Mathematics – New Zealand – National Standards
5.NA – Number and algebra
5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:
5.NA.1.a – Combine or partition whole numbers

124 learning outcomes – click to view
Samples: Reading numbers – to 10 000. Write numbers – to 10 000. Comparing numbers – to 10 000.

Reading numbers – to 10,000
 Activities: 1 course, 0 extra

Write numbers – to 10,000
 Activities: 1 course, 0 extra

Comparing numbers – to 10,000
 Activities: 1 course, 0 extra

Compare two threedigit numbers (< = >)
 Activities: 1 course, 0 extra

Writing large numbers  four digits
 Activities: 1 course, 0 extra

Place Value to 10000
 Activities: 2 course, 12 extra

Comparing numbers to 10,000 (<,=,>)
 Activities: 2 course, 0 extra

Identifying the place value of digits  numbers to 10000
 Activities: 3 course, 1 extra

Expanded notation
 Activities: 2 course, 4 extra

Odd and Even Numbers
 Activities: 3 course, 2 extra

Challenge puzzle  Odd and Even Numbers
 Activities: 1 course, 0 extra

Rounding numbers to the nearest multiple of 10.
 Activities: 6 course, 3 extra

Round to the nearest 100
 Activities: 2 course, 0 extra

Write numbers – to 100,000
 Activities: 1 course, 0 extra

Reading numbers – to 100,000
 Activities: 1 course, 0 extra

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

Write numbers – to 100,000
 Activities: 1 course, 0 extra

Adding single digits (matching answers)
 Activities: 2 course, 1 extra

Place value  'Adding On' single digit numbers
 Activities: 1 course, 0 extra

Place value  Adding two digit numbers (no regrouping)
 Activities: 1 course, 0 extra

Adding 10 (to three digit numbers)
 Activities: 1 course, 1 extra

Adding 100
 Activities: 1 course, 1 extra

Adding multiples of 10
 Activities: 2 course, 4 extra

Adding two digit numbers (estimating)
 Activities: 1 course, 2 extra

Adding on (numbers under 10)
 Activities: 3 course, 14 extra

Adding 10
 Activities: 1 course, 3 extra

Adding 10 (problem solving)
 Activities: 1 course, 0 extra

Adding 20
 Activities: 1 course, 3 extra

Adding 20 (problem solving)
 Activities: 1 course, 0 extra

Adding 30
 Activities: 1 course, 3 extra

Adding 30 (problem solving)
 Activities: 1 course, 0 extra

Adding 40
 Activities: 1 course, 2 extra

Adding 40 (problem solving)
 Activities: 1 course, 0 extra

Adding 50
 Activities: 1 course, 3 extra

Adding 50 (problem solving)
 Activities: 1 course, 0 extra

Adding multiples of 10
 Activities: 2 course, 4 extra

Adding multiples of 100
 Activities: 1 course, 3 extra

Adding two digit numbers (split strategy)
 Activities: 4 course, 2 extra

Adding two digit numbers (jump strategy)
 Activities: 5 course, 5 extra

Adding two digit numbers (written strategy)
 Activities: 4 course, 8 extra

Adding two digit numbers (look for 10)
 Activities: 2 course, 0 extra

Adding two digit numbers
 Activities: 1 course, 1 extra

Adding two digit numbers (problem solving)
 Activities: 6 course, 12 extra

Challenge Puzzle  Addition Pyramid
 Activities: 1 course, 0 extra

Place value  Adding three digit numbers (no regrouping)
 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

Single Digit Subtraction Match
 Activities: 1 course, 0 extra

Subtracting 10
 Activities: 5 course, 10 extra

Subtracting 10 large numbers
 Activities: 1 course, 1 extra

Subtraction and addition (problem solving)
 Activities: 1 course, 0 extra

Subtracting multiples of 100 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 10 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 20
 Activities: 2 course, 3 extra

Subtracting 20 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 30
 Activities: 2 course, 3 extra

Subtracting 30 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 40
 Activities: 1 course, 3 extra

Subtracting 40 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 50
 Activities: 1 course, 3 extra

Subtracting 50 (problem solving)
 Activities: 1 course, 0 extra

Subtracting multiples of 10
 Activities: 2 course, 5 extra

Subtracting 100
 Activities: 1 course, 1 extra

Subtracting multiples of 100
 Activities: 1 course, 3 extra

Subtracting from 100
 Activities: 4 course, 5 extra

Place value  Subtract three digit numbers
 Activities: 1 course, 0 extra

Subtraction (two step problem solving)
 Activities: 2 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

Mentals 37
 Activities: 1 course, 0 extra

Mentals 38
 Activities: 1 course, 0 extra

Mentals 39
 Activities: 1 course, 0 extra

Mentals 40
 Activities: 1 course, 0 extra

Mentals 41
 Activities: 1 course, 0 extra

Mentals 42
 Activities: 1 course, 0 extra

Mentals 43
 Activities: 2 course, 0 extra

Mentals 44
 Activities: 1 course, 0 extra

Mentals 45
 Activities: 1 course, 0 extra

Mentals 46
 Activities: 1 course, 0 extra

Mentals 47
 Activities: 1 course, 0 extra

Mentals 48
 Activities: 1 course, 0 extra

Mentals 49
 Activities: 1 course, 0 extra

Mentals 50
 Activities: 1 course, 0 extra

Mentals 51
 Activities: 1 course, 0 extra

Mentals 52
 Activities: 1 course, 0 extra

Mentals 53
 Activities: 1 course, 0 extra

Mentals 54
 Activities: 1 course, 0 extra

Mentals 55
 Activities: 1 course, 0 extra

Mentals 56
 Activities: 1 course, 0 extra

Mentals 57
 Activities: 1 course, 0 extra

Mentals 58
 Activities: 1 course, 0 extra

Mentals 59
 Activities: 1 course, 0 extra

Mentals 60
 Activities: 1 course, 0 extra

Mentals 61
 Activities: 1 course, 0 extra

Mentals 62
 Activities: 1 course, 0 extra

Mentals 63
 Activities: 1 course, 0 extra

Mentals 64
 Activities: 1 course, 0 extra

Mentals 65
 Activities: 1 course, 0 extra

Mentals 66
 Activities: 1 course, 0 extra

Mentals 67
 Activities: 1 course, 0 extra

Mentals 68
 Activities: 1 course, 0 extra

Mentals 69
 Activities: 1 course, 0 extra

Mentals 70
 Activities: 1 course, 0 extra

Mentals 71
 Activities: 1 course, 0 extra

Mentals 72
 Activities: 1 course, 0 extra


124 learning outcomes – click to view
5.NA.1.b – find fractions of sets, shapes, and quantities

42 learning outcomes – click to view
Samples: Dividing by 3. Dividing by 3. Dividing by 4. Dividing by 4. Dividing by 6. Dividing by 6. Dividing by 7. Dividing by 7.

Dividing by 3
 Activities: 4 course, 2 extra

Dividing by 3  problem solving
 Activities: 2 course, 0 extra

Dividing by 4
 Activities: 3 course, 4 extra

Dividing by 4  problem solving
 Activities: 2 course, 2 extra

Dividing by 6
 Activities: 2 course, 0 extra

Dividing by 6  problem solving
 Activities: 3 course, 2 extra

Dividing by 7
 Activities: 2 course, 0 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, 0 extra

Dividing by 9  problem solving
 Activities: 3 course, 4 extra

Dividing by 9
 Activities: 2 course, 0 extra

Represent halves, thirds, quarters, eighths and fifths.
 Activities: 1 course, 0 extra

Represent fractions using sectioned areas.
 Activities: 3 course, 3 extra

Identifying fractions
 Activities: 2 course, 1 extra

Fractions on a number line.
 Activities: 2 course, 1 extra

Matching equivalent fractions using fraction models
 Activities: 1 course, 0 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: 3 course, 4 extra

Comparing and counting notes and coins
 Activities: 1 course, 0 extra

Paying for goods and services
 Activities: 1 course, 3 extra

Represent money in multiple ways
 Activities: 1 course, 0 extra

Paying for goods and calculating totals
 Activities: 1 course, 6 extra

Price variation
 Activities: 1 course, 0 extra

Calculations involving money
 Activities: 1 course, 0 extra

Represent money in multiple ways
 Activities: 1 course, 2 extra

Using ATM's to access our money
 Activities: 1 course, 1 extra

Calculating the amount left over
 Activities: 1 course, 0 extra

Calculating the change on simple transactions
 Activities: 1 course, 1 extra

Reading a menu
 Activities: 1 course, 0 extra

Reading a menu
 Activities: 1 course, 0 extra

Money
 Activities: 1 course, 0 extra

Budgeting
 Activities: 1 course, 0 extra

Currencies around the world
 Activities: 2 course, 0 extra

Different payment options
 Activities: 1 course, 0 extra


42 learning outcomes – click to view
5.NA.2 – Create, continue, and predict further members of sequential patterns with two variables

31 learning outcomes – click to view
Samples: Groups of 3. 3x tables. 3x tables (problem solving). Challenge Puzzle  3x tables. Groups of 4. 4x tables.

Groups and rows of 3
 Activities: 3 course, 1 extra

3x tables
 Activities: 3 course, 8 extra

3x tables (problem solving)
 Activities: 3 course, 2 extra

Puzzle  3x tables
 Activities: 1 course, 0 extra

Groups and rows of 4
 Activities: 3 course, 4 extra

4x tables
 Activities: 4 course, 6 extra

4x tables (problem solving)
 Activities: 3 course, 2 extra

4x tables  puzzle
 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

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


31 learning outcomes – click to view
5.NA.3 – Describe spatial and number patterns, using rules that involve spatial features, repeated addition or subtraction, and simple multiplication.

97 learning outcomes – click to view
Samples: Adding single digits (matching answers). Place value  'Adding On' single digit numbers.

Adding single digits (matching answers)
 Activities: 2 course, 1 extra

Place value  'Adding On' single digit numbers
 Activities: 1 course, 0 extra

Place value  Adding two digit numbers (no regrouping)
 Activities: 1 course, 0 extra

Adding 10 (to three digit numbers)
 Activities: 1 course, 1 extra

Adding 100
 Activities: 1 course, 1 extra

Adding multiples of 10
 Activities: 2 course, 4 extra

Adding two digit numbers (estimating)
 Activities: 1 course, 2 extra

Adding on (numbers under 10)
 Activities: 3 course, 14 extra

Adding 10
 Activities: 1 course, 3 extra

Adding 10 (problem solving)
 Activities: 1 course, 0 extra

Adding 20
 Activities: 1 course, 3 extra

Adding 20 (problem solving)
 Activities: 1 course, 0 extra

Adding 30
 Activities: 1 course, 3 extra

Adding 30 (problem solving)
 Activities: 1 course, 0 extra

Adding 40
 Activities: 1 course, 2 extra

Adding 40 (problem solving)
 Activities: 1 course, 0 extra

Adding 50
 Activities: 1 course, 3 extra

Adding 50 (problem solving)
 Activities: 1 course, 0 extra

Adding multiples of 10
 Activities: 2 course, 4 extra

Adding multiples of 100
 Activities: 1 course, 3 extra

Adding two digit numbers (split strategy)
 Activities: 4 course, 2 extra

Adding two digit numbers (jump strategy)
 Activities: 5 course, 5 extra

Adding two digit numbers (written strategy)
 Activities: 4 course, 8 extra

Adding two digit numbers (look for 10)
 Activities: 2 course, 0 extra

Adding two digit numbers
 Activities: 1 course, 1 extra

Adding two digit numbers (problem solving)
 Activities: 6 course, 12 extra

Challenge Puzzle  Addition Pyramid
 Activities: 1 course, 0 extra

Place value  Adding three digit numbers (no regrouping)
 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

Single Digit Subtraction Match
 Activities: 1 course, 0 extra

Subtracting 10
 Activities: 5 course, 10 extra

Subtracting 10 large numbers
 Activities: 1 course, 1 extra

Subtraction and addition (problem solving)
 Activities: 1 course, 0 extra

Subtracting multiples of 100 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 10 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 20
 Activities: 2 course, 3 extra

Subtracting 20 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 30
 Activities: 2 course, 3 extra

Subtracting 30 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 40
 Activities: 1 course, 3 extra

Subtracting 40 (problem solving)
 Activities: 1 course, 0 extra

Subtracting 50
 Activities: 1 course, 3 extra

Subtracting 50 (problem solving)
 Activities: 1 course, 0 extra

Subtracting multiples of 10
 Activities: 2 course, 5 extra

Subtracting 100
 Activities: 1 course, 1 extra

Subtracting multiples of 100
 Activities: 1 course, 3 extra

Subtracting from 100
 Activities: 4 course, 5 extra


97 learning outcomes – click to view