Australian Curriculum

1.1.2: Investigate and use square roots of perfect square numbers

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

1.1.3: Apply the associative, commutative and distributive laws to aid mental and written computation

Adding and Subtracting Integers

Chocomatic (Multiplication, Arrays, and Area)

Square Roots

1.1.4: Compare, order, add and subtract integers

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

1.2.2: Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

Adding Fractions (Fraction Tiles)

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

1.2.3: Multiply and divide fractions and decimals using efficient written strategies and digital technologies

Dividing Fractions

Dividing Mixed Numbers

Multiplying Mixed Numbers

Multiplying with Decimals

Square Roots

1.2.6: Connect fractions, decimals and percentages and carry out simple conversions

Percents, Fractions, and Decimals

1.2.7: Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

Percent of Change

Percents and Proportions

1.2.8: Recognise and solve problems involving simple ratios

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: Investigate and calculate 'best buys', with and without digital technologies

1.4.1: Introduce the concept of variables as a way of representing numbers using letters

1.4.3: Extend and apply the laws and properties of arithmetic to algebraic terms and expressions

Compound Interest

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations on the Number Line

Using Algebraic Equations

1.5.1: Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

1.5.2: Solve simple linear equations

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Two-Step Equations

2.1.1: Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

2.1.2: Calculate volumes of rectangular prisms

2.3.1: Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries

Dilations

Rotations, Reflections, and Translations

2.4.1: Classify triangles according to their side and angle properties and describe quadrilaterals

Classifying Quadrilaterals

Classifying Triangles

Special Parallelograms

2.4.2: Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

Isosceles and Equilateral Triangles

Polygon Angle Sum

Triangle Angle Sum

3.1.1: Construct sample spaces for single-step experiments with equally likely outcomes

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

3.1.2: Assign probabilities to the outcomes of events and determine probabilities for events

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

3.2.2: Construct and compare a range of data displays including stem-and-leaf plots and dot plots

Box-and-Whisker Plots

Correlation

Graphing Skills

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

3.2.3: Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

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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