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, 2 extra

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

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

Ordinal numbers
 Activities: 4 course, 2 extra

Odd or Even amounts
 Activities: 1 course, 0 extra

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

Numbers represented using MAB (up to 100)
 Activities: 3 course, 2 extra

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

Place value concepts (bundled sticks)
 Activities: 2 course, 1 extra

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

Counting by 100 (multiples of 100)
 Activities: 1 course, 0 extra

Writing numbers to 1000
 Activities: 1 course, 0 extra

Numbers written in expanded form
 Activities: 1 course, 0 extra

Adding by counting
 Activities: 1 course, 1 extra

Adding single digit numbers
 Activities: 4 course, 17 extra

Adding single digit numbers (problem solving)
 Activities: 2 course, 6 extra

Adding 10 (to two digits)
 Activities: 3 course, 14 extra

Make 10.
 Activities: 3 course, 4 extra

Make 10 (problem solving)
 Activities: 2 course, 2 extra

Single digit addition (missing number)
 Activities: 5 course, 10 extra

Adding three numbers (small numbers)
 Activities: 3 course, 11 extra

Adding three numbers
 Activities: 3 course, 3 extra

Adding on 10 using blocks
 Activities: 1 course, 0 extra

Adding multiples of 10 using blocks
 Activities: 1 course, 0 extra

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

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

Adding on single digit numbers using blocks
 Activities: 1 course, 0 extra

Adding two digit numbers using blocks
 Activities: 1 course, 0 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


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

10 learning outcomes – click to view
Samples: Sharing between 2. Dividing by 2. Dividing by 2 (problem solving). Dividing using division symbol.

Sharing between 2
 Activities: 1 course, 5 extra

Dividing by 2
 Activities: 2 course, 1 extra

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

Using the division symbol
 Activities: 2 course, 0 extra

A half.
 Activities: 2 course, 4 extra

Halving groups.
 Activities: 2 course, 1 extra

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

Quarters and eighths
 Activities: 4 course, 10 extra

Dividing groups into halves and quarters
 Activities: 2 course, 5 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, 7 extra

Investigate number patterns formed by skip counting
 Activities: 1 course, 10 extra

Identify missing elements in number patterns
 Activities: 1 course, 5 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.

71 learning outcomes – click to view
Samples: Adding ones. Adding single digit numbers. Adding single digit numbers (problem solving). Counting Forwards By 10.

Adding by counting
 Activities: 1 course, 1 extra

Adding single digit numbers
 Activities: 4 course, 17 extra

Adding single digit numbers (problem solving)
 Activities: 2 course, 6 extra

Adding 10 (to two digits)
 Activities: 3 course, 14 extra

Make 10.
 Activities: 3 course, 4 extra

Make 10 (problem solving)
 Activities: 2 course, 2 extra

Single digit addition (missing number)
 Activities: 5 course, 10 extra

Adding three numbers (small numbers)
 Activities: 3 course, 11 extra

Adding three numbers
 Activities: 3 course, 3 extra

Adding on 10 using blocks
 Activities: 1 course, 0 extra

Adding multiples of 10 using blocks
 Activities: 1 course, 0 extra

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

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

Adding on single digit numbers using blocks
 Activities: 1 course, 0 extra

Adding two digit numbers using blocks
 Activities: 1 course, 0 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 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

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

Subtracting single digit numbers
 Activities: 3 course, 12 extra

Subtracting single digits from up to 20 (problem solving)
 Activities: 2 course, 5 extra

Single digit subtraction (missing number)
 Activities: 3 course, 7 extra

Subtracting 10 using blocks
 Activities: 1 course, 0 extra

Subtracting multiples of 10 using blocks
 Activities: 1 course, 0 extra

Single Digit Subtraction Match
 Activities: 1 course, 0 extra

Subtracting 10
 Activities: 4 course, 10 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

Groups and rows of 2
 Activities: 3 course, 7 extra

Counting by 2
 Activities: 6 course, 5 extra

2x tables
 Activities: 3 course, 5 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, 14 extra

Counting by 5
 Activities: 4 course, 3 extra

5x tables
 Activities: 3 course, 7 extra

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

Counting by 10
 Activities: 5 course, 5 extra

Number of tens
 Activities: 1 course, 0 extra

Groups and Rows of 10.
 Activities: 4 course, 5 extra

10x tables
 Activities: 4 course, 6 extra

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

Arrays
 Activities: 1 course, 0 extra


71 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: Telling the time on an analog clock  quarter to and past. Months of the Year. Reading a Calendar.

Telling the time on an analog clock  quarter to and past
 Activities: 1 course, 8 extra

Months of the Year
 Activities: 1 course, 3 extra

Reading a Calendar
 Activities: 1 course, 5 extra

Tell the time: 5 minute intervals
 Activities: 6 course, 2 extra

Time
 Activities: 1 course, 0 extra

Reading Time  to the minute
 Activities: 2 course, 9 extra

Timelines
 Activities: 1 course, 6 extra

Directly compare length
 Activities: 3 course, 6 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, 7 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 centimeters
 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, 6 extra

Comparing area using informal units.
 Activities: 2 course, 5 extra

Partitioned rectangles
 Activities: 1 course, 0 extra

Full to empty
 Activities: 2 course, 1 extra

Comparing volume
 Activities: 1 course, 0 extra

Use direct and indirect comparisons to compare volume
 Activities: 2 course, 4 extra

Compare or measure volume measured using informal units
 Activities: 1 course, 10 extra

Volume  stacking boxes
 Activities: 1 course, 0 extra

Measure volume using informal units.
 Activities: 2 course, 5 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, 4 extra

Comparing mass
 Activities: 1 course, 0 extra

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

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

Measure mass with informal units using a balance scale
 Activities: 4 course, 7 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: Introduction to Shapes. Shapes  comparing size. Shapes match. Shapes to fill a space. Shapes in pictures.

Introduction to Shapes
 Activities: 1 course, 1 extra

Shapes  comparing size
 Activities: 1 course, 0 extra

Shapes match
 Activities: 1 course, 1 extra

Shapes to fill a space
 Activities: 1 course, 0 extra

Shapes in pictures
 Activities: 1 course, 0 extra

Naming shapes  objects
 Activities: 1 course, 5 extra

Shapes Match
 Activities: 1 course, 0 extra

Sorting twodimensional shapes
 Activities: 3 course, 5 extra

Shapes Match
 Activities: 1 course, 0 extra

Dividing shapes
 Activities: 1 course, 0 extra

Creating tessellating patterns
 Activities: 1 course, 2 extra

Identifying shapes based on attributes
 Activities: 1 course, 0 extra

Naming twodimensional shapes
 Activities: 1 course, 0 extra

Identifying twodimensional shapes
 Activities: 1 course, 0 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, 2 extra

Classify and sort threedimensional shapes
 Activities: 2 course, 7 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. Naming shapes  objects. Shapes Match 1. Sorting shapes according to colour and shape.

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

Naming shapes  objects
 Activities: 1 course, 5 extra

Shapes Match
 Activities: 1 course, 0 extra

Sorting twodimensional shapes
 Activities: 3 course, 5 extra

Shapes Match
 Activities: 1 course, 0 extra

Dividing shapes
 Activities: 1 course, 0 extra

Creating tessellating patterns
 Activities: 1 course, 2 extra

Identify and describe threedimensional objects in the environment
 Activities: 3 course, 2 extra

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

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

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

Identify and describe half and quarter turns
 Activities: 1 course, 2 extra

Interpret simple maps  the zoo
 Activities: 1 course, 2 extra

Symmetry: Manmade structures
 Activities: 1 course, 1 extra

Drawing symmetrical pictures
 Activities: 0 course, 6 extra

Identify transformations  pictures
 Activities: 1 course, 2 extra

Identify line of symmetry
 Activities: 1 course, 1 extra

Rotational symmetry  shapes
 Activities: 1 course, 1 extra

Apply enlargement transformation
 Activities: 1 course, 10 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, 3 extra

Describe movement using everyday language
 Activities: 1 course, 2 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, 1 extra

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

Identify and describe half and quarter turns
 Activities: 1 course, 2 extra

Interpret simple maps  the zoo
 Activities: 1 course, 2 extra


10 learning outcomes – click to view