Mathematics – Australia – Australian Curriculum

• Number and place value
• ACMNA122 – Identify and describe properties of prime, composite, square and triangular numbers

• 9 learning outcomes – click to view

Samples: Square root. Prime and Composite Numbers. Identifying prime numbers. Identifying prime numbers < 100 (puzzle).

• Square root

• Activities: 1 course, 0 extra
• Prime and Composite Numbers

• Activities: 1 course, 0 extra
• Identifying prime numbers

• Activities: 1 course, 0 extra
• Identifying prime numbers < 100 (puzzle)

• Activities: 1 course, 0 extra
• Identifying prime numbers

• Activities: 1 course, 0 extra
• Index notation.

• Activities: 3 course, 3 extra
• Index notation

• Activities: 1 course, 0 extra
• Square roots

• Activities: 3 course, 0 extra
• Square roots

• Activities: 1 course, 0 extra
• ACMNA123 – Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers

• 80 learning outcomes – click to view

Samples: Large numbers presented in tables. Reading large numbers. Write numbers – over one million (common).

• Large numbers presented in tables

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• Write numbers – over one million (common)

• Activities: 1 course, 0 extra
• Write numbers – over one million

• Activities: 1 course, 0 extra
• Comparing numbers of any size

• Activities: 1 course, 0 extra
• Challenge puzzle - flow diagram

• Activities: 1 course, 0 extra
• Square root

• Activities: 1 course, 0 extra
• Negative numbers - an introduction

• Activities: 1 course, 1 extra
• Prime and Composite Numbers

• Activities: 1 course, 0 extra
• Order of Operations

• Activities: 1 course, 0 extra
• Continuing Patterns

• Activities: 1 course, 0 extra
• Simplifying Ratios

• Activities: 1 course, 0 extra
• Calculating Equivalent Ratios

• Activities: 1 course, 0 extra
• Simplifying Ratios involving Units

• Activities: 1 course, 0 extra
• Numbers

• Activities: 1 course, 0 extra
• Problem Solving - Unitary Method

• Activities: 1 course, 0 extra
• Integers on a Number Line

• Activities: 1 course, 0 extra
• Addition and Subtraction - problem solving

• Activities: 3 course, 0 extra
• How many factors?

• Activities: 1 course, 0 extra
• Identifying factors

• Activities: 1 course, 0 extra
• Identifying prime numbers

• Activities: 1 course, 0 extra
• Identifying prime numbers < 100 (puzzle)

• Activities: 1 course, 0 extra
• Identifying prime numbers

• Activities: 1 course, 0 extra
• Multiplying by multiples of 10

• Activities: 2 course, 3 extra
• Long Multiplication

• Activities: 4 course, 2 extra
• Long Multiplication - problem solving

• Activities: 2 course, 5 extra
• Index notation.

• Activities: 3 course, 3 extra
• Index notation

• Activities: 1 course, 0 extra
• Square roots

• Activities: 3 course, 0 extra
• Square roots

• Activities: 1 course, 0 extra
• Revision

• Activities: 5 course, 3 extra
• Dividing whole numbers by 100 and 1000

• Activities: 3 course, 0 extra
• Division (estimation)

• Activities: 2 course, 0 extra
• Division - large numbers

• Activities: 2 course, 1 extra
• Division - large numbers - problem solving

• Activities: 2 course, 4 extra
• Division puzzle

• Activities: 1 course, 0 extra
• Division - problem solving

• Activities: 1 course, 0 extra
• Long division

• Activities: 2 course, 0 extra
• Long division - problem solving

• Activities: 1 course, 5 extra
• Balancing equations - Equivalent number sentences

• Activities: 5 course, 2 extra
• Challenge puzzle - balancing equations

• Activities: 1 course, 0 extra
• Order of operations : Multiply before adding

• Activities: 3 course, 0 extra
• Order of operations - Multiply before subtracting

• Activities: 2 course, 0 extra
• Order of operations - mixed

• Activities: 4 course, 0 extra
• Mentals 109

• Activities: 1 course, 0 extra
• Mentals 110

• Activities: 1 course, 0 extra
• Mentals 111

• Activities: 1 course, 0 extra
• Mentals 112

• Activities: 1 course, 0 extra
• Mentals 113

• Activities: 1 course, 0 extra
• Mentals 114

• Activities: 1 course, 0 extra
• Mentals 115

• Activities: 1 course, 0 extra
• Mentals 116

• Activities: 1 course, 0 extra
• Mentals 117

• Activities: 1 course, 0 extra
• Mentals 118

• Activities: 1 course, 0 extra
• Mentals 119

• Activities: 1 course, 0 extra
• Mentals 120

• Activities: 1 course, 0 extra
• Mentals 121

• Activities: 1 course, 0 extra
• Mentals 122

• Activities: 1 course, 0 extra
• Mentals 123

• Activities: 1 course, 0 extra
• Mentals 124

• Activities: 1 course, 0 extra
• Mentals 125

• Activities: 1 course, 0 extra
• Mentals 126

• Activities: 1 course, 0 extra
• Mentals 127

• Activities: 1 course, 0 extra
• Mentals 128

• Activities: 1 course, 0 extra
• Mentals 129

• Activities: 1 course, 0 extra
• Mentals 130

• Activities: 1 course, 0 extra
• Mentals 131

• Activities: 1 course, 0 extra
• Mentals 132

• Activities: 1 course, 0 extra
• Mentals 133

• Activities: 1 course, 0 extra
• Mentals 134

• Activities: 1 course, 0 extra
• Mentals 135

• Activities: 1 course, 0 extra
• Mentals 136

• Activities: 1 course, 0 extra
• Mentals 137

• Activities: 1 course, 0 extra
• Mentals 138

• Activities: 1 course, 0 extra
• Mentals 139

• Activities: 1 course, 0 extra
• Mentals 140

• Activities: 1 course, 0 extra
• Mentals 141

• Activities: 1 course, 0 extra
• Mentals 142

• Activities: 1 course, 0 extra
• Mentals 143

• Activities: 1 course, 0 extra
• Mentals 144

• Activities: 1 course, 0 extra
• ACMNA124 – Investigate everyday situations that use positive and negative whole numbers and zero. Locate and represent these numbers on a number line

• 10 learning outcomes – click to view

Samples: Negative numbers. Numbers. Problem Solving - Unitary Method. Integers on a number line. Addition and Subtraction.

• Negative numbers - an introduction

• Activities: 1 course, 1 extra
• Numbers

• Activities: 1 course, 0 extra
• Problem Solving - Unitary Method

• Activities: 1 course, 0 extra
• Integers on a Number Line

• Activities: 1 course, 0 extra
• Addition and Subtraction - problem solving

• Activities: 3 course, 0 extra
• Long Multiplication - problem solving

• Activities: 2 course, 5 extra
• Revision

• Activities: 5 course, 3 extra
• Division - large numbers - problem solving

• Activities: 2 course, 4 extra
• Division - problem solving

• Activities: 1 course, 0 extra
• Long division - problem solving

• Activities: 1 course, 5 extra
• Fractions and decimals
• ACMNA125 – Compare fractions with related denominators and locate and represent them on a number line

• 12 learning outcomes – click to view

Samples: Equivalence to a half - identifying the numerator. Compare fractions to a half.

• Equivalence to a half - identifying the numerator

• Activities: 1 course, 0 extra
• Compare fractions to a half

• Activities: 1 course, 0 extra
• Comparing fractions - identify the smallest

• Activities: 1 course, 0 extra
• Comparing fractions - identify the largest

• Activities: 1 course, 0 extra
• Comparing fractions (< = >)

• Activities: 1 course, 0 extra
• Calculating equivalent fractions

• Activities: 4 course, 6 extra
• Reducing fractions to their simplest form.

• Activities: 2 course, 2 extra
• Convert improper fractions to mixed numbers

• Activities: 2 course, 0 extra
• Converting mixed numbers to improper frac.

• Activities: 2 course, 0 extra
• Simplifying answers to their lowest form

• Activities: 1 course, 0 extra
• Solving (by division) improper fractions

• Activities: 1 course, 0 extra
• Converting improper fractions to mixed fractions (in equations)

• Activities: 1 course, 0 extra
• ACMNA126 – Solve problems involving addition and subtraction of fractions with the same or related denominators

• 6 learning outcomes – click to view

Samples: Adding and Subtracting Related Fractions. Addition of fractions with unlike denominators (with clues).

• Addition and subtraction of related fractions.

• Activities: 4 course, 0 extra
• Addition of fractions with unlike denominators (with clues)

• Activities: 1 course, 0 extra
• Addition of fractions with unlike denominators

• Activities: 1 course, 0 extra
• Subtraction of fractions (unlike denominators)

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• ACMNA127 – Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies

• 11 learning outcomes – click to view

Samples: Fractions of numbers. Simple Quantities (fractions of whole numbers). Fractions of numbers - 1.

• Fractions of numbers

• Activities: 1 course, 0 extra
• Simple fractions of quantities

• Activities: 6 course, 0 extra
• Simple fractions of quantities - problem solving

• Activities: 2 course, 2 extra
• Calculating percentages

• Activities: 3 course, 1 extra
• Dividing whole numbers by fractions

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• Division - Answers as fractions

• Activities: 1 course, 0 extra
• Multiplying Fractions

• Activities: 1 course, 2 extra
• Percentages

• Activities: 4 course, 0 extra
• Multiplying fractions

• Activities: 1 course, 0 extra
• Divide whole numbers by fractions

• Activities: 1 course, 0 extra
• ACMNA128 – Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers

• 4 learning outcomes – click to view

Samples: Rounding Decimals to Whole Numbers. Representing Fractions As Percentage. Adding Decimals. Subtracting Decimals.

• Rounding Decimals to Whole Numbers

• Activities: 1 course, 0 extra
• Matching fractions, decimals and percentages.

• Activities: 3 course, 1 extra

• Activities: 5 course, 1 extra
• Subtracting decimals

• Activities: 5 course, 0 extra
• ACMNA129 – Multiply decimals by whole numbers and perform divisions that result in terminating decimals, with and without digital technologies

• 2 learning outcomes – click to view

Samples: Dividing Whole Numbers by 10. Multiplying Decimals By A Single Digit Number. Dividing a whole number by 10.

• Dividing whole numbers by 10

• Activities: 4 course, 0 extra
• Multiplying decimals by a whole number

• Activities: 3 course, 4 extra
• ACMNA130 – Multiply and divide decimals by powers of 10

• 3 learning outcomes – click to view

Samples: Dividing Whole Numbers by 10. Multiplying Decimals By 10. Multiplying decimals by 1000.

• Dividing whole numbers by 10

• Activities: 4 course, 0 extra
• Multiplying decimals by 10

• Activities: 2 course, 0 extra
• Multiplying decimals by 1000

• Activities: 1 course, 0 extra
• ACMNA131 – Make connections between equivalent fractions, decimals and percentages

• 1 learning outcomes – click to view

Samples: Representing Fractions As Percentage. Matching fractions, percentages and decimals: Activity 1.

• Matching fractions, decimals and percentages.

• Activities: 3 course, 1 extra
• Money and financial mathematics
• ACMNA132 – Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies

• 12 learning outcomes – click to view

Samples: Calculations involving money. Calculate cost according to mass, length or volume. Money. Calculating Best Buy.

• Calculations involving money

• Activities: 1 course, 0 extra
• Calculate cost according to mass, length or volume

• Activities: 1 course, 0 extra
• Money

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• Calculating discounts

• Activities: 1 course, 0 extra
• Two step calculations(money)

• Activities: 1 course, 0 extra
• Profit and loss

• Activities: 1 course, 0 extra
• Calculating interest on loans

• Activities: 1 course, 0 extra
• Understanding loans

• Activities: 1 course, 0 extra
• Understanding expenditure - My Cell Phone

• Activities: 1 course, 0 extra
• Calculating discounts

• Activities: 1 course, 0 extra
• Understanding invoices

• Activities: 1 course, 0 extra
• Patterns and algebra
• ACMNA133 – Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence

• 13 learning outcomes – click to view

Samples: Multiplying By Multiples Of 10. Equivalence to a half - identifying the numerator. Equivalent Fractions.

• Multiplying by multiples of 10

• Activities: 2 course, 3 extra
• Equivalence to a half - identifying the numerator

• Activities: 1 course, 0 extra
• Calculating equivalent fractions

• Activities: 4 course, 6 extra
• Reducing fractions to their simplest form.

• Activities: 2 course, 2 extra
• Dividing whole numbers by 10

• Activities: 4 course, 0 extra
• Matching fractions, decimals and percentages.

• Activities: 3 course, 1 extra
• Multiplying decimals by 10

• Activities: 2 course, 0 extra
• Multiplying decimals by a whole number

• Activities: 3 course, 4 extra
• Multiplying decimals by 1000

• Activities: 1 course, 0 extra
• Applying rules to number tables

• Activities: 1 course, 0 extra
• Identifying expressions

• Activities: 1 course, 1 extra
• Continuing number sequences

• Activities: 1 course, 6 extra
• Introducing variables

• Activities: 5 course, 0 extra
• ACMNA134 – Explore the use of brackets and order of operations to write number sentences

• 5 learning outcomes – click to view

Samples: Balancing equations Addition of larger numbers. Challenge puzzle - balancing equations.

• Balancing equations - Equivalent number sentences

• Activities: 5 course, 2 extra
• Challenge puzzle - balancing equations

• Activities: 1 course, 0 extra
• Order of operations : Multiply before adding

• Activities: 3 course, 0 extra
• Order of operations - Multiply before subtracting

• Activities: 2 course, 0 extra
• Order of operations - mixed

• Activities: 4 course, 0 extra
• Using units of measurement
• ACMMG135 – Connect decimal representations to the metric system

• ACMMG136 – Convert between common metric units of length, mass and capacity

• 17 learning outcomes – click to view

Samples: Multiply a decimal number by 1000. Converting between units of length. Converting from kilograms to grams.

• Multiply a decimal number by 1000

• Activities: 1 course, 0 extra
• Converting between metric units of length.

• Activities: 1 course, 7 extra
• Converting from kilograms to grams

• Activities: 1 course, 0 extra
• Converting from tonnes to kilograms

• Activities: 1 course, 0 extra
• Dividing numbers by 1000 (numbers > 1000)

• Activities: 1 course, 0 extra
• Dividing numbers by 1000 (numbers < 1000)

• Activities: 1 course, 0 extra
• Converting from grams to kilograms

• Activities: 2 course, 0 extra
• Convert units of mass - between kilograms and grams

• Activities: 5 course, 3 extra
• Converting from kilograms to tonnes

• Activities: 1 course, 0 extra
• Convert units of mass - between kilograms and tonnes

• Activities: 2 course, 2 extra
• Convert between units of mass

• Activities: 1 course, 0 extra
• Common measurement fractions

• Activities: 1 course, 0 extra
• Converting between litres and millilitres (both ways)

• Activities: 1 course, 0 extra
• ACMMG137 – Solve problems involving the comparison of lengths and areas using appropriate units

• 9 learning outcomes – click to view

Samples: Length - using decimals and matching equivalence. Length. Calculating distance in miles tutorial. Length and Money.

• Using decimals and matching equivalence.

• Activities: 1 course, 0 extra
• Length - problem solving

• Activities: 4 course, 4 extra
• Distances on maps.

• Activities: 2 course, 0 extra
• Length and Money - problem solving

• Activities: 1 course, 0 extra
• Area of irregular shapes

• Activities: 3 course, 1 extra
• Area

• Activities: 1 course, 0 extra
• Challenge Puzzle - area of irregular shapes

• Activities: 1 course, 0 extra
• Area and money

• Activities: 1 course, 0 extra
• Area

• Activities: 1 course, 5 extra
• ACMMG138 – Connect volume and capacity and their units of measurement

• 16 learning outcomes – click to view

Samples: Comparing volume - pints, quarts and gallons tutorial. Volume. Cubic metres. Cubic Cm Rectangular Prism.

• Volume and Capacity

• Activities: 2 course, 4 extra
• Volume

• Activities: 1 course, 0 extra
• The cubic metre

• Activities: 1 course, 0 extra
• Volume of rectangular prisms

• Activities: 3 course, 2 extra
• Connect volume (cm3) to capacity (mL)

• Activities: 1 course, 0 extra
• Volume

• Activities: 1 course, 0 extra
• Volume and money

• Activities: 1 course, 0 extra
• Estimating mass (animals)

• Activities: 1 course, 0 extra
• Cost of food according to mass

• Activities: 1 course, 0 extra
• Mass

• Activities: 1 course, 0 extra
• Mass

• Activities: 1 course, 0 extra
• Mass and Money

• Activities: 1 course, 0 extra
• Calculations involving mass

• Activities: 1 course, 0 extra
• Reading scales and calculating costs

• Activities: 1 course, 0 extra
• Mass printables (extension)

• Activities: 0 course, 6 extra
• ACMMG139 – Interpret and use timetables

• 2 learning outcomes – click to view

Samples: Interpret timetables. Time. Time Problem Solving.

• Interpret timetables

• Activities: 1 course, 1 extra
• Time

• Activities: 1 course, 0 extra
• Shape
• ACMMG140 – Construct simple prisms and pyramids

• 2 learning outcomes – click to view

Samples: Naming prisms and pyramids. Challenge Puzzle - prisms and pyramids. Prisms and pyramids. Naming prisms and pyramids.

• Identifying properties and naming prisms and pyramids

• Activities: 2 course, 8 extra
• Challenge Puzzle - prisms and pyramids

• Activities: 1 course, 0 extra
• Location and transformation
• ACMMG142 – Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies

• 1 learning outcomes – click to view

Samples: Combinations of translations, reflections and rotations.

• Identify combinations of translations, reflections and rotations.

• Activities: 1 course, 0 extra
• ACMMG143 – Introduce the Cartesian coordinate system using all four quadrants

• 1 learning outcomes – click to view

Samples: Cartesian coordinate system: Activity 1. Cartesian coordinate system: Activity 2.

• Use the cartesian coordinate system to identify location.

• Activities: 2 course, 2 extra
• Geometric reasoning
• ACMMG141 – Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles

• 9 learning outcomes – click to view

Samples: Angles within a circle.  Identifying angles at intersecting lines. Naming angles within shapes.

• Angles within a circle

• Activities: 1 course, 0 extra
• Classify angles by naming them.

• Activities: 4 course, 1 extra
• Naming angles within shapes

• Activities: 1 course, 0 extra
• Measure and classify angles.

• Activities: 1 course, 2 extra
• Estimating, measuring and comparing angles

• Activities: 2 course, 0 extra
• Angle sum of straight lines, triangles and quadrilaterals.

• Activities: 1 course, 4 extra
• Challenge puzzle - angles

• Activities: 1 course, 0 extra
• Naming triangles

• Activities: 1 course, 1 extra
• Parts of a Circle

• Activities: 4 course, 0 extra
• Chance
• ACMSP144 – Describe probabilities using fractions, decimals and percentages

• 4 learning outcomes – click to view

Samples: Probability decimals: Activity 1. Chance. Probability Percentages: Activity 1. Probability - fractions.

• Describe probabilities using decimals.

• Activities: 2 course, 0 extra
• Chance

• Activities: 1 course, 0 extra
• Describe probabilities using percentages.

• Activities: 3 course, 1 extra
• Describe probabilities using fractions.

• Activities: 1 course, 2 extra
• ACMSP145 – Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies

• 7 learning outcomes – click to view

Samples: Chance Fraction. Chance. Chance from 0 to 1. Probability decimals: Activity 1. Chance.

• Represent chance using fractions.

• Activities: 1 course, 4 extra
• Chance

• Activities: 1 course, 0 extra
• Recognise that probabilities range from 0 to 1.

• Activities: 1 course, 0 extra
• Describe probabilities using decimals.

• Activities: 2 course, 0 extra
• Chance

• Activities: 1 course, 0 extra
• Describe probabilities using percentages.

• Activities: 3 course, 1 extra
• Describe probabilities using fractions.

• Activities: 1 course, 2 extra
• ACMSP146 – Compare observed frequencies across experiments with expected frequencies

• 7 learning outcomes – click to view

Samples: Chance Fraction. Chance. Chance from 0 to 1. Probability decimals: Activity 1. Chance.

• Represent chance using fractions.

• Activities: 1 course, 4 extra
• Chance

• Activities: 1 course, 0 extra
• Recognise that probabilities range from 0 to 1.

• Activities: 1 course, 0 extra
• Describe probabilities using decimals.

• Activities: 2 course, 0 extra
• Chance

• Activities: 1 course, 0 extra
• Describe probabilities using percentages.

• Activities: 3 course, 1 extra
• Describe probabilities using fractions.

• Activities: 1 course, 2 extra
• Data representation and interpretation
• ACMSP147 – Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables

• 10 learning outcomes – click to view

Samples: Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.

• Graphs

• Activities: 1 course, 0 extra
• Interpret data presented in column graphs

• Activities: 1 course, 0 extra
• Interpret dot plots

• Activities: 1 course, 1 extra
• Interpret data presented using a simple pie graph

• Activities: 1 course, 0 extra
• Interpret data presented in a spreadsheet

• Activities: 1 course, 1 extra
• Interpret and compare data presented using a column graph

• Activities: 1 course, 2 extra
• Interpret dot plots

• Activities: 1 course, 0 extra
• Interpret line graphs

• Activities: 1 course, 0 extra
• Interpreting pie graphs

• Activities: 1 course, 0 extra
• Interpret data presented using a pie graph

• Activities: 1 course, 7 extra
• ACMSP148 – Interpret secondary data presented in digital media and elsewhere

• 10 learning outcomes – click to view

Samples: Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.

• Graphs

• Activities: 1 course, 0 extra
• Interpret data presented in column graphs

• Activities: 1 course, 0 extra
• Interpret dot plots

• Activities: 1 course, 1 extra
• Interpret data presented using a simple pie graph

• Activities: 1 course, 0 extra
• Interpret data presented in a spreadsheet

• Activities: 1 course, 1 extra
• Interpret and compare data presented using a column graph

• Activities: 1 course, 2 extra
• Interpret dot plots

• Activities: 1 course, 0 extra
• Interpret line graphs

• Activities: 1 course, 0 extra
• Interpreting pie graphs

• Activities: 1 course, 0 extra
• Interpret data presented using a pie graph

• Activities: 1 course, 7 extra