## Mathematics – New Zealand – National Standards

• ##### 6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:
• 6.NA.1.a – Combine or partition whole numbers, including performing mixed operations and using addition and subtraction as inverse operations

• 80 learning outcomes – click to view

Samples: Write numbers – to 100 000. Reading numbers – to 100,000. Comparing numbers – to 100,000. Expanded notation.

• #### Write numbers – to 100,000

• Activities: 2 course, 0 extra
• #### Reading numbers – to 100,000

• Activities: 1 course, 0 extra
• #### Comparing numbers – to 100,000

• Activities: 1 course, 0 extra
• #### Expanded notation (no clues given)

• Activities: 1 course, 0 extra
• #### Adding two digit numbers (missing number)

• Activities: 2 course, 5 extra
• #### Make 100

• Activities: 2 course, 2 extra
• #### Make 100 - problem solving

• Activities: 2 course, 3 extra
• #### Challenge puzzle - make 100

• Activities: 1 course, 0 extra

• Activities: 4 course, 27 extra
• #### Adding large numbers (problem solving)

• Activities: 2 course, 10 extra
• #### Addition of large numbers (puzzle)

• Activities: 1 course, 0 extra

• Activities: 5 course, 10 extra
• #### Adding and subtracting (problem solving)

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

• Activities: 2 course, 4 extra
• #### Adding on to multiples of 10

• Activities: 2 course, 1 extra

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

• Activities: 1 course, 0 extra
• #### Adding and Subtracting (problem solving)

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

• Activities: 1 course, 1 extra

• Activities: 1 course, 0 extra
• #### Subtracting two digit numbers (adding on)

• Activities: 3 course, 0 extra
• #### Subtracting two digit numbers (jump back strategy)

• Activities: 4 course, 16 extra
• #### Subtracting two digit numbers (written strategy)

• Activities: 5 course, 10 extra
• #### Subtracting two digit numbers

• Activities: 1 course, 1 extra
• #### Subtracting two digit numbers (problem solving)

• Activities: 5 course, 18 extra
• #### Challenge puzzle - two digit subtraction

• Activities: 1 course, 0 extra
• #### Subtracting three digit numbers

• Activities: 2 course, 0 extra
• #### Subtracting from 1000

• Activities: 3 course, 10 extra
• #### Subtracting from 1000 (problem solving)

• Activities: 2 course, 5 extra
• #### Subtracting large numbers

• Activities: 4 course, 14 extra
• #### Subtracting large numbers (problem solving)

• Activities: 2 course, 5 extra
• #### Subtracting from 1000 and 10000 (problem solving)

• Activities: 2 course, 1 extra
• #### Subtraction - missing number

• Activities: 1 course, 2 extra
• #### Addition and subtraction (problem solving)

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

• Activities: 1 course, 0 extra
• #### Balancing equations - Equivalent number sentences

• Activities: 2 course, 0 extra
• #### Brackets in number operations

• Activities: 1 course, 0 extra
• #### Brackets in number operations - Two Step

• Activities: 1 course, 0 extra
• #### Balancing equations - Equivalent number sentences

• Activities: 4 course, 2 extra
• #### Mentals 73

• Activities: 1 course, 0 extra
• #### Mentals 74

• Activities: 1 course, 0 extra
• #### Mentals 75

• Activities: 1 course, 0 extra
• #### Mentals 76

• Activities: 1 course, 0 extra
• #### Mentals 77

• Activities: 1 course, 0 extra
• #### Mentals 78

• Activities: 1 course, 0 extra
• #### Mentals 79

• Activities: 1 course, 0 extra
• #### Mentals 80

• Activities: 1 course, 0 extra
• #### Mentals 81

• Activities: 1 course, 0 extra
• #### Mentals 82

• Activities: 1 course, 0 extra
• #### Mentals 83

• Activities: 1 course, 0 extra
• #### Mentals 84

• Activities: 1 course, 0 extra
• #### Mentals 85

• Activities: 1 course, 0 extra
• #### Mentals 86

• Activities: 2 course, 0 extra
• #### Mentals 87

• Activities: 1 course, 0 extra
• #### Mentals 88

• Activities: 1 course, 0 extra
• #### Mentals 89

• Activities: 1 course, 0 extra
• #### Mentals 90

• Activities: 1 course, 0 extra
• #### Mentals 91

• Activities: 1 course, 0 extra
• #### Mentals 92

• Activities: 1 course, 0 extra
• #### Mentals 93

• Activities: 2 course, 0 extra
• #### Mentals 94

• Activities: 2 course, 0 extra
• #### Mentals 95

• Activities: 1 course, 0 extra
• #### Mentals 96

• Activities: 1 course, 0 extra
• #### Mentals 97

• Activities: 1 course, 0 extra
• #### Mentals 98

• Activities: 1 course, 0 extra
• #### Mentals 99

• Activities: 1 course, 0 extra
• #### Mentals 100

• Activities: 1 course, 0 extra
• #### Mentals 101

• Activities: 1 course, 0 extra
• #### Mentals 102

• Activities: 1 course, 0 extra
• #### Mentals 103

• Activities: 2 course, 0 extra
• #### Mentals 104

• Activities: 1 course, 0 extra
• #### Mentals 105

• Activities: 1 course, 0 extra
• #### Mentals 106

• Activities: 1 course, 0 extra
• #### Mentals 107

• Activities: 1 course, 0 extra
• #### Mentals 108

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• #### Ordering large numbers

• Activities: 1 course, 6 extra
• #### Write numbers – to 1,000,000 (common)

• Activities: 1 course, 0 extra
• #### Write numbers – to 1,000,000

• Activities: 1 course, 0 extra
• #### Comparing large numbers

• Activities: 1 course, 0 extra
• 6.NA.1.b – Find fractions of sets, shapes, and quantities

• 50 learning outcomes – click to view

Samples: Dividing by 6. Dividing by 6 (problem solving). Dividing by 7. Dividing by 7 (problem solving).

• #### Dividing by 6

• Activities: 2 course, 1 extra
• #### Dividing by 6 (problem solving)

• Activities: 3 course, 3 extra
• #### Dividing by 7

• Activities: 2 course, 1 extra
• #### Dividing by 7 (problem solving)

• Activities: 3 course, 3 extra
• #### Dividing by 8 (problem solving)

• Activities: 3 course, 3 extra
• #### Dividing by 8

• Activities: 2 course, 1 extra
• #### Dividing by 9 (problem solving)

• Activities: 3 course, 5 extra
• #### Dividing by 9

• Activities: 2 course, 1 extra
• #### Division facts

• Activities: 3 course, 8 extra
• #### Division facts (problem solving)

• Activities: 2 course, 7 extra
• #### Division facts (missing number)

• Activities: 2 course, 2 extra
• #### Dividing multiples of 10 by 1 digit

• Activities: 2 course, 1 extra
• #### Dividing multiples of 10 by 1 digit (problem solving)

• Activities: 1 course, 2 extra
• #### Halving numbers

• Activities: 3 course, 4 extra
• #### Dividing 3 digits by 1 digit (no remainders)

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

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

• Activities: 3 course, 8 extra
• #### Division (problem solving)

• Activities: 4 course, 7 extra
• #### Fractions of an area

• Activities: 1 course, 1 extra
• #### Comparing fractions as quantities.

• Activities: 2 course, 0 extra
• #### Comparing fractions - 1 whole

• Activities: 1 course, 0 extra
• #### Modelling equivalent fractions.

• Activities: 2 course, 3 extra
• #### Matching equivalent fractions

• Activities: 1 course, 0 extra
• #### Hundredths in their lowest forms

• Activities: 2 course, 0 extra
• #### Identifying simple fractions

• Activities: 1 course, 0 extra
• #### Count by halves, thirds, quarters and eighths.

• Activities: 1 course, 0 extra
• #### Tenths and hundredths.

• Activities: 2 course, 4 extra
• #### Compare to one half.

• Activities: 1 course, 0 extra
• #### Compare fractions: using comparison symbols (<, =, >)

• Activities: 1 course, 0 extra
• #### Compare and order fractions.

• Activities: 2 course, 2 extra
• #### Adding and subtracting fractions - problem solving

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

• Activities: 1 course, 0 extra
• #### Add and subtract fractions (same denominators)

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

• Activities: 1 course, 0 extra
• #### Multiplying fractions by a whole number - visual

• Activities: 1 course, 0 extra
• #### Calculations involving money

• Activities: 1 course, 0 extra
• #### Calculations involving money

• Activities: 1 course, 2 extra
• #### Saving money and budgeting

• Activities: 1 course, 0 extra
• #### Family expenditure (cost of living)

• Activities: 1 course, 1 extra
• #### Income

• Activities: 1 course, 0 extra
• #### How credit cards work

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

• Activities: 5 course, 4 extra
• #### Dividing whole numbers by 100

• Activities: 2 course, 0 extra
• #### Division (estimation)

• Activities: 2 course, 0 extra
• #### Dividing (no remainders)

• Activities: 1 course, 3 extra
• #### Dividing large numbers (problem solving)

• Activities: 2 course, 4 extra
• #### Division puzzle

• Activities: 1 course, 0 extra
• #### Division (problem solving)

• Activities: 2 course, 0 extra
• #### Long division

• Activities: 2 course, 2 extra
• #### Long division - problem solving

• Activities: 1 course, 5 extra
• ##### 6.NA.2 – Determine members of sequential patterns, given their ordinal positions
• 9 learning outcomes – click to view

Samples: Identify the rules for number patterns. Continue number patterns. Challenge puzzle - Algebra.

• #### Identify the rules for number patterns

• Activities: 1 course, 0 extra
• #### Continue number patterns resulting from addition or subtraction

• Activities: 1 course, 1 extra
• #### Challenge puzzle - Algebra

• Activities: 1 course, 0 extra
• #### Explore patterns created by objects

• Activities: 1 course, 0 extra
• #### Challenge Puzzle - Balancing equations

• Activities: 1 course, 0 extra
• #### Represent problems using algebraic equation

• Activities: 1 course, 0 extra
• #### Describe and continue number patterns resulting from multiplication

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

• Activities: 1 course, 0 extra
• #### Solve equivalent number sentences presented in written form

• Activities: 1 course, 0 extra
• ##### 6.NA.3 – Describe spatial and number patterns, using:
• 6.NA.3.a – Tables and graphs

• 9 learning outcomes – click to view

Samples: Patterns created by objects. Challenge Puzzle - Balancing equations. Represent problems using algebraic equation.

• #### Explore patterns created by objects

• Activities: 1 course, 0 extra
• #### Challenge Puzzle - Balancing equations

• Activities: 1 course, 0 extra
• #### Represent problems using algebraic equation

• Activities: 1 course, 0 extra
• #### Describe and continue number patterns resulting from multiplication

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

• Activities: 1 course, 0 extra
• #### Solve equivalent number sentences presented in written form

• Activities: 1 course, 0 extra
• #### Applying rules to number tables

• Activities: 1 course, 0 extra
• #### Interpret data presented in two way tables.

• Activities: 1 course, 3 extra
• #### Interpret data presented in a spreadsheet

• Activities: 1 course, 3 extra
• 6.NA.3.b – Rules that involve spatial features, repeated addition or subtraction, and simple multiplication.

• 68 learning outcomes – click to view

Samples: Adding two digit numbers (missing number). Addition Make 100. Make 100. Challenge puzzle. Adding five digit numbers.

• #### Adding two digit numbers (missing number)

• Activities: 2 course, 5 extra
• #### Make 100

• Activities: 2 course, 2 extra
• #### Make 100 - problem solving

• Activities: 2 course, 3 extra
• #### Challenge puzzle - make 100

• Activities: 1 course, 0 extra

• Activities: 4 course, 27 extra
• #### Adding large numbers (problem solving)

• Activities: 2 course, 10 extra
• #### Addition of large numbers (puzzle)

• Activities: 1 course, 0 extra

• Activities: 5 course, 10 extra
• #### Adding and subtracting (problem solving)

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

• Activities: 2 course, 4 extra
• #### Adding on to multiples of 10

• Activities: 2 course, 1 extra

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

• Activities: 1 course, 0 extra
• #### Adding and Subtracting (problem solving)

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

• Activities: 1 course, 1 extra

• Activities: 1 course, 0 extra
• #### Subtracting two digit numbers (adding on)

• Activities: 3 course, 0 extra
• #### Subtracting two digit numbers (jump back strategy)

• Activities: 4 course, 16 extra
• #### Subtracting two digit numbers (written strategy)

• Activities: 5 course, 10 extra
• #### Subtracting two digit numbers

• Activities: 1 course, 1 extra
• #### Subtracting two digit numbers (problem solving)

• Activities: 5 course, 18 extra
• #### Challenge puzzle - two digit subtraction

• Activities: 1 course, 0 extra
• #### Subtracting three digit numbers

• Activities: 2 course, 0 extra
• #### Subtracting from 1000

• Activities: 3 course, 10 extra
• #### Subtracting from 1000 (problem solving)

• Activities: 2 course, 5 extra
• #### Subtracting large numbers

• Activities: 4 course, 14 extra
• #### Subtracting large numbers (problem solving)

• Activities: 2 course, 5 extra
• #### Subtracting from 1000 and 10000 (problem solving)

• Activities: 2 course, 1 extra
• #### Subtraction - missing number

• Activities: 1 course, 2 extra
• #### Addition and subtraction (problem solving)

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

• Activities: 1 course, 0 extra
• #### Groups and rows of 6

• Activities: 2 course, 0 extra
• #### 6x tables

• Activities: 3 course, 5 extra
• #### 6x tables (problem solving)

• Activities: 2 course, 4 extra
• #### Groups and rows of 7

• Activities: 2 course, 0 extra
• #### 7x tables

• Activities: 3 course, 6 extra
• #### 7x tables (problem solving)

• Activities: 2 course, 4 extra
• #### Groups and rows of 8

• Activities: 2 course, 0 extra
• #### 8x tables

• Activities: 3 course, 5 extra
• #### 8x tables (problem solving)

• Activities: 2 course, 4 extra
• #### Groups and rows of 9

• Activities: 2 course, 0 extra
• #### 9x tables

• Activities: 3 course, 6 extra
• #### Multiplicative comparison (problem solving)

• Activities: 1 course, 0 extra
• #### 9x tables (problem solving)

• Activities: 3 course, 6 extra
• #### 2x-10x tables

• Activities: 3 course, 12 extra
• #### 2x-10x tables (problem solving)

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

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

• Activities: 0 course, 1 extra
• #### Multiplicative comparisons

• Activities: 1 course, 0 extra
• #### 11x tables

• Activities: 2 course, 1 extra
• #### 12x tables

• Activities: 2 course, 1 extra
• #### Multiplying by 10

• Activities: 4 course, 7 extra
• #### Multiplying by 100

• Activities: 3 course, 8 extra
• #### Multiplying by 10 or 100 (problem solving)

• Activities: 3 course, 7 extra
• #### Multiplying multiples of 10 (problem solving)

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

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

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

• Activities: 5 course, 4 extra
• #### Multiples of 10 by 1 digit - problem solving

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

• Activities: 1 course, 0 extra
• #### Multiplying 2 by 1 digit (problem solving)

• Activities: 4 course, 8 extra
• #### Multiplying 2 by 1 digit (mental strategy)

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

• Activities: 3 course, 11 extra
• #### Multiplying 2 by 1 digit

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

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

• Activities: 1 course, 0 extra
• #### Multiplying multiples of 10 (missing number)

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

• Activities: 2 course, 7 extra
• ##### 6.GM.1 – Measure time and the attributes of objects, choosing appropriate standard units
• 37 learning outcomes – click to view

Samples: Time. Time - 'a.m.' and 'p.m.'. 24 hour time - am or pm. 24 Hour Time. Units of measure. Units of measure. Length.

• #### Time

• Activities: 1 course, 0 extra
• #### Use a.m. and p.m.

• Activities: 1 course, 1 extra
• #### 24 hour time - am or pm

• Activities: 2 course, 7 extra
• #### 24 Hour Time

• Activities: 1 course, 0 extra
• #### Which measuring device?

• Activities: 2 course, 0 extra
• #### Using the appropriate tools for measuring length

• Activities: 3 course, 0 extra
• #### Length - problem solving

• Activities: 2 course, 1 extra
• #### Challenge puzzle - length (m)

• Activities: 1 course, 0 extra
• #### Use instruments to measure length.

• Activities: 2 course, 0 extra
• #### Converting between kilometers and meters

• Activities: 1 course, 0 extra
• #### Choose appropriate units when measuring length.

• Activities: 2 course, 3 extra