Mathematics – New Zealand – National Standards
4.NA – Number and algebra
4.NA.1 – Apply basic addition and subtraction facts, simple multiplication facts, and knowledge of place value and symmetry to:
4.NA.1.a – Combine or partition whole numbers

113 learning outcomes – click to view
Samples: Ordinal numbers. Odd or Even amounts. Even numbers to 20  equations. Place Values. Place value 100.

Ordinal numbers up to 10th
 Activities: 2 course, 2 extra

Odd or Even amounts
 Activities: 1 course, 0 extra

Even numbers to 20  equations
 Activities: 1 course, 0 extra

Place value  tens and ones
 Activities: 3 course, 2 extra

Place value  tens and ones
 Activities: 1 course, 2 extra

Place value  tens and ones  bundled sticks
 Activities: 2 course, 0 extra

Place value  hundreds, tens and ones (to 999)
 Activities: 3 course, 1 extra

Counting by 100's
 Activities: 1 course, 0 extra

Reducing numbers from their expanded form
 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, 4 extra

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

Identifying the place value of digits  numbers to 10000
 Activities: 3 course, 0 extra

Expanded notation
 Activities: 2 course, 2 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, 2 extra

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

Adding by counting
 Activities: 2 course, 3 extra

Single digit addition
 Activities: 4 course, 6 extra

Single digit addition  problem solving
 Activities: 2 course, 5 extra

Add on 10
 Activities: 3 course, 4 extra

Make 10.
 Activities: 3 course, 0 extra

Make 10  problem solving
 Activities: 2 course, 2 extra

Single digit addition (missing number)
 Activities: 5 course, 5 extra

Add three numbers (numbers under 6)
 Activities: 3 course, 8 extra

Add three sets of numbers  numbers under 10
 Activities: 3 course, 0 extra

Adding On 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Adding On multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Explain addition and subtraction by drawing
 Activities: 1 course, 0 extra

Single digit addition match
 Activities: 2 course, 0 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 multiples of 10
 Activities: 2 course, 1 extra

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

Adding on  Numbers under 10
 Activities: 4 course, 8 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, 2 extra

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

Two digit addition (split strategy)
 Activities: 4 course, 0 extra

Two digit addition (jump strategy)
 Activities: 5 course, 0 extra

Two digit addition (traditional methods)
 Activities: 4 course, 2 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, 10 extra

Challenge Puzzle  Addition Pyramid
 Activities: 1 course, 0 extra

'Adding On' to subtract
 Activities: 1 course, 0 extra

Single digit subtraction.
 Activities: 3 course, 3 extra

Single digit subtraction  problem solving
 Activities: 1 course, 4 extra

Single digit subtraction  missing number
 Activities: 3 course, 3 extra

Subtracting 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Subtracting multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Single Digit Subtraction Match
 Activities: 1 course, 0 extra

Subtract 10 from numbers
 Activities: 3 course, 2 extra

Subtraction and addition  single digits  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, 3 extra

Subtract from 100
 Activities: 4 course, 1 extra

Mentals 1
 Activities: 1 course, 0 extra

Mentals 2
 Activities: 1 course, 0 extra

Mentals 3
 Activities: 1 course, 0 extra

Mentals 4
 Activities: 1 course, 0 extra

Mentals 5
 Activities: 1 course, 0 extra

Mentals 6
 Activities: 1 course, 0 extra

Mentals 7
 Activities: 1 course, 0 extra

Mentals 8
 Activities: 1 course, 0 extra

Mentals 9
 Activities: 1 course, 0 extra

Mentals 10
 Activities: 1 course, 0 extra

Mentals 11
 Activities: 1 course, 0 extra

Mentals 12
 Activities: 1 course, 0 extra

Mentals 13
 Activities: 1 course, 0 extra

Mentals 14
 Activities: 1 course, 0 extra

Mentals 15
 Activities: 1 course, 0 extra

Mentals 16
 Activities: 1 course, 0 extra

Mentals 17
 Activities: 1 course, 0 extra

Mentals 18
 Activities: 1 course, 0 extra

Mentals 19
 Activities: 1 course, 0 extra

Mentals 20
 Activities: 1 course, 0 extra

Mentals 21
 Activities: 1 course, 0 extra

Mentals 22
 Activities: 1 course, 0 extra

Mentals 23
 Activities: 1 course, 0 extra

Mentals 24
 Activities: 1 course, 0 extra

Mentals 25
 Activities: 1 course, 0 extra

Mentals 26
 Activities: 1 course, 0 extra

Mentals 27
 Activities: 1 course, 0 extra

Mentals 28
 Activities: 1 course, 0 extra

Mentals 29
 Activities: 1 course, 0 extra

Mentals 30
 Activities: 1 course, 0 extra

Mentals 31
 Activities: 1 course, 0 extra

Mentals 32
 Activities: 1 course, 0 extra

Mentals 33
 Activities: 1 course, 0 extra

Mentals 34
 Activities: 1 course, 0 extra

Mentals 35
 Activities: 1 course, 0 extra

Mentals 36
 Activities: 1 course, 0 extra


113 learning outcomes – click to view
4.NA.1.b – Find fractions of sets, shapes, and quantities

23 learning outcomes – click to view
Samples: Halves, Thirds and Quarters. Identifying Fractions. Dividing groups into halves and quarters.

Halves, thirds and quarters
 Activities: 1 course, 1 extra

Quarters and eighths
 Activities: 4 course, 1 extra

A half, quarter and eighth of groups.
 Activities: 3 course, 4 extra

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

Represent fractions using sectioned areas.
 Activities: 3 course, 1 extra

Identifying fractions
 Activities: 1 course, 1 extra

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

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

Create symmetrical patterns using pictures and shapes
 Activities: 2 course, 3 extra

Comparing and counting coins
 Activities: 1 course, 1 extra

Earning Pocket Money
 Activities: 1 course, 0 extra

Saving money
 Activities: 1 course, 0 extra

Good and Services
 Activities: 2 course, 0 extra

Making equal amounts
 Activities: 1 course, 0 extra

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

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

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

Paying for goods and calculating totals
 Activities: 1 course, 4 extra

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

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


23 learning outcomes – click to view
4.NA.2 – Create, continue, and give the rule for sequential patterns with two variables

28 learning outcomes – click to view
Samples: Groups of 2. Counting in Two's. Learn the 2 times multiplication table. 2x Multiplication facts (times tables)  1.

Groups and Rows of 2
 Activities: 4 course, 2 extra

Skip counting 2's
 Activities: 4 course, 2 extra

2x tables  Skills
 Activities: 3 course, 4 extra

2x tables  Problem Solving
 Activities: 2 course, 3 extra

2x Multiplication facts (times tables)  puzzle
 Activities: 1 course, 0 extra

Groups and Rows of 5
 Activities: 4 course, 7 extra

Skip counting 5's
 Activities: 3 course, 2 extra

5x tables  skills
 Activities: 3 course, 5 extra

5x tables  problem solving
 Activities: 2 course, 2 extra

Skip counting 10's
 Activities: 4 course, 3 extra

How many tens?
 Activities: 1 course, 0 extra

Groups and Rows of 10.
 Activities: 4 course, 2 extra

10x tables  skills
 Activities: 3 course, 5 extra

10x tables  problem solving
 Activities: 2 course, 2 extra

Arrays
 Activities: 1 course, 0 extra

rows and groups of three
 Activities: 5 course, 0 extra

3x tables  skills
 Activities: 3 course, 6 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, 3 extra

4x tables  Skills
 Activities: 4 course, 4 extra

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

4x tables  puzzle
 Activities: 1 course, 0 extra

Identify missing elements in number patterns
 Activities: 1 course, 4 extra

Representing word problems as number sentences
 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, 0 extra

Challenge puzzle  Algebra
 Activities: 1 course, 0 extra


28 learning outcomes – click to view
4.NA.3 – Create and continue spatial patterns and number patterns based on repeated addition or subtraction.

57 learning outcomes – click to view
Samples: Add single digit numbers. Addition to 20. Counting Forwards By 10. Make 10. Single digit addition (missing number).

Adding by counting
 Activities: 2 course, 3 extra

Single digit addition
 Activities: 4 course, 6 extra

Add on 10
 Activities: 3 course, 4 extra

Make 10.
 Activities: 3 course, 0 extra

Single digit addition (missing number)
 Activities: 5 course, 5 extra

Add three numbers (numbers under 6)
 Activities: 3 course, 8 extra

Add three sets of numbers  numbers under 10
 Activities: 3 course, 0 extra

Adding On 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Adding On multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Explain addition and subtraction by drawing
 Activities: 1 course, 0 extra

Single digit addition match
 Activities: 2 course, 0 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 multiples of 10
 Activities: 2 course, 1 extra

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

Adding on  Numbers under 10
 Activities: 4 course, 8 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, 2 extra

Two digit addition (split strategy)
 Activities: 4 course, 0 extra

Two digit addition (jump strategy)
 Activities: 5 course, 0 extra

Two digit addition (traditional methods)
 Activities: 4 course, 2 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, 10 extra

Challenge Puzzle  Addition Pyramid
 Activities: 1 course, 0 extra

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

'Adding On' to subtract
 Activities: 1 course, 0 extra

Single digit subtraction.
 Activities: 3 course, 3 extra

Single digit subtraction  problem solving
 Activities: 1 course, 4 extra

Single digit subtraction  missing number
 Activities: 3 course, 3 extra

Subtracting 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Subtracting multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Single Digit Subtraction Match
 Activities: 1 course, 0 extra

Subtract 10 from numbers
 Activities: 3 course, 2 extra

Subtract 10 from larger numbers
 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, 3 extra

Subtract from 100
 Activities: 4 course, 1 extra

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


57 learning outcomes – click to view
4.GM – Geometry and measurement
4.GM.1 – Measure the lengths, areas, volumes or capacities, weights, and temperatures of objects and the duration of events, reading scales to the nearest whole number and applying addition, subtraction, and simple multiplication to standard units

26 learning outcomes – click to view
Samples: Minutes past the hour: 5 minute intervals  digital clocks. Time. Reading Five Minute Intervals. Timelines. Time.

Tell the time: 5 minute intervals
 Activities: 6 course, 0 extra

Time
 Activities: 1 course, 0 extra

Reading Time  to the minute
 Activities: 2 course, 3 extra

Timelines
 Activities: 1 course, 1 extra

Time
 Activities: 1 course, 0 extra

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

Length  problem solving
 Activities: 1 course, 0 extra

Comparing area using informal units.
 Activities: 2 course, 0 extra

Partitioned rectangles
 Activities: 1 course, 0 extra

Area using square tiles
 Activities: 1 course, 0 extra

Comparing and measuring area using a grid.
 Activities: 3 course, 2 extra

Square centimetres
 Activities: 0 course, 4 extra

Square metres
 Activities: 1 course, 0 extra

Measure volume using litres and milliltres
 Activities: 1 course, 0 extra

Reading measuring devices
 Activities: 1 course, 0 extra

Volume
 Activities: 1 course, 0 extra

Estimate mass  kilograms
 Activities: 1 course, 0 extra

Measure mass in grams and kilograms
 Activities: 3 course, 3 extra

Grams and Kilograms
 Activities: 1 course, 0 extra

Measure mass using balance scales
 Activities: 1 course, 0 extra

Mass
 Activities: 1 course, 0 extra

Use scaled instruments to measure mass
 Activities: 3 course, 1 extra

Compare angle sizes in everyday situations.
 Activities: 1 course, 1 extra


26 learning outcomes – click to view
4.GM.2 – Sort objects and two and threedimensional shapes by two features simultaneously

11 learning outcomes – click to view
Samples: Angles in the environment. Identifying shapes based on attributes. Learning the names of twodimensional shapes.

Compare angle sizes in everyday situations.
 Activities: 1 course, 1 extra

Identifying shapes based on attributes
 Activities: 2 course, 0 extra

Learning the names of twodimensional shapes
 Activities: 2 course, 0 extra

Naming and identifying twodimensional shapes
 Activities: 5 course, 4 extra

Parallel and perpendicular lines in shapes
 Activities: 1 course, 0 extra

Identifying types of lines
 Activities: 2 course, 8 extra

Construct and draw two dimensional shapes
 Activities: 1 course, 4 extra

Top, side and front view. Threedimensional objects
 Activities: 1 course, 2 extra

Describe the features of threedimensional objects
 Activities: 4 course, 5 extra

Learning the names of threedimensional objects
 Activities: 2 course, 0 extra

Naming threedimensional objects
 Activities: 2 course, 3 extra


11 learning outcomes – click to view
4.GM.3 – Represent and describe the symmetries of a shape

4 learning outcomes – click to view
Samples: Symmetry in the environment. Creating symmetrical patterns. Line of symmetry. Rotational symmetry.

Identify symmetry in the environment
 Activities: 1 course, 0 extra

Create symmetrical patterns using pictures and shapes
 Activities: 2 course, 3 extra

Identify line of symmetry.
 Activities: 1 course, 0 extra

Identify rotational symmetry.
 Activities: 0 course, 1 extra


4 learning outcomes – click to view
4.GM.4 – Create nets for cubes

1 learning outcomes – click to view
Samples: Matching  threedimensional objects with their nets. Identifying the nets of threedimensional shapes.

Nets of three dimensional objects
 Activities: 4 course, 2 extra


1 learning outcomes – click to view
4.GM.5 – Describe personal locations and give directions, using simple maps.

4 learning outcomes – click to view
Samples: Interpret simple maps: Activity 1. Interpret simple grid maps: Activity 1.

Interpret simple maps
 Activities: 2 course, 0 extra

Interpret simple grid maps
 Activities: 2 course, 0 extra

Interpret basic maps.
 Activities: 2 course, 0 extra

Use grid reference to identify location
 Activities: 1 course, 7 extra


4 learning outcomes – click to view
4.S – Statistics
4.S.1 – Investigate questions by using the statistical enquiry cycle independently:
4.S.1.a – Gather and display category and simple wholenumber data

6 learning outcomes – click to view
Samples: Using simple questions to gather data. Interpret data as drawings. Graphs. Data  picture graphs: Activity 1.

Choose simple questions to gather responses
 Activities: 1 course, 0 extra

Interpret data presented using drawings and symbols
 Activities: 1 course, 2 extra

Graphs
 Activities: 1 course, 0 extra

Interpret data presented using picture graphs.
 Activities: 1 course, 1 extra

Interpret data presented using simple column graphs
 Activities: 1 course, 11 extra

Use surveys to collect data
 Activities: 1 course, 0 extra


6 learning outcomes – click to view
4.S.1.b – interpret displays in context

7 learning outcomes – click to view
Samples: Using simple questions to gather data. Interpret data as drawings. Graphs. Data  picture graphs: Activity 1.

Choose simple questions to gather responses
 Activities: 1 course, 0 extra

Interpret data presented using drawings and symbols
 Activities: 1 course, 2 extra

Graphs
 Activities: 1 course, 0 extra

Interpret data presented using picture graphs.
 Activities: 1 course, 1 extra

Interpret data presented using simple column graphs
 Activities: 1 course, 11 extra

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

Use surveys to collect data
 Activities: 1 course, 0 extra


7 learning outcomes – click to view
4.S.2 – Compare and explain the likelihoods of outcomes for a simple situation involving chance, acknowledging uncertainty.

5 learning outcomes – click to view
Samples: Chance  will, might or won't happen. Chance. Chance experiments. Chance and probability.

Describe chance outcomes as 'will', 'won't', or 'might' happen.
 Activities: 1 course, 0 extra

Describe outcomes as 'likely' or 'unlikely'  'certain' or 'impossible'.
 Activities: 1 course, 0 extra

Recognise variation in results of chance experiments.
 Activities: 1 course, 1 extra

Chance and probability
 Activities: 1 course, 0 extra

Number of combinations
 Activities: 0 course, 1 extra


5 learning outcomes – click to view