Mathematics – New Zealand – National Standards
7.NA – Number and algebra
7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
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119 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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Adding two digit numbers using blocks (with regrouping)
- Activities: 1 course, 0 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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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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Equivalence to a half - identifying the numerator
- Activities: 1 course, 0 extra
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Fractions of numbers
- 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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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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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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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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Converting mixed numbers to improper frac.
- Activities: 2 course, 1 extra
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Adding related fractions
- Activities: 2 course, 1 extra
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Multiplying fractions
- Activities: 1 course, 3 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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Dividing whole numbers by fractions
- Activities: 2 course, 0 extra
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Subtracting fractions
- Activities: 1 course, 0 extra
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Calculating percentages
- Activities: 2 course, 0 extra
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Adding mixed fractions
- Activities: 1 course, 0 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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Adding and subtracting fractions
- Activities: 1 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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Multiplying Mixed Fractions
- Activities: 1 course, 0 extra
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Multiplying and Dividing Fractions
- Activities: 1 course, 0 extra
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Adding fractions with the same denominators
- Activities: 0 course, 1 extra
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Increasing by a Percentage
- Activities: 1 course, 0 extra
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Simple Interest
- Activities: 0 course, 1 extra
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Decreasing by a Percentage
- Activities: 0 course, 1 extra
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Discounting
- Activities: 1 course, 1 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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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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119 learning outcomes – click to view
7.NA.2 – Apply additive strategies to decimals
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22 learning outcomes – click to view
Samples: Common decimals from 0 to 1 (tenths). Matching fractions to decimals. Converting 10ths and 100ths to decimals.
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Common decimals from 0 to 1 (tenths)
- Activities: 4 course, 0 extra
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Matching fractions to decimals
- Activities: 1 course, 2 extra
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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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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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Rounding decimals to whole numbers
- Activities: 1 course, 0 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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Adding decimals
- Activities: 5 course, 3 extra
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Subtracting decimals
- Activities: 4 course, 3 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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Decimal Numbers - Expanded Form
- Activities: 1 course, 0 extra
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Percentages as Decimals
- Activities: 1 course, 0 extra
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Multiplying decimals by decimals
- Activities: 0 course, 1 extra
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Changing mixed fractions to decimals
- Activities: 0 course, 1 extra
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22 learning outcomes – click to view
7.NA.3 – Balance positive and negative amounts
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7 learning outcomes – click to view
Samples: Negative numbers. Order of Operations. Numbers. Integers on a number line. Brackets in number operations.
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Negative numbers on a number line
- Activities: 2 course, 1 extra
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Order of Operations
- Activities: 1 course, 0 extra
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Numbers
- Activities: 1 course, 5 extra
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Integers on a number line
- 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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7 learning outcomes – click to view
7.NA.4 – Find and represent relationships in spatial and number patterns, using:
7.NA.4.a – Tables and graphs
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2 learning outcomes – click to view
Samples: Substituting numbers for letters. Substituting Numerals. Equations Involving Addition. Calculating the nth Term.
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Substituting numbers for letters
- Activities: 1 course, 0 extra
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Substituting Numerals
- Activities: 1 course, 4 extra
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2 learning outcomes – click to view
7.NA.4.b – General rules for linear relationships.
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12 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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Continue 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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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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Substituting Numerals
- Activities: 1 course, 4 extra
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Subtraction of Like Terms
- Activities: 0 course, 1 extra
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Patterns and Algebra
- Activities: 0 course, 2 extra
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Equations Involving Subtraction
- Activities: 1 course, 0 extra
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12 learning outcomes – click to view
7.GM – Geometry and measurement
7.GM.1 – Measure time and the attributes of objects, using metric and other standard measures
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19 learning outcomes – click to view
Samples: 24 hour time. 24 Hour Time. Interpret timetables. Time. Converting between grams and kilograms. The tonne.
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24 hour time - am or pm
- Activities: 4 course, 7 extra
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24 Hour Time
- Activities: 1 course, 0 extra
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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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Converting between grams and kilograms
- Activities: 1 course, 0 extra
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Choosing appropriate units for measuring mass
- Activities: 2 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
- Activities: 1 course, 0 extra
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Mass 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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19 learning outcomes – click to view
7.GM.2 – Make simple conversions between units, using whole numbers
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11 learning outcomes – click to view
Samples: Units Of Measure Metric. Units Of Measure Metric. Perimeter. Perimeter of irregular shapes.
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Converting between kilometers and meters
- Activities: 2 course, 0 extra
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Choose appropriate units when measuring length.
- Activities: 2 course, 2 extra
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Perimeter of squares and rectangles.
- Activities: 3 course, 5 extra
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Perimeter of irregular shapes.
- Activities: 2 course, 12 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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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
- Activities: 0 course, 1 extra
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11 learning outcomes – click to view
7.GM.3 – Use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given whole-number dimensions
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21 learning outcomes – click to view
Samples: Perimeter and Area. Calculating Area. Calculating the Area of Irregular Shapes.
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Perimeter and Area
- Activities: 1 course, 0 extra
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Calculating area (squares and rectangles)
- Activities: 4 course, 7 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 (problem solving)
- Activities: 2 course, 7 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
- Activities: 1 course, 0 extra
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Volume and money
- Activities: 1 course, 0 extra
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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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The cubic meter
- 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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21 learning outcomes – click to view
7.GM.4 – Sort two- and three-dimensional shapes into classes, defining properties and justifying the decisions made
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18 learning outcomes – click to view
Samples: Measuring obtuse angles using a protractor. Estimating the size of angles. Angles within a circle.
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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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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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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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Naming triangles
- Activities: 2 course, 1 extra
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Parts of a Circle
- Activities: 4 course, 0 extra
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Draw three-dimensional shapes
- Activities: 6 course, 9 extra
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Nets of three dimensional objects
- Activities: 4 course, 4 extra
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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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18 learning outcomes – click to view
7.GM.5 – Identify and describe the transformations that have produced given shapes or patterns
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5 learning outcomes – click to view
Samples: Identify transformations - pictures. Rotational symmetry - shapes. Enlarging graphics using a grid.
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Identify transformations - pictures
- Activities: 1 course, 2 extra
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Rotational symmetry - shapes
- Activities: 1 course, 1 extra
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Apply enlargement transformation
- Activities: 1 course, 10 extra
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Combinations of translations, reflections and rotations
- Activities: 1 course, 1 extra
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Cartesian Plane - Identify location
- Activities: 1 course, 5 extra
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5 learning outcomes – click to view
7.GM.6 – Create or identify nets for rectangular prisms and other simple solids
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3 learning outcomes – click to view
Samples: Drawing 3D objects. Matching - three-dimensional objects with their nets. Naming prisms and pyramids.
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Draw three-dimensional shapes
- Activities: 6 course, 9 extra
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Nets of three dimensional objects
- Activities: 4 course, 4 extra
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Identifying properties and naming prisms and pyramids
- Activities: 2 course, 11 extra
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3 learning outcomes – click to view
7.GM.7 – Draw plan, front, side, and perspective views of objects
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4 learning outcomes – click to view
Samples: Drawing 3D objects. Matching - three-dimensional objects with their nets. Naming prisms and pyramids.
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Draw three-dimensional shapes
- Activities: 6 course, 9 extra
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Nets of three dimensional objects
- Activities: 4 course, 4 extra
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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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4 learning outcomes – click to view
7.GM.8 – Describe locations and give directions, using grid references, simple scales, turns, and points of the compass.
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4 learning outcomes – click to view
Samples: Using grid references. Using Coordinates to Read a Map. Cartesian Plane - Identify location.
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Using grid references
- Activities: 1 course, 10 extra
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Describe locations using a grid reference.
- Activities: 1 course, 1 extra
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Cartesian Plane - Identify location
- Activities: 1 course, 5 extra
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Interpreting complex maps
- Activities: 1 course, 4 extra
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4 learning outcomes – click to view
7.S – Statistics
7.S.1 – Investigate summary, comparison, and relationship questions by using the statistical enquiry cycle:
7.S.1.a – Gather or access multivariate category and measurement data
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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
7.S.1.b – Sort data and display it in multiple ways, identifying patterns and variations
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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
7.S.1.c – Interpret results in context, accepting that samples vary and have no effect on one another
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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
7.S.2 – Order the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes.
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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