## Mathematics – Australia – Australian Curriculum

• ##### 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. Common factors.

• #### Identifying multiples

• Activities: 1 course, 0 extra
• #### Factor trees

• Activities: 1 course, 0 extra
• #### Identifying factors

• Activities: 2 course, 1 extra
• #### Common factors

• Activities: 2 course, 0 extra
• 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, 4 extra
• #### Rounding to the nearest hundred

• Activities: 3 course, 0 extra
• #### Adding on to multiples of 10

• Activities: 2 course, 1 extra

• 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

• Activities: 1 course, 0 extra
• #### Addition and subtraction (problem solving)

• Activities: 3 course, 4 extra
• #### Subtraction (problem solving)

• Activities: 1 course, 1 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
• ACMNA100 – Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies

• 23 learning outcomes – click to view

Samples: 11x tables. 12x tables. Multiplying by 10, 100 and 1000. Multiplying by 100. Multiplying by 10 or 100.

• #### 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, 8 extra
• #### Multiplying multiples of 10 (problem solving)

• Activities: 3 course, 2 extra
• #### 2x-10x tables

• Activities: 5 course, 7 extra
• #### 2x-10x tables (missing number)

• Activities: 3 course, 12 extra
• #### Multiplying multiples of 10

• Activities: 7 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, 8 extra
• #### Multiplying 2 by 1 digit (mental strategy)

• Activities: 1 course, 2 extra
• #### Multiplying 2 by 1 digit (written strategy)

• Activities: 5 course, 11 extra
• #### Multiplying 2 by 1 digit

• Activities: 3 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: 2 course, 0 extra
• 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 facts. Division facts (problem solving). Division facts (missing number).

• #### Division facts

• Activities: 4 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: 3 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: 4 course, 8 extra
• #### Dividing 3 digits by 1 digit (problem solving)

• Activities: 1 course, 4 extra
• #### Division (with remainders)

• Activities: 3 course, 9 extra
• #### Division (problem solving)

• Activities: 4 course, 7 extra
• ACMNA291 – Use efficient mental and written strategies and apply appropriate digital technologies to solve problems

• 16 learning outcomes – click to view

• 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

• Activities: 1 course, 0 extra
• #### Addition and subtraction (problem solving)

• Activities: 3 course, 4 extra
• #### Subtraction (problem solving)

• Activities: 1 course, 1 extra
• #### Multiplying by 10 or 100 (problem solving)

• Activities: 3 course, 8 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, 8 extra
• #### Multiplying 2 by 1 digit (written strategy)

• Activities: 5 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
• ##### 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. Modelling equivalent fractions. Compare to a half.

• #### Fractions on a number line.

• Activities: 3 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
• ACMNA103 – Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

• 4 learning outcomes – click to view

• #### Adding and subtracting fractions - problem solving

• Activities: 1 course, 0 extra
• #### Adding fractions - visual cues

• Activities: 2 course, 0 extra
• #### Add and subtract fractions (same denominators)

• Activities: 2 course, 3 extra
• #### Adding fractions (tenths and hundredths)

• Activities: 1 course, 0 extra
• 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
• 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
• ##### 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
• ##### 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. Rules defining number patterns.

• #### Represent problems using algebraic equation

• Activities: 1 course, 0 extra
• #### Continue number patterns

• Activities: 2 course, 0 extra
• #### Rules defining number patterns

• Activities: 1 course, 0 extra
• #### Equivalent number sentences (written form)

• Activities: 1 course, 0 extra
• ACMNA121 – Use equivalent number sentences involving multiplication and division to find unknown quantities

• 2 learning outcomes – click to view

Samples: Continue number patterns. Rules defining number patterns. Continue number patterns (multiplication).

• #### Continue number patterns

• Activities: 2 course, 0 extra
• #### Rules defining number patterns

• Activities: 1 course, 0 extra
• ##### 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: 3 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
• #### Calculating area (squares and rectangles)

• Activities: 4 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: 2 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: 2 course, 0 extra

• Activities: 2 course, 0 extra
• #### Mass

• Activities: 1 course, 0 extra
• #### Mass and money

• Activities: 1 course, 0 extra
• 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. Calculating area.

• #### Perimeter and Area

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

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

• Activities: 1 course, 0 extra
• #### Calculating area (squares and rectangles)

• Activities: 4 course, 8 extra
• ACMMG110 – Compare 12- and 24-hour time systems and convert between them

• 2 learning outcomes – click to view

Samples: 24 hour time. 24 Hour Time. 24 hour time - am or pm. 24 hour time. 24-hour time: Activity 2. 24-hour time: Activity 1.

• #### 24 hour time - am or pm

• Activities: 4 course, 7 extra
• #### 24 Hour Time

• Activities: 1 course, 0 extra
• ##### Shape
• ACMMG111 – Connect three-dimensional objects with their nets and other two-dimensional representations

• 2 learning outcomes – click to view

Samples: Drawing 3D objects. Matching - three-dimensional objects with their nets. Drawing 3D Objects - cylinder.

• #### Draw three-dimensional shapes

• Activities: 6 course, 9 extra
• #### Nets of three dimensional objects

• Activities: 4 course, 4 extra
• ##### 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
• ACMMG114 – Describe translations, reflections and rotations of two-dimensional 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
• 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
• ##### 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: 2 course, 0 extra
• #### Grouping shapes based on attributes

• Activities: 1 course, 0 extra
• ##### 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
• ACMSP117 – Recognise that probabilities range from 0 to 1

• ##### Data representation and interpretation
• ACMSP118 – Pose questions and collect categorical or numerical data by observation or survey

• 5 learning outcomes – click to view

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

• #### Pie graph

• Activities: 3 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
• 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: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.

• #### Pie graph

• Activities: 3 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
• ACMSP120 – Describe and interpret different data sets in context

• 5 learning outcomes – click to view

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

• #### Pie graph

• Activities: 3 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