Australian Curriculum

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

1.2.3: 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)

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

Household Energy Usage

Percent of Change

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 *ax*^{2}+*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

1.5.1: 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

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

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

2.2.1: Define congruence of plane shapes using transformations

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

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

3.1.1: 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

3.2.3: 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: 1/22/2020

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