Yearly Plan Math f3 2012
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Transcript of Yearly Plan Math f3 2012
YEARLY LESSON PLAN 2012 SEKOLAH
: SMK AYER HANGAT
TINGKATAN : 3
MATA PELAJARAN : MATEMATICS
Date/ WeekLearning AreaLearning ObjectivesLearning Outcomes
2/1 6/1 (WEEK 1)
1 .LINES AND ANGLES (II)
Students will be taught to :
Identify properties of angles associated with transversals and parallel lines..
Identify properties of angles associate with parallel lines.
Find the value of an angle in associated with parallel lines.
Identify parallel lines, based on the properties of angles associated with transversals.
Solving problems involving angles associated with transversal.Students will be able to :
i. Associate transversal and parallel lines with
Corresponding angles
Alternate angles
Interior angles
ii. Associate properties of angles-
Corresponding angles are equal.
Alternate angles are equal
The interior angles on the same side of transversal are supplementary.
The sum of interior angles is 180
i. find unknown angles.
Determine if two given lines are paralleled.
9/1 20/1(WEEK 2 & 3)4. STATISTICS (II)
Students will be taught :
Pie Chart
Mode , Median and Mean
Students are able to:
i. Construct a pie chart
ii. Obtain and interpret information from Pie Charts.
iii. Solving problems involving Pie Charts.
iv. Determine suitable representation of data.
i. determine the mode for a set of data
ii. determine the mode and its corresponding frequency from Pictograms, Bar Charts, Line Graphs And Pie Charts.
iii. Determine the Median for a Set of Data.
iv. Determine the Median For data in a frequency table.
v. Calculate the Mean for a set of data
vi. Solving problems Involving Mode, Median and Mean.
16/1/2011 Cuti Hari Keputeraan KDYMM Tuanku Sultan
24/1 27/1(WEEK 4)13. GRAPHS OF FUNCTIONS
Students will be taught to derive :
Functions
Graphs of FunctionsStudents will be able to :
i. relationship between two variables
ii. dependent variable and independent variable
iii. calculating the value of a dependent variable
i. constructing a table of values
ii. drawing a graph of functions
iii. determining the values of variables from a graph
iv. solving problems involving graphs of functions
30/1 2/2(WEEK 5)9. SCALLE DRAWINGS
Students will be taught to recognize :
Scale drawings
Students will be able to :
i. Sketching shapes
ii. Drawing geometric shapes according to scale 1 : n
iii. Drawing composite shapes according to scales.
iv. Drawing composite shapes according to given scales on grids of different sizes.
v. Redrawing shapes on grids of different sizes
vi. Solving problems involving scales drawings
3/2 4/2Cuti Tahun Baru Cina
6/2 10/2(WEEK 6)7.ALGEBRAIC FORMULA
Students will be taught to recognize :
Variables And Constants
Formula
Students will be able to:
i. Determine if a Quantity is a Variable or Constant.
ii. Determining And Representing A Variable
iii. Determining the possible values of a variable.
i. Writing a formula based on statements and situations
ii. Identifying The Subject Of A Given Formula
13/2 17/2(WEEK 7)
14. RATIOS, RATES AND PROPORTIONS (II)
Students will be taught to
rate
speed
average speed
Students will be able to :
i. determining rate and the two qualities involved
ii. calculating rates
iii. calculating certain qualities
iv. changing units for rates
i. two qualities for speed
ii. calculating and interpreting speed
i. calculating the average speed
ii. calculating the distance and the time for average speed
20/2 3/3(WEEK 8 & 9)11. LINEAR EQUATIONS (II)
Students will be taught to:
Linear equations in two variables
Simultaneous linear equations in two variables.
Students will able to :
i. Identifying linear equations in two variables
ii. Deriving a linear equation in two variables
iii. Determining the value of a variable
iv. Determining a possible solutions for a linear equation in two variables
i. identifying simultaneous linear equations
ii. solving simultaneous linear equations in two variables
solving problems involving simultaneous linear equations in two variables.
6/3 10/3(WEEK 10)12. LINEAR INEQUALITIES
Students will be taught to :
write inequalities
Linear inequalities in one unknown
Students will be able to :
i. relationship of the greater than and less than
ii. expressing the relationship between two number
iii. the relationship of Greater than or equal to and Less than or equal to
i. identifying linear inequalities
6/3 8/3Ujian Selaras 1
11/3 19/3Cuti pertengahan penggal pertama
20/3 24/3
( WEEK 11)Students will be taught to identify:
simultaneous linear inequalities in one variable.
Students will be able to :
i. representing the common values of two linear inequalities on a number line.
ii. Determining the equivalent inequalities for two linear inequalities
iii. Solving two simultaneous linear inequalities
27/3 31/3(WEEK 12)10. TRANSFORMATIONS (II)
Students will be taught to :
Similarity of shapes
Enlargement
Students will be able to :
i. Writing similarity of shapes
ii. Calculating the length of unknown sides of two similar shapes.
i. identifying an enlargement
ii. finding the scale factor
iii. determining the centre of enlargement
iv. determining the properties of enlargement
v. calculating the scale factor and length of the sides of an image or object.
vi. Determining the relationship between the area of the image and its object
vii. Calculating the area of an image or object and scale factor
viii. Solving problems involving enlargement
3/4 7/4(WEEK 13)15. TRIGONOMETRY
Students will be taught to
tangent of an acute angle in a right-angled triangle
sine of an acute angle in a right-angled triangle
cosine of an acute angle in a right- angled triangle
Students will be able to :
i. identifying the hypotenuse, opposite side and adjacent side
ii. determining the tangent of an angle
iii. calculating the tangent of an angle
iv. calculating the length of sides of a triangle
i. determining the sine of an angle
ii. calculating the side of an angle
iii. calculating the length of sides of a triangle
i. determining cosine of an angle
ii. calculating the cosine of an angle
iii. calculating the length of sides of a triangle
10/4 21/4(WEEK 14 & 15)6. ALGEBRAIC EXPRESSION (III)
Students will be taught
Expanding Brackets
Addition and Subtraction Of Algebraic Fractions.
Multiplication and Division Of Algebraic FractionsStudents will be able to:
i. Expanding single brackets
ii. Expanding two brackets
i. Adding or Subtracting Two Algebraic Fractions With similar denominators.
ii. Adding or Subtracting Two Algebraic Fractions With different Denominators.
i. Multiplying Algebraic Fractions
ii. Dividing of Algebraic Fractions
24/4 5/5(WEEK 16 & 17)2. Polygons II
Students will be taught to :
Determine Regular Polygons.
Determine the axes of symmetry in a polygon.
Sketching / Drawing Regular Polygons.
Constructing an equilateral triangle. Square and a regular hexagon.
Identify interior angles and exterior angles of a polygon
Students will be able to :
i. Determine regular polygons having equal sides and all interior angles are equal.
ii. Determine all regular polygons having number of axes of symmetry.
iii. Determine regular polygons having equal number of sides.
i. Construct a polygon.
ii. Determine whether polygons are regular or irregular.
i. determine the exterior angle and interior angle of a polygon are supplementary .
Students will be taught to :
Determine the sum of the exterior angle of a polygon.
Determine the size of the interior angle, exterior angle and the number of sides of a regular polygon.
Students will be able to :
i. find the sum of the exterior angles of a polygon.
i. find the interior angle and exterior angle of a regular polygon when number of sides of polygon is given.
ii. calculate the interior angle of a regular polygon with n sides
Interior angle = (n-2) X 180
n
iii. Find the exterior angle of a regular polygon
Exterior angle = 360 Number of sides
= 360 n
= sum of interior angles
number of sides
Students will be taught to :
Solve problems involving angles and sides of a polygon.Students will be able to :
iv. calculate the number of sides of a regular polygon when the interior angles are given.
n = 360 exterior angle
n = 360 180 - interior angle
8/5 19/5(WEEK 18 & 19)3. Circles (II)
Students will be taught to identify :
properties of circles involving symmetry , chords and arcs
properties of angles in a circle
Students will be able to determine :
i. the diameter of a circle as an axis of symmetry.
the properties of chords.
ii. Solve problems involving symmetry, chords and arc of circles
i. angles subtended by an arc.
ii. angles substended at the circumference by the same arc.
iii. angles subtended at the circumference of the centre by arcs of the same length.
iv. Relationship between angle at the centre and angle at the circumference which are subtended by the same arc.
v. The size of an angle subtended at the circumference in a semicircle.
vi. Solving problems involving subtended angles at the centre and circumference.
Students will be taught to determine :
Cyclic Quadrilaterals
Students will be able to identify :
Cyclic quadrilaterals
The Interior opposite angles of cyclic quadrilaterals
The relationship between interior opposite angles of a cyclic quadrilateral
The exterior angle and its corresponding interior opposite angle of a cyclic quadrilateral
The relationship between the exterior angles and their corresponding interior opposite angles of a cyclic quad
Solving problems involving circles
22/5 26/5(WEEK 20)5. INDICES
Students will be taught
Indices
Simplification of numbers in Index Notation
Division Of Numbers In Indices Form
Students will be able to
i. express repeated multiplication as a and vice versa.
ii. express numbers in index notation
i. verify a X a = a
ii. simplify multiplication of Numbers Or Algebraic Terms In Index Notation With the Same Base.3 X 3 = (3 X 3 ) X(3 X 3 X 3 )= 3
iii. simplify Multiplication Of Numbers Or Algebraic Terms Expressed In Index Notation With Different Bases.
i. simplify the division of Numbers Or Algebraic Terms Expressed In Index Notation With The same Base.
22/5 24/5Peperiksaan Pertengahan Tahun 2011
27/5 11/6Cuti pertengahan tahun
12/6 16/6
(WEEK 21)Students will be taught
Index Expressions Raised To A Power
Negative Integer Indices
Students will be able to :
i. Derive .
ii. Simplify numbers or algebraic terms expressed in index notation raised to a power.
iii. Simplify multiplication and division of numbers and algebraic terms expressed in index notation raised to a power
iv. Perform combined operations involving numbers and algebraic terms
i. verifying a =
ii. stating a as and vice versa
iii. Compute combined operation on numbers and Algebraic Terms With Negative indices.
Students will be taught:
Fractional Indices
Calculation that involves Law Of Indices.Students will be able to
i. verifying a =
stating a as and vice versa
ii. finding the value of a
iii. stating a
iv. Performing combined operations on numbers and algebraic terms involving fractional indices.
i. calculations that involves combined operations for several numbers in index notation.
ii. Calculation that involves combined operations for index expressions with positive, negative and fractional indices.
19/6 23/6(WEEK 22 )8. SOLID GEOMETRY (III)
Students will be taught to find:
the volume of right circular cylinders and right prisms
the volume of right pyramids and right circular cones
Students will be able to :
i. derive the formula for volume of right circular cylinders and prisms.
ii. Calculate the volume of a right cylinder
iii. Calculating the height of a right cylinder
iv. Calculate the radius of the base of a right cylinder.
v. Calculate the volume of a right prism.
vi. Calculate the height of a right prism
vii. Calculate the base area of a right prism
viii. Changing units for volume
ix. Solving problems involving volume of right cylinders and right prisms.
i. derive the formula for the volume of pyramids and cones.
ii. Calculating the volume of a right pyramid
29/6/2011Cuti Israk dan Mikraj
26/6 -REVISION WEEK
Peperiksaan Percubaan PMR
26/8 3/9Cuti Pertengahan Penggal Kedua
REVISION WEEK
4/10 12/10Peperiksaan Penilaian Menengah Rendah Tahun 2011
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