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
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4 learning outcomes – click to view
Samples: Identifying multiples. Factor trees. Factors. Common factors. Identifying factors. Common factors.
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Identifying multiples
- Activities: 1 course, 0 extra
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Factor trees
- Activities: 1 course, 0 extra
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Identifying factors
- Activities: 2 course, 1 extra
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Common factors
- Activities: 2 course, 0 extra
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4 learning outcomes – click to view
ACMNA099 – Use estimation and rounding to check the reasonableness of answers to calculations
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51 learning outcomes – click to view
Samples: Adding two digit numbers (estimating). Division (estimation) - 1. Rounding to the nearest 10 (3 digits).
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Adding two digit numbers by rounding then estimating
- Activities: 1 course, 2 extra
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Division (estimation)
- Activities: 2 course, 0 extra
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Rounding to the nearest 10
- Activities: 3 course, 3 extra
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Rounding to the nearest hundred
- Activities: 3 course, 0 extra
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Adding-on to multiples of ten
- Activities: 2 course, 1 extra
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Adding (problem solving)
- Activities: 1 course, 3 extra
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Addition and Subtraction - two step problem solving
- Activities: 1 course, 0 extra
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Addition and Subtraction - problem solving
- Activities: 1 course, 0 extra
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Adding three numbers - problem solving
- Activities: 1 course, 1 extra
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Addition - problem solving
- Activities: 2 course, 1 extra
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Addition and subtraction (problem solving)
- Activities: 3 course, 4 extra
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Subtraction (problem solving)
- Activities: 1 course, 1 extra
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Mentals 73
- Activities: 1 course, 0 extra
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Mentals 74
- Activities: 1 course, 0 extra
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Mentals 75
- Activities: 1 course, 0 extra
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Mentals 76
- Activities: 1 course, 0 extra
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Mentals 77
- Activities: 1 course, 0 extra
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Mentals 78
- Activities: 1 course, 0 extra
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Mentals 79
- Activities: 1 course, 0 extra
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Mentals 80
- Activities: 1 course, 0 extra
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Mentals 81
- Activities: 1 course, 0 extra
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Mentals 82
- Activities: 1 course, 0 extra
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Mentals 83
- Activities: 1 course, 0 extra
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Mentals 84
- Activities: 1 course, 0 extra
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Mentals 85
- Activities: 1 course, 0 extra
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Mentals 86
- Activities: 2 course, 0 extra
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Mentals 87
- Activities: 1 course, 0 extra
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Mentals 88
- Activities: 1 course, 0 extra
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Mentals 89
- Activities: 1 course, 0 extra
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Mentals 90
- Activities: 1 course, 0 extra
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Mentals 91
- Activities: 1 course, 0 extra
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Mentals 92
- Activities: 1 course, 0 extra
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Mentals 93
- Activities: 2 course, 0 extra
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Mentals 94
- Activities: 2 course, 0 extra
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Mentals 95
- Activities: 1 course, 0 extra
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Mentals 96
- Activities: 1 course, 0 extra
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Mentals 97
- Activities: 1 course, 0 extra
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Mentals 98
- Activities: 1 course, 0 extra
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Mentals 99
- Activities: 1 course, 0 extra
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Mentals 100
- Activities: 1 course, 0 extra
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Mentals 101
- Activities: 1 course, 0 extra
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Mentals 102
- Activities: 1 course, 0 extra
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Mentals 103
- Activities: 2 course, 0 extra
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Mentals 104
- Activities: 1 course, 0 extra
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Mentals 105
- Activities: 1 course, 0 extra
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Mentals 106
- Activities: 1 course, 0 extra
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Mentals 107
- Activities: 1 course, 0 extra
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Mentals 108
- Activities: 1 course, 0 extra
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Brackets in number operations
- Activities: 1 course, 0 extra
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Brackets in number operations - Two Step
- Activities: 1 course, 0 extra
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Balancing equations - Equivalent number sentences
- Activities: 4 course, 2 extra
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51 learning outcomes – click to view
ACMNA100 – Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
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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.
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11x tables
- Activities: 2 course, 1 extra
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12x tables
- Activities: 2 course, 1 extra
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Multiplying by 10
- Activities: 4 course, 7 extra
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Multiplying by 100
- Activities: 3 course, 8 extra
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Multiplying by 10 or 100 (problem solving)
- Activities: 3 course, 8 extra
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Multiplying multiples of 10 (problem solving)
- Activities: 2 course, 1 extra
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2x-10x tables
- Activities: 5 course, 7 extra
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2x-10x tables (missing number)
- Activities: 3 course, 12 extra
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Multiplying a single-digit number by multiples of 10
- Activities: 8 course, 5 extra
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Multiples of 10 by 1 digit - problem solving
- Activities: 0 course, 1 extra
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Multiplying multiples of 10 - puzzle
- Activities: 1 course, 0 extra
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Multiplying a two-digit number by a one-digit number - problem solving
- Activities: 4 course, 8 extra
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Multiplying a two-digit number by a one-digit number
- Activities: 1 course, 2 extra
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Multiplying a two-digit number by a one-digit number - written strategy
- Activities: 4 course, 10 extra
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Multiplying a two-digit number by a one-digit number - mental strategy
- Activities: 3 course, 10 extra
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Multiplying three numbers (under 10)
- Activities: 1 course, 1 extra
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Multiplying 2 digits by a 1 digit number - Puzzle
- Activities: 1 course, 0 extra
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Multiplying multiples of 10 (missing number)
- Activities: 3 course, 8 extra
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Multiplying 2 by 1 digit (missing number)
- Activities: 2 course, 7 extra
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Identifying multiples
- Activities: 1 course, 0 extra
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Factor trees
- Activities: 1 course, 0 extra
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Identifying factors
- Activities: 2 course, 1 extra
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Common factors
- Activities: 2 course, 0 extra
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23 learning outcomes – click to view
ACMNA101 – Solve problems involving division by a one digit number, including those that result in a remainder
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10 learning outcomes – click to view
Samples: Division facts. Division facts (problem solving). Identifying the dividend. Dividing multiples of 10 by 1 digit.
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Division facts
- Activities: 5 course, 9 extra
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Division facts (problem solving)
- Activities: 1 course, 6 extra
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Division facts (missing number)
- Activities: 3 course, 2 extra
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Dividing multiples of 10 by 1 digit
- Activities: 4 course, 2 extra
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Dividing multiples of 10 by 1 digit (problem solving)
- Activities: 0 course, 1 extra
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Halving numbers
- Activities: 4 course, 5 extra
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Dividing 3 digits by 1 digit
- Activities: 7 course, 11 extra
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Dividing 3 digits by 1 digit (problem solving)
- Activities: 0 course, 2 extra
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Division (with remainders)
- Activities: 3 course, 7 extra
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Division (problem solving)
- Activities: 2 course, 7 extra
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10 learning outcomes – click to view
ACMNA291 – Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
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16 learning outcomes – click to view
Samples: Adding (problem solving). Adding and Subtracting (two step problem solving).
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Adding (problem solving)
- Activities: 1 course, 3 extra
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Addition and Subtraction - two step problem solving
- Activities: 1 course, 0 extra
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Addition and Subtraction - problem solving
- Activities: 1 course, 0 extra
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Adding three numbers - problem solving
- Activities: 1 course, 1 extra
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Addition - problem solving
- Activities: 2 course, 1 extra
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Addition and subtraction (problem solving)
- Activities: 3 course, 4 extra
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Subtraction (problem solving)
- Activities: 1 course, 1 extra
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Multiplying by 10 or 100 (problem solving)
- Activities: 3 course, 8 extra
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Multiplying multiples of 10 (problem solving)
- Activities: 2 course, 1 extra
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Multiples of 10 by 1 digit - problem solving
- Activities: 0 course, 1 extra
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Multiplying multiples of 10 - puzzle
- Activities: 1 course, 0 extra
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Multiplying a two-digit number by a one-digit number - problem solving
- Activities: 4 course, 8 extra
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Multiplying a two-digit number by a one-digit number - written strategy
- Activities: 4 course, 10 extra
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Division facts (problem solving)
- Activities: 1 course, 6 extra
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Dividing multiples of 10 by 1 digit (problem solving)
- Activities: 0 course, 1 extra
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Division (problem solving)
- Activities: 2 course, 7 extra
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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
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3 learning outcomes – click to view
Samples: Fractions on a number line. Modelling equivalent fractions. Comparing Fractions.
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Fractions on a number line.
- Activities: 4 course, 1 extra
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Modelling equivalent fractions
- Activities: 3 course, 3 extra
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Comparing fractions
- Activities: 4 course, 2 extra
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3 learning outcomes – click to view
ACMNA103 – Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
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2 learning outcomes – click to view
Samples: Adding fractions - same denominators. Adding fraction with common denominators tutorial.
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Adding and subtracting fractions - same denominator
- Activities: 5 course, 0 extra
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Add and subtract fractions (same denominators)
- Activities: 0 course, 3 extra
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2 learning outcomes – click to view
ACMNA104 – Recognise that the number system can be extended beyond hundredths
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6 learning outcomes – click to view
Samples: Placing Decimals On A Number Line. Compare and order decimals. Read and write decimals in the thousandths.
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Decimals on a number line.
- Activities: 2 course, 2 extra
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Compare and order decimals
- Activities: 1 course, 1 extra
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Read and write decimals in the thousandths
- Activities: 1 course, 0 extra
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Comparing decimals in the thousandths
- Activities: 1 course, 0 extra
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Place value (thousandths)
- Activities: 1 course, 0 extra
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Place value - thousandths
- Activities: 1 course, 0 extra
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6 learning outcomes – click to view
ACMNA105 – Compare, order and represent decimals
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2 learning outcomes – click to view
Samples: Converting 10ths and 100ths to decimals. Comparing fractions and decimals.
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Converting 10ths and 100ths to decimals
- Activities: 1 course, 0 extra
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Comparing fractions and decimals (10ths 100ths)
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
Money and financial mathematics
ACMNA106 – Create simple financial plans
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6 learning outcomes – click to view
Samples: Calculations involving money. Paying for goods. Why We Need To Save Money. Family Expenses. Income. Credit Cards.
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Money (problem solving)
- Activities: 4 course, 0 extra
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Calculations involving money
- Activities: 0 course, 2 extra
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Saving money and budgeting
- Activities: 1 course, 0 extra
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Family expenditure (cost of living)
- Activities: 1 course, 1 extra
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Income
- Activities: 1 course, 0 extra
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How credit cards work
- Activities: 1 course, 0 extra
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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
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4 learning outcomes – click to view
Samples: Represent problems using algebraic equation. Continue number patterns. Rules defining number patterns.
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Represent problems using algebraic equation
- Activities: 1 course, 0 extra
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Continuing number patterns
- Activities: 2 course, 0 extra
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Rules defining number patterns
- Activities: 1 course, 0 extra
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Equivalent number sentences (written form)
- Activities: 1 course, 0 extra
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4 learning outcomes – click to view
ACMNA121 – Use equivalent number sentences involving multiplication and division to find unknown quantities
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2 learning outcomes – click to view
Samples: Continue number patterns. Rules defining number patterns. Continue number patterns (multiplication).
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Continuing number patterns
- Activities: 2 course, 0 extra
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Rules defining number patterns
- Activities: 1 course, 0 extra
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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
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27 learning outcomes – click to view
Samples: Units of measure. Units of measure. Perimeter. Perimeter of irregular shapes. Challenge puzzle -perimeter. Length.
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Converting between kilometers and meters
- Activities: 1 course, 0 extra
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Units when measuring length (mm)
- Activities: 4 course, 3 extra
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Perimeter of squares and rectangles.
- Activities: 3 course, 4 extra
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Perimeter of irregular shapes.
- Activities: 3 course, 9 extra
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Challenge puzzle -perimeter
- Activities: 1 course, 0 extra
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Length - problem solving
- Activities: 1 course, 0 extra
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Length and money - problem solving
- Activities: 1 course, 0 extra
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Perimeter and Area
- Activities: 1 course, 0 extra
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Area and money
- Activities: 1 course, 0 extra
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Calculating area (squares and rectangles)
- Activities: 5 course, 9 extra
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Choosing appropriate units for measuring volume (mL or L)
- Activities: 1 course, 0 extra
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Estimating volume
- Activities: 1 course, 0 extra
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Choosing appropriate units for measuring volume (cm3 or m3)
- Activities: 1 course, 0 extra
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Volume of cubes and rectangular prisms using centicubes
- Activities: 2 course, 0 extra
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Volume (problem solving)
- Activities: 1 course, 0 extra
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Volume and money
- Activities: 1 course, 0 extra
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Converting between grams and kilograms
- Activities: 1 course, 0 extra
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Units for measuring mass
- Activities: 4 course, 4 extra
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Estimating mass
- Activities: 2 course, 0 extra
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Reading scales
- Activities: 2 course, 0 extra
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Mass (problem solving)
- Activities: 1 course, 0 extra
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Mass and money
- Activities: 1 course, 0 extra
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27 learning outcomes – click to view
ACMMG109 – Calculate the perimeter and area of rectangles using familiar metric units
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3 learning outcomes – click to view
Samples: Perimeter and Area. Area and money. Calculating area. Area of Squares and Rectangles.
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Perimeter and Area
- Activities: 1 course, 0 extra
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Area and money
- Activities: 1 course, 0 extra
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Calculating area (squares and rectangles)
- Activities: 5 course, 9 extra
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3 learning outcomes – click to view
ACMMG110 – Compare 12- and 24-hour time systems and convert between them
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1 learning outcomes – click to view
Samples: 24 hour time. 24 hour time - am or pm. 24 Hour Time: Convert to 'am' or 'pm'.
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24-hour time
- Activities: 8 course, 7 extra
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1 learning outcomes – click to view
Shape
ACMMG111 – Connect three-dimensional objects with their nets and other two-dimensional representations
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2 learning outcomes – click to view
Samples: Drawing 3D objects. Matching - three-dimensional objects with their nets. Drawing 3D Objects - rectangular prisms.
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Drawing three-dimensional objects
- Activities: 11 course, 9 extra
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Nets of three dimensional objects
- Activities: 4 course, 4 extra
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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
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2 learning outcomes – click to view
Samples: Using Coordinates to Read a Map. Describe routes using landmarks. Describe locations using grid reference.
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Location using a grid reference.
- Activities: 1 course, 1 extra
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Describe routes using landmarks
- Activities: 1 course, 1 extra
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2 learning outcomes – click to view
ACMMG114 – Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
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3 learning outcomes – click to view
Samples: Identify transformations - pictures. Identify line of symmetry. Rotational symmetry - shapes.
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Transformations
- Activities: 2 course, 2 extra
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Lines of symmetry
- Activities: 1 course, 1 extra
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Rotational symmetry
- Activities: 2 course, 1 extra
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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
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1 learning outcomes – click to view
Samples: Enlarging graphics using a grid. Enlarging graphics using a grid. Enlarging shapes.
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Enlargement transformation
- Activities: 2 course, 10 extra
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1 learning outcomes – click to view
Geometric reasoning
ACMMG112 – Estimate, measure and compare angles using degrees. Construct angles using a protractor
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5 learning outcomes – click to view
Samples: Measuring obtuse angles using a protractor. Estimating the size of angles. Splitting shapes.
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Measuring obtuse angles using a protractor
- Activities: 1 course, 3 extra
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Estimate the size of angles.
- Activities: 1 course, 0 extra
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Splitting shapes
- Activities: 2 course, 0 extra
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Attributes of two dimensional shapes
- Activities: 2 course, 0 extra
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Grouping shapes based on attributes
- Activities: 1 course, 0 extra
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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
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1 learning outcomes – click to view
Samples: Chance and Probability (as fractions). Chance Fraction. Chance Problem Solving. Chance Problem Solving.
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Chance and Probability (as fractions)
- Activities: 2 course, 4 extra
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1 learning outcomes – click to view
ACMSP117 – Recognise that probabilities range from 0 to 1
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1 learning outcomes – click to view
Samples: Chance from 0 to 1.
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Recognise that probabilities range from 0 to 1.
- Activities: 1 course, 0 extra
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1 learning outcomes – click to view
Data representation and interpretation
ACMSP118 – Pose questions and collect categorical or numerical data by observation or survey
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4 learning outcomes – click to view
Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet. Graphs.
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Pie graphs
- Activities: 5 course, 0 extra
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Column graphs
- Activities: 2 course, 0 extra
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Dot plots
- Activities: 1 course, 1 extra
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Interpret data presented in a spreadsheet
- Activities: 0 course, 3 extra
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4 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
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4 learning outcomes – click to view
Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet. Graphs.
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Pie graphs
- Activities: 5 course, 0 extra
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Column graphs
- Activities: 2 course, 0 extra
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Dot plots
- Activities: 1 course, 1 extra
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Interpret data presented in a spreadsheet
- Activities: 0 course, 3 extra
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4 learning outcomes – click to view
ACMSP120 – Describe and interpret different data sets in context
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4 learning outcomes – click to view
Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Adding information to a spreadsheet. Graphs.
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Pie graphs
- Activities: 5 course, 0 extra
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Column graphs
- Activities: 2 course, 0 extra
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Dot plots
- Activities: 1 course, 1 extra
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Interpret data presented in a spreadsheet
- Activities: 0 course, 3 extra
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4 learning outcomes – click to view