Web viewSolving Equations using: ... verbally/ flow diagrams/ tables/ formulae/ equations/graphs....
Transcript of 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
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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
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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]
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ANA’s voorbeelde/ANA’s examples
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Week 32-6 Feb
Integers [H]
Calculations
Integers [H]
Properties of integers
Problem solving
Common Fractions [H]
Calculations,calculation techniques, Equivalence
Problem Solving
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ANA’s voorbeelde/ANA’s examples
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Vereenvoudig/Simplify
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Week 49-13 Feb
Decimal Fractions [H]
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Calculations, Equivalent forms
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Week 516-20 Feb
Exponents [H]- Compare and represent in: exponential form &
- scientific notation,Exponent laws,
Calculations,Misconceptions,simple equations
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ANA’s voorbeelde/ANA’s examples
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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
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ANA’s voorbeelde/ANA’s examples
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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
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ANA’s voorbeelde/ANA’s examples
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Week 916-20 MarAlgebraic
Equations [H]
Solving Equations using:- Inspection,
- Additive inverse,-Multiplicative Inverse,- Exponentials and
- Word problems (linear)
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ANA’s voorbeelde/ANA’s examples
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Week 10
23-27 Mar
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Week 11
30 Mar – 1 Apr
Revision
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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
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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
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ANA’s voorbeelde/ANA’s examples
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Week 44-8 MayWeek 5
11-15 MayGeometry of 2D shapes [H]
- Congruency- Similarity
Quadrilaterals
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ANA’s voorbeelde/ANA’s examples
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Week 618-27 May
Theorem of Pythagoras [H]
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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)
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ANA’s voorbeelde/ANA’s examples
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Week 98-12 JuneRevision
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Week 120-24 July
Functions and Relationships [H]
input/ output/equivalence: verbally/ flow diagrams/ tables/ formulae/ equations/graphs
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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
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ANA’s voorbeelde/ANA’s examples
Vereenvoudig/Simplify
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Vereenvoudig/Simplify
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Week 410-14 Aug
Week 517-21 Aug
Algebraic equations [H]
Quadratic equations
(incl. diff of squares, a.b=0),
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Substitution in equation to generate tables or ordered pairsProblem Solving
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ANA’s voorbeelde/ANA’s examplesLos op vir x/Solve for x
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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
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ANA’s voorbeelde/ANA’s examples122
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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.
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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
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Week 326-30 Oct
Probability [M]
relative frequency,
compound events usingtwo-way tables
&tree diagrams
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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
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