Web viewSolving Equations using: ... verbally/ flow diagrams/ tables/ formulae/ equations/graphs....

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MATHEMATICS GRADE 9 : ANNUAL TEACHING PLAN

TERM 1TEACHING PLANNING FOR TERM 1

Week 121-23 Jan

Week 226-30 Jan

Week 32-6 Feb

Week 49-13 Feb

Week 516-20 Feb

Week 623-27 Feb

Week 72- 6 Mar

Week 89-13 Mar

Week 916-20 Mar

Week 1023-27 Mar

Week 1130 Mar – 1 Apr

Topics

L = Low Priority

M = Med. Priority

H = High Priority

Introductions

Baseline assessment focussing on:- Whole

numbers- Revision of

number types

Whole Numbers [M]

Calculations with whole numbers

Calculation Techniques

LCM & HCF

Rate & Ratio

Integers [H]Calculations

Integers [H]

Properties of integers

Problem solving

Common Fractions [H]Calculations,calculation techniques, Equivalence

Problem Solving

Decimal Fractions [H]

Calculations, Equivalent forms

Exponents [H]- Compare and

represent in: exponential form &

- scientific notation,

Exponent laws,Calculations,Misconceptions,simple equations

Numeric and GeometricPatterns [M]

Investigate & extend numeric & geometric patterns, but not limited to it

Describe the general rule verbally & algebraically Patterns

Functions and relationships- Input/output values,- Equivalent forms

Algebraic Expressions [H]

Algebraic Language:- Expand and simply:- Revision, Substitution- Multiply monomial &

Polynomial,- Divide polynomial by

monomial,- Product of binomial,- Square of binomial

AlgebraicEquations [H]

Solving Equations using:- Inspection,- Additive

inverse,- Multiplicative

Inverse,- Exponentials

and- Word

problems (linear)

Revision Consolidate:Direct & Indirect

proportion, rate and ratio, Financial Math

[M]

SBA Assignment: LCM,HCF, Rate & Ratio, Scientific notation, Exponents & Patterns Controlled Test: All work covered

TERM 2TEACHING PLANNING FOR TERM 2

Week 113-17 Apr

Week 220-24 Apr

Week 327 Apr - 1 May

Week 44-8 May

Week 511-15 May

Week 618-27 May

Week 725-29 May

Week 81-5 June

Week 98-12 June

Week 1015-19 June

Week 1122-26 June

Topics

L = Low Priority

M = Med. Priority

H = High Priority

Constructions [L]

- use of compass; ruler & protractor to construct geometric figures as well as bisecting an angle

-45 ° ;30 °;60 ° without protractor.

Investigate: Exterior angle ∆ Min condition for

congruent ∆ ’s

3 day week

Straight Line Geometry [H]

Angle pairs – consolidation of Gr 8 work

Applications:Intersecting lines; ⊥ lines cut

& ∥ lines cut by transversal.

Emphasis on application of above

Geometry of 2D shapes [H]

- Congruency- Similarity- Quadrilaterals

Theorem of Pythagoras [H]

Area and perimeter [M]

- Polygons; circles - formulae- Influence of doubling of

dimensions perimeter & area

(Polygons can include trapesiums, parallelogram, rhombi & kites)

Revision June exams

1

SBA Investigation: Min Conditions for congruency & similarity Test: Geometry June Exam: Paper 1 & Paper 2

TERM 3TEACHING PLANNING FOR TERM 3

Week 120-24 July

Week 227-31 July

Week 33-7 Aug

Week 410-14 Aug

Week 517-21 Aug

Week 624-28 Aug

Week 731Aug - 4 Sept

Week 87-11 Sept

Week 914-18 Sept

Week 1021-23 Sept

Week 1128 Sept - 2 Oct

Topics

L = Low Priority

M = Med. Priority

H = High Priority

Functions and Relationships [H]

input/ output/equivalence: verbally/ flow diagrams/ tables/ formulae/ equations/graphs

Algebraic expressions [H]

- Revise products- Factorisation: Common factor

(including sign change),- Difference between squares

grouping- Trinomials (x2+bx+c &

a x2+bx+c where a is a common factor)

- Simplify Algebraic Expression involving above factorization

- Simplify Algebraic Fractions using factorization

Algebraic equations [H]

Quadratic equations

(incl. diff of squares, a.b=0),

Substitution in equation to generate tables or ordered pairsProblem Solving

Graphs [H]

Interpreting GraphsRevision, Interpret & Analyse Global Graphs in terms of- Linear or non-linear- Constant, increasing or decreasing- Maximum or minimum- Discrete or continuous

Extend the above with special focus on intercepts, gradient of linear graph

Drawing Graphs- Draw linear graph from equation, and- Determine equation of line

Revision Volume and surface area [M]

Cubes, regular prisms, triangularprisms, cylinders

Investigate how doubling the dimensions of a right prism & cylinder affects the volume.

SBA Assignment: Algebra Test: All work up to Week 8 ANA Project: Volume and surface area

TERM 4TEACHING PLANNING FOR TERM 4

Week 112-16 Oct

Week 219-23 Oct

Week 326-30 Oct

Week 42-6 Nov

Week 59-13 Nov

Week 616-20 Nov

Week 720-27 Nov

Week 830 Nov - 4 Des

Week 97-11 Des

NOTES/ REFLECTIONS

Topics

L = Low Priority

M = Med. Priority

H = High Priority

Data Handling [M]

Collect, organise, summarise: tally chart/ tree diagram/ central tendency/ spread

Representation:bar/ double bar/histogram/ pie charts/broken line/ scatter plots

Analyse, Interpret, Report:compare/ sources of error/ bias/conclusions/predictions/extremes/outliers

Probability [M]

relative frequency,

compound events usingtwo-way tables

&tree diagrams

Geometry of 3D objects [M]

Platonic solids/ Properties: Spheres/ cylinders/

Nets: cubes/prisms/ pyramids/cylinders

Can be done with Investigation

Transformation geometry [L]

Reflections in x-; y-axes; y = x/

Enlargements/reductions: effect on area/perimeter

Can be left out to safe time if

necessary

Final examination Administration

2

SBA Assignment: Data Handling Investigation: Probability or 3D objects

Week 1&221-30 Jan

Whole Numbers[M]

Calculations with whole numbers

Calculation Techniques

LCM & HCF

Rate & Ratio

Direct & Indirect proportion

rate and ratio

Financial Math[M]

3

4

5

ANA’s voorbeelde/ANA’s examples

6

7

8

9

Week 32-6 Feb

Integers [H]

Calculations

Integers [H]

Properties of integers

Problem solving

Common Fractions [H]

Calculations,calculation techniques, Equivalence

Problem Solving

10

11

12

ANA’s voorbeelde/ANA’s examples

13

Vereenvoudig/Simplify

14

15

Week 49-13 Feb

Decimal Fractions [H]

16

Calculations, Equivalent forms

17

Week 516-20 Feb

Exponents [H]- Compare and represent in: exponential form &

- scientific notation,Exponent laws,

Calculations,Misconceptions,simple equations

18

19

20

ANA’s voorbeelde/ANA’s examples

21

22

23

24

Los op vir x/Solve for x

Week 623-27 Feb

Numeric and GeometricPatterns [M]

Investigate & extend numeric & geometric patterns, but not limited to it

Describe the general rule verbally & algebraically Patterns

25

26

27

ANA’s voorbeelde/ANA’s examples

28

29

Week 72- 6 MarWeek 8

9-13 MarFunctions and relationships

- Input/output values,Equivalent forms

Algebraic Expressions [H]

Algebraic Language:- Expand and simply:- Revision, Substitution

- Multiply monomial & Polynomial,- Divide polynomial by monomial,

- Product of binomial,Square of binomial

30

31

32

33

34

ANA’s voorbeelde/ANA’s examples

35

36

37

Week 916-20 MarAlgebraic

Equations [H]

Solving Equations using:- Inspection,

- Additive inverse,-Multiplicative Inverse,- Exponentials and

- Word problems (linear)

38

39

ANA’s voorbeelde/ANA’s examples

40

Week 10

23-27 Mar

41

Week 11

30 Mar – 1 Apr

Revision

42

43

44

45

46

47

Week 113-17 Apr

Constructions [L]- use of compass; ruler & protractor to construct geometric figures as well as bisecting an angle

- 45 ° ;30 °;60 ° without protractor.Investigate:

Exterior angle ∆ Min condition for congruent ∆’s

48

49

50

Week 220-24 AprWeek 3

27 Apr - 1 May3 day week

Straight Line Geometry [H]

Angle pairs – consolidation of Gr 8 work

Applications:Intersecting lines; ⊥ lines cut & ∥ lines cut by transversal.

Emphasis on application of above

51

52

53

ANA’s voorbeelde/ANA’s examples

54

55

56

Week 44-8 MayWeek 5

11-15 MayGeometry of 2D shapes [H]

- Congruency- Similarity

Quadrilaterals

57

58

59

ANA’s voorbeelde/ANA’s examples

60

61

62

63

64

65

66

67

Week 618-27 May

Theorem of Pythagoras [H]

68

69

70

Week 725-29 May

Week 81-5 June

Area and perimeter [M]

- Polygons; circles - formulae- Influence of doubling of dimensions perimeter & area

(Polygons can include trapesiums, parallelogram, rhombi & kites)

71

72

ANA’s voorbeelde/ANA’s examples

73

74

75

76

Week 98-12 JuneRevision

77

78

79

80

81

82

Week 120-24 July

Functions and Relationships [H]

input/ output/equivalence: verbally/ flow diagrams/ tables/ formulae/ equations/graphs

83

84

85

Week 227-31 July

Week 33-7 Aug

Algebraic expressions [H]

- Revise products- Factorisation: Common factor (including sign change),

- Difference between squares grouping- Trinomials (x2+bx+c & a x2+bx+c where a is a common factor)- Simplify Algebraic Expression involving above factorization

Simplify Algebraic Fractions using factorization

86

87

88

89

90

91

92

93

ANA’s voorbeelde/ANA’s examples

Vereenvoudig/Simplify

94

95

Vereenvoudig/Simplify

96

Week 410-14 Aug

Week 517-21 Aug

Algebraic equations [H]

Quadratic equations

(incl. diff of squares, a.b=0),

97

Substitution in equation to generate tables or ordered pairsProblem Solving

98

99

100

101

102

103

104

105

106

107

ANA’s voorbeelde/ANA’s examplesLos op vir x/Solve for x

108

Week 624-28 Aug

Week 731Aug - 4 Sept

Week 87-11 Sept

Graphs [H]

Interpreting GraphsRevision, Interpret & Analyse Global Graphs in terms of

- Linear or non-linear- Constant, increasing or decreasing

- Maximum or minimum- Discrete or continuous

Extend the above with special focus on intercepts, gradient of linear graph

Drawing Graphs- Draw linear graph from equation, and

Determine equation of line

109

110

111

112

113

114

115

116

117

118

119

120

121

ANA’s voorbeelde/ANA’s examples122

123

124

125

126

127

128

129

Week 914-18 SeptRevision

Week 1021-23 SeptWeek 11

28 Sept - 2 OctVolume and surface area [M]

Cubes, regular prisms, triangularprisms, cylinders

Investigate how doubling the dimensions of a right prism & cylinder affects the volume.

130

131

132

133

134

135

136

137

138

139

140

141

Week 112-16 OctWeek 2

19-23 OctData Handling [M]

Collect, organise, summarise:tally chart/ tree diagram/ central tendency/ spread

Representation:bar/ double bar/histogram/ pie charts/

broken line/ scatter plots

Analyse, Interpret, Report:compare/ sources of error/ bias/

conclusions/predictions/extremes/outliers

142

143

144

145

146

147

148

Week 326-30 Oct

Probability [M]

relative frequency,

compound events usingtwo-way tables

&tree diagrams

149

150

151

152

153

154

155

156

.

157

Week 42-6 Nov

Geometry of 3D objects [M]

Platonic solids/ Properties: Spheres/ cylinders/

Nets: cubes/prisms/ pyramids/cylinders

Can be done with Investigation

Week 59-13 Nov

Transformation geometry [L]

Reflections in x-; y-axes; y = x/

Enlargements/reductions: effect on area/perimeter

Can be left out to safe time if necessary

158