Mathematics – Australia – Australian Curriculum
Number and Algebra
Number and place value
ACMNA098 – Identify and describe factors and multiples of whole numbers and use them to solve problems

4 learning outcomes – click to view
Samples: Identifying multiples. Factor trees. Factors. Common factors. Identifying factors: Activity 1.

Identifying multiples
 Activities: 1 course, 0 extra

Factor trees
 Activities: 1 course, 0 extra

Identifying factors
 Activities: 2 course, 1 extra

Common factors
 Activities: 1 course, 0 extra


4 learning outcomes – click to view
ACMNA099 – Use estimation and rounding to check the reasonableness of answers to calculations

51 learning outcomes – click to view
Samples: Adding two digit numbers (estimating). Division (estimation)  1. Rounding to the nearest 10 (3 digits).

Adding two digit numbers (estimating)
 Activities: 1 course, 2 extra

Division (estimation)
 Activities: 2 course, 0 extra

Rounding to the nearest 10
 Activities: 3 course, 3 extra

Rounding to the nearest hundred
 Activities: 3 course, 0 extra

Adding on to multiples of 10
 Activities: 2 course, 1 extra

Adding (problem solving)
 Activities: 2 course, 4 extra

Adding and Subtracting (two step problem solving)
 Activities: 1 course, 0 extra

Adding and Subtracting (problem solving)
 Activities: 1 course, 0 extra

Adding three numbers (problem solving)
 Activities: 1 course, 1 extra

Adding (problem solving)
 Activities: 1 course, 0 extra

Addition and subtraction (problem solving)
 Activities: 3 course, 2 extra

Subtraction (problem solving)
 Activities: 1 course, 0 extra

Mentals 73
 Activities: 1 course, 0 extra

Mentals 74
 Activities: 1 course, 0 extra

Mentals 75
 Activities: 1 course, 0 extra

Mentals 76
 Activities: 1 course, 0 extra

Mentals 77
 Activities: 1 course, 0 extra

Mentals 78
 Activities: 1 course, 0 extra

Mentals 79
 Activities: 1 course, 0 extra

Mentals 80
 Activities: 1 course, 0 extra

Mentals 81
 Activities: 1 course, 0 extra

Mentals 82
 Activities: 1 course, 0 extra

Mentals 83
 Activities: 1 course, 0 extra

Mentals 84
 Activities: 1 course, 0 extra

Mentals 85
 Activities: 1 course, 0 extra

Mentals 86
 Activities: 2 course, 0 extra

Mentals 87
 Activities: 1 course, 0 extra

Mentals 88
 Activities: 1 course, 0 extra

Mentals 89
 Activities: 1 course, 0 extra

Mentals 90
 Activities: 1 course, 0 extra

Mentals 91
 Activities: 1 course, 0 extra

Mentals 92
 Activities: 1 course, 0 extra

Mentals 93
 Activities: 2 course, 0 extra

Mentals 94
 Activities: 2 course, 0 extra

Mentals 95
 Activities: 1 course, 0 extra

Mentals 96
 Activities: 1 course, 0 extra

Mentals 97
 Activities: 1 course, 0 extra

Mentals 98
 Activities: 1 course, 0 extra

Mentals 99
 Activities: 1 course, 0 extra

Mentals 100
 Activities: 1 course, 0 extra

Mentals 101
 Activities: 1 course, 0 extra

Mentals 102
 Activities: 1 course, 0 extra

Mentals 103
 Activities: 2 course, 0 extra

Mentals 104
 Activities: 1 course, 0 extra

Mentals 105
 Activities: 1 course, 0 extra

Mentals 106
 Activities: 1 course, 0 extra

Mentals 107
 Activities: 1 course, 0 extra

Mentals 108
 Activities: 1 course, 0 extra

Brackets in number operations
 Activities: 1 course, 0 extra

Brackets in number operations  Two Step
 Activities: 1 course, 0 extra

Balancing equations  Equivalent number sentences
 Activities: 4 course, 2 extra


51 learning outcomes – click to view
ACMNA100 – Solve problems involving multiplication of large numbers by one or twodigit numbers using efficient mental, written strategies and appropriate digital technologies

23 learning outcomes – click to view
Samples: 11x tables. 12x tables. Multiplying by 10. Multiplying by 100. Multiplying by 10 or 100. Multiplying multiples of 10.

11x tables
 Activities: 2 course, 1 extra

12x tables
 Activities: 2 course, 1 extra

Multiplying by 10
 Activities: 4 course, 7 extra

Multiplying by 100
 Activities: 3 course, 8 extra

Multiplying by 10 or 100 (problem solving)
 Activities: 3 course, 6 extra

Multiplying multiples of 10 (problem solving)
 Activities: 3 course, 2 extra

2x10x tables
 Activities: 2 course, 7 extra

2x10x tables (missing number)
 Activities: 3 course, 12 extra

Multiplying multiples of 10
 Activities: 5 course, 4 extra

Multiples of 10 by 1 digit  problem solving
 Activities: 0 course, 1 extra

Multiplying multiples of 10  puzzle
 Activities: 1 course, 0 extra

Multiplying 2 by 1 digit (problem solving)
 Activities: 4 course, 7 extra

Multiplying 2 by 1 digit (mental strategy)
 Activities: 1 course, 2 extra

Multiplying 2 by 1 digit (written strategy)
 Activities: 3 course, 11 extra

Multiplying 2 by 1 digit
 Activities: 1 course, 10 extra

Multiplying three numbers (under 10)
 Activities: 1 course, 1 extra

Multiplying 2 digits by a 1 digit number  Puzzle
 Activities: 1 course, 0 extra

Multiplying multiples of 10 (missing number)
 Activities: 3 course, 8 extra

Multiplying 2 by 1 digit (missing number)
 Activities: 2 course, 7 extra

Identifying multiples
 Activities: 1 course, 0 extra

Factor trees
 Activities: 1 course, 0 extra

Identifying factors
 Activities: 2 course, 1 extra

Common factors
 Activities: 1 course, 0 extra


23 learning outcomes – click to view
ACMNA101 – Solve problems involving division by a one digit number, including those that result in a remainder

10 learning outcomes – click to view
Samples: Division with no remainders. Division facts (problem solving). Division facts (missing number).

Division facts
 Activities: 3 course, 8 extra

Division facts (problem solving)
 Activities: 2 course, 7 extra

Division facts (missing number)
 Activities: 2 course, 2 extra

Dividing multiples of 10 by 1 digit
 Activities: 2 course, 1 extra

Dividing multiples of 10 by 1 digit (problem solving)
 Activities: 1 course, 2 extra

Halving numbers
 Activities: 3 course, 4 extra

Dividing 3 digits by 1 digit (no remainders)
 Activities: 3 course, 8 extra

Dividing 3 digits by 1 digit (problem solving)
 Activities: 1 course, 4 extra

Division (remainders)
 Activities: 3 course, 8 extra

Division (problem solving)
 Activities: 4 course, 7 extra


10 learning outcomes – click to view
ACMNA291 – Use efficient mental and written strategies and apply appropriate digital technologies to solve problems

16 learning outcomes – click to view
Samples: Adding (problem solving). Adding and Subtracting (two step problem solving).

Adding (problem solving)
 Activities: 2 course, 4 extra

Adding and Subtracting (two step problem solving)
 Activities: 1 course, 0 extra

Adding and Subtracting (problem solving)
 Activities: 1 course, 0 extra

Adding three numbers (problem solving)
 Activities: 1 course, 1 extra

Adding (problem solving)
 Activities: 1 course, 0 extra

Addition and subtraction (problem solving)
 Activities: 3 course, 2 extra

Subtraction (problem solving)
 Activities: 1 course, 0 extra

Multiplying by 10 or 100 (problem solving)
 Activities: 3 course, 6 extra

Multiplying multiples of 10 (problem solving)
 Activities: 3 course, 2 extra

Multiples of 10 by 1 digit  problem solving
 Activities: 0 course, 1 extra

Multiplying multiples of 10  puzzle
 Activities: 1 course, 0 extra

Multiplying 2 by 1 digit (problem solving)
 Activities: 4 course, 7 extra

Multiplying 2 by 1 digit (written strategy)
 Activities: 3 course, 11 extra

Division facts (problem solving)
 Activities: 2 course, 7 extra

Dividing multiples of 10 by 1 digit (problem solving)
 Activities: 1 course, 2 extra

Division (problem solving)
 Activities: 4 course, 7 extra


16 learning outcomes – click to view
Fractions and decimals
ACMNA102 – Compare and order common unit fractions and locate and represent them on a number line

5 learning outcomes – click to view
Samples: Fractions on a number line (with guides). Equivalence. Compare to a half.

Fractions on a number line.
 Activities: 2 course, 1 extra

Modelling equivalent fractions.
 Activities: 2 course, 3 extra

Compare to one half.
 Activities: 1 course, 0 extra

Compare fractions: using comparison symbols (<, =, >)
 Activities: 1 course, 0 extra

Compare and order fractions.
 Activities: 2 course, 2 extra


5 learning outcomes – click to view
ACMNA103 – Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

4 learning outcomes – click to view
Samples: Adding and subtracting fractions. Adding fractions  visual cues. Add Subtract Related Fractions USA.

Adding and subtracting fractions  problem solving
 Activities: 1 course, 0 extra

Adding fractions  visual cues
 Activities: 1 course, 0 extra

Add and subtract fractions (same denominators)
 Activities: 2 course, 3 extra

Adding fractions (tenths and hundredths)
 Activities: 1 course, 0 extra


4 learning outcomes – click to view
ACMNA104 – Recognise that the number system can be extended beyond hundredths

6 learning outcomes – click to view
Samples: Placing Decimals On A Number Line. Compare and order decimals. Read and write decimals in the thousandths.

Decimals on a number line.
 Activities: 2 course, 2 extra

Compare and order decimals
 Activities: 1 course, 1 extra

Read and write decimals in the thousandths
 Activities: 1 course, 0 extra

Comparing decimals in the thousandths
 Activities: 1 course, 0 extra

Place value (thousandths)
 Activities: 1 course, 0 extra

Place value  thousandths
 Activities: 1 course, 0 extra


6 learning outcomes – click to view
ACMNA105 – Compare, order and represent decimals

2 learning outcomes – click to view
Samples: Converting 10ths and 100ths to decimals. Comparing fractions and decimals.

Converting 10ths and 100ths to decimals
 Activities: 1 course, 0 extra

Comparing fractions and decimals (10ths 100ths)
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
Money and financial mathematics
ACMNA106 – Create simple financial plans

6 learning outcomes – click to view
Samples: Calculations involving money. Calculations involving money. Why We Need To Save Money. Family Expenses. Income.

Calculations involving money
 Activities: 1 course, 0 extra

Calculations involving money
 Activities: 1 course, 2 extra

Saving money and budgeting
 Activities: 1 course, 0 extra

Family expenditure (cost of living)
 Activities: 1 course, 1 extra

Income
 Activities: 1 course, 0 extra

How credit cards work
 Activities: 1 course, 0 extra


6 learning outcomes – click to view
Patterns and algebra
ACMNA107 – Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction

4 learning outcomes – click to view
Samples: Represent problems using algebraic equation. Continue number patterns (multiplication).

Represent problems using algebraic equation
 Activities: 1 course, 0 extra

Describe and continue number patterns resulting from multiplication
 Activities: 1 course, 0 extra

Rules defining number patterns
 Activities: 1 course, 0 extra

Solve equivalent number sentences presented in written form
 Activities: 1 course, 0 extra


4 learning outcomes – click to view
ACMNA121 – Use equivalent number sentences involving multiplication and division to find unknown quantities

2 learning outcomes – click to view
Samples: Continue number patterns (multiplication). Rules defining number patterns.

Describe and continue number patterns resulting from multiplication
 Activities: 1 course, 0 extra

Rules defining number patterns
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
Measurement and Geometry
Using units of measurement
ACMMG108 – Choose appropriate units of measurement for length, area, volume, capacity and mass

29 learning outcomes – click to view
Samples: Converting between kilometres and metres. Converting between litres and millilitres.

Converting between kilometres and metres
 Activities: 1 course, 0 extra

Converting between litres and millilitres
 Activities: 1 course, 0 extra

Converting from centimetres to millimetres
 Activities: 1 course, 0 extra

Converting from millimetres to centimetres
 Activities: 1 course, 0 extra

Converting from metres to centimetres
 Activities: 1 course, 0 extra

Converting from centimetres to metres
 Activities: 1 course, 0 extra

Converting between kilometers and meters
 Activities: 1 course, 0 extra

Choose appropriate units when measuring length.
 Activities: 2 course, 3 extra

Perimeter of squares and rectangles.
 Activities: 2 course, 4 extra

Perimeter of irregular shapes.
 Activities: 2 course, 9 extra

Challenge puzzle perimeter
 Activities: 1 course, 0 extra

Length  problem solving
 Activities: 1 course, 0 extra

Length and money  problem solving
 Activities: 1 course, 0 extra

Perimeter and Area
 Activities: 1 course, 0 extra

Area
 Activities: 1 course, 0 extra

Area and money
 Activities: 1 course, 0 extra

How to calculate the area of squares and rectangles.
 Activities: 3 course, 8 extra

Choosing appropriate units for measuring volume (mL or L)
 Activities: 1 course, 0 extra

Estimating volume
 Activities: 1 course, 0 extra

Choosing appropriate units for measuring volume (cm3 or m3)
 Activities: 1 course, 0 extra

Volume of cubes and rectangular prisms using centicubes
 Activities: 1 course, 0 extra

Volume
 Activities: 1 course, 0 extra

Volume and money
 Activities: 1 course, 0 extra

Converting between grams and kilograms
 Activities: 1 course, 0 extra

Choosing appropriate units for measuring mass
 Activities: 2 course, 4 extra

Estimating mass
 Activities: 1 course, 0 extra

Reading scales
 Activities: 1 course, 0 extra

Mass
 Activities: 1 course, 0 extra

Mass and money
 Activities: 1 course, 0 extra


29 learning outcomes – click to view
ACMMG109 – Calculate the perimeter and area of rectangles using familiar metric units

4 learning outcomes – click to view
Samples: Perimeter and Area. Area. Area and money. Calculating area using a grid.

Perimeter and Area
 Activities: 1 course, 0 extra

Area
 Activities: 1 course, 0 extra

Area and money
 Activities: 1 course, 0 extra

How to calculate the area of squares and rectangles.
 Activities: 3 course, 8 extra


4 learning outcomes – click to view
ACMMG110 – Compare 12 and 24hour time systems and convert between them

2 learning outcomes – click to view
Samples: 24 hour time  am or pm. 24 Hour Time. 24hour time: Activity 2. 24hour time: Activity 1. Twentyfour hour time.

24 hour time  am or pm
 Activities: 2 course, 7 extra

24 Hour Time
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
Shape
ACMMG111 – Connect threedimensional objects with their nets and other twodimensional representations

2 learning outcomes – click to view
Samples: Drawing 3D Objects  cylinder. Matching  threedimensional objects with their nets.

Draw threedimensional shapes
 Activities: 5 course, 9 extra

Nets of three dimensional objects
 Activities: 4 course, 4 extra


2 learning outcomes – click to view
Location and transformation
ACMMG113 – Use a grid reference system to describe locations. Describe routes using landmarks and directional language

2 learning outcomes – click to view
Samples: Using Coordinates to Read a Map. Describe routes using landmarks. Describe locations using grid reference.

Describe locations using a grid reference.
 Activities: 1 course, 1 extra

Describe routes using landmarks
 Activities: 1 course, 1 extra


2 learning outcomes – click to view
ACMMG114 – Describe translations, reflections and rotations of twodimensional shapes. Identify line and rotational symmetries

3 learning outcomes – click to view
Samples: Identify transformations  pictures. Identify line of symmetry. Rotational symmetry  shapes.

Identify transformations  pictures
 Activities: 1 course, 2 extra

Identify line of symmetry
 Activities: 1 course, 1 extra

Rotational symmetry  shapes
 Activities: 1 course, 1 extra


3 learning outcomes – click to view
ACMMG115 – Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original

1 learning outcomes – click to view
Samples: Enlarging graphics using a grid. Enlarging shapes. Enlarging shapes  Using perspective line.

Apply enlargement transformation
 Activities: 1 course, 10 extra


1 learning outcomes – click to view
Geometric reasoning
ACMMG112 – Estimate, measure and compare angles using degrees. Construct angles using a protractor

5 learning outcomes – click to view
Samples: Measuring obtuse angles using a protractor. Estimating the size of angles. Splitting shapes.

Measuring obtuse angles using a protractor
 Activities: 1 course, 3 extra

Estimate the size of angles.
 Activities: 1 course, 0 extra

Splitting shapes
 Activities: 2 course, 0 extra

Attributes of two dimensional shapes
 Activities: 1 course, 0 extra

Grouping shapes based on attributes
 Activities: 1 course, 0 extra


5 learning outcomes – click to view
Statistics and Probability
Chance
ACMSP116 – List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions

2 learning outcomes – click to view
Samples: Chance and Probability (as fractions). Chance. Chance Fraction. Chance Problem Solving. Chance Problem Solving.

Chance and Probability (as fractions)
 Activities: 2 course, 4 extra

Chance
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
ACMSP117 – Recognise that probabilities range from 0 to 1

1 learning outcomes – click to view
Samples: Chance from 0 to 1.

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


1 learning outcomes – click to view
Data representation and interpretation
ACMSP118 – Pose questions and collect categorical or numerical data by observation or survey

5 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, 3 extra


5 learning outcomes – click to view
ACMSP119 – Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies

5 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, 3 extra


5 learning outcomes – click to view
ACMSP120 – Describe and interpret different data sets in context

5 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, 3 extra


5 learning outcomes – click to view