Mathematics – New Zealand – National Standards
6.NA – Number and algebra
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

Adding large numbers
 Activities: 4 course, 27 extra

Adding large numbers (problem solving)
 Activities: 2 course, 9 extra

Addition of large numbers (puzzle)
 Activities: 1 course, 0 extra

Adding three numbers
 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

Adding (problem solving)
 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

Adding (problem solving)
 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, 17 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, 4 extra

Subtracting large numbers
 Activities: 4 course, 14 extra

Subtracting large numbers (problem solving)
 Activities: 2 course, 4 extra

Subtracting from 1000 and 10000 (problem solving)
 Activities: 2 course, 0 extra

Subtraction  missing number
 Activities: 1 course, 2 extra

Addition and subtraction (problem solving)
 Activities: 3 course, 2 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

Reading large numbers
 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


80 learning outcomes – click to view
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, 2 extra

Dividing by 7
 Activities: 2 course, 1 extra

Dividing by 7 (problem solving)
 Activities: 3 course, 2 extra

Dividing by 8 (problem solving)
 Activities: 3 course, 2 extra

Dividing by 8
 Activities: 2 course, 1 extra

Dividing by 9 (problem solving)
 Activities: 3 course, 4 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: 4 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: 1 course, 0 extra

Long division
 Activities: 2 course, 2 extra

Long division  problem solving
 Activities: 1 course, 5 extra


50 learning outcomes – click to view
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


9 learning outcomes – click to view
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


9 learning outcomes – click to view
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

Adding large numbers
 Activities: 4 course, 27 extra

Adding large numbers (problem solving)
 Activities: 2 course, 9 extra

Addition of large numbers (puzzle)
 Activities: 1 course, 0 extra

Adding three numbers
 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

Adding (problem solving)
 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

Adding (problem solving)
 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, 17 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, 4 extra

Subtracting large numbers
 Activities: 4 course, 14 extra

Subtracting large numbers (problem solving)
 Activities: 2 course, 4 extra

Subtracting from 1000 and 10000 (problem solving)
 Activities: 2 course, 0 extra

Subtraction  missing number
 Activities: 1 course, 2 extra

Addition and subtraction (problem solving)
 Activities: 3 course, 2 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, 3 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, 3 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, 3 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, 5 extra

2x10x tables
 Activities: 3 course, 12 extra

2x10x tables (problem solving)
 Activities: 4 course, 4 extra

2x10x 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, 6 extra

Multiplying multiples of 10 (problem solving)
 Activities: 3 course, 2 extra

2x10x tables
 Activities: 2 course, 7 extra

2x10x 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, 7 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


68 learning outcomes – click to view
6.GM – Geometry and measurement
6.GM.1 – Measure time and the attributes of objects, choosing appropriate standard units

38 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: 2 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

Perimeter of squares and rectangles.
 Activities: 2 course, 4 extra

Perimeter of irregular shapes.
 Activities: 2 course, 9 extra

Challenge puzzle perimeter
 Activities: 1 course, 0 extra

Length  problem solving
 Activities: 1 course, 0 extra

Length and money  problem solving
 Activities: 1 course, 0 extra



38 learning outcomes – click to view