1: Number and Algebra

1.1: Number and place value

1.1.1: Use index notation with numbers to establish the index laws with positive integral indices and the zero index

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

1.2: Real numbers

1.2.3: Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies

Percent of Change
Percents, Fractions, and Decimals
Real-Time Histogram
Time Estimation

1.2.4: Solve a range of problems involving rates and ratios, with and without digital technologies

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

1.3: Money and financial mathematics

1.3.1: Solve problems involving profit and loss, with and without digital technologies

Household Energy Usage
Percent of Change

1.4: Patterns and algebra

1.4.1: Extend and apply the distributive law to the expansion of algebraic expressions

Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Using Algebraic Equations

1.4.2: Factorise algebraic expressions by identifying numerical factors

Factoring Special Products
Modeling the Factorization of ax2+bx+c
Simplifying Algebraic Expressions II

1.4.3: Simplify algebraic expressions involving the four operations

Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Multiplying Exponential Expressions
Order of Operations
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

1.5: Linear and non-linear relationships

1.5.1: Plot linear relationships on the Cartesian plane with and without the use of digital technologies

Linear Functions
Points, Lines, and Equations
Slope-Intercept Form of a Line

2: Measurement and Geometry

2.1: Using units of measurement

2.1.1: Choose appropriate units of measurement for area and volume and convert from one unit to another

Unit Conversions

2.1.3: Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area

Chords and Arcs
Circumference and Area of Circles
Inscribed Angles

2.1.4: Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume

Prisms and Cylinders

2.2: Geometric reasoning

2.2.1: Define congruence of plane shapes using transformations

Rock Art (Transformations)
Rotations, Reflections, and Translations

2.2.2: Develop the conditions for congruence of triangles

Congruence in Right Triangles
Proving Triangles Congruent

2.2.3: Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

Classifying Quadrilaterals
Parallelogram Conditions
Special Parallelograms

3: Statistics and Probability

3.1: Chance

3.1.1: Identify complementary events and use the sum of probabilities to solve problems

Estimating Population Size
Geometric Probability
Independent and Dependent Events
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

3.1.2: Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'.

Independent and Dependent Events
Theoretical and Experimental Probability

3.1.3: Represent such events in two-way tables and Venn diagrams and solve related problems

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Points, Lines, and Equations

3.2: Data representation and interpretation

3.2.3: Investigate the effect of individual data values, including outliers, on the mean and median ACARA

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

Correlation last revised: 9/16/2020

* Copyright 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

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