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

125 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, 1 extra

Identifying the place value of digits  numbers to 10000
 Activities: 3 course, 2 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, 4 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

Single digit addition match
 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

Add 10
 Activities: 1 course, 0 extra

Add 100
 Activities: 1 course, 0 extra

Adding multiples of 10
 Activities: 2 course, 4 extra

Two digit addition (estimating)
 Activities: 1 course, 2 extra

Adding on  Numbers under 10
 Activities: 4 course, 19 extra

Add on 10
 Activities: 1 course, 2 extra

Add on 10  problem solving
 Activities: 1 course, 0 extra

Add on 20
 Activities: 1 course, 2 extra

Add on 20  problem solving
 Activities: 1 course, 0 extra

Add on 30
 Activities: 1 course, 2 extra

Add on 30  problem solving
 Activities: 1 course, 0 extra

Add on 40
 Activities: 1 course, 1 extra

Add on 40  problem solving
 Activities: 1 course, 0 extra

Add on 50
 Activities: 1 course, 2 extra

Add on 50  problem solving
 Activities: 1 course, 0 extra

Add on  Multiples of 10
 Activities: 2 course, 3 extra

Add on multiples of 100
 Activities: 1 course, 2 extra

Two digit addition (split strategy)
 Activities: 4 course, 2 extra

Two digit addition (jump strategy)
 Activities: 5 course, 5 extra

Two digit addition (traditional methods)
 Activities: 4 course, 9 extra

Two digit addition  look for 10
 Activities: 2 course, 0 extra

Two digit addition
 Activities: 1 course, 0 extra

Two digit addition  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

Two digit addition (missing number)
 Activities: 2 course, 4 extra

Make 100
 Activities: 2 course, 1 extra

Make 100  problem solving
 Activities: 2 course, 3 extra

Challenge puzzle  make 100
 Activities: 1 course, 0 extra

Addition of large numbers
 Activities: 4 course, 27 extra

Addition of 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, 9 extra

Addition and Subtraction  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

Subtract 10 from numbers
 Activities: 4 course, 7 extra

Subtract 10 from larger numbers
 Activities: 1 course, 0 extra

Subtraction and addition  single digits  problem solving
 Activities: 1 course, 0 extra

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

Subtracting 10
 Activities: 1 course, 2 extra

Subtracting 10  problem solving
 Activities: 1 course, 0 extra

Subtracting 20
 Activities: 2 course, 2 extra

Subtracting 20  problem solving
 Activities: 1 course, 0 extra

Subtracting 30
 Activities: 2 course, 2 extra

Subtracting 30  problem solving
 Activities: 1 course, 0 extra

Subtracting 40
 Activities: 1 course, 2 extra

Subtracting 40  problem solving
 Activities: 1 course, 0 extra

Subtracting 50
 Activities: 1 course, 2 extra

Subtracting 50  problem solving
 Activities: 1 course, 0 extra

Subtracting multiples of 10
 Activities: 2 course, 4 extra

Subtract 100 (between 100900)
 Activities: 1 course, 0 extra

Subtract multiples of 100
 Activities: 1 course, 2 extra

Subtract from 100
 Activities: 4 course, 4 extra

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

Subtraction (two steps)  problem solving
 Activities: 2 course, 0 extra

Two digit subtraction  Adding on!
 Activities: 3 course, 0 extra

Two digit subtraction  jump back strategy
 Activities: 4 course, 20 extra

Two digit subtraction  written strategy
 Activities: 5 course, 8 extra

Two digit subtraction  Drill
 Activities: 1 course, 0 extra

Two digit subtraction  problem solving
 Activities: 5 course, 17 extra

Challenge puzzle  two digit subtraction
 Activities: 1 course, 0 extra

Add and subtract within 1000  Drill
 Activities: 2 course, 0 extra

Subtract from 1000
 Activities: 3 course, 9 extra

Subtract 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, 1 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


125 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 variations for similar goods
 Activities: 1 course, 0 extra

Calculations involving money
 Activities: 1 course, 0 extra

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

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

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

Calculating 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. Learn the 3 times multiplication table. 3x Multiplication facts (times tables)  1.

rows and groups of three
 Activities: 5 course, 2 extra

3x tables  skills
 Activities: 3 course, 7 extra

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

Puzzle  3x tables
 Activities: 1 course, 0 extra

Groups and Rows of four.
 Activities: 5 course, 5 extra

4x tables  Skills
 Activities: 4 course, 5 extra

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

4x tables  puzzle
 Activities: 1 course, 0 extra

Patterns of 6
 Activities: 5 course, 1 extra

6x tables  skills
 Activities: 3 course, 4 extra

6x tables  problem solving
 Activities: 2 course, 3 extra

Patterns of 7
 Activities: 5 course, 1 extra

7x tables  skills
 Activities: 3 course, 5 extra

7x tables  problem solving
 Activities: 2 course, 3 extra

Patterns of 8
 Activities: 5 course, 1 extra

8x tables  skills
 Activities: 3 course, 4 extra

8x tables  problem solving
 Activities: 2 course, 3 extra

Patterns of 9
 Activities: 5 course, 1 extra

9x tables  skills
 Activities: 3 course, 5 extra

Problem solving: Multiplicative comparison
 Activities: 1 course, 0 extra

9x tables  problem solving
 Activities: 3 course, 5 extra

2x10x tables  skills
 Activities: 3 course, 10 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: 4 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.

98 learning outcomes – click to view
Samples: Single Digit Addition Match. Place value  'Adding On' single digit numbers.

Single digit addition match
 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

Add 10
 Activities: 1 course, 0 extra

Add 100
 Activities: 1 course, 0 extra

Adding multiples of 10
 Activities: 2 course, 4 extra

Two digit addition (estimating)
 Activities: 1 course, 2 extra

Adding on  Numbers under 10
 Activities: 4 course, 19 extra

Add on 10
 Activities: 1 course, 2 extra

Add on 10  problem solving
 Activities: 1 course, 0 extra

Add on 20
 Activities: 1 course, 2 extra

Add on 20  problem solving
 Activities: 1 course, 0 extra

Add on 30
 Activities: 1 course, 2 extra

Add on 30  problem solving
 Activities: 1 course, 0 extra

Add on 40
 Activities: 1 course, 1 extra

Add on 40  problem solving
 Activities: 1 course, 0 extra

Add on 50
 Activities: 1 course, 2 extra

Add on 50  problem solving
 Activities: 1 course, 0 extra

Add on  Multiples of 10
 Activities: 2 course, 3 extra

Add on multiples of 100
 Activities: 1 course, 2 extra

Two digit addition (split strategy)
 Activities: 4 course, 2 extra

Two digit addition (jump strategy)
 Activities: 5 course, 5 extra

Two digit addition (traditional methods)
 Activities: 4 course, 9 extra

Two digit addition  look for 10
 Activities: 2 course, 0 extra

Two digit addition
 Activities: 1 course, 0 extra

Two digit addition  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

Two digit addition (missing number)
 Activities: 2 course, 4 extra

Make 100
 Activities: 2 course, 1 extra

Make 100  problem solving
 Activities: 2 course, 3 extra

Challenge puzzle  make 100
 Activities: 1 course, 0 extra

Addition of large numbers
 Activities: 4 course, 27 extra

Addition of 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, 9 extra

Addition and Subtraction  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

Subtract 10 from numbers
 Activities: 4 course, 7 extra

Subtract 10 from larger numbers
 Activities: 1 course, 0 extra

Subtraction and addition  single digits  problem solving
 Activities: 1 course, 0 extra

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

Subtracting 10
 Activities: 1 course, 2 extra

Subtracting 10  problem solving
 Activities: 1 course, 0 extra

Subtracting 20
 Activities: 2 course, 2 extra

Subtracting 20  problem solving
 Activities: 1 course, 0 extra

Subtracting 30
 Activities: 2 course, 2 extra

Subtracting 30  problem solving
 Activities: 1 course, 0 extra

Subtracting 40
 Activities: 1 course, 2 extra

Subtracting 40  problem solving
 Activities: 1 course, 0 extra

Subtracting 50
 Activities: 1 course, 2 extra

Subtracting 50  problem solving
 Activities: 1 course, 0 extra

Subtracting multiples of 10
 Activities: 2 course, 4 extra

Subtract 100 (between 100900)
 Activities: 1 course, 0 extra

Subtract multiples of 100
 Activities: 1 course, 2 extra

Subtract from 100
 Activities: 4 course, 4 extra

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

Subtraction (two steps)  problem solving
 Activities: 2 course, 0 extra


98 learning outcomes – click to view