Scheme Of Work Mathematics Form 2 2016

WeekDate Topics Learning Outcome SuggestedTeaching and learning Activitiee Remarks

1-2(041-151)

LDP 1(1601)

DIRECTED NUMBERS11 Performcomputationsinvolvingmultiplication anddivision of integersto solve problems

12 Performcomputationsinvolving combinedoperations ofadditionsubtractionmultiplication anddivision of integersto solve problems

Students will be able toi Multiply integersii Solve problems involvingmultiplication of integersiii Divide integersiv Solve problems involvingdivision of integers

i Perform computationsinvolving combinedoperations of additionsubtraction multiplication anddivision of integersii Solve problems involvingcombined operations ofaddition subtractionmultiplication and division ofintegers including the use of brackets

1048696 Use concrete materials such ascoloured chips and multiplicationtables to demonstratemultiplication and division ofintegers1048696 Complete multiplication table byrecognising patterns 1048696 Solve problems related to real-lifesituations1048696 eg(ndash 2) ndash 3 + (ndash 4)4 x (ndash 3) divide (ndash 6)1048696 Students use calculators tocompare and verify answers1048696 Solve problems related to real-lifesituations such as money and temperature

B2B3B3

B4B4B4B5B6

HOTSREMEMBERING

3-4 (181-291)

CUTI GANTI (2501)

THAIPUSAM (2401)

13 Extend the conceptof integers tofractions to solveproblems

14 Extend the conceptof integers todecimals to solveProblems

15 Performcomputationsinvolving directednumbers (integersfractions anddecimals)

i Perform addition subtractionmultiplication or divisioninvolving two directednumbersii Perform computationsinvolving combination of twoor more operations ondirected numbers includingthe use of bracketsiii Pose and solve problemsinvolving directed numbers

1048696 Explore addition subtractionmultiplication and division usingstandard algorithm andestimation1048696 Perform operations on integersegndash 2 + (ndash 3) x 41048696 Perform operations on fractions1048696 Perform operations on decimalseg25 ndash 12 x (ndash 03)1048696 Perform operations on integersfractions and decimals1048696 Solve problems related to real-lifesituations

B3B3B6

HOTSREMEMBERING

5-6 (012-122)

HARI WILAYAH

(0102)

21 Understand anduse the conceptof squares ofNumbers

i State a number multiplied by itself as a number to the power of two and vice-versaii Determine the squares ofnumbers without usingcalculatorsiii Estimate the squares ofnumbersiv Determine the squares ofnumbers using calculators

1048696 Recognise squares of numbersas the areas of the associated squares1048696 Use pencil-and-paper methodmental and speed calculations toevaluate squares of numberswhere appropriate1048696 Use estimation to check whetheranswers are reasonableeg

B1B1B2

TAHUN BARU CINA

(08-1202)

22 Understand anduse the conceptof square roots ofpositive numbers

23 Understand anduse the concept ofcube of numbers

24 Understand anduse the concept ofcube roots of numbers

v List perfect squaresvi Determine if a number is a perfect squarevii Pose and solve problemsinvolving squares of numbers

i State the square root of apositive number as thenumber multiplied by itselfequals to the given numberii Determine the square roots of perfect squares without using calculatoriii Determine the square roots of numbers without using calculatorsiv Multiply two square rootsv Estimate square roots ofnumbersvi Find the square roots ofnumbers using calculatorsvii Pose and solve problemsinvolving squares and square roots

i State a number multiplied by itself twice as a number to the power of three and vice versaii Determine cubes of numbers without using calculatorsiii Estimate cubes of numbersiv Determine cubes of numbers using calculatorsv Pose and solve problemsinvolving cubes of numbers

i State the cube root of anumber as the numbermultiplied by itself twiceequals to the given numberii Determine the cube roots of integers without usingcalculatorsiii Determine the cube roots of numbers without usingcalculatorsiv Estimate cube roots ofnumbersv Determine cube roots ofnumbers using calculatorsvi Pose and solve problemsinvolving cubes and cuberootsvii Perform computationsinvolving addition subtractionmultiplication division andmixed operations on squares square roots cubes and cube roots

27 is between 20 and 30272 is between 400 and 9001048696 Explore square numbers usingcalculators1048696 Explore perfect squares

1048696 Explore the concept of squareroots using areas of squares1048696 Investigate multiplicationsinvolving square roots ofa) the same numberb) different numbersUse estimation to check whetheranswers are reasonableeg

radic 7 is between 4 and 9

radic 7 is between 2 and 31048696 Use calculators to explore therelationship between squares andsquare roots

1048696 Recognise cube of a number asthe volume of the associated cube1048696 Use pencil-and-paper methodspeed and mental calculations toevaluate cubes of numbers1048696 Explore estimation of cubes ofnumberseg048 is between 04 and 050483 is between 0064 and 01251048696 Explore cubes of numbers using calculator

1048696 Use calculators to explore therelationship between cubes andcube roots1048696 Explore estimation of cube rootsof numberseg20 is between 8 and 273 20 is between 2 and 3Limit toa) Fractions that canbe reduced such that the numerators and denominators arecubes of integersb) Decimals that canbe written in the form of cube ofanother decimal1048696 Explore the relationship betweencubes and cube roots using calculators

B2B2B3

B2B3B4

B2B3

HOTSUNDERSTANDING

ampAPPLYING

B3

B4B5B6

7(152-192)

CUTI PERISTIWA

1(1602)

31 Understand theconcept ofalgebraic terms intwo or moreunknowns

32 PerformcomputationsInvolving multiplication anddivision of two ormore terms

i Identify unknowns in algebraic terms in two or more unknownsii Identify algebraic terms in two or more unknowns as the product of the unknowns with a numberiii Identify coefficients in given algebraic terms in two or more unknownsiv Identify like and unlikealgebraic terms in two ormore unknownsv State like terms for a given algebraic term

i Find the product of twoalgebraic termsii Find the quotient of twoalgebraic termsiii Perform multiplication anddivision involving algebraic terms

1048696 Students identify unknowns ingiven algebraic termseg3ab a amp b are unknownsndash3d 2 d is an unknown1048696 Use examples of everydaysituations to explain algebraicterms in two or more unknowns

1048696 Explore multiplication and divisionof algebraic terms using concretematerials or pictorialrepresentationsegFind the area of a w all covered by10 pieces of tiles each measuringx cm by y cm1048696 Perform multiplication anddivision such as6pq 2 x 3p divide 2qr

B1B2B3

B3

HOTSREMEMBE

RING

UNDERSTANDING

APPLYING

8(2202-2602)

MESYPIBG SEKOLAH

(2802)

33 Understand theconcept ofalgebraicexpressions

34 Performcomputationsinvolvingalgebraicexpressions

i Write algebraic expressionsfor given situations usingletter symbolsii Recognise algebraicexpressions in two or moreunknownsiii Determine the number ofterms in given algebraicexpressions in two or moreunknownsiv Simplify algebraicexpressions by collecting like termsv Evaluate expressions bysubstituting numbers for lettersi Multiply and divide algebraic expressions by a numberii Performa) additionb) subtractioninvolving two algebraicexpressionsiii Simplify algebraicexpressions

1048696 Use situations to demonstrate theconcept of algebraic expression1048696 ega) Add 7 to a number n + 7b) A number multiplied by 2 andthen 5 added (n x 2) + 5 or2n + 51048696 Investigate the differencebetween expressions such as2n and n + 2 3(c + 5) and 3c + 5n2 and 2n 2n2 and (2n)2

1048696 Use situations to explaincomputations involving algebraicexpressions1048696 Investigate why 8(3x ndash 2)= 24x ndash 161048696 Add and subtract algebraicexpressions by removing bracketand collecting like terms1048696 Simplify algebraic expressions

B2B3

HOTS

REMEMBERING

UNDERSTANDING

APPLYING

B3B3B4

9(292-043)

41 Understand anduse the concept

i State the relationshipbetween two quantities by

1048696 Use concrete examples toillustrate lsquo=rsquo and lsquo1048696rsquo

B1B2

MERENTAS DESA(53)

of equality

42 Understand anduse the conceptof linearequations in oneunknown

using the symbols lsquo=rsquo or lsquo1048696rsquo

i Recognise linear algebraictermsii Recognise linear algebraicexpressionsiii Determine if a given equation isa) a linear equationb) a linear equation in oneunknowniv Write linear equations in one unknown for given statements

1048696 Discuss cases such asa) If a = b then b = aeg 2+3 = 4+1 then 4+1 = 2+3b) If a = b and b = c then a =ceg 4+5 = 2+7 then 2+7=3+6then 4+5 = 3+61048696 Discuss why given algebraicterms and expressions are linear1048696 Given a list of terms studentsidentify linear termseg 3x xy x23x is a linear term1048696 Select linear expressions given alist of algebraic expressionseg 2x + 3 x 1048696 2y xy + 2 x2 1048696 12x + 3 x 1048696 2y are linear expressions1048696 Select linear equations given alist of equationsegx + 3 = 5 x 1048696 2y = 7 xy = 10x + 3 = 5 x 1048696 2y = 7 are linearequationsx + 3 = 5 is linear equation inone unknown1048696 Include examples from everydaysituations

B2B3

HOTSUNDERSTANDING

UJIAN SERENTAK 1(73-113)

CUTI PERTENGAHAN PENGGAL (143-183)

11 (213-253)

SAMBUTAN HARI ASAS

KE 97(213)

MESYUARAT PANITIA 2

(263)

43 Understand theconcept ofsolutions of linearequations in oneunknown

i Determine if a numerical value is a solution of a given linear equation in one unknownii Determine the solution of a linear equation in oneunknown by trial andimprovement methodiii Solve equations in the form ofa) x + a = bb) x 1048696 a = bc) ax = bd) ax = bwhere a b c are integers and x is an unknowniv Solve equations in the form of ax + b = c where a b c are integers and x is anunknownv Solve linear equations in one unknownvi Pose and solve problemsinvolving linear equations in one unknown

1048696 Use concrete examples to explainsolutions of linear equation in oneunknowneg Relate x + 2 = 5 to 1048696 + 2 = 51048696 Solve and verify linear equationsin one unknown by inspection andsystematic trial using w holenumbers with and without the use of calculators1048696 Involve examples from everydaysituations

B3B4B5

HOTS

UNDERSTANDING

APPLYING

12(283-14)

51 Understand theconcept of ratio of two quantities i Compare two quantities in 1048696 Use everyday examples to B2

TAHUN BARU CINA

(08-1202)

22 Understand anduse the conceptof square roots ofpositive numbers

23 Understand anduse the concept ofcube of numbers

24 Understand anduse the concept ofcube roots of numbers

v List perfect squaresvi Determine if a number is a perfect squarevii Pose and solve problemsinvolving squares of numbers

i State the square root of apositive number as thenumber multiplied by itselfequals to the given numberii Determine the square roots of perfect squares without using calculatoriii Determine the square roots of numbers without using calculatorsiv Multiply two square rootsv Estimate square roots ofnumbersvi Find the square roots ofnumbers using calculatorsvii Pose and solve problemsinvolving squares and square roots

i State a number multiplied by itself twice as a number to the power of three and vice versaii Determine cubes of numbers without using calculatorsiii Estimate cubes of numbersiv Determine cubes of numbers using calculatorsv Pose and solve problemsinvolving cubes of numbers

i State the cube root of anumber as the numbermultiplied by itself twiceequals to the given numberii Determine the cube roots of integers without usingcalculatorsiii Determine the cube roots of numbers without usingcalculatorsiv Estimate cube roots ofnumbersv Determine cube roots ofnumbers using calculatorsvi Pose and solve problemsinvolving cubes and cuberootsvii Perform computationsinvolving addition subtractionmultiplication division andmixed operations on squares square roots cubes and cube roots

27 is between 20 and 30272 is between 400 and 9001048696 Explore square numbers usingcalculators1048696 Explore perfect squares

1048696 Explore the concept of squareroots using areas of squares1048696 Investigate multiplicationsinvolving square roots ofa) the same numberb) different numbersUse estimation to check whetheranswers are reasonableeg

radic 7 is between 4 and 9

radic 7 is between 2 and 31048696 Use calculators to explore therelationship between squares andsquare roots

1048696 Recognise cube of a number asthe volume of the associated cube1048696 Use pencil-and-paper methodspeed and mental calculations toevaluate cubes of numbers1048696 Explore estimation of cubes ofnumberseg048 is between 04 and 050483 is between 0064 and 01251048696 Explore cubes of numbers using calculator

1048696 Use calculators to explore therelationship between cubes andcube roots1048696 Explore estimation of cube rootsof numberseg20 is between 8 and 273 20 is between 2 and 3Limit toa) Fractions that canbe reduced such that the numerators and denominators arecubes of integersb) Decimals that canbe written in the form of cube ofanother decimal1048696 Explore the relationship betweencubes and cube roots using calculators

B2B2B3

B2B3B4

B2B3

HOTSUNDERSTANDING

ampAPPLYING

B3

B4B5B6

7(152-192)

CUTI PERISTIWA

1(1602)

31 Understand theconcept ofalgebraic terms intwo or moreunknowns

32 PerformcomputationsInvolving multiplication anddivision of two ormore terms

i Identify unknowns in algebraic terms in two or more unknownsii Identify algebraic terms in two or more unknowns as the product of the unknowns with a numberiii Identify coefficients in given algebraic terms in two or more unknownsiv Identify like and unlikealgebraic terms in two ormore unknownsv State like terms for a given algebraic term

i Find the product of twoalgebraic termsii Find the quotient of twoalgebraic termsiii Perform multiplication anddivision involving algebraic terms

1048696 Students identify unknowns ingiven algebraic termseg3ab a amp b are unknownsndash3d 2 d is an unknown1048696 Use examples of everydaysituations to explain algebraicterms in two or more unknowns

1048696 Explore multiplication and divisionof algebraic terms using concretematerials or pictorialrepresentationsegFind the area of a w all covered by10 pieces of tiles each measuringx cm by y cm1048696 Perform multiplication anddivision such as6pq 2 x 3p divide 2qr

B1B2B3

B3

HOTSREMEMBE

RING

UNDERSTANDING

APPLYING

8(2202-2602)

MESYPIBG SEKOLAH

(2802)

33 Understand theconcept ofalgebraicexpressions

34 Performcomputationsinvolvingalgebraicexpressions

i Write algebraic expressionsfor given situations usingletter symbolsii Recognise algebraicexpressions in two or moreunknownsiii Determine the number ofterms in given algebraicexpressions in two or moreunknownsiv Simplify algebraicexpressions by collecting like termsv Evaluate expressions bysubstituting numbers for lettersi Multiply and divide algebraic expressions by a numberii Performa) additionb) subtractioninvolving two algebraicexpressionsiii Simplify algebraicexpressions

1048696 Use situations to demonstrate theconcept of algebraic expression1048696 ega) Add 7 to a number n + 7b) A number multiplied by 2 andthen 5 added (n x 2) + 5 or2n + 51048696 Investigate the differencebetween expressions such as2n and n + 2 3(c + 5) and 3c + 5n2 and 2n 2n2 and (2n)2

1048696 Use situations to explaincomputations involving algebraicexpressions1048696 Investigate why 8(3x ndash 2)= 24x ndash 161048696 Add and subtract algebraicexpressions by removing bracketand collecting like terms1048696 Simplify algebraic expressions

B2B3

HOTS

REMEMBERING

UNDERSTANDING

APPLYING

B3B3B4

9(292-043)

41 Understand anduse the concept

i State the relationshipbetween two quantities by

1048696 Use concrete examples toillustrate lsquo=rsquo and lsquo1048696rsquo

B1B2

MERENTAS DESA(53)

of equality

42 Understand anduse the conceptof linearequations in oneunknown

using the symbols lsquo=rsquo or lsquo1048696rsquo

i Recognise linear algebraictermsii Recognise linear algebraicexpressionsiii Determine if a given equation isa) a linear equationb) a linear equation in oneunknowniv Write linear equations in one unknown for given statements

1048696 Discuss cases such asa) If a = b then b = aeg 2+3 = 4+1 then 4+1 = 2+3b) If a = b and b = c then a =ceg 4+5 = 2+7 then 2+7=3+6then 4+5 = 3+61048696 Discuss why given algebraicterms and expressions are linear1048696 Given a list of terms studentsidentify linear termseg 3x xy x23x is a linear term1048696 Select linear expressions given alist of algebraic expressionseg 2x + 3 x 1048696 2y xy + 2 x2 1048696 12x + 3 x 1048696 2y are linear expressions1048696 Select linear equations given alist of equationsegx + 3 = 5 x 1048696 2y = 7 xy = 10x + 3 = 5 x 1048696 2y = 7 are linearequationsx + 3 = 5 is linear equation inone unknown1048696 Include examples from everydaysituations

B2B3

HOTSUNDERSTANDING

UJIAN SERENTAK 1(73-113)

CUTI PERTENGAHAN PENGGAL (143-183)

11 (213-253)

SAMBUTAN HARI ASAS

KE 97(213)

MESYUARAT PANITIA 2

(263)

43 Understand theconcept ofsolutions of linearequations in oneunknown

i Determine if a numerical value is a solution of a given linear equation in one unknownii Determine the solution of a linear equation in oneunknown by trial andimprovement methodiii Solve equations in the form ofa) x + a = bb) x 1048696 a = bc) ax = bd) ax = bwhere a b c are integers and x is an unknowniv Solve equations in the form of ax + b = c where a b c are integers and x is anunknownv Solve linear equations in one unknownvi Pose and solve problemsinvolving linear equations in one unknown

1048696 Use concrete examples to explainsolutions of linear equation in oneunknowneg Relate x + 2 = 5 to 1048696 + 2 = 51048696 Solve and verify linear equationsin one unknown by inspection andsystematic trial using w holenumbers with and without the use of calculators1048696 Involve examples from everydaysituations

B3B4B5

HOTS

UNDERSTANDING

APPLYING

12(283-14)

51 Understand theconcept of ratio of two quantities i Compare two quantities in 1048696 Use everyday examples to B2

7(152-192)

CUTI PERISTIWA

1(1602)

31 Understand theconcept ofalgebraic terms intwo or moreunknowns

32 PerformcomputationsInvolving multiplication anddivision of two ormore terms

i Identify unknowns in algebraic terms in two or more unknownsii Identify algebraic terms in two or more unknowns as the product of the unknowns with a numberiii Identify coefficients in given algebraic terms in two or more unknownsiv Identify like and unlikealgebraic terms in two ormore unknownsv State like terms for a given algebraic term

i Find the product of twoalgebraic termsii Find the quotient of twoalgebraic termsiii Perform multiplication anddivision involving algebraic terms

1048696 Students identify unknowns ingiven algebraic termseg3ab a amp b are unknownsndash3d 2 d is an unknown1048696 Use examples of everydaysituations to explain algebraicterms in two or more unknowns

1048696 Explore multiplication and divisionof algebraic terms using concretematerials or pictorialrepresentationsegFind the area of a w all covered by10 pieces of tiles each measuringx cm by y cm1048696 Perform multiplication anddivision such as6pq 2 x 3p divide 2qr

B1B2B3

B3

HOTSREMEMBE

RING

UNDERSTANDING

APPLYING

8(2202-2602)

MESYPIBG SEKOLAH

(2802)

33 Understand theconcept ofalgebraicexpressions

34 Performcomputationsinvolvingalgebraicexpressions

i Write algebraic expressionsfor given situations usingletter symbolsii Recognise algebraicexpressions in two or moreunknownsiii Determine the number ofterms in given algebraicexpressions in two or moreunknownsiv Simplify algebraicexpressions by collecting like termsv Evaluate expressions bysubstituting numbers for lettersi Multiply and divide algebraic expressions by a numberii Performa) additionb) subtractioninvolving two algebraicexpressionsiii Simplify algebraicexpressions

1048696 Use situations to demonstrate theconcept of algebraic expression1048696 ega) Add 7 to a number n + 7b) A number multiplied by 2 andthen 5 added (n x 2) + 5 or2n + 51048696 Investigate the differencebetween expressions such as2n and n + 2 3(c + 5) and 3c + 5n2 and 2n 2n2 and (2n)2

1048696 Use situations to explaincomputations involving algebraicexpressions1048696 Investigate why 8(3x ndash 2)= 24x ndash 161048696 Add and subtract algebraicexpressions by removing bracketand collecting like terms1048696 Simplify algebraic expressions

B2B3

HOTS

REMEMBERING

UNDERSTANDING

APPLYING

B3B3B4

9(292-043)

41 Understand anduse the concept

i State the relationshipbetween two quantities by

1048696 Use concrete examples toillustrate lsquo=rsquo and lsquo1048696rsquo

B1B2

MERENTAS DESA(53)

of equality

42 Understand anduse the conceptof linearequations in oneunknown

using the symbols lsquo=rsquo or lsquo1048696rsquo

i Recognise linear algebraictermsii Recognise linear algebraicexpressionsiii Determine if a given equation isa) a linear equationb) a linear equation in oneunknowniv Write linear equations in one unknown for given statements

1048696 Discuss cases such asa) If a = b then b = aeg 2+3 = 4+1 then 4+1 = 2+3b) If a = b and b = c then a =ceg 4+5 = 2+7 then 2+7=3+6then 4+5 = 3+61048696 Discuss why given algebraicterms and expressions are linear1048696 Given a list of terms studentsidentify linear termseg 3x xy x23x is a linear term1048696 Select linear expressions given alist of algebraic expressionseg 2x + 3 x 1048696 2y xy + 2 x2 1048696 12x + 3 x 1048696 2y are linear expressions1048696 Select linear equations given alist of equationsegx + 3 = 5 x 1048696 2y = 7 xy = 10x + 3 = 5 x 1048696 2y = 7 are linearequationsx + 3 = 5 is linear equation inone unknown1048696 Include examples from everydaysituations

B2B3

HOTSUNDERSTANDING

UJIAN SERENTAK 1(73-113)

CUTI PERTENGAHAN PENGGAL (143-183)

11 (213-253)

SAMBUTAN HARI ASAS

KE 97(213)

MESYUARAT PANITIA 2

(263)

43 Understand theconcept ofsolutions of linearequations in oneunknown

i Determine if a numerical value is a solution of a given linear equation in one unknownii Determine the solution of a linear equation in oneunknown by trial andimprovement methodiii Solve equations in the form ofa) x + a = bb) x 1048696 a = bc) ax = bd) ax = bwhere a b c are integers and x is an unknowniv Solve equations in the form of ax + b = c where a b c are integers and x is anunknownv Solve linear equations in one unknownvi Pose and solve problemsinvolving linear equations in one unknown

1048696 Use concrete examples to explainsolutions of linear equation in oneunknowneg Relate x + 2 = 5 to 1048696 + 2 = 51048696 Solve and verify linear equationsin one unknown by inspection andsystematic trial using w holenumbers with and without the use of calculators1048696 Involve examples from everydaysituations

B3B4B5

HOTS

UNDERSTANDING

APPLYING

12(283-14)

51 Understand theconcept of ratio of two quantities i Compare two quantities in 1048696 Use everyday examples to B2

MERENTAS DESA(53)

of equality

42 Understand anduse the conceptof linearequations in oneunknown

using the symbols lsquo=rsquo or lsquo1048696rsquo

i Recognise linear algebraictermsii Recognise linear algebraicexpressionsiii Determine if a given equation isa) a linear equationb) a linear equation in oneunknowniv Write linear equations in one unknown for given statements

1048696 Discuss cases such asa) If a = b then b = aeg 2+3 = 4+1 then 4+1 = 2+3b) If a = b and b = c then a =ceg 4+5 = 2+7 then 2+7=3+6then 4+5 = 3+61048696 Discuss why given algebraicterms and expressions are linear1048696 Given a list of terms studentsidentify linear termseg 3x xy x23x is a linear term1048696 Select linear expressions given alist of algebraic expressionseg 2x + 3 x 1048696 2y xy + 2 x2 1048696 12x + 3 x 1048696 2y are linear expressions1048696 Select linear equations given alist of equationsegx + 3 = 5 x 1048696 2y = 7 xy = 10x + 3 = 5 x 1048696 2y = 7 are linearequationsx + 3 = 5 is linear equation inone unknown1048696 Include examples from everydaysituations

B2B3

HOTSUNDERSTANDING

UJIAN SERENTAK 1(73-113)

CUTI PERTENGAHAN PENGGAL (143-183)

11 (213-253)

SAMBUTAN HARI ASAS

KE 97(213)

MESYUARAT PANITIA 2

(263)

43 Understand theconcept ofsolutions of linearequations in oneunknown

i Determine if a numerical value is a solution of a given linear equation in one unknownii Determine the solution of a linear equation in oneunknown by trial andimprovement methodiii Solve equations in the form ofa) x + a = bb) x 1048696 a = bc) ax = bd) ax = bwhere a b c are integers and x is an unknowniv Solve equations in the form of ax + b = c where a b c are integers and x is anunknownv Solve linear equations in one unknownvi Pose and solve problemsinvolving linear equations in one unknown

1048696 Use concrete examples to explainsolutions of linear equation in oneunknowneg Relate x + 2 = 5 to 1048696 + 2 = 51048696 Solve and verify linear equationsin one unknown by inspection andsystematic trial using w holenumbers with and without the use of calculators1048696 Involve examples from everydaysituations

B3B4B5

HOTS

UNDERSTANDING

APPLYING

12(283-14)

51 Understand theconcept of ratio of two quantities i Compare two quantities in 1048696 Use everyday examples to B2

the form a b ii Determine whether givenratios are equivalent ratiosiii Simplify ratios to the lowest termsiv State ratios related to a given ratio

introduce the concept of ratio1048696 Use concrete examples toexplorea) equivalent ratiosb) related ratios

B3

13 ndash 14(44-154)

CHENG BENG(44)

CUTI PERISTIWA 2

(44)

52 Understand theconcept ofproportion tosolve problems

53 Understand anduse the concept ofratio of threequantities to solveproblems

i State whether two pairs ofquantities is a proportionii Determine if a quantity isproportional to anotherquantity given two values ofeach quantityiii Find the value of a quantity given the ratio of the two quantities and the value of another quantityiv Find the value of a quantity given the ratio and the sum of the two quantitiesv Find the sum of two quantities given the ratio of the quantities and the difference between the quantitiesvi Pose and solve problemsinvolving ratios andproportionsvii Find the value of each of the three quantities givena) the ratio and the sum ofthree quantitiesb) the ratio and the difference between two of the three quantitiesviii Find the sum of threequantities given the ratio andthe difference between two of the three quantitiesix Pose and solve problemsinvolving ratio of threequantities

i Compare three quantities in the form a b cii Determine whether givenratios are equivalent ratiosiii Simplify ratio of threequantities to the lowest termsiv State the ratio of any twoquantities given ratio of threequantitiesv Find the ratio of a b c given the ratio of a b and b c Include quantities of

1048696 Use everyday examples tointroduce the concept ofproportion1048696 Verify the method of crossmultiplication and use it to findthe missing terms of a proportion

1048696 Use everyday examples tointroduce the concept of ratio ofthree quantities1048696 Use concrete examples toexplore equivalent ratios

B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

different unitsa b = p qb c = m nwhen a) q = mb) q 1048696 mBegin with unitary methodSimplify equivalentlowest terms value sumDifference vi Find the value of the other quantities given the ratio of three quantities and the valueof one of the quantitiesvii Find the value of each of the three quantities givena) the ratio and the sum ofthree quantitiesb) the ratio and the difference between two of the three quantitiesviii Find the sum of threequantities given the ratio andthe difference between two of the three quantitiesix Pose and solve problemsinvolving ratio of three quantities

15(184-224)

MGGU PPDa

LDP 2(234)

61 Understand therelationshipbetween thesides of a right angled triangle

62 Understand anduse the converseof the Pythagorasrsquotheorem

i Identify the hypotenuse ofright-angled trianglesii Determine the relationshipbetween the lengths of thesides of a right-angledtriangleiii Find the length of the missing side of a right-angled triangle using the Pythagorasrsquo theoremiv Find the length of sides ofgeometric shapes usingPythagorasrsquo theoremv Solve problems using thePythagorasrsquo theorem

i Determine whether a triangle is a right-angled triangleii Solve problems involving the converse Pythagorasrsquotheorem

1048696 Students identify the hypotenuseof right-angled triangles draw n indifferent orientations1048696 Use dynamic geometry softwaregrid papers or geo-boards toexplore and investigate thePythagorasrsquo theorem

1048696 Explore and investigate theconverse of the Pythagorasrsquotheorem through activities

B1B2B3B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

16-17(254-65)

HARI PEKERJA

(15)

71 Performconstructionsusing straightedge (ruler andset square) andcompass

i Construct a line segment of given lengthii Construct a triangle given the length of the sidesiii Constructa) perpendicular bisector ofa given line segment

1048696 Relate constructions to propertiesof rhombus and isoscelestriangle1048696 Relate the construction to theproperties of equilateral triangleiv Constructa) angle of 601048696 and 1201048696

B3B4B5B6

CUTI GANTI HARI

PEKERJA (25)

TEMASYA SUKAN

(65) CUTI

PERISTIWA 3(65)

81 Understand anduse the conceptof coordinates

b) perpendicular to a linepassing through a pointon the linec) perpendicular to a linepassing through a pointnot on the lineiv Constructa) angle of 601048696 and 1201048696b) bisector of an anglev Construct triangles givena) one side and two anglesb) two sides and oneanglevi Constructa) parallel linesb) parallelogram given itssides and an angle

i Identify the x-axis y-axis andthe origin on a Cartesianplaneii Plot points and state thecoordinates of the pointsgiven distances from they-axis and x-axisiii Plot points and state thedistances of the points fromthe y-axis and x-axis givencoordinates of the pointsiv State the coordinates ofpoints on Cartesian plane

b) bisector of an angleEmphasise the use ofthe bisector of anangle to constructangles of 301048696 451048696 and151048696 and etcMeasure angles usingprotractors1048696 Explore situation w hen twodifferent triangles can beconstructed

i Identify the x-axis y-axis andthe origin on a Cartesianplaneii Plot points and state thecoordinates of the pointsgiven distances from they-axis and x-axisiii Plot points and state thedistances of the points fromthe y-axis and x-axis givencoordinates of the pointsiv State the coordinates ofpoints on Cartesian plane

B1B2B3

HOTS UNDERSTANDIN

G

APPLYING

18-20(95-275)

CUTI WESAK

(215)

PEPERIKSAAN PERTENGAHAN TAHUNJAMUAN HARI GURU

(285)

CUTI PERTENGAHAN TAHUN(305-116)

HARI KEPUTERAAN YANG DI- PERTUAN AGONG(46)

21 -22(136-246)

HARI NUZUL QURAN

(226)

82 Understand anduse the conceptof scales for thecoordinate axes

i Mark the values on both axes by extending the sequence ofgiven values on the axesii State the scales used in given coordinate axes wherea) scales for axes are thesameb) scales for axes aredifferentiii Mark the values on both axes with reference to the scales given

1048696 Use dynamic geometry softwareto explore and investigate theconcept scales1048696 Explore the effects of shapes ofobjects by using different scales1048696 Explore positions of places ontopography maps1048696 Pose and solve problemsinvolving coordinates of verticesof shapes such asName the shape formed byA(1 5) B(2 5) C(4 3) andD(3 3)Three of the four vertices of a

B3

HOTS

REMEMBERING

UNDERSTANDIN

G

83 Understand anduse the concept ofdistance betweentwo points on aCartesian plane

84 Understand anduse the concept ofmidpoints

91 Understand theconcept of two dimensional loci

iv State the coordinates of agiven point with reference tothe scales givenv Plot points given thecoordinates with reference to the scales givenvi Pose and solve problemsinvolving coordinates

i Find the distance betweentwo points witha) common y-coordinatesb) common x-coordinatesii Find the distance betweentwo points using Pythagorasrsquotheoremiii Pose and solve problemsinvolving distance between two points

i Identify the midpoint of astraight line joining two pointsii Find the coordinates of themidpoint of a straight linejoining two points witha) common y-coordinatesb) common x-coordinatesiii Find the coordinates of the midpoint of the line joining two pointsiv Pose and solve problemsinvolving midpoints

i Describe and sketch the locus of a moving objectii Determine the locus of points that are ofa) constant distance from afixed pointb) equidistant from twofixed pointsc) constant distance from astraight lined) equidistant from twointersecting linesiii Construct the locus of a set ofall points that satisfies theconditiona) the point is at a constant

square are (10486961 1) (2 5) and(6 2) State the coordinates ofthe fourth vertex

1048696 Discuss different methods offinding distance between twopoints such asa) inspectionb) moving one point to the otherc) computing the differencebetween the x-coordinates ory-coordinates1048696 Students draw the appropriateright-angled triangle using thedistance between the two points as the hypotenuse

1048696 Introduce the concept ofmidpoints through activities suchas folding constructing draw ingand counting1048696 Use dynamic geometry softwareto explore and investigate theconcept of midpoints

1048696 Use everyday examples such asfamiliar routes and simple pathsto introduce the concept of loci1048696 Discuss the locus of a point in agiven diagrameg Describe a locus of a pointequidistant from A and C

APPLYING

B3

B3B4B5B6

HOTSUNDERSTANDIN

G

APPLYING

distance from a fixed pointb) the point is at equidistantfrom two fixed pointsc) the point is at a constantdistance from a straight lined) the point is at equidistantfrom two intersecting lines

B3

23(276 ndash 17)

92 Understand theconcept of theintersection oftwo loci

i Determine the intersections oftwo loci by drawing the lociand locating the points thatsatisfy the conditions of thetwo loci

1048696 Use everyday examples orgames to discuss the intersectionof two loci1048696 Mark the points that satisfy theconditionsa) Equidistant from A and Cb) 3 cm from A

B4B5

24-25(47-157)

HARI RAYA PUASA (67-77)

CUTI PERUNTUKK

AN OLEH KPM

(4587)

101 Recognise anddraw parts of acircle

102 Understand and use the conceptof circumferenceto solve problems

103 Understand and use the conceptof arc of a circleto solve problems

i Identify circle as a set ofpoints equidistant from a fixed pointii Identify parts of a circlea) centerb) circumferencec) radiusd) diametere) chordf) arcg) sectorh) segmentiii Draw a) a circle given the radiusand centreb) a circle given thediameterc) a diameter passingthrough a specific pointin a circle given the centred) a chord of a given lengthpassing through a pointon the circumferencee) sector given the size ofthe angle at the centreand radius of the circleiv Determine thea) centerb) radiusof a given circle byconstruction

i Estimate the value of 1048696ii Derive the formula of thecircumference of a circleiii Find the circumference of a circle given itsa) diameterb) radiusiv Find thea) diameterb) radiusgiven the circumference of acircle

1048696 Introduce the concept of circle asa locus1048696 Use dynamic geometry softwareto explore parts of a circle

1048696 Measure diameter andcircumference of circular objects1048696 Explore the history of 10486961048696 Explore the value of 1048696 usingdynamic geometry software

B1B2B3

HOTS

REMEMBERING

UNDERSTANDIN

G

APPLYING

B3

v Solve problems involving circumference of circles

26(187 ndash 227)

104 Understand and use the concept of area of a circle tosolve problems

105 Understand and use the conceptof area of sectorof a circle to solveproblems

i Derive the formula of the area of a circleii Find the area of a circle given thea) radiusb) diameteriii Finda) radiusb) diametergiven the area of a circleiv Find the area of a circle given the circumference and vice versav Solve problems involving area of circlesi Derive the formula of the area of a sectorii Find the area of a sectorgiven the radius and angle atthe centreiii Find the angle at the centre given the radius and area of a sectoriv Find the radius given the area of a sector and the angle at the centrev Solve problems involving area of sectors and area of circles

1048696 Explore the relationship betweenthe radius and the area of a circlea) using dynamic geometrysoftwareb) through activities such ascutting the circle into equalsectors and rearranging theminto rectangular form

1048696 Explore the relationship betweenthe area of a sector and the angleat the centre of the circle usingdynamic geometry software

B3B4B5B6

27 ndash 28(257 -58)

MGGU SAINS amp MATH

SEMAKAN BUKU

LATIHAN

111 Understand theconcept oftransformations

112 Understand and use the conceptof translations

i Identify a transformation as a one-to-one correspondencebetween points in a planeii Identify the object and itsimage in a given transformation

i Identify a translationii Determine the image of anobject under a giventranslationiii Describe a translationa) by stating the directionand distance of themovementb) in the formbaiv Determine the properties of translationv Determine the

1048696 Explore concepts intransformational geometry usingconcrete materials drawingsgeo-boards and dynamicgeometry software

1048696 Explore translations given in theformba1048696 Investigate the shapes andsizes lengths and angles of theimages and the objects

B1B2B3

HOTS

UNDERSTANDIN

G

APPLYING

113 Understand and use the conceptof reflections

114 Understand and use the conceptof rotations

coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a translationvi Solve problems involvingtranslations

i Identify a reflectionii Determine the image of anobject under a reflection on a given lineiii Determine the properties of reflectionsiv Determinea) the image of an objectgiven the axis ofreflectionb) the axis of reflection giventhe object and its imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a reflectionvi Describe a reflection given the object and imagevii Solve problems involving reflections

i Identify a rotationii Determine the image of anobject under a rotation giventhe centre the angle anddirection of rotationiii Determine the properties of rotationsiv Determinea) image of an object giventhe centre angle anddirection of rotationb) the centre angle anddirection of rotation giventhe object and the imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the object

1048696 Explore the image of an objectunder a reflection by drawingusing tracing paper or paperfolding1048696 Investigate the shapes andsizes lengths and angles of theimages and objects

1048696 Explore the image of an objectunder a rotation by drawing andusing tracing paper

B3

B3

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

different unitsa b = p qb c = m nwhen a) q = mb) q 1048696 mBegin with unitary methodSimplify equivalentlowest terms value sumDifference vi Find the value of the other quantities given the ratio of three quantities and the valueof one of the quantitiesvii Find the value of each of the three quantities givena) the ratio and the sum ofthree quantitiesb) the ratio and the difference between two of the three quantitiesviii Find the sum of threequantities given the ratio andthe difference between two of the three quantitiesix Pose and solve problemsinvolving ratio of three quantities

15(184-224)

MGGU PPDa

LDP 2(234)

61 Understand therelationshipbetween thesides of a right angled triangle

62 Understand anduse the converseof the Pythagorasrsquotheorem

i Identify the hypotenuse ofright-angled trianglesii Determine the relationshipbetween the lengths of thesides of a right-angledtriangleiii Find the length of the missing side of a right-angled triangle using the Pythagorasrsquo theoremiv Find the length of sides ofgeometric shapes usingPythagorasrsquo theoremv Solve problems using thePythagorasrsquo theorem

i Determine whether a triangle is a right-angled triangleii Solve problems involving the converse Pythagorasrsquotheorem

1048696 Students identify the hypotenuseof right-angled triangles draw n indifferent orientations1048696 Use dynamic geometry softwaregrid papers or geo-boards toexplore and investigate thePythagorasrsquo theorem

1048696 Explore and investigate theconverse of the Pythagorasrsquotheorem through activities

B1B2B3B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

16-17(254-65)

HARI PEKERJA

(15)

71 Performconstructionsusing straightedge (ruler andset square) andcompass

i Construct a line segment of given lengthii Construct a triangle given the length of the sidesiii Constructa) perpendicular bisector ofa given line segment

1048696 Relate constructions to propertiesof rhombus and isoscelestriangle1048696 Relate the construction to theproperties of equilateral triangleiv Constructa) angle of 601048696 and 1201048696

B3B4B5B6

CUTI GANTI HARI

PEKERJA (25)

TEMASYA SUKAN

(65) CUTI

PERISTIWA 3(65)

81 Understand anduse the conceptof coordinates

b) perpendicular to a linepassing through a pointon the linec) perpendicular to a linepassing through a pointnot on the lineiv Constructa) angle of 601048696 and 1201048696b) bisector of an anglev Construct triangles givena) one side and two anglesb) two sides and oneanglevi Constructa) parallel linesb) parallelogram given itssides and an angle

i Identify the x-axis y-axis andthe origin on a Cartesianplaneii Plot points and state thecoordinates of the pointsgiven distances from they-axis and x-axisiii Plot points and state thedistances of the points fromthe y-axis and x-axis givencoordinates of the pointsiv State the coordinates ofpoints on Cartesian plane

b) bisector of an angleEmphasise the use ofthe bisector of anangle to constructangles of 301048696 451048696 and151048696 and etcMeasure angles usingprotractors1048696 Explore situation w hen twodifferent triangles can beconstructed

i Identify the x-axis y-axis andthe origin on a Cartesianplaneii Plot points and state thecoordinates of the pointsgiven distances from they-axis and x-axisiii Plot points and state thedistances of the points fromthe y-axis and x-axis givencoordinates of the pointsiv State the coordinates ofpoints on Cartesian plane

B1B2B3

HOTS UNDERSTANDIN

G

APPLYING

18-20(95-275)

CUTI WESAK

(215)

PEPERIKSAAN PERTENGAHAN TAHUNJAMUAN HARI GURU

(285)

CUTI PERTENGAHAN TAHUN(305-116)

HARI KEPUTERAAN YANG DI- PERTUAN AGONG(46)

21 -22(136-246)

HARI NUZUL QURAN

(226)

82 Understand anduse the conceptof scales for thecoordinate axes

i Mark the values on both axes by extending the sequence ofgiven values on the axesii State the scales used in given coordinate axes wherea) scales for axes are thesameb) scales for axes aredifferentiii Mark the values on both axes with reference to the scales given

1048696 Use dynamic geometry softwareto explore and investigate theconcept scales1048696 Explore the effects of shapes ofobjects by using different scales1048696 Explore positions of places ontopography maps1048696 Pose and solve problemsinvolving coordinates of verticesof shapes such asName the shape formed byA(1 5) B(2 5) C(4 3) andD(3 3)Three of the four vertices of a

B3

HOTS

REMEMBERING

UNDERSTANDIN

G

83 Understand anduse the concept ofdistance betweentwo points on aCartesian plane

84 Understand anduse the concept ofmidpoints

91 Understand theconcept of two dimensional loci

iv State the coordinates of agiven point with reference tothe scales givenv Plot points given thecoordinates with reference to the scales givenvi Pose and solve problemsinvolving coordinates

i Find the distance betweentwo points witha) common y-coordinatesb) common x-coordinatesii Find the distance betweentwo points using Pythagorasrsquotheoremiii Pose and solve problemsinvolving distance between two points

i Identify the midpoint of astraight line joining two pointsii Find the coordinates of themidpoint of a straight linejoining two points witha) common y-coordinatesb) common x-coordinatesiii Find the coordinates of the midpoint of the line joining two pointsiv Pose and solve problemsinvolving midpoints

i Describe and sketch the locus of a moving objectii Determine the locus of points that are ofa) constant distance from afixed pointb) equidistant from twofixed pointsc) constant distance from astraight lined) equidistant from twointersecting linesiii Construct the locus of a set ofall points that satisfies theconditiona) the point is at a constant

square are (10486961 1) (2 5) and(6 2) State the coordinates ofthe fourth vertex

1048696 Discuss different methods offinding distance between twopoints such asa) inspectionb) moving one point to the otherc) computing the differencebetween the x-coordinates ory-coordinates1048696 Students draw the appropriateright-angled triangle using thedistance between the two points as the hypotenuse

1048696 Introduce the concept ofmidpoints through activities suchas folding constructing draw ingand counting1048696 Use dynamic geometry softwareto explore and investigate theconcept of midpoints

1048696 Use everyday examples such asfamiliar routes and simple pathsto introduce the concept of loci1048696 Discuss the locus of a point in agiven diagrameg Describe a locus of a pointequidistant from A and C

APPLYING

B3

B3B4B5B6

HOTSUNDERSTANDIN

G

APPLYING

distance from a fixed pointb) the point is at equidistantfrom two fixed pointsc) the point is at a constantdistance from a straight lined) the point is at equidistantfrom two intersecting lines

B3

23(276 ndash 17)

92 Understand theconcept of theintersection oftwo loci

i Determine the intersections oftwo loci by drawing the lociand locating the points thatsatisfy the conditions of thetwo loci

1048696 Use everyday examples orgames to discuss the intersectionof two loci1048696 Mark the points that satisfy theconditionsa) Equidistant from A and Cb) 3 cm from A

B4B5

24-25(47-157)

HARI RAYA PUASA (67-77)

CUTI PERUNTUKK

AN OLEH KPM

(4587)

101 Recognise anddraw parts of acircle

102 Understand and use the conceptof circumferenceto solve problems

103 Understand and use the conceptof arc of a circleto solve problems

i Identify circle as a set ofpoints equidistant from a fixed pointii Identify parts of a circlea) centerb) circumferencec) radiusd) diametere) chordf) arcg) sectorh) segmentiii Draw a) a circle given the radiusand centreb) a circle given thediameterc) a diameter passingthrough a specific pointin a circle given the centred) a chord of a given lengthpassing through a pointon the circumferencee) sector given the size ofthe angle at the centreand radius of the circleiv Determine thea) centerb) radiusof a given circle byconstruction

i Estimate the value of 1048696ii Derive the formula of thecircumference of a circleiii Find the circumference of a circle given itsa) diameterb) radiusiv Find thea) diameterb) radiusgiven the circumference of acircle

1048696 Introduce the concept of circle asa locus1048696 Use dynamic geometry softwareto explore parts of a circle

1048696 Measure diameter andcircumference of circular objects1048696 Explore the history of 10486961048696 Explore the value of 1048696 usingdynamic geometry software

B1B2B3

HOTS

REMEMBERING

UNDERSTANDIN

G

APPLYING

B3

v Solve problems involving circumference of circles

26(187 ndash 227)

104 Understand and use the concept of area of a circle tosolve problems

105 Understand and use the conceptof area of sectorof a circle to solveproblems

i Derive the formula of the area of a circleii Find the area of a circle given thea) radiusb) diameteriii Finda) radiusb) diametergiven the area of a circleiv Find the area of a circle given the circumference and vice versav Solve problems involving area of circlesi Derive the formula of the area of a sectorii Find the area of a sectorgiven the radius and angle atthe centreiii Find the angle at the centre given the radius and area of a sectoriv Find the radius given the area of a sector and the angle at the centrev Solve problems involving area of sectors and area of circles

1048696 Explore the relationship betweenthe radius and the area of a circlea) using dynamic geometrysoftwareb) through activities such ascutting the circle into equalsectors and rearranging theminto rectangular form

1048696 Explore the relationship betweenthe area of a sector and the angleat the centre of the circle usingdynamic geometry software

B3B4B5B6

27 ndash 28(257 -58)

MGGU SAINS amp MATH

SEMAKAN BUKU

LATIHAN

111 Understand theconcept oftransformations

112 Understand and use the conceptof translations

i Identify a transformation as a one-to-one correspondencebetween points in a planeii Identify the object and itsimage in a given transformation

i Identify a translationii Determine the image of anobject under a giventranslationiii Describe a translationa) by stating the directionand distance of themovementb) in the formbaiv Determine the properties of translationv Determine the

1048696 Explore concepts intransformational geometry usingconcrete materials drawingsgeo-boards and dynamicgeometry software

1048696 Explore translations given in theformba1048696 Investigate the shapes andsizes lengths and angles of theimages and the objects

B1B2B3

HOTS

UNDERSTANDIN

G

APPLYING

113 Understand and use the conceptof reflections

114 Understand and use the conceptof rotations

coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a translationvi Solve problems involvingtranslations

i Identify a reflectionii Determine the image of anobject under a reflection on a given lineiii Determine the properties of reflectionsiv Determinea) the image of an objectgiven the axis ofreflectionb) the axis of reflection giventhe object and its imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a reflectionvi Describe a reflection given the object and imagevii Solve problems involving reflections

i Identify a rotationii Determine the image of anobject under a rotation giventhe centre the angle anddirection of rotationiii Determine the properties of rotationsiv Determinea) image of an object giventhe centre angle anddirection of rotationb) the centre angle anddirection of rotation giventhe object and the imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the object

1048696 Explore the image of an objectunder a reflection by drawingusing tracing paper or paperfolding1048696 Investigate the shapes andsizes lengths and angles of theimages and objects

1048696 Explore the image of an objectunder a rotation by drawing andusing tracing paper

B3

B3

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

CUTI GANTI HARI

PEKERJA (25)

TEMASYA SUKAN

(65) CUTI

PERISTIWA 3(65)

81 Understand anduse the conceptof coordinates

b) perpendicular to a linepassing through a pointon the linec) perpendicular to a linepassing through a pointnot on the lineiv Constructa) angle of 601048696 and 1201048696b) bisector of an anglev Construct triangles givena) one side and two anglesb) two sides and oneanglevi Constructa) parallel linesb) parallelogram given itssides and an angle

i Identify the x-axis y-axis andthe origin on a Cartesianplaneii Plot points and state thecoordinates of the pointsgiven distances from they-axis and x-axisiii Plot points and state thedistances of the points fromthe y-axis and x-axis givencoordinates of the pointsiv State the coordinates ofpoints on Cartesian plane

b) bisector of an angleEmphasise the use ofthe bisector of anangle to constructangles of 301048696 451048696 and151048696 and etcMeasure angles usingprotractors1048696 Explore situation w hen twodifferent triangles can beconstructed

i Identify the x-axis y-axis andthe origin on a Cartesianplaneii Plot points and state thecoordinates of the pointsgiven distances from they-axis and x-axisiii Plot points and state thedistances of the points fromthe y-axis and x-axis givencoordinates of the pointsiv State the coordinates ofpoints on Cartesian plane

B1B2B3

HOTS UNDERSTANDIN

G

APPLYING

18-20(95-275)

CUTI WESAK

(215)

PEPERIKSAAN PERTENGAHAN TAHUNJAMUAN HARI GURU

(285)

CUTI PERTENGAHAN TAHUN(305-116)

HARI KEPUTERAAN YANG DI- PERTUAN AGONG(46)

21 -22(136-246)

HARI NUZUL QURAN

(226)

82 Understand anduse the conceptof scales for thecoordinate axes

i Mark the values on both axes by extending the sequence ofgiven values on the axesii State the scales used in given coordinate axes wherea) scales for axes are thesameb) scales for axes aredifferentiii Mark the values on both axes with reference to the scales given

1048696 Use dynamic geometry softwareto explore and investigate theconcept scales1048696 Explore the effects of shapes ofobjects by using different scales1048696 Explore positions of places ontopography maps1048696 Pose and solve problemsinvolving coordinates of verticesof shapes such asName the shape formed byA(1 5) B(2 5) C(4 3) andD(3 3)Three of the four vertices of a

B3

HOTS

REMEMBERING

UNDERSTANDIN

G

83 Understand anduse the concept ofdistance betweentwo points on aCartesian plane

84 Understand anduse the concept ofmidpoints

91 Understand theconcept of two dimensional loci

iv State the coordinates of agiven point with reference tothe scales givenv Plot points given thecoordinates with reference to the scales givenvi Pose and solve problemsinvolving coordinates

i Find the distance betweentwo points witha) common y-coordinatesb) common x-coordinatesii Find the distance betweentwo points using Pythagorasrsquotheoremiii Pose and solve problemsinvolving distance between two points

i Identify the midpoint of astraight line joining two pointsii Find the coordinates of themidpoint of a straight linejoining two points witha) common y-coordinatesb) common x-coordinatesiii Find the coordinates of the midpoint of the line joining two pointsiv Pose and solve problemsinvolving midpoints

i Describe and sketch the locus of a moving objectii Determine the locus of points that are ofa) constant distance from afixed pointb) equidistant from twofixed pointsc) constant distance from astraight lined) equidistant from twointersecting linesiii Construct the locus of a set ofall points that satisfies theconditiona) the point is at a constant

square are (10486961 1) (2 5) and(6 2) State the coordinates ofthe fourth vertex

1048696 Discuss different methods offinding distance between twopoints such asa) inspectionb) moving one point to the otherc) computing the differencebetween the x-coordinates ory-coordinates1048696 Students draw the appropriateright-angled triangle using thedistance between the two points as the hypotenuse

1048696 Introduce the concept ofmidpoints through activities suchas folding constructing draw ingand counting1048696 Use dynamic geometry softwareto explore and investigate theconcept of midpoints

1048696 Use everyday examples such asfamiliar routes and simple pathsto introduce the concept of loci1048696 Discuss the locus of a point in agiven diagrameg Describe a locus of a pointequidistant from A and C

APPLYING

B3

B3B4B5B6

HOTSUNDERSTANDIN

G

APPLYING

distance from a fixed pointb) the point is at equidistantfrom two fixed pointsc) the point is at a constantdistance from a straight lined) the point is at equidistantfrom two intersecting lines

B3

23(276 ndash 17)

92 Understand theconcept of theintersection oftwo loci

i Determine the intersections oftwo loci by drawing the lociand locating the points thatsatisfy the conditions of thetwo loci

1048696 Use everyday examples orgames to discuss the intersectionof two loci1048696 Mark the points that satisfy theconditionsa) Equidistant from A and Cb) 3 cm from A

B4B5

24-25(47-157)

HARI RAYA PUASA (67-77)

CUTI PERUNTUKK

AN OLEH KPM

(4587)

101 Recognise anddraw parts of acircle

102 Understand and use the conceptof circumferenceto solve problems

103 Understand and use the conceptof arc of a circleto solve problems

i Identify circle as a set ofpoints equidistant from a fixed pointii Identify parts of a circlea) centerb) circumferencec) radiusd) diametere) chordf) arcg) sectorh) segmentiii Draw a) a circle given the radiusand centreb) a circle given thediameterc) a diameter passingthrough a specific pointin a circle given the centred) a chord of a given lengthpassing through a pointon the circumferencee) sector given the size ofthe angle at the centreand radius of the circleiv Determine thea) centerb) radiusof a given circle byconstruction

i Estimate the value of 1048696ii Derive the formula of thecircumference of a circleiii Find the circumference of a circle given itsa) diameterb) radiusiv Find thea) diameterb) radiusgiven the circumference of acircle

1048696 Introduce the concept of circle asa locus1048696 Use dynamic geometry softwareto explore parts of a circle

1048696 Measure diameter andcircumference of circular objects1048696 Explore the history of 10486961048696 Explore the value of 1048696 usingdynamic geometry software

B1B2B3

HOTS

REMEMBERING

UNDERSTANDIN

G

APPLYING

B3

v Solve problems involving circumference of circles

26(187 ndash 227)

104 Understand and use the concept of area of a circle tosolve problems

105 Understand and use the conceptof area of sectorof a circle to solveproblems

i Derive the formula of the area of a circleii Find the area of a circle given thea) radiusb) diameteriii Finda) radiusb) diametergiven the area of a circleiv Find the area of a circle given the circumference and vice versav Solve problems involving area of circlesi Derive the formula of the area of a sectorii Find the area of a sectorgiven the radius and angle atthe centreiii Find the angle at the centre given the radius and area of a sectoriv Find the radius given the area of a sector and the angle at the centrev Solve problems involving area of sectors and area of circles

1048696 Explore the relationship betweenthe radius and the area of a circlea) using dynamic geometrysoftwareb) through activities such ascutting the circle into equalsectors and rearranging theminto rectangular form

1048696 Explore the relationship betweenthe area of a sector and the angleat the centre of the circle usingdynamic geometry software

B3B4B5B6

27 ndash 28(257 -58)

MGGU SAINS amp MATH

SEMAKAN BUKU

LATIHAN

111 Understand theconcept oftransformations

112 Understand and use the conceptof translations

i Identify a transformation as a one-to-one correspondencebetween points in a planeii Identify the object and itsimage in a given transformation

i Identify a translationii Determine the image of anobject under a giventranslationiii Describe a translationa) by stating the directionand distance of themovementb) in the formbaiv Determine the properties of translationv Determine the

1048696 Explore concepts intransformational geometry usingconcrete materials drawingsgeo-boards and dynamicgeometry software

1048696 Explore translations given in theformba1048696 Investigate the shapes andsizes lengths and angles of theimages and the objects

B1B2B3

HOTS

UNDERSTANDIN

G

APPLYING

113 Understand and use the conceptof reflections

114 Understand and use the conceptof rotations

coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a translationvi Solve problems involvingtranslations

i Identify a reflectionii Determine the image of anobject under a reflection on a given lineiii Determine the properties of reflectionsiv Determinea) the image of an objectgiven the axis ofreflectionb) the axis of reflection giventhe object and its imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a reflectionvi Describe a reflection given the object and imagevii Solve problems involving reflections

i Identify a rotationii Determine the image of anobject under a rotation giventhe centre the angle anddirection of rotationiii Determine the properties of rotationsiv Determinea) image of an object giventhe centre angle anddirection of rotationb) the centre angle anddirection of rotation giventhe object and the imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the object

1048696 Explore the image of an objectunder a reflection by drawingusing tracing paper or paperfolding1048696 Investigate the shapes andsizes lengths and angles of theimages and objects

1048696 Explore the image of an objectunder a rotation by drawing andusing tracing paper

B3

B3

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

83 Understand anduse the concept ofdistance betweentwo points on aCartesian plane

84 Understand anduse the concept ofmidpoints

91 Understand theconcept of two dimensional loci

iv State the coordinates of agiven point with reference tothe scales givenv Plot points given thecoordinates with reference to the scales givenvi Pose and solve problemsinvolving coordinates

i Find the distance betweentwo points witha) common y-coordinatesb) common x-coordinatesii Find the distance betweentwo points using Pythagorasrsquotheoremiii Pose and solve problemsinvolving distance between two points

i Identify the midpoint of astraight line joining two pointsii Find the coordinates of themidpoint of a straight linejoining two points witha) common y-coordinatesb) common x-coordinatesiii Find the coordinates of the midpoint of the line joining two pointsiv Pose and solve problemsinvolving midpoints

i Describe and sketch the locus of a moving objectii Determine the locus of points that are ofa) constant distance from afixed pointb) equidistant from twofixed pointsc) constant distance from astraight lined) equidistant from twointersecting linesiii Construct the locus of a set ofall points that satisfies theconditiona) the point is at a constant

square are (10486961 1) (2 5) and(6 2) State the coordinates ofthe fourth vertex

1048696 Discuss different methods offinding distance between twopoints such asa) inspectionb) moving one point to the otherc) computing the differencebetween the x-coordinates ory-coordinates1048696 Students draw the appropriateright-angled triangle using thedistance between the two points as the hypotenuse

1048696 Introduce the concept ofmidpoints through activities suchas folding constructing draw ingand counting1048696 Use dynamic geometry softwareto explore and investigate theconcept of midpoints

1048696 Use everyday examples such asfamiliar routes and simple pathsto introduce the concept of loci1048696 Discuss the locus of a point in agiven diagrameg Describe a locus of a pointequidistant from A and C

APPLYING

B3

B3B4B5B6

HOTSUNDERSTANDIN

G

APPLYING

distance from a fixed pointb) the point is at equidistantfrom two fixed pointsc) the point is at a constantdistance from a straight lined) the point is at equidistantfrom two intersecting lines

B3

23(276 ndash 17)

92 Understand theconcept of theintersection oftwo loci

i Determine the intersections oftwo loci by drawing the lociand locating the points thatsatisfy the conditions of thetwo loci

1048696 Use everyday examples orgames to discuss the intersectionof two loci1048696 Mark the points that satisfy theconditionsa) Equidistant from A and Cb) 3 cm from A

B4B5

24-25(47-157)

HARI RAYA PUASA (67-77)

CUTI PERUNTUKK

AN OLEH KPM

(4587)

101 Recognise anddraw parts of acircle

102 Understand and use the conceptof circumferenceto solve problems

103 Understand and use the conceptof arc of a circleto solve problems

i Identify circle as a set ofpoints equidistant from a fixed pointii Identify parts of a circlea) centerb) circumferencec) radiusd) diametere) chordf) arcg) sectorh) segmentiii Draw a) a circle given the radiusand centreb) a circle given thediameterc) a diameter passingthrough a specific pointin a circle given the centred) a chord of a given lengthpassing through a pointon the circumferencee) sector given the size ofthe angle at the centreand radius of the circleiv Determine thea) centerb) radiusof a given circle byconstruction

i Estimate the value of 1048696ii Derive the formula of thecircumference of a circleiii Find the circumference of a circle given itsa) diameterb) radiusiv Find thea) diameterb) radiusgiven the circumference of acircle

1048696 Introduce the concept of circle asa locus1048696 Use dynamic geometry softwareto explore parts of a circle

1048696 Measure diameter andcircumference of circular objects1048696 Explore the history of 10486961048696 Explore the value of 1048696 usingdynamic geometry software

B1B2B3

HOTS

REMEMBERING

UNDERSTANDIN

G

APPLYING

B3

v Solve problems involving circumference of circles

26(187 ndash 227)

104 Understand and use the concept of area of a circle tosolve problems

105 Understand and use the conceptof area of sectorof a circle to solveproblems

i Derive the formula of the area of a circleii Find the area of a circle given thea) radiusb) diameteriii Finda) radiusb) diametergiven the area of a circleiv Find the area of a circle given the circumference and vice versav Solve problems involving area of circlesi Derive the formula of the area of a sectorii Find the area of a sectorgiven the radius and angle atthe centreiii Find the angle at the centre given the radius and area of a sectoriv Find the radius given the area of a sector and the angle at the centrev Solve problems involving area of sectors and area of circles

1048696 Explore the relationship betweenthe radius and the area of a circlea) using dynamic geometrysoftwareb) through activities such ascutting the circle into equalsectors and rearranging theminto rectangular form

1048696 Explore the relationship betweenthe area of a sector and the angleat the centre of the circle usingdynamic geometry software

B3B4B5B6

27 ndash 28(257 -58)

MGGU SAINS amp MATH

SEMAKAN BUKU

LATIHAN

111 Understand theconcept oftransformations

112 Understand and use the conceptof translations

i Identify a transformation as a one-to-one correspondencebetween points in a planeii Identify the object and itsimage in a given transformation

i Identify a translationii Determine the image of anobject under a giventranslationiii Describe a translationa) by stating the directionand distance of themovementb) in the formbaiv Determine the properties of translationv Determine the

1048696 Explore concepts intransformational geometry usingconcrete materials drawingsgeo-boards and dynamicgeometry software

1048696 Explore translations given in theformba1048696 Investigate the shapes andsizes lengths and angles of theimages and the objects

B1B2B3

HOTS

UNDERSTANDIN

G

APPLYING

113 Understand and use the conceptof reflections

114 Understand and use the conceptof rotations

coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a translationvi Solve problems involvingtranslations

i Identify a reflectionii Determine the image of anobject under a reflection on a given lineiii Determine the properties of reflectionsiv Determinea) the image of an objectgiven the axis ofreflectionb) the axis of reflection giventhe object and its imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a reflectionvi Describe a reflection given the object and imagevii Solve problems involving reflections

i Identify a rotationii Determine the image of anobject under a rotation giventhe centre the angle anddirection of rotationiii Determine the properties of rotationsiv Determinea) image of an object giventhe centre angle anddirection of rotationb) the centre angle anddirection of rotation giventhe object and the imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the object

1048696 Explore the image of an objectunder a reflection by drawingusing tracing paper or paperfolding1048696 Investigate the shapes andsizes lengths and angles of theimages and objects

1048696 Explore the image of an objectunder a rotation by drawing andusing tracing paper

B3

B3

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

distance from a fixed pointb) the point is at equidistantfrom two fixed pointsc) the point is at a constantdistance from a straight lined) the point is at equidistantfrom two intersecting lines

B3

23(276 ndash 17)

92 Understand theconcept of theintersection oftwo loci

i Determine the intersections oftwo loci by drawing the lociand locating the points thatsatisfy the conditions of thetwo loci

1048696 Use everyday examples orgames to discuss the intersectionof two loci1048696 Mark the points that satisfy theconditionsa) Equidistant from A and Cb) 3 cm from A

B4B5

24-25(47-157)

HARI RAYA PUASA (67-77)

CUTI PERUNTUKK

AN OLEH KPM

(4587)

101 Recognise anddraw parts of acircle

102 Understand and use the conceptof circumferenceto solve problems

103 Understand and use the conceptof arc of a circleto solve problems

i Identify circle as a set ofpoints equidistant from a fixed pointii Identify parts of a circlea) centerb) circumferencec) radiusd) diametere) chordf) arcg) sectorh) segmentiii Draw a) a circle given the radiusand centreb) a circle given thediameterc) a diameter passingthrough a specific pointin a circle given the centred) a chord of a given lengthpassing through a pointon the circumferencee) sector given the size ofthe angle at the centreand radius of the circleiv Determine thea) centerb) radiusof a given circle byconstruction

i Estimate the value of 1048696ii Derive the formula of thecircumference of a circleiii Find the circumference of a circle given itsa) diameterb) radiusiv Find thea) diameterb) radiusgiven the circumference of acircle

1048696 Introduce the concept of circle asa locus1048696 Use dynamic geometry softwareto explore parts of a circle

1048696 Measure diameter andcircumference of circular objects1048696 Explore the history of 10486961048696 Explore the value of 1048696 usingdynamic geometry software

B1B2B3

HOTS

REMEMBERING

UNDERSTANDIN

G

APPLYING

B3

v Solve problems involving circumference of circles

26(187 ndash 227)

104 Understand and use the concept of area of a circle tosolve problems

105 Understand and use the conceptof area of sectorof a circle to solveproblems

i Derive the formula of the area of a circleii Find the area of a circle given thea) radiusb) diameteriii Finda) radiusb) diametergiven the area of a circleiv Find the area of a circle given the circumference and vice versav Solve problems involving area of circlesi Derive the formula of the area of a sectorii Find the area of a sectorgiven the radius and angle atthe centreiii Find the angle at the centre given the radius and area of a sectoriv Find the radius given the area of a sector and the angle at the centrev Solve problems involving area of sectors and area of circles

1048696 Explore the relationship betweenthe radius and the area of a circlea) using dynamic geometrysoftwareb) through activities such ascutting the circle into equalsectors and rearranging theminto rectangular form

1048696 Explore the relationship betweenthe area of a sector and the angleat the centre of the circle usingdynamic geometry software

B3B4B5B6

27 ndash 28(257 -58)

MGGU SAINS amp MATH

SEMAKAN BUKU

LATIHAN

111 Understand theconcept oftransformations

112 Understand and use the conceptof translations

i Identify a transformation as a one-to-one correspondencebetween points in a planeii Identify the object and itsimage in a given transformation

i Identify a translationii Determine the image of anobject under a giventranslationiii Describe a translationa) by stating the directionand distance of themovementb) in the formbaiv Determine the properties of translationv Determine the

1048696 Explore concepts intransformational geometry usingconcrete materials drawingsgeo-boards and dynamicgeometry software

1048696 Explore translations given in theformba1048696 Investigate the shapes andsizes lengths and angles of theimages and the objects

B1B2B3

HOTS

UNDERSTANDIN

G

APPLYING

113 Understand and use the conceptof reflections

114 Understand and use the conceptof rotations

coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a translationvi Solve problems involvingtranslations

i Identify a reflectionii Determine the image of anobject under a reflection on a given lineiii Determine the properties of reflectionsiv Determinea) the image of an objectgiven the axis ofreflectionb) the axis of reflection giventhe object and its imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a reflectionvi Describe a reflection given the object and imagevii Solve problems involving reflections

i Identify a rotationii Determine the image of anobject under a rotation giventhe centre the angle anddirection of rotationiii Determine the properties of rotationsiv Determinea) image of an object giventhe centre angle anddirection of rotationb) the centre angle anddirection of rotation giventhe object and the imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the object

1048696 Explore the image of an objectunder a reflection by drawingusing tracing paper or paperfolding1048696 Investigate the shapes andsizes lengths and angles of theimages and objects

1048696 Explore the image of an objectunder a rotation by drawing andusing tracing paper

B3

B3

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

v Solve problems involving circumference of circles

26(187 ndash 227)

104 Understand and use the concept of area of a circle tosolve problems

105 Understand and use the conceptof area of sectorof a circle to solveproblems

i Derive the formula of the area of a circleii Find the area of a circle given thea) radiusb) diameteriii Finda) radiusb) diametergiven the area of a circleiv Find the area of a circle given the circumference and vice versav Solve problems involving area of circlesi Derive the formula of the area of a sectorii Find the area of a sectorgiven the radius and angle atthe centreiii Find the angle at the centre given the radius and area of a sectoriv Find the radius given the area of a sector and the angle at the centrev Solve problems involving area of sectors and area of circles

1048696 Explore the relationship betweenthe radius and the area of a circlea) using dynamic geometrysoftwareb) through activities such ascutting the circle into equalsectors and rearranging theminto rectangular form

1048696 Explore the relationship betweenthe area of a sector and the angleat the centre of the circle usingdynamic geometry software

B3B4B5B6

27 ndash 28(257 -58)

MGGU SAINS amp MATH

SEMAKAN BUKU

LATIHAN

111 Understand theconcept oftransformations

112 Understand and use the conceptof translations

i Identify a transformation as a one-to-one correspondencebetween points in a planeii Identify the object and itsimage in a given transformation

i Identify a translationii Determine the image of anobject under a giventranslationiii Describe a translationa) by stating the directionand distance of themovementb) in the formbaiv Determine the properties of translationv Determine the

1048696 Explore concepts intransformational geometry usingconcrete materials drawingsgeo-boards and dynamicgeometry software

1048696 Explore translations given in theformba1048696 Investigate the shapes andsizes lengths and angles of theimages and the objects

B1B2B3

HOTS

UNDERSTANDIN

G

APPLYING

113 Understand and use the conceptof reflections

114 Understand and use the conceptof rotations

coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a translationvi Solve problems involvingtranslations

i Identify a reflectionii Determine the image of anobject under a reflection on a given lineiii Determine the properties of reflectionsiv Determinea) the image of an objectgiven the axis ofreflectionb) the axis of reflection giventhe object and its imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a reflectionvi Describe a reflection given the object and imagevii Solve problems involving reflections

i Identify a rotationii Determine the image of anobject under a rotation giventhe centre the angle anddirection of rotationiii Determine the properties of rotationsiv Determinea) image of an object giventhe centre angle anddirection of rotationb) the centre angle anddirection of rotation giventhe object and the imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the object

1048696 Explore the image of an objectunder a reflection by drawingusing tracing paper or paperfolding1048696 Investigate the shapes andsizes lengths and angles of theimages and objects

1048696 Explore the image of an objectunder a rotation by drawing andusing tracing paper

B3

B3

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

113 Understand and use the conceptof reflections

114 Understand and use the conceptof rotations

coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a translationvi Solve problems involvingtranslations

i Identify a reflectionii Determine the image of anobject under a reflection on a given lineiii Determine the properties of reflectionsiv Determinea) the image of an objectgiven the axis ofreflectionb) the axis of reflection giventhe object and its imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the objectb) the object given thecoordinates of the imageunder a reflectionvi Describe a reflection given the object and imagevii Solve problems involving reflections

i Identify a rotationii Determine the image of anobject under a rotation giventhe centre the angle anddirection of rotationiii Determine the properties of rotationsiv Determinea) image of an object giventhe centre angle anddirection of rotationb) the centre angle anddirection of rotation giventhe object and the imageusing the method ofconstructionv Determine the coordinates ofa) the image given thecoordinates of the object

1048696 Explore the image of an objectunder a reflection by drawingusing tracing paper or paperfolding1048696 Investigate the shapes andsizes lengths and angles of theimages and objects

1048696 Explore the image of an objectunder a rotation by drawing andusing tracing paper

B3

B3

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

b) the object given thecoordinates of the image under a rotationvi Describe a rotation given the object and imagevii Solve problems involving rotations

29(87 -128)

LDP 3(133)

115 Understand and use the conceptof isometry

116 Understand and use the conceptof congruence

117 Understand and use the propertiesof quadrilateralsusing concept oftransformations

i Identify an isometryii Determine whether a given transformation is an isometryiii Construct patterns using isometry

i Identify if two figures arecongruentii Identify congruency betweentwo figures as a property ofan isometryiii Solve problems involvingcongruence

i Determine the properties of quadrilaterals usingreflections and rotations

1048696 Use tracing papers to exploreisometry

1048696 Explore congruency undertranslations reflections androtations

1048696 Explore the properties of variousquadrilaterals by comparing thesides angles and diagonals

B3B2

30 (158-198)

SAMBUTAN BULAN

PATRIOTISME

121 Understandgeometricproperties ofprisms pyramidscylinders conesand spheres

122 Understand theconcept of nets

123 Understand theconcept ofsurface area

i State the geometric properties of prisms pyramids cylinders cones and spheres

i Draw nets for prismspyramids cylinders and conesii State the types of solids given their netsiii Construct models of solids given their nets

i State the surface areas ofprisms pyramids cylindersand conesii Find the surface area ofprisms pyramids cylindersand conesiii Find the surface area ofspheres using the standardformulaiv Find dimensionsa) length of sidesb) heightc) slant heightd) radius

1048696 Explore and investigateproperties of geometric solidsusing concrete models

1048696 Explore the similarities anddifferences between nets ofprisms pyramids cylinders andcones using concrete models

1048696 Explore and derive the formulaeof the surface areas of prismspyramids cylinders and cones

B2

B2B3B4

HOTSREMEMBERING

UNDERSTANDIN

G

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

e) diameterof a solid given its surface area and other relevant informationv Solve problems involving surface areas

APPLYING

CLASSIFYING

31-33(228-99)

HARI KEBANGSA

AN(318)

HARI RAYA HAJI(129)

HARI MALAYSIA

(169)

131 Understand theconcept of data

132 Understand theconcept offrequency

133 Represent andinterpret data ini pictogramsii bar chartsiii line graphsto solve

problems

i Classify data according to those that can be collected bya) countingb) measuringii Collect and record datasystematically

i Determine the frequency of dataii Determine the data witha) the highest frequencyb) the lowest frequencyc) frequency of a specific valueiii Organise data by constructinga) tally chartsb) frequency tablesiv Obtain information from frequency tables

i Construct pictograms torepresent dataii Obtain information frompictogramsiii Solve problems involvingpictogramsiv Construct bar charts torepresent datav Obtain information from bar chartsvi Solve problems involving bar chartsvii Represent data using linegraphsviii Obtain information from line graphsix Solve problems involving line graphs

1048696 Carry out activities to introducethe concept of data as acollection of information or facts1048696 Discuss methods of collectingdata such as countingobservations measuring usingquestionnaires and interview s

1048696 Use activities to introduce theconcept of frequency

1048696 Use everyday situations tointroduce pictograms bar chartsand line graphs

B2B3

B4B5B6

HOTS

UNDERSTANDIN

G

APPLYING

ANALYSIS

CUTI PERTENGAHAN PENGGAL 2(109-189)

34(199-239)

ULANGKAJI

35-37(269-1410) PEPERIKSAAN AKHIR TAHUN

AWAL MUHARRAM (210)CUTI GANTI AWAL MUHARRAM (310)

38-43 (211-2511) PEPERIKSAAN SPM

39 CUTI DEEPAVALI

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)

(2910)CUTI YANG DIPERUNTUKKAN OLEH KPM

(2831110)

CUTI AKHIR TAHUN(2811-3112)