Oxford Maths NSW Curriculum

Scope and Sequence for Years 7–10

Standard, Extension and Advanced Pathways

Year 7

Scope and sequence for Stage 4

Term 1 Week 1 Computation with integers MA4-INT-C-01

Term 1 Week 2 Computation with integers MA4-INT-C-01

Term 1 Week 3 Computation with integers MA4-INT-C-01

Term 1 Week 4 Indices MA4-IND-C-01

Term 1 Week 5 Indices MA4-IND-C-01

Term 1 Week 6 Fractions, decimals and percentages MA4-FRC-C-01

Term 1 Week 7 Fractions, decimals and percentages MA4-FRC-C-01

Term 1 Week 8 Fractions, decimals and percentages MA4-FRC-C-01

Term 1 Week 9 Fractions, decimals and percentages MA4-FRC-C-01

Term 1 Week 10 Ratios and rates MA4-RAT-C-01/Review

Term 2 Week 1 Fractions, decimals and percentages MA4-FRC-C-01

Term 2 Week 2 Fractions, decimals and percentages MA4-FRC-C-01

Term 2 Week 3 Fractions, decimals and percentages MA4-FRC-C-01

Term 2 Week 4 Integers MA4-INT-C-01

Term 2 Week 5 Integers MA4-INT-C-01

Term 2 Week 6 Integers MA4-INT-C-01

Term 2 Week 7 Linear relationships MA4-LIN-C-01

Term 2 Week 8 Ratios and rates MA4-RAT-C-01

Term 2 Week 9 Angle relationships MA4-ANG-C-01

Term 2 Week 10 Angle relationships MA4-ANG-C-01/Review

Term 3 Week 1 Properties of geometrical figures MA4-GEO-C-01

Term 3 Week 2 Properties of geometrical figures MA4-GEO-C-01

Term 3 Week 3 Volume MA4-VOL-C-01

Term 3 Week 4 Algebraic techniques MA4-ALG-C-01

Term 3 Week 5 Algebraic techniques MA4-ALG-C-01

Term 3 Week 6 Algebraic techniques MA4-ALG-C-01

Term 3 Week 7 Algebraic techniques MA4-ALG-C-01

Term 3 Week 8 Equations MA4-EQU-C-01

Term 3 Week 9 Length MA4-LEN-C-01

Year 8

Computation with integers MA4-INT-C-01

Fractions, decimals and percentages MA4-FRC-C-01

Ratios and rates MA4-RAT-C-01

Ratios and rates MA4-RAT-C-01/Review

Indices MA4-IND-C-01

Algebraic techniques MA4-ALG-C-01

Length MA4-LEN-C-01/ Area MA4-ARE-C-01

Area MA4-ARE-C-01

Area MA4-ARE-C-01/Review

Volume MA4-VOL-C-01

Angle relationships MA4-ANG-C-01

Properties of geometrical figures MA4-GEO-C-01

Equations MA4-EQU-C-01

Term 3 Week 10 Review Review

Term 4 Week 1 Area MA4-ARE-C-01

Term 4 Week 2 Area MA4-ARE-C-01

Term 4 Week 3 Volume MA4-VOL-C-01

Term 4 Week 4 Data classification and visualisation MA4-DAT-C-01

Term 4 Week 5 Data classification and visualisation MA4-DAT-C-01

Term 4 Week 6 Data analysis MA4-DAT-C-02

Term 4 Week 7 Data analysis MA4-DAT-C-02

Term 4 Week 8 Probability MA4-PRO-C-01

Term 4 Week 9 Probability MA4-PRO-C-01

Linear relationships MA4-LIN-C-01

Pythagoras’ theorem MA4-PYT-C-01

Data classification and visualisation MA4-DAT-C-01

Data analysis MA4-DAT-C-02

Probability MA4-PRO-C-01

Term 4 Week 10 Review Review

No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

Year 7

Term Curriculum links Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10

MA4-INT-C-01

Place value 1B Adding whole numbers 1C Subtracting whole numbers 1D Multiplying whole numbers 1E Long multiplication 1F Dividing whole numbers 1G Indices and square roots 1H Order of operations 2A Number sequences 2B Divisibility rules

Multiples and the lowest common multiple

Factors and the highest common factor

Prime and composite numbers

Prime factorisation

Fractions

Equivalent fractions

Ordering fractions

Mixed numbers and improper fractions

Adding and subtracting fractions

Multiplying fractions

Dividing fractions

Ratios Review

MA4-FRC-C-01

4A Decimals 4B Ordering and rounding decimals 4C Adding and subtracting decimals 4D Multiplying decimals 4E Dividing decimals 4F Percentages

Fractions, decimals and percentages

Calculating percentages

MA4-IND-C-01 MA4-FRC-C-01 MA4-RAT-C-01 1A

MA4-INT-C-01 MA4-LIN-C-01 MA4-RAT-C-01 MA4-ANG-C-01

Percentage increase s and decrease s

Negative numbers

Adding and subtracting

numbers

positive

Adding and

numbers

subtracting negative

The Cartesian plane

Line graphs

Classifying angles and lines

Angles at a point

Angles and parallel lines Review

MA4-GEO-C-01 MA4-VOL-C-01 MA4-ALG-C-01 MA4-EQU-C-01 MA4-LEN-C-01 7D Classifying triangles 7E Classifying quadrilaterals 7F 3D objects 6A Variables

Writing formulas

Terms, expressions and equations

Order of operations in algebra

Substitution

Simplifying

Solving equations by inspection

Solving equations using inverse operations

Length and perimeter

Circumference of a circle Review

MA4-ARE-C-01 MA4-VOL-C-01 MA4-DAT-C-01 MA4-DAT-C-02 MA4-PRO-C-01 8C Area of a rectangle 8D Area of a parallelogram 8E Area of a triangle 8F Volume and capacity 9A Collecting and classifying data 9B Summary statistics

Interpreting graphs 9D Dot plots

Stem - andleaf plots

Describing probability 9G Theoretical probability 9H Experimental probability Review No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

Year 8

Term Curriculum links Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 1 MA4-INT-C-01 MA4-FRC-C-01 MA4-RAT-C-01 1A Rounding and estimating 1B Adding and subtracting whole numbers 1C Multiplying and dividing whole numbers 1D Multiples, factors, indices and roots 1E Negative integers 1F Adding and subtracting integers 1G Multiplying and dividing integers 1H Order of operations 2A Fractions 2B A dding and subtracting fractions 2C Multiplying and dividing fractions 2D Decimals 2E Adding and subtracting decimals 2F Multiplying and dividing decimals 2G Terminating, nonterminating and recurring decimals 3A Percentages, fractions and decimals 3B Calculating percentages 3C Mark - ups and discounts 3D Profit and loss 3E Ratios 3F Equivalent ratios 3G Working with ratios 3H Rates 3I Distance –time graphs Review 2 MA4-IND-C-01 MA4-ALG-C-01 MA4-LEN-C-01 MA4-ARE-C-01 4A Indices 4B Products and quotients of powers 4C Raising indices and the zero index 4D Combining the index laws 4E Roots 5A Expressions 5B Substitution 5C Adding and subtracting algebraic terms 5D Multiplying algebraic terms 5E Dividing algebraic terms 5F Expanding 5G Factorising 8A Length and perimeter 8B Area of triangles and rectangles 8C Area of quadrilaterals 8D Area of a circle Review 3 MA4-VOL-C-01 MA4-ANG-C-01 MA4-GEO-C-01 MA4-EQU-C-01 8E Volume and capacity 7A Angles 7B Triangles 7C Quadrilaterals 6A Equations 6B Solving linear equations 6C Solving equations with the unknown on both sides 6D Changing the subject of a formula 6E Solving simple quadratic equations Review 4 MA4 - LIN - C - 01 MA4 - PYT-C- 01 MA4 - DAT-C- 01 MA4 - DAT-C- 02 MA4 - PRO -C- 01 6F Plotting linear relationships 6G Solving linear equations using graphs 6H Intersecting lines 6I Finding linear equations 7D Pythagoras' Theorem 7E Finding the length of a shorter side 7F Applications of Pythagoras' theorem 9A Summary statistics 9B Constructing graphs 9C Grouped data and histograms 9D Describing data 9E Comparing data 9F Theoretical p robability Review No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

Term 1 Week 1 Financial mathematics A MA5-FIN-C-01

Term 1 Week 2 Financial mathematics A MA5-FIN-C-01

Term 1 Week 3 Financial mathematics A MA5-FIN-C-01

Term 1 Week 4 Indices A MA5-IND-C-01

Term 1 Week 5 Indices A MA5-IND-C-01

Term 1 Week 6 Numbers of any magnitude MA5-MAG-C-01

Term 1 Week 7 Algebraic techniques A MA5-ALG-C-01

Term 1 Week 8 Algebraic techniques A MA5-ALG-C-01

Term 1 Week 9 Algebraic techniques A MA5-ALG-C-01

Scope and sequence for Stage 5 (Standard pathway)

Year 9

Financial mathematics A MA5-FIN-C-01

Financial mathematics B MA5-FIN-C-02

Indices A MA5-IND-C-01

Algebraic techniques A MA5-ALG-C-01

Algebraic techniques B MA5-ALG-P-01

Equations A MA5-EQU-C-01

Equations C MA5-EQU-P-02

Term 1 Week 10 Review Review

Term 2 Week 1 Properties of geometrical figures A MA5-GEO-C-01

Term 2 Week 2 Equations A MA5-EQU-C-01

Term 2 Week 3 Linear relationships B MA5-LIN-C-02

Term 2 Week 4 Linear relationships B MA5-LIN-C-02

Term 2 Week 5 Linear relationships B MA5-LIN-C-02

Term 2 Week 6 Linear relationships B MA5-LIN-C-02

Term 2 Week 7 Variation and rates of change A MA5-RAT-P-01

Term 2 Week 8 Linear relationships A MA5-LIN-C-01

Term 2 Week 9 Linear relationships A MA5-LIN-C-01

Term

Linear relationships C MA5-LIN-P-01

Variation and rates of change A MA5-RAT-P-01

Area and surface area A MA5-ARE-C-01

Volume A MA5-VOL-C-01

Area and surface area B MA5-ARE-P-01

Volume B MA5-VOL-P-01

Area and surface area B MA5-ARE-P-01/

Volume B MA5-VOL-P-01

Year 10

Term 3 Week 10 Review Review

Term 4 Week 1 Trigonometry A MA5-TRG-C-01

Term 4 Week 2 Trigonometry A MA5-TRG-C-01

Term 4 Week 3 Trigonometry A MA5-TRG-C-01

Term 4 Week 4 Data analysis A MA5-DAT-C-01

Term 4 Week 5 Data analysis A MA5-DAT-C-01

Term 4 Week 6 Data analysis A MA5-DAT-C-01

Term 4 Week 7 Probability A MA5-PRO-C-01

Term 4 Week 8 Probability A MA5-PRO-C-01

Term 4 Week 9 Probability A MA5-PRO-C-01

Probability A MA5-PRO-C-01

Non-linear relationships B MA5-NLI-C-02

Non-linear relationships B or C

MA5-NLI-C-02 or MA5-NLI-P-01

Non-linear relationships B or C

MA5-NLI-C-02 or MA5-NLI-P-01

Non-linear relationships B or C

MA5-NLI-C-02 or MA5-NLI-P-01

Introduction to networks MA5-NET-P-01

Term 4 Week 10 Review Review

1 Non-linear relationships A MA5-NLI-C-01 Trigonometry A MA5-TRG-C-01 Term 3 Week 2 Non-linear relationships A MA5-NLI-C-01 Trigonometry A MA5-TRG-C-01 Term 3 Week 3 Non-linear relationships B MA5-NLI-C-02 Trigonometry B MA5-TRG-C-02 Term 3 Week 4 Non-linear relationships B MA5-NLI-C-02 Trigonometry C MA5-TRG-P-01 Term 3 Week 5 Area and surface area A MA5-ARE-C-01 Trigonometry C MA5-TRG-P-01

3 Week 6 Area and surface area A MA5-ARE-C-01 Trigonometry C MA5-TRG-P-01 Term 3 Week 7 Area and surface area A MA5-ARE-C-01 Data analysis B MA5-DAT-C-02 Term 3 Week 8 Volume A MA5-VOL-C-01 Data analysis C MA5-DAT-P-01 Term 3 Week 9 Numbers of any magnitude MA5-MAG-C-01 Data analysis C MA5-DAT-P-01

2 Week 10 Review Review Term

Week

Term

No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

MA5-LIN-C-01

MA5-LIN-C-02

MA5-MAG-C-01

5B Plotting quadratic relationships ( Topic r evisited in Year 10)

5C Sketching parabolas using intercepts (Topic revisited in Year 10)

4 MA5-TRG-C-01

MA5-DAT-C-01

MA5-PRO-C-01

7H Trigonometric ratios

7I Using trigonometry to find side lengths

5D Sketching parabolas using transformatio ns (Topic revisited in Year 10)

7J Using trigonometry to find angles

5E Plotting exponential relationships (Topic revisited in Year 10)

8A Fivenumber summary and interquartile range

8B Box plots

6A Area of composite shapes

6B Surface area

6C Surface area of cylinders

6D Volume of composite solids

6E Errors Review

8C Distributions of data

8D The mean and standard deviation

8E Two - step chance experiments

8F Experiments with replacement

8G Experiments without replacement

Review DRAFT

Term Curriculum links Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10

MA5-FIN-C-01

Wages and

Taxation 1D Budgeting

1E Simple interest 1F Simple

2A Indices 2B Products and quotients of powers 2C Raising indices and the zero index 2D Negative indices 2E Scientific notation 2F Rounding and estimating 3A Simplifying 3B Algebraic fractions with numerical denominators 3D Expanding Review

Year 9

MA5-IND-C-01 MA5-MAG-C-01 MA5-ALG-C-01 1A

salaries 1B Other forms of income 1C

and spending money

interest calculations

2 MA5-GEO-C-01 MA5-EQU-C-01

equations 4G Direct variation 4H Midpoint and length of a line segment 4I Parallel and perpendicular lines Review

MA5-RAT-P-01 7C Dilation s and similar figures 4A Solving linear equations 4C Plotting linear relationships 4D Gradient and intercepts 4E Sketching linear graphs

Determining linear

3 MA5-NLI-C-01 MA5-NLI-C-02 MA5-ARE-C-01 MA5-VOL-C-01

8H Experimental probability and simulations No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means.

4 MA5 - PRO - C - 01

MA5 - NLI -C- 01

MA5 - NLI -P- 01

MA5 - NET-P- 01

11D Theoretical probability

11E Experiments with and without replacement

trigonometry

5B Plotting quadratic relationships

(Inter - year link Year 9)

9D Threedimensional problems

5C Sketching parabolas using intercepts

(Inter - year link Year 9)

5C Graphing parabolas using intercepts

9E The sine and area rules

9F The cosine rule

11A Bivariate data and scatter plots

11B Sampling methods

11C Analysing reports Review

5D Sketching parabolas using transformation

(Inter - year link Year 9) Or

5D Graphing parabolas using transformations

5E Plotting exponential relationships

(Inter - year link Year 9) Or

5G Graphing exponential and logarithmic relationships

10A Introduction to networks

10B Planar graphs

10C Platonic solids

10D Special types of walks

Review DRAFT

Term Curriculum links Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 1 MA5 - FIN - C - 01 MA5 - FIN -C- 02 MA5 - IND -C- 01 MA5 - IND -P- 01 MA5 - EQU -C- 01 MA5 - EQU - P - 0 2 1A Earning money 1B Simple interest 1C Compound interest 1D Compound interest calculations 1E Depreciation 2A Indices 2C Simplifying 2D Expanding 4A Solving linear equations (Inter - year link Year 9) 4A Solving linear equations Review 2 MA5 - LIN - P - 01 MA5 - RAT-P- 01 MA5 - ARE -C- 01 MA5 - ARE -P- 01 MA5 - VOL -C- 01 MA5 - VOL - P - 01 5A Linear relationships 5B Gradient, midpoint and distance between two points 5I Direct and inverse variation 8A Area review 8B Surface area review 8C Volume review 8D Surface area of pyramids and cones 8E Volume of pyramids and cones 8F Surface area and volume of spheres Review 3 MA5 - TRG - C - 01 MA5 - TRG -C- 02 MA5 - TRG -P- 01 MA5 - DAT-C- 02 MA5 - DAT- P - 01 9A Pythagoras' theorem 9B Trigonometry 9C Applications of

Year 10

10E Applications of networks No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means.

Scope and sequence for Stage 5 (Advanced pathway)

Year 9

Year 10

Term 1 Week 1 Financial mathematics A MA5-FIN-C-01

Term 1 Week 2 Financial mathematics A MA5-FIN-C-01

Term 1 Week 3 Financial mathematics A MA5-FIN-C-01

Term 1 Week 4 Indices A MA5-IND-C-01

Term 1 Week 5 Indices A MA5-IND-C-01

Term 1 Week 6 Numbers of any magnitude MA5-MAG-C-01

Term 1 Week 7 Algebraic techniques A MA5-ALG-C-01

Term 1 Week 8 Algebraic techniques A MA5-ALG-C-01

Term 1 Week 9 Algebraic techniques B MA5-ALG-P-01

Term 1 Week 10 Review

Term 2 Week 1 Equations A MA5-EQU-C-01

Term 2 Week 2 Equations B MA5-EQU-P-01

Term 2 Week 3 Linear relationships B MA5-LIN-C-02

Term 2 Week 4 Linear relationships B MA5-LIN-C-02

Term 2 Week 5 Linear relationships B MA5-LIN-C-02

Term 2 Week 6 Linear relationships B MA5-LIN-C-02

Term 2 Week 7 Variation and rates of change A MA5-RAT-P-01

Term 2 Week 8 Linear relationships A MA5-LIN-C-01

Term 2 Week 9 Linear relationships A MA5-LIN-C-01

Term 2 Week 10 Review

Term 3 Week 1 Equations B MA5-EQU-P-01

Term 3 Week 2 Non-linear relationships A MA5-NLI-C-01

Term 3 Week 3 Non-linear relationships A MA5-NLI-C-01

Term 4 Week 3 Data analysis A MA5-DAT-C-01

Term 4 Week 4 Data analysis A MA5-DAT-C-01

Term 4 Week 5 Probability A MA5-PRO-C-01

Term 4 Week 6 Probability A MA5-PRO-C-01

Term 4 Week 7 Probability A MA5-PRO-C-01

Term 4 Week 8 Linear relationships A MA5-LIN-C-01

Term 4 Week 9 Properties of geometrical figures A MA5-GEO-C-01

Financial mathematics A MA5-FIN-C-01

Financial mathematics B MA5-FIN-C-02

Financial mathematics B MA5-FIN-C-02/Indices A MA5-IND-C-01

Indices B MA5-IND-P-01

Algebraic techniques A MA5-ALG-C-01

Algebraic techniques B MA5-ALG-P-01

Algebraic techniques C MA5-ALG-P-02

Indices C MA5-IND-P-02

Logarithms MA5-LOG-P-01

Equations C MA5-EQU-P-02/Functions and other graphs MA5-FNC-P-01

Equations B MA5-EQU-P-01

Equations C MA5-EQU-P-02

Linear relationships C MA5-LIN-P-01

Non-linear relationships C MA5-NLI-P-01

Non-linear relationships C MA5-NLI-P-01/Logarithms MA5-LOG-P-01

Variation and rates of change A MA5-RAT-P-01/Variation and rates of change B MA5-RAT-P-02

Functions and other graphs MA5-FNC-P-01

Polynomials MA5-POL-P-01

Data analysis C MA5-DAT-P-01

Probability A MA5-PRO-C-01

Probability B MA5-PRO-P-01

Area and surface area A MA5-ARE-C-01

Volume A MA5-VOL-C-01/Area and surface area B MA5-ARE-P-01

Volume B MA5-VOL-P-01/Area and surface area B MA5-ARE-P-01

Term 4 Week 10 Review Review

Polynomials MA5-POL-P-01 Term 3 Week 4 Non-linear relationships B MA5-NLI-C-02 Polynomials MA5-POL-P-01 Term 3 Week 5 Non-linear relationships B MA5-NLI-C-02 Trigonometry A MA5-TRG-C-01 Term 3 Week 6 Trigonometry A MA5-TRG-C-01 Trigonometry B MA5-TRG-C-02 Term 3 Week 7 Trigonometry A MA5-TRG-C-01 Trigonometry C

A MA5-ARE-C-01 Trigonometry D

MA5-TRG-P-01 Term 3 Week 8 Area and surface area

MA5-TRG-P-02

Trigonometry D

Term 3 Week 9 Area and surface area

MA5-ARE-C-01

MA5-TRG-P-02

Review

Term 3 Week 10 Review

Data

Term 4 Week 1 Volume A MA5-VOL-C-01

analysis

MA5-DAT-C-02

Data

Term 4 Week 2 Numbers of any magnitude MA5-MAG-C-01

analysis

MA5-DAT-P-01

No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

Year 9

Term Curriculum links Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 1 MA5-FIN-C-01 MA5-IND-C-01 MA5-MAG-C-01 MA5-ALG-C-01 MA5-ALG-P-01 1A Wages and salaries 1B Other forms of income 1C Taxation 1D Budgeting and spending money 1E Simple interest 1F Simple interest calculations 2A Indices 2B Products and quotients of powers 2C Raising indices and the zero index 2D Negative indices 2E Scientific notation 2F Rounding and estimating 3A Simplifying 3B Algebraic fractions with numerical denominators 3C Algebraic fractions with algebraic denominators 3D Expanding 3E Factorising using the HCF 3F Factorising monic quadratic expressions Review 2 MA5-EQU-C-01 MA5-EQU-P-01 MA5-LIN-C-01 MA5-LIN-C-02 MA5-RAT-P-01 4A Solving linear equations 4B Solving linear inequalities 4C Plotting linear relationships 4D Gradient and intercepts 4E Sketching linear graphs 4F Determining linear equations 4G Direct variation 4H Midpoint and length of a line segment 4I Parallel and perpendicular lines Review 3 MA5-EQU-P-01 MA5-NLI-C-01 MA5-NLI-C-02 MA5-TRG-C-01 MA5-ARE-C-01 5A Solving quadratic equations 5B Plotting quadratic relationships 5C Sketching parabolas using intercepts 5D Sketching parabolas using transformations 5E Plotting exponential relationships 7H Trigonometric ratios 7I Using trigonometry to find side lengths 7J Using trigonometry to find angles 6A Area of composite shapes 6B Surface area 6C Surface area of cylinders Review 4 MA5-VOL-C-01 MA5-MAG-C-01 MA5-DAT-C-01 MA5-PRO-C-01 MA5-LIN-C-01 MA5-GEO-C-01 6D Volume of composite solids 6E Errors 8A Fivenumber summary and interquartile range 8B Box plots 8C Distributions of data 8D The mean and standard deviation 8E Two - step chance experiments 8F Experiments with replacement 8G Experiments without replacement 8H Experimental probability and simulations 7A Symmetry and reflections 7B Translations and rotations 7C Dilations and similar figures Review No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

3 MA5 - FNC - P - 01

MA5 - POL -P- 01

MA5 - TRG -C- 01

MA5 - TRG -C- 02

MA5 - TRG -P- 01

MA5 - TRG -P- 02

6A Functions and relations

6B Polynomials

equations

4B Solving linear inequalities

6C Dividing polynomials

6D Remainder and factor theorems

6E Solving polynomial equations

Year 10

4C Simultaneous linear equations

4D Solving quadratic equations

6F Sketching graphs of polynomials using intercepts

6G Sketching graphs of polynomials using transformations

4E The quadratic formula

4F Solving cubic equations

5A Linear relationships

5B Gradient, midpoint and distance between two points

5C Graphing parabolas using intercepts

5D Graphing parabolas using transformations

5E Cubic and other nonlinear relationships

5F Graphing circles

5G Graphing expon ential and logarithmic relationships

5H Graphing hyperbolas

5I Direct and inverse variation

5J Rates of change

9A Pythagoras' theorem

9B Trigonometry

9C Applications

Term Curriculum links Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 1 MA5 - FIN - C - 01 MA5 - FIN -C- 02 MA5 - IND -C- 01 MA5 - IND -P- 01 MA5 - IND -P- 02 MA5 - ALG -C- 01 MA5 - ALG -P-01 MA5 - ALG - P - 02 1A Earning money 1B Simple interest 1C Compound interest 1D Compound interest calculations 1E Depreciation 2A Indices 2B Negative indices 2C Simplifying 2D Expanding 2E Algebraic fractions 2F Factorising 2G Factorising quadratic expressions 2H Completing the square 2I Factorising non - monic quadratic expressions 3A Rational and irrational numbers 3B Simplifying surds 3C Multiplying and dividing surds 3D Adding and subtracting surds 3E Rationalising the denominator 3F Fractional indices 2 MA5 - LOG - P - 01 MA5-FNC-P-01 MA5 - EQU -P- 01 MA5 - EQU -P- 02 MA5 - LIN -P- 01 MA5 - NLI -P- 01 MA5 - RAT-P- 01 MA5 - RAT- P - 02 3G Logarithms 3H Logarithm laws 3I Logarithmic scales 4A Solving linear

of t rigonometry

Threedimensional problems 9E The sine and area rules

The cosine rule 9G The unit circle

Exact values 9I Trigonometric graphs

Solving trigonometric equations Review 4 MA5 - DAT- C - 02 MA5 - DAT-P- 01 MA5 - PRO -C- 01

- PRO -P- 01 MA5 - ARE -C- 01 MA5 - ARE -P- 01 MA5 - VOL -C- 01 MA5 - VOL - P - 01 11A Bivariate data and scatter plots 11B Sampling methods 11C Analysing reports 11D Theoretical probability 11E Experiments with and without replacement 11F Two - way tables 11G Venn diagrams 11H Conditional probability 8A Area review 8B Surface area review 8C Volume review 8D Surface area of pyramids and cones 8E Volume of pyramids and cones 8F Surface area and volume of spheres Review No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

MA5

Scope and sequence for Stage 5 (Extension pathway)

Year 9

Term 1 Week 1 Financial mathematics A MA5-FIN-C-01

Term 1 Week 2 Financial mathematics A MA5-FIN-C-01

Term 1 Week 3 Financial mathematics A MA5-FIN-C-01

Term 1 Week 4 Indices A MA5-IND-C-01

Term 1 Week 5 Indices A MA5-IND-C-01

Term 1 Week 6 Numbers of any magnitude MA5-MAG-C-01

Term 1 Week 7 Algebraic techniques A MA5-ALG-C-01

Term 1 Week 8 Algebraic techniques A MA5-ALG-C-01

Term 1 Week 9 Algebraic techniques B MA5-ALG-P-01

Year 10

Financial mathematics A MA5-FIN-C-01

Financial mathematics B MA5-FIN-C-02

Financial mathematics B MA5-FIN-C-02/Indices A MA5-IND-C-01

Indices B MA5-IND-P-01

Algebraic techniques A MA5-ALG-C-01

Algebraic techniques B MA5-ALG-P-01

Algebraic techniques C MA5-ALG-P-02

Indices C MA5-IND-P-02

Term 1 Week 10 Review Indices C MA5-IND-P-02

Term 2 Week 1 Equations A MA5-EQU-C-01

Term 2 Week 2 Equations B MA5-EQU-P-01

Term 2 Week 3 Linear relationships B MA5-LIN-C-02

Term 2 Week 4 Linear relationships B MA5-LIN-C-02

Term 2 Week 5 Linear relationships B MA5-LIN-C-02

Term 2 Week 6 Linear relationships B MA5-LIN-C-02

Term 2 Week 7 Variation and rates of change A MA5-RAT-P-01

Term 2 Week 8 Linear relationships A MA5-LIN-C-01

Term 2 Week 9 Linear relationships A MA5-LIN-C-01

Term 2 Week 10 Review

Term 3 Week 1 Equations B MA5-EQU-P-01

Term 3 Week 2 Non-linear relationships A MA5-NLI-C-01

Term 3 Week 3 Non-linear relationships A

Term 3 Week 8 Area and surface area A MA5-ARE-C-01

Term 3 Week 9 Area and surface area A MA5-ARE-C-01

Logarithms MA5-LOG-P-01

Equations C MA5-EQU-P-02/Functions and other graphs MA5-FNC-P-01

Equations B MA5-EQU-P-01

Equations C MA5-EQU-P-02

Linear relationships C MA5-LIN-P-01

Non-linear relationships C MA5-NLI-P-01

Non-linear relationships C MA5-NLI-P-01/Logarithms MA5-LOG-P-01

Variation and rates of change A MA5-RAT-P-01/Variation and rates of change B MA5-RAT-P-02

Functions and other graphs MA5-FNC-P-01

Polynomials MA5-POL-P-01

Trigonometry C MA5-TRG-P-01

Trigonometry D MA5-TRG-P-02

Term 3 Week 10 Review Data analysis B MA5-DAT-C-02

Term 4 Week 1 Volume A MA5-VOL-C-01

Term 4 Week 2 Numbers of any magnitude MA5-MAG-C-01

Term 4 Week 3 Data analysis A MA5-DAT-C-01

Term 4 Week 4 Data analysis A MA5-DAT-C-01

Term 4 Week 5 Probability A MA5-PRO-C-01

Term 4 Week 6 Probability A MA5-PRO-C-01

Term 4 Week 7 Linear relationships A MA5-LIN-C-01

Term 4 Week 8 Properties of geometrical figures A MA5-GEO-C-01

Term 4 Week 9 Properties of geometrical figures B MA5-GEO-P-01

Term 4 Week 10 Review

Data analysis C MA5-DAT-P-01

Probability A MA5-PRO-C-01

Probability B MA5-PRO-P-01

Area and surface area A MA5-ARE-C-01/Volume A MA5-VOL-C-01

Area and surface area B MA5-ARE-P-01

Volume B MA5-VOL-P-01

Properties of geometrical figures B MA5-GEO-P-01

Properties of geometrical figures C MA5-GEO-P-02

Circle geometry MA5-CIR-P-01

MA5-NLI-C-01 Polynomials MA5-POL-P-01 Term 3 Week 4 Non-linear relationships B MA5-NLI-C-02 Polynomials MA5-POL-P-01 Term 3 Week 5 Non-linear relationships B MA5-NLI-C-02 Trigonometry A MA5-TRG-C-01 Term 3 Week 6 Trigonometry A MA5-TRG-C-01 Trigonometry B MA5-TRG-C-02 Term 3 Week 7 Trigonometry A MA5-TRG-C-01

No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

Year 9

Term Curriculum links Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 1 MA5-FIN-C-01 MA5-IND-C-01 MA5-MAG-C-01 MA5-ALG-C-01 MA5-ALG-P-01 1A Wages and salaries 1B Other forms of income 1C Taxation 1D Budgeting and spending money 1E Simple interest 1F Simple interest calculations 2A Indices 2B Products and quotients of powers 2C Raising indices and the zero index 2D Negative indices 2E Scientific notation 2F Rounding and estimating 3A Simplifying 3B Algebraic fractions with numerical denominators 3C Algebraic fractions with algebraic denominators 3D Expanding 3E Factorising using the HCF 3F Factorising monic quadratic expressions Review 2 MA5-EQU-C-01 MA5-EQU-P-01 MA5-LIN-C-01 MA5-LIN-C-02 MA5-RAT-P-01 4A Solving linear equations 4B Solving linear inequalities 4C Plotting linear relationships 4D Gradient and intercepts 4E Sketching linear graphs 4F Determining linear equations 4G Direct variation 4H Midpoint and length of a line segment 4I Parallel and perpendicular lines Review 3 MA5-EQU-P-01 MA5-NLI-C-01 MA5-NLI-C-02 MA5-TRG-C-01 MA5-ARE-C-01 5A Solving quadratic equations 5B Plotting quadratic relationships 5C Sketching parabolas using intercepts 5D Sketching parabolas using transformations 5E Plotting exponential relationships 7H Trigonometric ratios 7I Using trigonometry to find side lengths 7J Using trigonometry to find angles 6A Area of composite shapes 6B Surface area 6C Surface area of cylinders Review 4 MA5-VOL-C-01 MA5-MAG-C-01 MA5-DAT-C-01 MA5-PRO-C-01 MA5-LIN-C-01 MA5-GEO-C-01 MA5-GEO-P-01 6D Volume of composite solids 6E Errors 8A Fivenumber summary and interquartile range 8B Box plots 8C Distributions of data 8D The mean and standard deviation 8E Two - step chance experiments 8F Experiments with replacement 8G Experiments without replacement 8H Experimental probability and simulations 7A Symmetry and reflections 7B Translations and rotations 7C Dilations and similar figures 7D Area and volume scale factors 7E Congruence 7F Congruent triangles 7G Similar triangles Review No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT

3 MA5 - FNC - P - 01

MA5 - POL -P- 01

MA5 - TRG -C- 01

MA5 - TRG -C- 02

MA5 - TRG -P- 01

MA5 - TRG -P- 02

MA5 - DAT-C- 02

equations

4B Solving linear inequalities

6D Remainder and factor theorems

6E Solving polynomial equations

Year 10

4C Simultaneous linear equations

4D Solving quadratic equations

6F Sketching graphs of polynomials using intercepts

6G Sketching graphs of polynomials using transformations

4E The quadratic formula

4F Solving cubic equations

5A Linear relationships

5B Gradient, midpoint and distance between two points

5C Graphing parabolas using intercepts

5D Graphing parabolas using transformations

5E Cubic and other nonlinear relationships

5F Graphing circles

5G Graphing exponential and logarithmic relationships

5H Graphing hyperbolas

5I Direct and inverse variation

5J Rates of change

9A Pythagoras' theorem

9E The sine an d area rules

9F The cosine rule

9G The unit circle

9H Exact values

9I Trigonometric graphs

9J Solving trigonometric equations

11A Bivariate data and scatter plots

6A Functions and relations 6B Polynomials 6C Dividing polynomials

Trigonometry

9C Applications of trigonometry 9D Threedimensional problems

4 MA5 - DAT- P - 01 MA5 - PRO -C- 01 MA5 - PRO -P- 01 MA5 - ARE -C- 01 MA5 - ARE -P- 01 MA5 - VOL -C- 01 MA5 - VOL -P- 01 MA5 - GEO -P-01 MA5 - GEO -P- 02 MA5 - CIR - P - 0 1 11B Sampling methods 11C Analysing reports 11D Theoretical probability 11E Experiments with and without replacement 11F Two - way tables 11G Venn diagrams 11H Conditional probability 8A Area review 8B Surface area review 8C Volume review 8D Surface area of pyramids and cones 8E Volume of pyramids and cones 8F Surface area and volume of spheres 7A Geometrical properties 7B Congruence and similarity 7C Geometric proofs 7D Circle geometry: angles 7E Circle geometry: chords 7F Circle geometry: tangents and secants No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. DRAFT