Mathematics – Australia – Australian Curriculum
Number and Algebra
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


9 learning outcomes – click to view
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

Reading large numbers
 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

Problem Solving
 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, 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


80 learning outcomes – click to view
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

Problem Solving
 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, 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


10 learning outcomes – click to view
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


12 learning outcomes – click to view
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

Adding mixed fractions
 Activities: 1 course, 0 extra

Adding and subtracting fractions
 Activities: 1 course, 0 extra


6 learning outcomes – click to view
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

Division Answers as fractions
 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


11 learning outcomes – click to view
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

Adding decimals
 Activities: 5 course, 1 extra

Subtracting decimals
 Activities: 5 course, 0 extra


4 learning outcomes – click to view
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


2 learning outcomes – click to view
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


3 learning outcomes – click to view
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


1 learning outcomes – click to view
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

Calculating best buys.
 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


12 learning outcomes – click to view
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


13 learning outcomes – click to view
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


5 learning outcomes – click to view
Measurement and Geometry
Using units of measurement
ACMMG135 – Connect decimal representations to the metric system

1 learning outcomes – click to view
Samples: Length  using decimals and matching equivalence.

Using decimals and matching equivalence.
 Activities: 1 course, 0 extra


1 learning outcomes – click to view
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


17 learning outcomes – click to view
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


9 learning outcomes – click to view
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


16 learning outcomes – click to view
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


2 learning outcomes – click to view
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


2 learning outcomes – click to view
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


1 learning outcomes – click to view
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


1 learning outcomes – click to view
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


9 learning outcomes – click to view
Statistics and Probability
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


4 learning outcomes – click to view
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


7 learning outcomes – click to view
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


7 learning outcomes – click to view
Data representation and interpretation
ACMSP147 – Interpret and compare a range of data displays, including sidebyside 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


10 learning outcomes – click to view
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


10 learning outcomes – click to view