## 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: Activity 1.

• #### Identifying multiples

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

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

• Activities: 2 course, 0 extra
• #### Common factors

• Activities: 1 course, 0 extra
• ACMNA099 – Use estimation and rounding to check the reasonableness of answers to calculations

• 51 learning outcomes – click to view

Samples: Two digit addition (estimating). Division (estimation) - 1. Rounding numbers to the nearest 10.

• #### Two digit addition (estimating)

• Activities: 1 course, 2 extra
• #### Division (estimation)

• Activities: 2 course, 0 extra
• #### Rounding numbers to the nearest multiple of 10.

• Activities: 6 course, 2 extra
• #### Round to the nearest 100

• Activities: 2 course, 0 extra
• #### Adding on to multiples of 10

• Activities: 2 course, 0 extra
• #### Adding on to multiples of 10 - problem solving

• Activities: 2 course, 4 extra
• #### Addition and Subtraction (two step problem solving)

• Activities: 1 course, 0 extra
• #### Addition and Subtraction - problem solving

• Activities: 1 course, 0 extra
• #### Adding three numbers - problem solving

• Activities: 1 course, 0 extra
• #### Addition - problem solving

• Activities: 1 course, 0 extra
• #### Addition and Subtraction Revision

• Activities: 2 course, 2 extra
• #### Subtraction - problem solving

• Activities: 2 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, 0 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 Multiplication facts (times tables). 12x Multiplication facts (times tables). Multiplying by 10.

• #### 11x tables - skills

• Activities: 2 course, 0 extra
• #### 12x tables - skills

• Activities: 2 course, 0 extra
• #### Multiplying by 10

• Activities: 5 course, 3 extra
• #### Multiplying by 100

• Activities: 6 course, 3 extra
• #### Multiplying by 10 or 100 - problem solving

• Activities: 3 course, 6 extra
• #### Multiplying multiples of 10 - problem solving

• Activities: 1 course, 0 extra
• #### 2x-10x tables

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

• Activities: 3 course, 5 extra
• #### Multiples of 10 by 1 digit - skills

• Activities: 5 course, 2 extra
• #### Multiples of 10 by 1 digit - problem solving

• Activities: 2 course, 3 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 digits by a 1 digit number - Mental Strategies

• Activities: 1 course, 2 extra
• #### Multiplying 2 digits by a 1 digit number - written strategy

• Activities: 3 course, 4 extra
• #### Multiplying 2 digits by a 1 digit number

• Activities: 1 course, 7 extra
• #### Multiplying three numbers (under 10)

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

• Activities: 1 course, 0 extra
• #### Multiplying multiples of 10 - Missing Numbers

• Activities: 3 course, 4 extra
• #### Multiplication - Two digits by One Digit - Missing Number

• Activities: 2 course, 2 extra
• #### Identifying multiples

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

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

• Activities: 2 course, 0 extra
• #### Common factors

• Activities: 1 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: Dividing using division symbol. Two digit Division (no remainders) - 1.

• #### Division facts

• Activities: 4 course, 2 extra
• #### Division facts - problem solving

• Activities: 2 course, 7 extra
• #### Division facts - Missing Number

• Activities: 2 course, 0 extra
• #### Dividing multiples of 10 by a single digit number

• Activities: 2 course, 0 extra
• #### Dividing multiples of 10 by a single digit number - problem solving

• Activities: 1 course, 2 extra
• #### Halving numbers - Dividing by two

• Activities: 2 course, 2 extra
• #### Dividing three digits by one digit - no remainders

• Activities: 4 course, 2 extra
• #### Dividing three digits by one digit - no remainders - problem solving

• Activities: 0 course, 4 extra
• #### Dividing with remainders

• Activities: 4 course, 3 extra
• #### Division - problem solving

• Activities: 6 course, 7 extra
• ACMNA291 – Use efficient mental and written strategies and apply appropriate digital technologies to solve problems

• 16 learning outcomes – click to view

Samples: Adding on to multiples of 10 - 1. Addition and Subtraction (two step). Addition and Subtraction.

• #### Adding on to multiples of 10 - problem solving

• Activities: 2 course, 4 extra
• #### Addition and Subtraction (two step problem solving)

• Activities: 1 course, 0 extra
• #### Addition and Subtraction - problem solving

• Activities: 1 course, 0 extra
• #### Adding three numbers - problem solving

• Activities: 1 course, 0 extra
• #### Addition - problem solving

• Activities: 1 course, 0 extra
• #### Addition and Subtraction Revision

• Activities: 2 course, 2 extra
• #### Subtraction - problem solving

• Activities: 2 course, 0 extra
• #### Multiplying by 10 or 100 - problem solving

• Activities: 3 course, 6 extra
• #### Multiplying multiples of 10 - problem solving

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

• Activities: 2 course, 3 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 digits by a 1 digit number - written strategy

• Activities: 3 course, 4 extra
• #### Division facts - problem solving

• Activities: 2 course, 7 extra
• #### Dividing multiples of 10 by a single digit number - problem solving

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

• Activities: 6 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: Activity 1. Equivalence. Compare to a half.

• #### Fractions on a number line.

• Activities: 2 course, 1 extra
• #### Modelling equivalent fractions.

• Activities: 2 course, 2 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, 1 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: 1 course, 0 extra
• #### Addition and subtraction of fractions with the same denominators.

• Activities: 3 course, 0 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: Activity 1.

• #### Decimals on a number line.

• Activities: 2 course, 1 extra
• #### Compare and order decimals.

• Activities: 2 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
• #### Thousandths - identifying the value of digits

• 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 tenths and hundredths to decimals. Comparing fractions and decimals - tenths and hundredths.

• #### Converting tenths and hundredths to decimals

• Activities: 1 course, 0 extra
• #### Comparing fractions and decimals - tenths and hundredths

• 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, 0 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 (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
• 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
• ##### Using units of measurement
• ACMMG108 – Choose appropriate units of measurement for length, area, volume, capacity and mass

• 29 learning outcomes – click to view

Samples: Units Of Measure Metric. Units Of Measure Metric. Calculating Perimeter Regular Shapes.

• #### Converting between kilometers and meters

• Activities: 2 course, 0 extra
• #### Choose appropriate units when measuring length.

• Activities: 2 course, 0 extra
• #### Perimeter of squares and rectangles.

• Activities: 2 course, 0 extra
• #### Perimeter of irregular shapes.

• Activities: 2 course, 6 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, 0 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, 0 extra
• #### Estimating mass

• Activities: 1 course, 0 extra

• Activities: 1 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 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, 0 extra
• ACMMG110 – Compare 12- and 24-hour time systems and convert between them

• 2 learning outcomes – click to view

Samples: 24 hour time - am or pm. 24 Hour Time. 24-hour time: Activity 2. Twenty-four hour time no.2.

• #### 24 hour time - am or pm

• Activities: 2 course, 1 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 - cylinder. Matching - three-dimensional objects with their nets.

• #### Draw three-dimensional shapes

• Activities: 5 course, 8 extra
• #### Nets of three dimensional objects

• Activities: 4 course, 2 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. Follow a route using a map.

• #### Describe locations using a grid reference.

• Activities: 1 course, 0 extra
• #### Describe routes using landmarks

• Activities: 1 course, 0 extra
• ACMMG114 – Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries

• 3 learning outcomes – click to view

Samples: Translations, reflections or rotations: Activity 1. Line of symmetry. Rotational symmetry.

• #### Identify translations, reflections and rotations.

• Activities: 2 course, 0 extra
• #### Identify line of symmetry.

• Activities: 1 course, 0 extra
• #### Identify rotational symmetry.

• Activities: 0 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 graphics using a grid.

• #### Apply enlargement transformation

• Activities: 1 course, 3 extra
• ##### Geometric reasoning
• ACMMG112 – Estimate, measure and compare angles using degrees. Construct angles using a protractor

• 5 learning outcomes – click to view

Samples: Measuring angles using a protractor: Activity 1. Estimating the size of angles. Combining or splitting 2D shapes.

• #### Measure and compare angles.

• Activities: 4 course, 2 extra
• #### Estimate the size of angles.

• Activities: 1 course, 0 extra
• #### Identify two-dimensional shapes created when combining or splitting shapes

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

• Activities: 1 course, 0 extra
• #### Grouping two dimensional shapes based on their 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 Fraction. Chance. Chance Problem Solving. Chance Problem Solving. Chance Problem Solving. Chance Problem Solving.

• #### Represent chance using fractions.

• Activities: 1 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: 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
• 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, 1 extra
• 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, 1 extra