NSW Year 7
Topic 1. Whole numbers
Formative check-in
* Additive relations
* Multiplicative relations
Estimated Time Curriculum Outcomes
1.01 Addition and subtraction As needed Background
1 02 Multiplication As needed Background
1 03 Division As needed Background
1 04 Order of operations with whole numbers As needed Background
Formative check-in and growth day (recommended) Background
1.05 Check reasonableness of calculations As needed Background
INVESTIGATION: How long does it take to count to a million? As needed Background
1 06 Number calculations with technology As needed Background
1 07 Write mathematical statements As needed Background
Formative check-in Additive relations, Multiplicative relations and Topic 1 Review
Topic 2. Number properties
Formative check-in
* Algebraic techniques
* Indices
2 01 Number operation properties
2 02 Square numbers
2.03 Square roots
Formative check-in and growth day (recommended)
2 04 Powers of whole numbers
2 05 Powers of ten
2 06 Factors and multiples
2 07
2 08 Using factors and multiples
Background
1 INVESTIGATION: The sieve of Eratosthenes
1
3
2
check-in Algebraic techniques, Indices and Topic 2 Review
Topic 3. Integers
3
3
Life-size number line
3 03 Add and subtract integers
and Topic 3 Review
Formative check-in
Fractions, decimals and percentages substrand
4 01 Identify, order and compare fractions 1
1
4 02 Negative fractions 1 day MA4-FRC-C-01 1 MA4-FRC-C-01 6
4 03 Equivalent and simplified fractions
MA4-FRC-C-01 1 Formative check-in and growth day (recommended)
INVESTIGATION: Fraction flowers
4 04 Add and subtract fractions
7 INVESTIGATION: Egyptian fractions
4.05 Fractions of a quantity
1 MA4-FRC-C-01 7
MA4-FRC-C-01.8 MA4-FRC-C-01.9 Formative check-in and growth day (recommended)
4 06 Multiply fractions
4 07
4 08 Order of operations with fractions
Formative check-in Fractions, decimals and percentages and Topic 4 Review
5 01 Decimals and place value
5.02
5 03 Convert
5 04 Multiply decimals
5
5.06 Round decimals
Formative check-in Fractions, decimals and percentages and Topic 5 Review
Topic 6. Percentages
Formative check-in
6 01 Fractions, decimals and percentages 1 day
6 02 Compare percentages 1 day
6 03 Express a quantity as a percentage
6.04 Percentages of a quantity
6 05 Percentages with technology 1 day
Formative check-in Fractions, decimals and percentages and Topic 6 Review 1 day
Topic 7 Ratios ~1 week
Formative check-in
Ratios and rates
MA4-FRC-C-01 4
MA4-FRC-C-01 6
MA4-FRC-C-01 10
MA4-FRC-C-01 6
MA4-FRC-C-01 10
MA4-FRC-C-01 9
MA4-FRC-C-01 10
MA4-FRC-C-01 9
MA4-FRC-C-01 10
7.01 Identify ratios
7 02 Equivalent and simplified ratios
7.03 Find part or whole measures
Formative check-in Ratios and rates and Topic 7 Review
Topic 8. Algebra
8 02 Build algebraic expressions
8.03 Substitution
8 04 Collect like terms
Formative check-in Algebraic techniques and Topic 8 Review
9 Equations
Formative check-in * Algebraic techniques substrand * Equations substrand
9 01 Introduction to equations
9
9 03 One-step equations
Formative check-in Algebraic techniques, Equations substrand and Topic 9 Review
10.
10 03 Graphs of linear relationships
check-in Linear relationships and Topic 10 Review
Topic 11. Angles, lines, and shapes
check-in
MA4-RAT-C-01.1 MA4-RAT-C-01.2
MA4-RAT-C-01 1
MA4-RAT-C-01 2
MA4-RAT-C-01.1
MA4-RAT-C-01.2
MA4-ALG-C-01 1
MA4-ALG-C-01 2
MA4-ALG-C-01 3
MA4-ALG-C-01.2
MA4-EQU-C-01.2
3
2
2
3
2
1
3 Formative check-in Angle relationship substrand, Properties of geometrical figures substrand and Topic 11 Review
Topic 12. Length and area
Formative check-in
* Length substrand * Area and surface area substrand
12 01 Units of length
Background 12.02 Perimeter
12 03 Perimeter of composite shapes
check-in and growth day (recommended)
12 04 Area of rectangles and squares
12 05 Area of triangles
12.06 Area of parallelograms
12 07 Area of composite shapes
check-in and growth day (recommended)
INVESTIGATION: Explore circles
12 08 Circumference of a circle
Formative check-in Length substrand, Area and surface area substrand and Topic 12 Review
Topic 13. Solids and volume
check-in Volume substrand and Topic 13 Review
Formative check-in * Data classification and visualisation * Data analysis substrand
14 01 Types of data
1 14 02 Frequency tables
14 03 Summarise data
14 06 Stem-and-leaf plots
Formative check-in Data classification and visualisation substrand and Data analysis substrand and Topic 14 Review
1
1
1
2
2
3
MA4-DAT-C-01 2
MA4-DAT-C-01 3
MA4-DAT-C-02 1
NSW Year 8
Topic 1. Real numbers
Formative check-in
* Computation with integers substrand * Fractions, decimals and percentages substrand
1 01 Add and subtract integers
1.02 Multiply and divide integers
1 03 Mixed operations with integers
Time Curriculum Outcomes
2
4 Formative check-in and growth day (recommended)
1 04 Negative fractions
1 05 Negative decimals
1 06 Rational and irrational numbers
1 07 Recurring and terminating decimals
and growth day (recommended)
INVESTIGATION - Golden ratio
1.08 Squares, square roots, cubes and cube roots
1 09 Index laws
Formative check-in Fractions, decimals and percentages substrand and Computation with integers substrand and Topic 1 Review
Topic 2. Percentages
Formative check-in
* Computation with integers substrand * Fractions, decimals and percentages substrand
2 01 Percentage, decimal and fraction conversion 1 day
2 02 Find the whole 1 day
2 03 Percentage increase and decrease
MA4-FRC-C-01 6 MA4-FRC-C-01 7 MA4-FRC-C-01 8
MA4-FRC-C-01 6 MA4-FRC-C-01 7 MA4-FRC-C-01 8
5
MA4-FRC-C-01 2 MA4-FRC-C-01 3 MA4-FRC-C-01 4
3
4
3
MA4-INT-C-01 1
MA4-FRC-C-01 4
MA4-FRC-C-01 6
MA4-FRC-C-01 9
MA4-FRC-C-01 10
MA4-FRC-C-01 9 MA4-FRC-C-01 10 Formative check-in and growth day (recommended)
INVESTIGATION - Percentages
2 04 Profit and loss 1 day
MA4-FRC-C-01 9
MA4-FRC-C-01 10
MA4-FRC-C-01 9
MA4-FRC-C-01 10
2 05 Consumer percentages 1 day MA4-FRC-C-01 10
Formative check-in Fractions, decimals and percentages substrand and Computation with integers substrand and Topic 2 Review
Topic 3. Ratios and rates
Formative check-in
* Ratios and rates substrand
3.01 Ratios
3 02 Maps and scale
3 03 Rates
check-in and growth day (recommended)
3 04 Financial rates
3.05 Best buys
3 06 Distance
check-in Ratios and rates and Topic 3 Review
Formative check-in * Computation with integers substrand
4 01 Elapsed time
4 02 12 and 24-hour time 1 day Background
4 03 Time zones and the date line
Topic 5. Algebra
5 01 Add and subtract algebraic terms
5
5.03 Simplify algebraic expressions
5 04 The distributive law
5 05 Numeric
check-in and growth day (recommended)
5 06 Algebraic factors
5 07 Substitution
check-in Algebraic techniques and Topic 5 Review
Topic 6. Equations and graphs
Formative check-in * Equations substrand * Linear relationships substrand 20mins
6 01 Solve equations
6 02 Linear Relationships
check-in and growth day (recommended)
6.03 Solve linear equations using a graph
6 04 Intersecting lines
3
2
3 Formative check-in and growth day (recommended)
6 05 Solve basic quadratics
3
Formative check-in Equations substrand, Linear relationships substrand and Topic 6 Review
Topic 7. Geometry
Formative check-in
* Angle relationships substrand
* Properties of geometrical figures substrand
7 01 Angles and triangles
7 02 Parallel lines and transversals
7 03 Reasoning with angle values and properties
check-in and growth day (recommended)
7 04 Classify triangles and quadrilaterals
INVESTIGATION: Sort shapes with algorithms 2
7 05 Apply the properties of quadrilaterals
Formative check-in Angle relationships substrand and Properties of geometrical figures substrand and Topic 7 Review
Topic 8. Pythagoras' theorem
Formative check-in
* Pythagoras and trigonometry substrand
8 01 Pythagoras' theorem
8 02 Find the hypotenuse
MA4-ANG-C-01.1
MA4-ANG-C-01.2 MA4-GEO-C-01 3
3
8 03 Find a short side 1 day MA4-PYT-C-01 2 Formative check-in and growth day (recommended)
- Proof of Pythagoras' theorem
8 04 Applications of Pythagoras' theorem
Formative check-in Pythagoras and trigonometry and Topic 8 Review
9 01 Perimeter
9 02 Circumference of a circle
9 03 Perimeter of composite shapes
2
2 Formative check-in Length substrand and Topic 9 Review
Topic 10. Area
10 03 Area of trapeziums, kites, and rhombuses
check-in and growth day (recommended)
10 04 Area of a circle
MA4-ARE-C-01.1
Formative check-in Area and surface area substrand and Topic 10 Review
Formative check-in * Data classification and visualisation substrand
Data analysis substrand
check-in and growth day (recommended)
13.04 Line graphs
13 05 Pictograms and infographics
13.06 Frequency histograms and polygons
check-in and growth day (recommended)
13 07 Describe the shape of data
13 08 Census and survey
3
MA4-DAT-C-01.2 MA4-DAT-C-01.3
3 INVESTIGATION - Plan and conduct statistical investigations
Formative check-in Data classification and visualisation substrand and Data analysis substrand and Topic 13 Review
MA4-DAT-C-02 1 MA4-DAT-C-02 3
NSW Year 9
Topic 1. Indices ~2.5 weeks core +0.5 weeks pathways
Formative check-in * Indices substrand
1.01C Multiplication law
1 02C Division law
1 03C Power of a power law
1.04C Zero and negative indices
Formative check-in and growth day
MA5-IND-C-01 1 MA5-IND-C-01 2 C
MA5-IND-C-01 1 MA5-IND-C-01.2 C
MA5-IND-C-01.1 MA5-IND-C-01 2 C
3 C
1.05P Negative indices with algebraic bases MA5-IND-P-01.1 P
1.06P Fractional indices
MA5-IND-P-02.3 P
INVESTIGATION: Construct irrational numbers Extension
Formative check-in and growth day
Formative check-in Indices substrand and Topic 1 Review
Topic 2. Surds (Pathways) ~0 weeks core +2 weeks pathways
Formative check-in
* Indices substrand
2.01P Simplify surds
2 02P Add and subtract surds
2 03P Multiply and divide surds
Formative check-in and growth day (supporting options)
2 04P Binomial expansions with surds
2 05P Rationalise the denominator
Formative check-in Indices substrand and Topic 2 Review
Topic 3. Algebraic fractions
Formative check-in
* Algebraic techniques substrand
P
2 P
2 P
2 P
2 P
~1.5 weeks core +1.5 weeks pathways
3.01C Algebra review Background C
3 02C Four operations with fractions Background C
3 03C Add and subtract fractions with numeric denominators
Formative check-in and growth day
3 04P Add and subtract fractions with algebraic denominators
3 05P Add and subtract further algebraic fractions
1 C
1 P
1 P
3 06C Multiply and divide algebraic fractions with numeric denominators
Formative check-in and growth day
3 07P Multiply and divide algebraic fractions with algebraic denominators
Formative check-in Algebraic techniques substrand and Topic 3 Review
Topic 4. Expand and factorise ~1.5 weeks core +0.5 weeks pathways
Formative check-in
* Algebraic techniques substrand
4 01C Distributive law
4.02C Binomial expansion
Formative check-in and growth day
4 03C Expand binomial products
1 C
MA5-ALG-P-01 1 P
2 C
C
2 C
4.04P Expand special products MA5-ALG-P-02.2 P
4 05P Algebraic factors
Formative check-in Algebraic techniques substrand and Topic 3 Review
Topic 5 Equations
Formative check-in
* Equations substrand
5 01C Two-step equations
5 02C Three-step equations
5 03C Variables on both sides
Formative check-in and growth day
5 04P Equations of more than 3 steps
2 P
5 weeks core +1 weeks pathways
2 C
MA5-EQU-C-01 1
MA5-EQU-C-01 2
MA5-EQU-C-01 3 C
MA5-EQU-C-01 1
MA5-EQU-C-01 2 MA5-EQU-C-01 3 C
MA5-EQU-P-02 1 P
5 05P Equations involving fractions MA5-EQU-P-02 1 P
Formative check-in and growth day (supporting pathway)
5 06P Rearrange equations
5 07C Model linear equations
INVESTIGATION: Calendar Equations
Formative check-in Equations substrand and Topic 5 Review
Topic 6 Linear graphs and equations
Formative check-in
* Linear relationships substrand
* Ratios and rates substrand
6 01C Linear relationships (change)
INVESTIGATION: Transformations of linear graphs
MA5-EQU-P-02 2 P
MA5-EQU-C-01 3
MA5-LIN-C-01 1 C
MA5-EQU-C-01 1
~3 weeks core +0 5 weeks pathways
MA5-LIN-C-01 3 C
MA5-LIN-P-01 3
6 02C Gradient of an interval
Formative check-in and growth day
6 03P Gradient formula
6 04C Gradient-intercept form
6.05C Horizontal and vertical lines
6 06C Parallel and perpendicular lines
Formative check-in and growth day
INVESTIGATION: Explore midpoint, gradient and distance on the plane
6 07C Midpoint of a segment
6 08P Midpoint formula
6 09C Distance between two points
6 10P Distance formula
Formative check-in and growth day
6 11P Other forms of linear equations
6 12C Linear models
6 13P Coordinate geometry problems
6 14P Rates of change
Formative check-in Linear relationships substrand, Ratios and rates substrand and Topic 6 Review
Topic 7. Transformations and congruence (Pathways)
Formative check-in
* Linear relationships substrand
* Properties of geometrical figures substrand
7.01P Transformation of shapes
7 02P Translations
7 03P Reflections
7 04P Rotations
7 05P Multiple transformations
Formative check-in and growth day
INVESTIGATION: Tessellations
7 06P Lines and points of symmetry
7 07P Transformations and congruence
7.08P Congruent triangles
Formative check-in Linear relationships substrand and Properties of geometrical figures substrand and Topic 7 Review
Topic 8 Scale and similarity (Pathways)
8 01C Transformations and similarity
8 02P Similar triangles
8 03C Scale factors
MA5-LIN-C-01 1 C
MA5-LIN-P-01 1 P
MA5-LIN-C-02 1 C
MA5-LIN-C-01.4 C
MA5-LIN-C-01 4
MA5-LIN-C-02 2 C
MA5-LIN-C-01.1
MA5-LIN-C-01.2
MA5-LIN-C-01 1 C
MA5-LIN-P-01 1 P
MA5-LIN-C-01 2 C
MA5-LIN-P-01 2 P
MA5-LIN-P-01 3 P
MA5-LIN-C-02 1 C
MA5-LIN-P-01 4 P
MA5-RAT-P-02 1 MA5-RAT-P-02 3 P
~0 weeks core +3 weeks pathways
MA5-LIN-P-01.6 P
MA5-LIN-P-01 6 P
MA5-LIN-P-01 6 P
MA5-LIN-P-01 6 P
MA5-LIN-P-01 6 P
MA5-LIN-P-01 6
MA5-LIN-P-01 5 P
MA5-GEO-P-01 1 P
MA5-GEO-P-01.2 P
MA5-GEO-C-01 1 C
MA5-GEO-P-01 3 P
MA5-GEO-C-01 2 C
Formative check-in and growth day (supporting pathways)
INVESTIGATION: Guessing distance
INVESTIGATION: Scale models
8.04P Scale and area
INVESTIGATION: Scale diagrams
2
4
P
8 05P Scale and volume MA5-GEO-P-01 4 P
INVESTIGATION: The triangle inequality Extension
Formative check-in Properties of geometrical figures substrand and Topic 8 Review
Topic 9. Trigonometry
Formative check-in
* Equations substrand
* Functions and other graphs (Path) substrand
~3 weeks core +1.5 weeks pathways
9 01C Pythagoras' theorem Background C
9 02C Similar right-angled triangles
9 03C Trigonometric ratios
9 04C Side lengths
9 05C Angles
9 06C Applications of trigonometry
Formative check-in and growth day
9 07C Angles of elevation and depression
9 08C Bearings
Formative check-in Right Angled Triangles substrand (Core) and Topic 9 Review
1 C
2 C
2 C
1
2 C
2 C
1 C
2 C
9.09P Pythagoras in 3D MA5-TRG-P-01.1 P
9 10P Trigonometry in 3D MA5-TRG-P-01 1 P
INVESTIGATION: 3D coordinate systems Extension
9 11P Sine and cosine rules MA5-TRG-P-01 2 P
Formative check-in Right Angled Triangles substrand (Path) and Topic 9 Review
Topic 10. Measurement
Formative check-in * Equations substrand
weeks core +0 weeks pathways
10 01C Area Background C
10 02C Area of composite shapes
10.03C Nets of prisms
1 C
C
10 04C Surface area of prisms MA5-ARE-C-01 1 C
10 05C Surface area of cylinders
INVESTIGATION: Volume versus area MA5-ARE-C-01 1 MA5-VOL-C-01 1
10 06C Volume of prisms
2 C
1 C
10 07C Volume of cylinders
Volume of composite solids
Formative check-in Equations substrand and Topic 10 Review
Topic 11. Probability
Formative check-in * Probability substrand
11 02C Arrays and simple tree diagrams
11.03P Venn diagrams and two-way tables
weeks core+0.5 weeks pathways
11 06C Independent and dependent events
INVESTIGATION: Simulation of compound events
Formative check-in Probability and Topic 11 Review
Topic 12. Univariate data
Formative check-in
03C Comparisons using standard deviation
check-in and growth day
12 05C The shape of data
Formative check-in and growth day
08P Sampling methods
- Random sampling
12 09P Samples and populations
2 P
2 P
12.10P Interpreting data MA5-DAT-P-01.2 P
INVESTIGATION: Plan and conduct statistical investigations
Formative check-in Data analysis substrand and Topic 12 Review
MA5-DAT-P-01.1
NSW Year 10
Topic 1 Numbers of any magnitude
Formative check-in
* Numbers of any magnitude substrand
1 01C Scientific notation
1 02C Prefixes for numbers
1 03C Accuracy of measurement
1 04C Estimation and accuracy
INVESTIGATION: Instruments and methods
Formative check-in Numbers of any magnitude substrand and Topic 1 Review
Topic 2. Finance
Formative check-in
* Financial mathematics substrand
INVESTIGATION: Finances
2.01C Cost, profit, revenue
2 02C PAYG and tax
2 03C Other income
Formative check-in and growth day (recommended)
2 04C Simple interest
2 05C Reinvesting with simple interest
Formative check-in and growth day (recommended)
2 06C Compound interest
2.07C Depreciation
Formative check-in Financial mathematics substrand and Topic 2 Review
Topic 3. Expand and factorise (pathways)
Formative check-in
* Algebraic techniques substrand
3 01P Expand binomial products
3 02P Expand special products
3 03P Expand and simplify algebraic expressions
Formative check-in and growth day (recommended)
3 04P Factorise binomial products
3.05P Factorise monic quadratic trinomials
3 06P Factorise non-monic quadratic trinomials
3 07P Factorise algebraic expressions
3 08P Simplify algebraic fractions with binomial denominators
3 09P Complete the square
Formative check-in Algebraic techniques & Equations substrand and Topic 3 Review
Topic 4. Simultaneous Equations (pathways)
Curriculum Outcomes Core/Pathways
MA5-MAG-C-01 4 C
MA5-MAG-C-01 1 C
MA5-MAG-C-01 2
MA5-MAG-C-01 3 C
MA5-MAG-C-01 3 C
MA5-MAG-C-01 3
MA5-FIN-C-01 3
MA5-FIN-C-01 1
MA5-FIN-C-01 3 C
MA5-FIN-C-01 1 C
MA5-FIN-C-01 1 C
MA5-FIN-C-01 1
MA5-FIN-C-01 2 C
MA5-FIN-C-01 2 C
MA5-FIN-C-01 3
MA5-FIN-C-02 1 C
MA5-FIN-C-02.1 C
MA5-ALG-P-01 3 P
MA5-ALG-P-02 2 P
MA5-ALG-P-02 2 P
MA5-ALG-P-01 3 P
MA5-ALG-P-01.3 P
MA5-ALG-P-02 2 P
MA5-ALG-P-02 2 P
MA5-ALG-P-02 2 P
MA5-EQU-P-02 3 P
Formative check-in
* Equations substrand
INVESTIGATION: Intersections of curves
4.01P Solve graphically
4 02P Identity and contradictions
4 03P Solve using substitution
4 04P Solve using elimination
4 05P Applications of simultaneous equations
Formative check-in Equations (path) substrand and Topic 4 Review
Topic 5. Linear inequalities (pathways)
Formative check-in
* Linear relationships substrand
* Equations substrand
5 01P Linear inequalities
5 02P Graph linear inequalities
5.03P Simultaneous inequalities
Formative check-in Functions & other graphs substrand and Topic 5 Review
Topic 6. Quadratic graphs
Formative check-in
* Non-linear relationships substrand
* Equations substrand
6 01C Quadratic relationships
6 02C Graphs and features of quadratics
6.03C Basic quadratics
6 04C Vertical translations
Formative check-in and growth day (recommended)
INVESTIGATION: Transformations of quadratics
6 05P Horizontal translations
6 06P Turning point form
6 07P Factorised form
6.08P Standard form
6 09P Quadratic graphs
Formative check-in Non-linear relationships substrand and Topic 5 Review
Topic 7. Quadratic equations (pathways)
MA5-EQU-P-02 4
MA5-EQU-P-02.4 P
MA5-EQU-P-02 4 P
MA5-EQU-P-02 4 P
MA5-EQU-P-02 4 P
MA5-EQU-P-02 4 P
MA5-EQU-P-01 3 P
MA5-FNC-P-01 3 P
MA5-FNC-P-01.3 P
MA5-NLI-C-01 1
MA5-NLI-C-02 1 C
MA5-NLI-C-02 1 C
MA5-NLI-C-01 1
MA5-NLI-C-02.1 C
MA5-NLI-C-01 1
MA5-NLI-C-02 1 C
MA5-NLI-P-01 1
MA5-NLI-P-01 1 P
MA5-NLI-P-01 1 P
MA5-NLI-P-01 1 P
MA5-NLI-P-01.1 P
MA5-NLI-P-01 1 P
7 01C Solve basic quadratic equations Background C
7 02P Graphical solutions to quadratics
7.03P Solve monic quadratic equations
7 04P Solve non-monic quadratic equations
7 05P Solve by completing the square
Formative check-in and growth day (recommended)
INVESTIGATION: Derive the quadratic formula
MA5-EQU-P-02 3 P
MA5-EQU-P-01.1 P
MA5-EQU-P-02 3 P
MA5-EQU-P-02 3 P
MA5-EQU-P-02 3
7 06P The quadratic formula
7.07P The discriminant
7 08P Further quadratic equations
Formative check-in Equations (path) substrand and Topic 7 Review
Topic 8. Introduction to functions (pathways)
Formative check-in
* Functions substrand
6 01P Define relations and functions
6 02P Domain and range
6 03P Graphs of x^n
6.04P Transformation of functions
Formative check-in Functions substrand and Topic 6 Review
Topic 9. Exponentials
Formative check-in
* Non-linear relationships substrand
* Logarithms substrand
9.01C Exponential relationships
9 02C Characteristics of exponential graphs
9 03C Linear, quadratic or exponential relationships
Formative check-in and growth day (recommended)
INVESTIGATION: Half-life
9 04P Transformations of exponentials
9 05P Exponential equations
9.06E Exponential equations
Formative check-in Non-linear relationships substrand and Logarithms substrand and Topic 9 Review
Topic 10 Logarithms (pathways)
Formative check-in
* Logarithms substrand
10 01P Logarithms
10 02P Order of magnitude and logarithmic scales
10 03P Other bases
Formative check-in and growth day (recommended)
INVESTIGATION: Logarithms
10 04P Logarithm laws
10 05P The inverse relationship between exponentials and logarithms
10 06P Solve exponential equations with logarithms
Formative check-in Logarithms substrand and Topic 8 Review
Topic 11. Circles (pathways)
Formative check-in
* Non-linear relationships substrand
INVESTIGATION: Circles
11 01P Circles at origin
11.02P Transformations of circles
INVESTIGATION: Equation of any circle
MA5-EQU-P-02 3 P
MA5-EQU-P-02.3 P
MA5-EQU-P-02 3 P
MA5-FNC-P-01 1 P
MA5-FNC-P-01 2 P
MA5-NLI-P-01 6 P
MA5-FNC-P-01.2 P
MA5-NLI-C-01.1 C
MA5-NLI-C-02 2 C
MA5-NLI-C-02 3 C
MA5-NLI-C-01 1
MA5-NLI-C-02 2
MA5-NLI-P-01 2 P
MA5-LOG-P-01 2 P
Extension
MA5-LOG-P-01 1 P
MA5-LOG-P-01 2 P
MA5-LOG-P-01 1 P
MA5-LOG-P-01.2
MA5-LOG-P-01 2 P
MA5-LOG-P-01 1 P
MA5-LOG-P-01 2 P
MA5-NLI-P-01 4
MA5-NLI-P-01 4 P
MA5-NLI-P-01.4 P
MA5-NLI-P-01 4
11 03P Transform circle equations
Formative check-in Non-linear relationships substrand and Topic 11 Review
Topic 12. Hyperbolas (pathways)
Formative check-in
* Non-linear relationships substrand
* Ratios and rates substrand
INVESTIGATION: Hyperbolas
12 01P Direct and indirect proportion
12 02P Hyperbolas
12 03P Transformations of hyperbolas
Formative check-in Non-linear relationships substrand and Variation and rates substrand and Topic 12 Review
Topic 13 Functions and polynomials
Formative check-in
* Polynomials substrand
* Linear relationships substrand
* Ratios and rates substrand
* Non-linear relationships
13 01P Operate with polynomials
13 02P Polynomial division
Formative check-in and growth day (recommended)
13 03P Factor and remainder theorem
13.04P Graph polynomials in factored forms
13 05P Line and rotational symmetry of graphs
Formative check-in and growth day (recommended)
13 06P Variable rates of change
13 07P Intersections of curves
Formative check-in Polynomials, Linear Relationships, Variation and Rates, Non-Linear relationships & Equations Substrands and Topic 13 Review
Topic 14. Geometric proofs (Pathways)
Formative check-in
* Properties of geometrical figures substrand
* Circle geometry (Path) substrand
14 01P Reasoning with plane shapes
14 02P Congruent triangles
14.03P Proofs involving similar triangles
14 04P Further geometric proofs
Formative check-in and growth day (recommended)
14 05P Circles and chords
14 06P Angles in circles
14.07P Tangents
Formative check-in Properties of geometrical figures substrand and Circle geometry (Path) substrand and Topic 14 Review
Topic 15 Further trigonometry (Pathways)
MA5-NLI-P-01 4 P
MA5-NLI-P-01 3
MA5-RAT-P-01 1
MA5-RAT-P-01 2
MA5-RAT-P-01 3 P
MA5-NLI-P-01 3 P
MA5-NLI-P-01 3 P
MA5-POL-P-01 1 P
MA5-POL-P-01 2 P
MA5-POL-P-01 3 P
MA5-POL-P-01.4 P
MA5-LIN-P-01 5 P
MA5-RAT-P-02 1
MA5-RAT-P-02 3 P
MA5-EQU-P-02 4
MA5-NLI-P-01 5 P
MA5-GEO-P-01 5 P
MA5-GEO-P-02 1 P
MA5-GEO-P-02.1 P
MA5-GEO-P-02 2 P
MA5-CIR-P-01 1 P
MA5-CIR-P-01 1 P
MA5-CIR-P-01.2 P
Formative check-in
* Trigonometry substrand
15 01P The unit circle
15.02P Angles with exact values
Formative check-in and growth day (recommended)
15 03P Graphs of sine and cosine
15 04P Trigonometric equations
15 05P Gradient of a line using trigonometry
Formative check-in Trigonometry substrand and Topic 15 Review
Topic 16. Measurement (Pathways)
Formative check-in
* Area and surface area substrand
* Volume substrand
16 01P Surface area of pyramids and cones
16.02P Surface area of spheres
16 03P Surface area of composite solids
INVESTIGATION: Rainfall collection
Formative check-in and growth day (recommended)
16 04P Volume of pyramids and cones
16.05P Volume of spheres
16 06P Volume of composite solids
Formative check-in Area and surface area substrand and Volume substrand
Topic 16 Review
Topic 17. Networks (Pathways)
Formative check-in
* Introduction to networks (Path) substrand
17 01P Introduction to networks
17 02P Network representations
17 03P Paths
Formative check-in and growth day (recommended)
17 04P Connectivity
INVESTIGATION: Traversing networks
17 05P Planar graphs
Formative check-in Introduction to networks (Path) substrand and Topic 17 Review
Topic 18. Probability
Formative check-in
* Probability substrand
INVESTIGATION: Simulation
18 01P Conditional probability
18 02C Mixed probability concepts
Formative check-in and growth day (recommended)
18 03P Venn diagrams and two-way tables
18 04P Geometric probability
MA5-TRG-P-02 1 P
MA5-TRG-P-02.2 P
MA5-TRG-P-02 1 P
MA5-TRG-P-02 2 P
MA5-TRG-P-02 1 P
MA5-ARE-P-01 1 P
MA5-ARE-P-01.1 P
MA5-ARE-P-01 1 P
MA5-VOL-C-01 1
MA5-VOL-P-01 1 P
MA5-VOL-P-01.1 P
MA5-VOL-P-01 1 P
MA5-NET-P-01 1 P
MA5-NET-P-01 1 P
MA5-NET-P-01 1
MA5-NET-P-01 3 P
MA5-NET-P-01 3 P
MA5-NET-P-01.2
MA5-NET-P-01.3
MA5-NET-P-01 2 P
MA5-PRO-C-01 3
MA5-PRO-P-01 2 P
MA5-PRO-C-01 1
MA5-PRO-C-01 2 C
MA5-PRO-P-01 1 P
MA5-PRO-P-01 2 P
MA5-PRO-P-01 3
Formative check-in Probability substrand and Topic 18 Review
Topic 19 Bivariate data
Formative check-in
* Data analysis substrand
19 01C Two-way tables Background C
19 02C Associations between categorical variables
19 03C Bivariate numerical data
Formative check-in and growth day (recommended)
19.04C Associations between numerical variables
19 05C Line of best fit
19 06C Interpolation and extrapolation
Formative check-in and growth day (recommended)
19 07P Misrepresentations of data
INVESTIGATION: Statistics in the media
INVESTIGATION: Statistical investigation
Formative check-in Data analysis substrand and Topic 19 Review
MA5-DAT-C-02 1 C
MA5-DAT-C-02 1
MA5-DAT-C-02 2 C
MA5-DAT-C-02.1 C
MA5-DAT-C-02 2
MA5-DAT-C-02 3 C
MA5-DAT-C-02 3 C
MA5-DAT-P-01 2 P
MA5-DAT-P-01 2
MA5-DAT-P-01 1