## 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. Prime numbers. Identifying prime numbers < 100 (puzzle).

• #### Square root

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

• Activities: 1 course, 0 extra
• #### Prime numbers

• Activities: 2 course, 0 extra
• #### Identifying prime numbers < 100 (puzzle)

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

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

• Activities: 4 course, 6 extra
• #### Index notation

• Activities: 1 course, 0 extra
• #### Square root

• Activities: 3 course, 2 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

• 77 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

• Activities: 2 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 on a number line

• Activities: 3 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, 5 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, 3 extra
• #### Factors

• Activities: 5 course, 2 extra
• #### Prime numbers

• Activities: 2 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 ten

• Activities: 4 course, 12 extra
• #### Multiplying two-digit numbers

• Activities: 5 course, 10 extra
• #### Multiplying by 2 digit numbers (problem solving)

• Activities: 1 course, 4 extra
• #### Index notation.

• Activities: 4 course, 6 extra
• #### Index notation

• Activities: 1 course, 0 extra
• #### Square root

• Activities: 3 course, 2 extra
• #### Square roots

• Activities: 1 course, 0 extra
• #### Revision

• Activities: 5 course, 4 extra
• #### Dividing whole numbers by 100

• Activities: 4 course, 0 extra
• #### Division (estimation)

• Activities: 2 course, 0 extra
• #### Dividing 4-digit numbers by 1-digit numbers

• Activities: 4 course, 5 extra
• #### Dividing large numbers (problem solving)

• Activities: 1 course, 3 extra
• #### Division puzzle

• Activities: 1 course, 0 extra
• #### Long division

• Activities: 3 course, 3 extra
• #### Long division - problem solving

• Activities: 0 course, 4 extra
• #### Balancing equations - Equivalent number sentences

• Activities: 5 course, 10 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, 2 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

• 9 learning outcomes – click to view

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

• #### Negative numbers on a number line

• Activities: 3 course, 1 extra
• #### Numbers

• Activities: 1 course, 5 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, 3 extra
• #### Multiplying by 2 digit numbers (problem solving)

• Activities: 1 course, 4 extra
• #### Revision

• Activities: 5 course, 4 extra
• #### Dividing large numbers (problem solving)

• Activities: 1 course, 3 extra
• #### Long division - problem solving

• Activities: 0 course, 4 extra
• ##### Fractions and decimals
• ACMNA125 – Compare fractions with related denominators and locate and represent them on a number line

• 5 learning outcomes – click to view

Samples: Comparing fractions to a half. Equivalent fractions. Fractions in their simplest form.

• #### Comparing fractions

• Activities: 4 course, 0 extra
• #### Equivalent fractions

• Activities: 7 course, 10 extra
• #### Simplifying fractions

• Activities: 4 course, 2 extra
• #### Improper and mixed number fractions

• Activities: 6 course, 1 extra
• #### Converting mixed numbers to improper frac.

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

• 3 learning outcomes – click to view

• #### Adding and subtracting related fractions

• Activities: 6 course, 1 extra

• Activities: 1 course, 0 extra
• #### Adding and subtracting fractions

• Activities: 3 course, 0 extra
• ACMNA127 – Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies

• 6 learning outcomes – click to view

Samples: Fractions of a number. Fractions of quantities (problem solving). Calculating Percentages.

• #### Fractions of a number

• Activities: 12 course, 2 extra
• #### Simple fractions of quantities (problem solving)

• Activities: 1 course, 1 extra
• #### Calculating percentages

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

• Activities: 3 course, 0 extra
• #### Division- answers as fractions

• Activities: 2 course, 0 extra
• #### Multiplying fractions

• Activities: 0 course, 3 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. Converting fractions to percentages. Adding Decimals. Subtracting Decimals.

• #### Rounding decimals to whole numbers

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

• Activities: 3 course, 6 extra

• Activities: 5 course, 3 extra
• #### Subtracting decimals

• Activities: 4 course, 3 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 a whole number by 10. Multiplying Decimals By A Single Digit Number.

• #### Dividing whole numbers by 10 (problem solving)

• Activities: 5 course, 0 extra
• #### Multiplying decimals by a whole number

• Activities: 2 course, 6 extra
• ACMNA130 – Multiply and divide decimals by powers of 10

• 3 learning outcomes – click to view

Samples: Dividing a whole number by 10. Multiplying Decimals By 10. Multiplying decimals by 1000.

• #### Dividing whole numbers by 10 (problem solving)

• Activities: 5 course, 0 extra
• #### Multiplying decimals by 10

• Activities: 2 course, 4 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: Converting fractions to percentages. Converting fractions and decimals to percentages.

• #### Matching fractions, decimals and percentages.

• Activities: 3 course, 6 extra
• ##### Money and financial mathematics
• ACMNA132 – Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies

• 10 learning outcomes – click to view

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

• #### Money (problem solving)

• Activities: 6 course, 0 extra
• #### Cost according to mass, length or volume

• Activities: 1 course, 0 extra

• 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
• #### Discounting

• Activities: 4 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

• 12 learning outcomes – click to view

Samples: Multiplying by multiples of 10. Equivalent fractions. Fractions in their simplest form.

• #### Multiplying by multiples of ten

• Activities: 4 course, 12 extra
• #### Equivalent fractions

• Activities: 7 course, 10 extra
• #### Simplifying fractions

• Activities: 4 course, 2 extra
• #### Dividing whole numbers by 10 (problem solving)

• Activities: 5 course, 0 extra
• #### Matching fractions, decimals and percentages.

• Activities: 3 course, 6 extra
• #### Multiplying decimals by 10

• Activities: 2 course, 4 extra
• #### Multiplying decimals by a whole number

• Activities: 2 course, 6 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, 2 extra
• #### Continuing number sequences

• Activities: 1 course, 4 extra
• #### Substituting numbers for letters

• Activities: 1 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, 10 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, 2 extra
• ##### Using units of measurement
• ACMMG135 – Connect decimal representations to the metric system

• 1 learning outcomes – click to view

Samples: Converting between units of length - problem solving. Converting between units of length.

• #### Converting between units of length

• Activities: 2 course, 1 extra
• 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, 8 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: 6 course, 22 extra
• #### Converting from kilograms to tonnes

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

• Activities: 2 course, 11 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

• 10 learning outcomes – click to view

Samples: Converting between units of length - problem solving. Length. Calculating distances on a map. Length and Money.

• #### Converting between units of length

• Activities: 2 course, 1 extra
• #### Length - problem solving

• Activities: 4 course, 4 extra
• #### Calculating distances on a map

• Activities: 2 course, 1 extra
• #### Length and Money - problem solving

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

• Activities: 3 course, 2 extra
• #### Calculate the area of irregular shapes.

• Activities: 0 course, 3 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 (problem solving)

• Activities: 2 course, 7 extra
• ACMMG138 – Connect volume and capacity and their units of measurement

• 12 learning outcomes – click to view

Samples: Volume and Capacity. Calculating volume. Connect volume (cm3) to capacity (mL). Volume.

• #### Volume and Capacity

• Activities: 2 course, 7 extra
• #### Volume of rectangular prisms

• Activities: 4 course, 6 extra
• #### Connect volume (cm3) to capacity (mL)

• Activities: 1 course, 0 extra
• #### Volume (problem solving)

• Activities: 2 course, 0 extra
• #### Volume and money

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

• Activities: 1 course, 0 extra
• #### Mass (problem solving)

• Activities: 0 course, 2 extra
• #### Mass (converting between units)

• Activities: 2 course, 0 extra
• #### Cost based on mass

• Activities: 4 course, 0 extra
• #### Mass (problem solving)

• Activities: 2 course, 6 extra
• #### Flash based activities

• Activities: 0 course, 5 extra
• ACMMG139 – Interpret and use timetables

• 2 learning outcomes – click to view

Samples: Interpret timetables. Time. Interpret and Use Timetables. Time Problem Solving. Interpret timetables: Activity 2.

• #### Interpreting timetables

• Activities: 2 course, 6 extra
• #### Time (problem solving)

• 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.

• #### 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: Translations, reflections and rotations. Identifying rotation and translation.

• #### Translations, reflections and rotations

• Activities: 3 course, 1 extra
• ACMMG143 – Introduce the Cartesian coordinate system using all four quadrants

• 1 learning outcomes – click to view

Samples: Cartesian Plane - Identify location. Cartesian Plane - Identify coordinates. Cartesian planes - lines and shapes.

• #### Cartesian Planes

• Activities: 3 course, 5 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. Types of angles. Naming angles within shapes. Measure and name angles. Angles in shapes.

• #### Angles within a circle

• Activities: 1 course, 0 extra
• #### Naming angles

• Activities: 5 course, 3 extra
• #### Naming angles within shapes

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

• Activities: 1 course, 2 extra
• #### Angles in shapes

• Activities: 1 course, 0 extra
• #### Angles on a straight line

• Activities: 2 course, 1 extra
• #### Challenge puzzle - angles

• Activities: 1 course, 0 extra
• #### Naming triangles

• Activities: 4 course, 0 extra
• #### Parts of a Circle

• Activities: 5 course, 0 extra
• ##### Chance
• ACMSP144 – Describe probabilities using fractions, decimals and percentages

• 3 learning outcomes – click to view

Samples: Describe probabilities using decimals. Chance (percentages). Probability - fractions.

• #### Describe probabilities using decimals.

• Activities: 3 course, 0 extra
• #### Chance (percentages)

• Activities: 3 course, 1 extra
• #### Describe probabilities (fractions)

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

• 5 learning outcomes – click to view

Samples: Chance and Probability (as fractions). Chance from 0 to 1. Describe probabilities using decimals.

• #### Chance and Probability (as fractions)

• Activities: 2 course, 4 extra
• #### Recognise that probabilities range from 0 to 1.

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

• Activities: 3 course, 0 extra
• #### Chance (percentages)

• Activities: 3 course, 1 extra
• #### Describe probabilities (fractions)

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

• 5 learning outcomes – click to view

Samples: Chance and Probability (as fractions). Chance from 0 to 1. Describe probabilities using decimals.

• #### Chance and Probability (as fractions)

• Activities: 2 course, 4 extra
• #### Recognise that probabilities range from 0 to 1.

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

• Activities: 3 course, 0 extra
• #### Chance (percentages)

• Activities: 3 course, 1 extra
• #### Describe probabilities (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

• 9 learning outcomes – click to view

Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet.

• #### Pie graphs

• Activities: 5 course, 0 extra
• #### Column graphs

• Activities: 2 course, 0 extra
• #### Dot plots

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

• Activities: 0 course, 3 extra
• #### Column graphs

• Activities: 3 course, 3 extra
• #### Dot plots

• Activities: 1 course, 2 extra
• #### Line graphs

• Activities: 2 course, 0 extra
• #### Pie graphs

• Activities: 2 course, 1 extra
• #### Interpret data presented using a pie graph

• Activities: 0 course, 5 extra
• ACMSP148 – Interpret secondary data presented in digital media and elsewhere

• 9 learning outcomes – click to view

Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet.

• #### Pie graphs

• Activities: 5 course, 0 extra
• #### Column graphs

• Activities: 2 course, 0 extra
• #### Dot plots

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

• Activities: 0 course, 3 extra
• #### Column graphs

• Activities: 3 course, 3 extra
• #### Dot plots

• Activities: 1 course, 2 extra
• #### Line graphs

• Activities: 2 course, 0 extra
• #### Pie graphs

• Activities: 2 course, 1 extra
• #### Interpret data presented using a pie graph

• Activities: 0 course, 5 extra