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

50 learning outcomes – click to view
Samples: Write numbers – to 1000. Reading numbers – to 1000. Comparing numbers – to 1000. Ordinal Numbers.

Write numbers – to 1000
 Activities: 1 course, 0 extra

Reading numbers – to 1000
 Activities: 1 course, 0 extra

Comparing numbers – to 1000
 Activities: 1 course, 1 extra

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: 2 course, 2 extra

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

Place value  tens and ones  bundled sticks
 Activities: 3 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

Write numbers to 1000
 Activities: 1 course, 0 extra

Reducing numbers from their expanded form
 Activities: 1 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: 3 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


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

10 learning outcomes – click to view
Samples: Share 12 equally. Sharing equally. Share between two  1. Understanding the division symbol. Halves and quarters.

Sharing equally
 Activities: 0 course, 4 extra

Share between 2
 Activities: 5 course, 2 extra

Share between 2  problem solving
 Activities: 2 course, 2 extra

The division symbol
 Activities: 1 course, 0 extra

A half.
 Activities: 2 course, 3 extra

Halving groups.
 Activities: 2 course, 1 extra

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

Making equal amounts
 Activities: 1 course, 0 extra


10 learning outcomes – click to view
3.NA.2 – Create and continue sequential patterns with one or two variables by identifying the unit of repeat

5 learning outcomes – click to view
Samples: Sort and classify objects. Recognizing and continuing repeating patterns. Investigating number patterns.

Sort and classify objects
 Activities: 1 course, 0 extra

Continue patterns created with objects
 Activities: 4 course, 4 extra

Investigate number patterns formed by skip counting
 Activities: 1 course, 3 extra

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

Representing word problems as number sentences
 Activities: 1 course, 0 extra


5 learning outcomes – click to view
3.NA.3 – Continue spatial patterns and number patterns based on simple addition or subtraction.

72 learning outcomes – click to view
Samples: Add single digit numbers. Addition to 20. Single digit addition: Activity 1. Counting Forwards By 10. Make 10. Make 10.

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: 3 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

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

Single digit subtraction.
 Activities: 4 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: 4 course, 2 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, 3 extra

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: 3 course, 3 extra

10x tables  skills
 Activities: 3 course, 5 extra

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

Arrays
 Activities: 1 course, 0 extra


72 learning outcomes – click to view
3.GM – Geometry and measurement
3.GM.1 – Measure the lengths, areas, volumes or capacities, and weights of objects and the duration of events, using linear wholenumber scales and applying basic addition facts to standard units

34 learning outcomes – click to view
Samples: Reading A Clock Quarter Past Quarter To. Months of the Year. Reading a Calendar.

Telling the time on an analog clock  quarter to and past
 Activities: 2 course, 2 extra

Months of the Year
 Activities: 1 course, 2 extra

Reading a Calendar
 Activities: 1 course, 0 extra

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

Directly compare length
 Activities: 3 course, 1 extra

Compare the length of 3 things
 Activities: 1 course, 0 extra

Measure length using informal units  blocks
 Activities: 1 course, 0 extra

Measure length using informal units.
 Activities: 2 course, 4 extra

Which measuring device?
 Activities: 2 course, 0 extra

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

Order objects based on length.
 Activities: 1 course, 0 extra

Estimate length in centimetres
 Activities: 2 course, 0 extra

Representing whole numbers as lengths on a number line
 Activities: 1 course, 0 extra

Adding and subtracting unit lengths using blocks
 Activities: 1 course, 0 extra

Compare length  Graph
 Activities: 1 course, 0 extra

Comparing area
 Activities: 1 course, 2 extra

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

Partitioned rectangles
 Activities: 1 course, 0 extra

Full to empty
 Activities: 2 course, 0 extra

Comparing volume
 Activities: 1 course, 0 extra

Use direct and indirect comparisons to compare volume
 Activities: 2 course, 0 extra

Compare or measure volume measured using informal units
 Activities: 1 course, 4 extra

Volume  stacking boxes
 Activities: 1 course, 0 extra

Measure volume using informal units.
 Activities: 2 course, 0 extra

Can I lift it?
 Activities: 1 course, 0 extra

Light or Heavy
 Activities: 1 course, 0 extra

Compare mass directly and indirectly
 Activities: 3 course, 1 extra

Comparing mass
 Activities: 1 course, 0 extra

Compare mass using a balance scale
 Activities: 2 course, 0 extra

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

Measure mass with informal units using a balance scale
 Activities: 4 course, 3 extra


34 learning outcomes – click to view
3.GM.2 – Sort objects and two and threedimensional shapes by their features, identifying categories within categories

19 learning outcomes – click to view
Samples: Shapes  Identifying colours: Activity 1. Shapes  Identifying size (biggest, smallest). Shapes match.

Shapes  colours
 Activities: 2 course, 0 extra

Shapes  big or small
 Activities: 1 course, 0 extra

Shapes match
 Activities: 1 course, 0 extra

Using shapes to fill a space
 Activities: 1 course, 0 extra

Shapes in pictures
 Activities: 1 course, 0 extra

Identify and describe twodimensional shapes in the environment
 Activities: 4 course, 6 extra

Shapes Match
 Activities: 1 course, 0 extra

Classify and sort twodimensional shapes
 Activities: 4 course, 3 extra

Shapes Match
 Activities: 1 course, 0 extra

Joining shapes
 Activities: 1 course, 0 extra

Creating tessellating patterns
 Activities: 1 course, 0 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

Objects match  drawings
 Activities: 1 course, 0 extra

Objects match
 Activities: 2 course, 0 extra

Identify and describe threedimensional objects in the environment
 Activities: 3 course, 0 extra

Classify and sort threedimensional shapes
 Activities: 2 course, 1 extra

Joining 3D objects to make composite objects
 Activities: 1 course, 0 extra


19 learning outcomes – click to view
3.GM.3 – Represent reflections, translations, and rotations by creating and describing patterns

19 learning outcomes – click to view
Samples: Patterns created by objects. Using shapes to construct a picture. Shapes Match 1.

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

Identify and describe twodimensional shapes in the environment
 Activities: 4 course, 6 extra

Shapes Match
 Activities: 1 course, 0 extra

Classify and sort twodimensional shapes
 Activities: 4 course, 3 extra

Shapes Match
 Activities: 1 course, 0 extra

Joining shapes
 Activities: 1 course, 0 extra

Creating tessellating patterns
 Activities: 1 course, 0 extra

Identify and describe threedimensional objects in the environment
 Activities: 3 course, 0 extra

Joining 3D objects to make composite objects
 Activities: 1 course, 0 extra

Identify image transformations  slide, flip or turn
 Activities: 1 course, 0 extra

Investigate the effect of slides, flips and turns.
 Activities: 1 course, 0 extra

Identify and describe half and quarter turns
 Activities: 1 course, 0 extra

Interpret simple maps  the zoo
 Activities: 1 course, 0 extra

Symmetry: Manmade structures
 Activities: 1 course, 0 extra

Drawing symmetrical pictures
 Activities: 0 course, 2 extra

Identify translations, reflections and rotations.
 Activities: 2 course, 0 extra

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

Identify rotational symmetry.
 Activities: 0 course, 1 extra

Apply enlargement transformation
 Activities: 1 course, 3 extra


19 learning outcomes – click to view
3.GM.4 – Describe personal locations and give directions, using wholenumber measures and half or quarterturns.

10 learning outcomes – click to view
Samples: Position using everyday language: Activity 1. Describe movement using everyday language. Follow simple directions.

Describe position by using everyday language.
 Activities: 2 course, 2 extra

Describe movement using everyday language
 Activities: 1 course, 0 extra

Follow simple directions.
 Activities: 1 course, 0 extra

Follow directions to locations.
 Activities: 1 course, 0 extra

Describe movement using positional language.
 Activities: 1 course, 0 extra

Give directions to reach a location
 Activities: 1 course, 0 extra

Identify image transformations  slide, flip or turn
 Activities: 1 course, 0 extra

Investigate the effect of slides, flips and turns.
 Activities: 1 course, 0 extra

Identify and describe half and quarter turns
 Activities: 1 course, 0 extra

Interpret simple maps  the zoo
 Activities: 1 course, 0 extra


10 learning outcomes – click to view
3.S – Statistics
3.S.1 – Investigate questions by using the statistical enquiry cycle (with support):
3.S.1.a – Gather and display category and simple wholenumber data

9 learning outcomes – click to view
Samples: Answer simple questions to collect data. Using simple questions to gather data. Interpret data as drawings.

Answer yes/no questions to collect data
 Activities: 1 course, 1 extra

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

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

Interpret data presented in a table
 Activities: 2 course, 1 extra

Interpret data presented with tally marks
 Activities: 2 course, 2 extra

Interpret data presented in lists
 Activities: 1 course, 0 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


9 learning outcomes – click to view
3.S.1.b – Interpret displays in context

10 learning outcomes – click to view
Samples: Data  less or more. Answer simple questions to collect data. Using simple questions to gather data.

Data  less or more
 Activities: 1 course, 0 extra

Answer yes/no questions to collect data
 Activities: 1 course, 1 extra

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

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

Interpret data presented in a table
 Activities: 2 course, 1 extra

Interpret data presented with tally marks
 Activities: 2 course, 2 extra

Interpret data presented in lists
 Activities: 1 course, 0 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


10 learning outcomes – click to view
3.S.2 – Compare and explain the likelihoods of outcomes for a simple situation involving chance.

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