Mathematics – Australia – Australian Curriculum
Number and Algebra
Number and place value
ACMNA122 – Identify and describe properties of prime, composite, square and triangular numbers
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9 learning outcomes – click to view
Samples: Square root. Prime and Composite Numbers. Prime numbers. Identifying prime numbers < 100 (puzzle).
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Square root
- Activities: 1 course, 0 extra
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Prime and Composite Numbers
- Activities: 1 course, 0 extra
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Identifying prime numbers
- Activities: 2 course, 0 extra
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Identifying prime numbers < 100 (puzzle)
- Activities: 1 course, 0 extra
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Identifying prime numbers
- Activities: 1 course, 0 extra
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Index notation.
- Activities: 3 course, 6 extra
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Index notation
- Activities: 1 course, 0 extra
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Square root
- Activities: 3 course, 2 extra
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Square roots
- Activities: 1 course, 0 extra
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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
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80 learning outcomes – click to view
Samples: Large numbers presented in tables. Reading large numbers. Write numbers – over one million (common).
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Large numbers presented in tables
- Activities: 1 course, 0 extra
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Reading large numbers
- Activities: 1 course, 0 extra
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Write numbers – over one million (common)
- Activities: 1 course, 0 extra
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Write numbers – over one million
- Activities: 1 course, 0 extra
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Comparing numbers of any size
- Activities: 1 course, 0 extra
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Challenge puzzle - flow diagram
- Activities: 1 course, 0 extra
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Square root
- Activities: 1 course, 0 extra
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Negative numbers on a number line
- Activities: 2 course, 1 extra
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Prime and Composite Numbers
- Activities: 1 course, 0 extra
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Order of Operations
- Activities: 1 course, 0 extra
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Continuing Patterns
- Activities: 1 course, 0 extra
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Simplifying Ratios
- Activities: 1 course, 0 extra
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Calculating Equivalent Ratios
- Activities: 1 course, 0 extra
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Simplifying Ratios involving Units
- Activities: 1 course, 0 extra
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Numbers
- Activities: 1 course, 5 extra
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Problem Solving - Unitary Method
- Activities: 1 course, 0 extra
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Integers on a number line
- Activities: 1 course, 0 extra
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Addition and subtraction (problem solving)
- Activities: 3 course, 3 extra
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How many factors
- Activities: 1 course, 1 extra
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Identifying factors
- Activities: 2 course, 1 extra
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Identifying prime numbers
- Activities: 2 course, 0 extra
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Identifying prime numbers < 100 (puzzle)
- Activities: 1 course, 0 extra
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Identifying prime numbers
- Activities: 1 course, 0 extra
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Multiplying by multiples of 10
- Activities: 3 course, 11 extra
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Multiplying 2 by 2 digits
- Activities: 4 course, 10 extra
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Multiplying by 2 digit numbers (problem solving)
- Activities: 2 course, 6 extra
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Index notation.
- Activities: 3 course, 6 extra
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Index notation
- Activities: 1 course, 0 extra
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Square root
- Activities: 3 course, 2 extra
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Square roots
- Activities: 1 course, 0 extra
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Revision
- Activities: 5 course, 4 extra
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Dividing whole numbers by 100
- Activities: 3 course, 0 extra
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Division (estimation)
- Activities: 2 course, 0 extra
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Division (no remainders)
- Activities: 1 course, 3 extra
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Dividing large numbers (problem solving)
- Activities: 2 course, 4 extra
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Division puzzle
- Activities: 1 course, 0 extra
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Division (problem solving)
- Activities: 1 course, 0 extra
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Long division
- Activities: 2 course, 2 extra
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Long division - problem solving
- Activities: 1 course, 5 extra
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Balancing equations - Equivalent number sentences
- Activities: 5 course, 10 extra
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Challenge puzzle - balancing equations
- Activities: 1 course, 0 extra
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Order of operations : Multiply before adding
- Activities: 3 course, 0 extra
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Order of operations - Multiply before subtracting
- Activities: 2 course, 0 extra
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Order of operations - mixed
- Activities: 4 course, 2 extra
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Mentals 109
- Activities: 1 course, 0 extra
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Mentals 110
- Activities: 1 course, 0 extra
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Mentals 111
- Activities: 1 course, 0 extra
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Mentals 112
- Activities: 1 course, 0 extra
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Mentals 113
- Activities: 1 course, 0 extra
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Mentals 114
- Activities: 1 course, 0 extra
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Mentals 115
- Activities: 1 course, 0 extra
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Mentals 116
- Activities: 1 course, 0 extra
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Mentals 117
- Activities: 1 course, 0 extra
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Mentals 118
- Activities: 1 course, 0 extra
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Mentals 119
- Activities: 1 course, 0 extra
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Mentals 120
- Activities: 1 course, 0 extra
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Mentals 121
- Activities: 1 course, 0 extra
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Mentals 122
- Activities: 1 course, 0 extra
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Mentals 123
- Activities: 1 course, 0 extra
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Mentals 124
- Activities: 1 course, 0 extra
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Mentals 125
- Activities: 1 course, 0 extra
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Mentals 126
- Activities: 1 course, 0 extra
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Mentals 127
- Activities: 1 course, 0 extra
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Mentals 128
- Activities: 1 course, 0 extra
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Mentals 129
- Activities: 1 course, 0 extra
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Mentals 130
- Activities: 1 course, 0 extra
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Mentals 131
- Activities: 1 course, 0 extra
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Mentals 132
- Activities: 1 course, 0 extra
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Mentals 133
- Activities: 1 course, 0 extra
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Mentals 134
- Activities: 1 course, 0 extra
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Mentals 135
- Activities: 1 course, 0 extra
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Mentals 136
- Activities: 1 course, 0 extra
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Mentals 137
- Activities: 1 course, 0 extra
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Mentals 138
- Activities: 1 course, 0 extra
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Mentals 139
- Activities: 1 course, 0 extra
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Mentals 140
- Activities: 1 course, 0 extra
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Mentals 141
- Activities: 1 course, 0 extra
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Mentals 142
- Activities: 1 course, 0 extra
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Mentals 143
- Activities: 1 course, 0 extra
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Mentals 144
- Activities: 1 course, 0 extra
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80 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
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10 learning outcomes – click to view
Samples: Negative numbers. Numbers. Problem Solving - Unitary Method. Integers on a number line.
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Negative numbers on a number line
- Activities: 2 course, 1 extra
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Numbers
- Activities: 1 course, 5 extra
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Problem Solving - Unitary Method
- Activities: 1 course, 0 extra
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Integers on a number line
- Activities: 1 course, 0 extra
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Addition and subtraction (problem solving)
- Activities: 3 course, 3 extra
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Multiplying by 2 digit numbers (problem solving)
- Activities: 2 course, 6 extra
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Revision
- Activities: 5 course, 4 extra
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Dividing large numbers (problem solving)
- Activities: 2 course, 4 extra
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Division (problem solving)
- Activities: 1 course, 0 extra
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Long division - problem solving
- Activities: 1 course, 5 extra
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10 learning outcomes – click to view
Fractions and decimals
ACMNA125 – Compare fractions with related denominators and locate and represent them on a number line
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12 learning outcomes – click to view
Samples: Equivalence to a half - identifying the numerator. Comparing fractions to a half.
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Equivalence to a half - identifying the numerator
- Activities: 1 course, 0 extra
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Comparing fractions to a half
- Activities: 1 course, 0 extra
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Comparing fractions - identify the smallest
- Activities: 1 course, 0 extra
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Comparing fractions - identify the largest
- Activities: 1 course, 0 extra
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Comparing fractions (< = >)
- Activities: 1 course, 0 extra
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Calculating equivalent fractions
- Activities: 4 course, 9 extra
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Reducing fractions to their simplest form.
- Activities: 3 course, 2 extra
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Convert improper fractions to mixed numbers
- Activities: 2 course, 1 extra
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Converting mixed numbers to improper frac.
- Activities: 2 course, 1 extra
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Simplifying answers to their lowest form
- Activities: 1 course, 0 extra
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Solving improper fractions (by division)
- Activities: 1 course, 0 extra
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Converting improper fractions to mixed fractions
- Activities: 1 course, 0 extra
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12 learning outcomes – click to view
ACMNA126 – Solve problems involving addition and subtraction of fractions with the same or related denominators
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6 learning outcomes – click to view
Samples: Adding and Subtracting Related Fractions. Adding fractions (with clues). Adding fractions. Subtracting fractions.
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Adding related fractions
- Activities: 2 course, 1 extra
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Adding fractions (with clues)
- Activities: 1 course, 0 extra
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Adding fractions
- Activities: 1 course, 0 extra
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Subtracting fractions
- Activities: 1 course, 0 extra
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Adding mixed fractions
- Activities: 1 course, 0 extra
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Adding and subtracting fractions
- Activities: 1 course, 0 extra
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6 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
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11 learning outcomes – click to view
Samples: Fractions of numbers. Fractions of a number. Simple fractions of quantities (problem solving).
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Fractions of numbers
- Activities: 1 course, 0 extra
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Simple fractions of quantities
- Activities: 6 course, 2 extra
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Simple fractions of quantities (problem solving)
- Activities: 3 course, 1 extra
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Calculating percentages
- Activities: 3 course, 1 extra
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Dividing whole numbers by fractions
- Activities: 2 course, 0 extra
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Division- Answers as fractions
- Activities: 1 course, 0 extra
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Division - Answers as fractions (problem solving)
- Activities: 1 course, 0 extra
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Multiplying fractions
- Activities: 1 course, 3 extra
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Calculating percentages
- Activities: 2 course, 0 extra
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Multiplying fractions (problem solving)
- Activities: 1 course, 0 extra
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Divide whole numbers by fractions (problem solving)
- Activities: 1 course, 0 extra
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11 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
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4 learning outcomes – click to view
Samples: Rounding decimals to whole numbers. Converting fractions to percentages. Adding Decimals. Subtracting Decimals.
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Rounding decimals to whole numbers
- Activities: 1 course, 0 extra
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Matching fractions, decimals and percentages.
- Activities: 3 course, 6 extra
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Adding decimals
- Activities: 5 course, 3 extra
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Subtracting decimals
- Activities: 4 course, 3 extra
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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
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2 learning outcomes – click to view
Samples: Dividing a whole number by 10. Multiplying Decimals By A Single Digit Number.
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Dividing whole numbers by 10 (problem solving)
- Activities: 5 course, 0 extra
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Multiplying decimals by a whole number
- Activities: 2 course, 6 extra
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2 learning outcomes – click to view
ACMNA130 – Multiply and divide decimals by powers of 10
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3 learning outcomes – click to view
Samples: Dividing a whole number by 10. Multiplying Decimals By 10. Multiplying decimals by 1000.
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Dividing whole numbers by 10 (problem solving)
- Activities: 5 course, 0 extra
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Multiplying decimals by 10
- Activities: 2 course, 4 extra
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Multiplying decimals by 1000
- Activities: 1 course, 0 extra
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3 learning outcomes – click to view
ACMNA131 – Make connections between equivalent fractions, decimals and percentages
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1 learning outcomes – click to view
Samples: Converting fractions to percentages. Converting fractions and decimals to percentages.
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Matching fractions, decimals and percentages.
- Activities: 3 course, 6 extra
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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
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12 learning outcomes – click to view
Samples: Calculations involving money. Calculate cost according to mass, length or volume. Money. Calculating Best Buy.
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Calculations involving money
- Activities: 1 course, 0 extra
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Calculate cost according to mass, length or volume
- Activities: 1 course, 0 extra
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Money
- Activities: 1 course, 0 extra
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Calculating best buys.
- Activities: 1 course, 0 extra
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Calculating discounts
- Activities: 1 course, 0 extra
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Two step calculations(money)
- Activities: 1 course, 0 extra
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Profit and loss
- Activities: 1 course, 0 extra
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Calculating interest on loans
- Activities: 1 course, 0 extra
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Understanding loans
- Activities: 1 course, 0 extra
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Understanding expenditure - My Cell Phone
- Activities: 1 course, 0 extra
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Calculating discounts
- Activities: 1 course, 0 extra
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Understanding invoices
- Activities: 1 course, 0 extra
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12 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
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13 learning outcomes – click to view
Samples: Multiplying by multiples of 10. Equivalence to a half - identifying the numerator. Equivalent fractions.
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Multiplying by multiples of 10
- Activities: 3 course, 11 extra
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Equivalence to a half - identifying the numerator
- Activities: 1 course, 0 extra
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Calculating equivalent fractions
- Activities: 4 course, 9 extra
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Reducing fractions to their simplest form.
- Activities: 3 course, 2 extra
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Dividing whole numbers by 10 (problem solving)
- Activities: 5 course, 0 extra
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Matching fractions, decimals and percentages.
- Activities: 3 course, 6 extra
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Multiplying decimals by 10
- Activities: 2 course, 4 extra
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Multiplying decimals by a whole number
- Activities: 2 course, 6 extra
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Multiplying decimals by 1000
- Activities: 1 course, 0 extra
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Applying rules to number tables
- Activities: 1 course, 0 extra
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Identifying expressions
- Activities: 1 course, 2 extra
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Continuing number sequences
- Activities: 1 course, 7 extra
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Substituting numbers for letters
- Activities: 1 course, 0 extra
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13 learning outcomes – click to view
ACMNA134 – Explore the use of brackets and order of operations to write number sentences
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5 learning outcomes – click to view
Samples: Balancing equations Addition of larger numbers. Challenge puzzle - balancing equations.
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Balancing equations - Equivalent number sentences
- Activities: 5 course, 10 extra
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Challenge puzzle - balancing equations
- Activities: 1 course, 0 extra
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Order of operations : Multiply before adding
- Activities: 3 course, 0 extra
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Order of operations - Multiply before subtracting
- Activities: 2 course, 0 extra
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Order of operations - mixed
- Activities: 4 course, 2 extra
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5 learning outcomes – click to view
Measurement and Geometry
Using units of measurement
ACMMG135 – Connect decimal representations to the metric system
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1 learning outcomes – click to view
Samples: Converting between units of length. Length - using decimals and matching equivalence.
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Converting between units of length
- Activities: 1 course, 1 extra
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1 learning outcomes – click to view
ACMMG136 – Convert between common metric units of length, mass and capacity
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18 learning outcomes – click to view
Samples: Multiply a decimal number by 1000. Converting between units of length. Converting from kilograms to grams.
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Multiply a decimal number by 1000
- Activities: 1 course, 0 extra
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Converting between metric units of length.
- Activities: 1 course, 8 extra
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Converting from kilograms to grams
- Activities: 1 course, 0 extra
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Converting from tonnes to kilograms
- Activities: 1 course, 0 extra
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Dividing numbers by 1000 (numbers > 1000)
- Activities: 1 course, 0 extra
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Dividing numbers by 1000 (numbers < 1000)
- Activities: 1 course, 0 extra
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Converting from grams to kilograms
- Activities: 2 course, 0 extra
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Convert units of mass - between kilograms and grams
- Activities: 5 course, 22 extra
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Converting from kilograms to tonnes
- Activities: 1 course, 0 extra
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Convert units of mass - between kilograms and tonnes
- Activities: 2 course, 11 extra
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Convert between units of mass
- Activities: 1 course, 0 extra
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Common measurement fractions
- Activities: 1 course, 0 extra
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Customary Units - converting between customary units of length.
- Activities: 1 course, 0 extra
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Converting between litres and millilitres (both ways)
- Activities: 1 course, 0 extra
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18 learning outcomes – click to view
ACMMG137 – Solve problems involving the comparison of lengths and areas using appropriate units
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11 learning outcomes – click to view
Samples: Converting between units of length. Length. Calculating distances on a map. Length and Money.
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Converting between units of length
- Activities: 1 course, 1 extra
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Length - problem solving
- Activities: 4 course, 4 extra
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Calculating distances on a map
- Activities: 2 course, 1 extra
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Length and Money - problem solving
- Activities: 1 course, 0 extra
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Length
- Activities: 0 course, 1 extra
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Area of irregular shapes
- Activities: 3 course, 2 extra
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Calculate the area of irregular shapes.
- Activities: 0 course, 3 extra
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Area
- Activities: 1 course, 0 extra
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Challenge Puzzle - area of irregular shapes
- Activities: 1 course, 0 extra
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Area and money
- Activities: 1 course, 0 extra
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Area (problem solving)
- Activities: 2 course, 7 extra
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11 learning outcomes – click to view
ACMMG138 – Connect volume and capacity and their units of measurement
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16 learning outcomes – click to view
Samples: Volume and Capacity. Volume. Cubic metres. Calculating volume. Connect volume (cm3) to capacity (mL). Volume.
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Volume and Capacity
- Activities: 2 course, 7 extra
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Volume
- Activities: 1 course, 0 extra
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The cubic metre
- Activities: 1 course, 0 extra
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Volume of rectangular prisms
- Activities: 4 course, 6 extra
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Connect volume (cm3) to capacity (mL)
- Activities: 1 course, 0 extra
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Volume
- Activities: 1 course, 0 extra
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Volume and money
- Activities: 1 course, 0 extra
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Estimating mass (animals)
- Activities: 1 course, 0 extra
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Cost based on mass
- Activities: 1 course, 0 extra
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Mass (problem solving)
- Activities: 1 course, 2 extra
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Mass (converting between units)
- Activities: 1 course, 0 extra
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Mass and Money
- Activities: 1 course, 0 extra
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Mass (problem solving)
- Activities: 1 course, 0 extra
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Reading scales and calculating costs
- Activities: 1 course, 0 extra
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Mass printables
- Activities: 0 course, 6 extra
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Flash based activities
- Activities: 0 course, 5 extra
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16 learning outcomes – click to view
ACMMG139 – Interpret and use timetables
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2 learning outcomes – click to view
Samples: Interpret timetables. Time. Time Problem Solving. Interpret timetables: Activity 2. Time Problem Solving.
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Interpret timetables
- Activities: 1 course, 6 extra
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Time
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
Shape
ACMMG140 – Construct simple prisms and pyramids
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2 learning outcomes – click to view
Samples: Naming prisms and pyramids. Challenge Puzzle - prisms and pyramids. Prisms and pyramids. Naming prisms and pyramids.
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Identifying properties and naming prisms and pyramids
- Activities: 2 course, 11 extra
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Challenge Puzzle - prisms and pyramids
- Activities: 1 course, 0 extra
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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
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1 learning outcomes – click to view
Samples: Translations, reflections and rotations. Combinations of translations, reflections and rotations.
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Combinations of translations, reflections and rotations
- Activities: 1 course, 1 extra
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1 learning outcomes – click to view
ACMMG143 – Introduce the Cartesian coordinate system using all four quadrants
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1 learning outcomes – click to view
Samples: Cartesian Plane - Identify location. Cartesian coordinate system: Activity 1.
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Cartesian Plane - Identify location
- Activities: 1 course, 5 extra
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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
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9 learning outcomes – click to view
Samples: Angles within a circle. Identifying angles at intersecting lines. Naming angles within shapes.
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Angles within a circle
- Activities: 1 course, 0 extra
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Naming angles
- Activities: 4 course, 3 extra
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Naming angles within shapes
- Activities: 1 course, 0 extra
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Measure and classify angles.
- Activities: 1 course, 2 extra
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Angles in shapes
- Activities: 1 course, 0 extra
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Angles on a straight line
- Activities: 2 course, 4 extra
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Challenge puzzle - angles
- Activities: 1 course, 0 extra
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Naming triangles
- Activities: 2 course, 1 extra
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Parts of a Circle
- Activities: 4 course, 0 extra
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9 learning outcomes – click to view
Statistics and Probability
Chance
ACMSP144 – Describe probabilities using fractions, decimals and percentages
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4 learning outcomes – click to view
Samples: Describe probabilities using decimals. Chance. Chance (percentages). Probability - fractions.
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Describe probabilities using decimals.
- Activities: 3 course, 0 extra
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Chance
- Activities: 1 course, 0 extra
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Chance (percentages)
- Activities: 2 course, 1 extra
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Describe probabilities using fractions.
- Activities: 1 course, 2 extra
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4 learning outcomes – click to view
ACMSP145 – Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies
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7 learning outcomes – click to view
Samples: Chance and Probability (as fractions). Chance. Chance from 0 to 1. Describe probabilities using decimals. Chance.
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Chance and Probability (as fractions)
- Activities: 2 course, 4 extra
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Chance
- Activities: 1 course, 0 extra
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Recognise that probabilities range from 0 to 1.
- Activities: 1 course, 0 extra
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Describe probabilities using decimals.
- Activities: 3 course, 0 extra
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Chance
- Activities: 1 course, 0 extra
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Chance (percentages)
- Activities: 2 course, 1 extra
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Describe probabilities using fractions.
- Activities: 1 course, 2 extra
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7 learning outcomes – click to view
ACMSP146 – Compare observed frequencies across experiments with expected frequencies
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7 learning outcomes – click to view
Samples: Chance and Probability (as fractions). Chance. Chance from 0 to 1. Describe probabilities using decimals. Chance.
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Chance and Probability (as fractions)
- Activities: 2 course, 4 extra
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Chance
- Activities: 1 course, 0 extra
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Recognise that probabilities range from 0 to 1.
- Activities: 1 course, 0 extra
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Describe probabilities using decimals.
- Activities: 3 course, 0 extra
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Chance
- Activities: 1 course, 0 extra
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Chance (percentages)
- Activities: 2 course, 1 extra
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Describe probabilities using fractions.
- Activities: 1 course, 2 extra
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7 learning outcomes – click to view
Data representation and interpretation
ACMSP147 – Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables
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10 learning outcomes – click to view
Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.
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Pie graph
- Activities: 3 course, 0 extra
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Interpret data presented in column graphs
- Activities: 1 course, 0 extra
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Interpret dot plots
- Activities: 1 course, 1 extra
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Interpret data presented using a simple pie graph
- Activities: 1 course, 0 extra
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Interpret data presented in a spreadsheet
- Activities: 1 course, 3 extra
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Interpret and compare data presented using a column graph
- Activities: 1 course, 3 extra
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Interpret dot plots
- Activities: 1 course, 2 extra
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Interpret line graphs
- Activities: 1 course, 0 extra
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Interpreting pie graphs
- Activities: 1 course, 0 extra
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Interpret data presented using a pie graph
- Activities: 1 course, 9 extra
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10 learning outcomes – click to view
ACMSP148 – Interpret secondary data presented in digital media and elsewhere
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10 learning outcomes – click to view
Samples: Pie Graphs. Interpreting column graphs - 5. Interpreting Dot Plots. Interpreting a pie graph. Interpret a spreadsheet.
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Pie graph
- Activities: 3 course, 0 extra
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Interpret data presented in column graphs
- Activities: 1 course, 0 extra
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Interpret dot plots
- Activities: 1 course, 1 extra
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Interpret data presented using a simple pie graph
- Activities: 1 course, 0 extra
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Interpret data presented in a spreadsheet
- Activities: 1 course, 3 extra
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Interpret and compare data presented using a column graph
- Activities: 1 course, 3 extra
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Interpret dot plots
- Activities: 1 course, 2 extra
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Interpret line graphs
- Activities: 1 course, 0 extra
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Interpreting pie graphs
- Activities: 1 course, 0 extra
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Interpret data presented using a pie graph
- Activities: 1 course, 9 extra
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10 learning outcomes – click to view