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. 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


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

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

Reading large numbers
 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 twodigit 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 4digit numbers by 1digit 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


77 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

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


9 learning outcomes – click to view
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


5 learning outcomes – click to view
ACMNA126 – Solve problems involving addition and subtraction of fractions with the same or related denominators

3 learning outcomes – click to view
Samples: Adding and subtracting related fractions. Adding mixed fractions. Adding fractions.

Adding and subtracting related fractions
 Activities: 6 course, 1 extra

Adding mixed fractions
 Activities: 1 course, 0 extra

Adding and subtracting fractions
 Activities: 3 course, 0 extra


3 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

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


6 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. 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

Adding decimals
 Activities: 5 course, 3 extra

Subtracting decimals
 Activities: 4 course, 3 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 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


2 learning outcomes – click to view
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


3 learning outcomes – click to view
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


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

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

Calculating best buys.
 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


10 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

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


12 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, 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


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

Converting between units of length
 Activities: 2 course, 1 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, 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


17 learning outcomes – click to view
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


10 learning outcomes – click to view
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


12 learning outcomes – click to view
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


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.

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

Translations, reflections and rotations
 Activities: 3 course, 1 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 Plane  Identify location. Cartesian Plane  Identify coordinates. Cartesian planes  lines and shapes.

Cartesian Planes
 Activities: 3 course, 5 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. 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


9 learning outcomes – click to view
Statistics and Probability
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


3 learning outcomes – click to view
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


5 learning outcomes – click to view
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


5 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

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


9 learning outcomes – click to view
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


9 learning outcomes – click to view