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
-
111 learning outcomes – click to view
Samples: Ordinal Numbers. Odd or Even amounts. Even numbers to 20 - equations. Place Values. Counting in tens and ones.
-
Ordinal numbers
- Activities: 3 course, 2 extra
-
Odd or Even amounts
- Activities: 1 course, 0 extra
-
Choosing the correct equation
- Activities: 1 course, 0 extra
-
Numbers represented using MAB (up to 100)
- Activities: 2 course, 2 extra
-
Counting in tens and ones
- Activities: 2 course, 2 extra
-
Place value concepts (bundled sticks)
- Activities: 2 course, 0 extra
-
Place value - hundreds, tens and ones
- Activities: 3 course, 3 extra
-
Counting by 100 (multiples of 100)
- Activities: 1 course, 0 extra
-
Numbers written in expanded form
- Activities: 1 course, 0 extra
-
Comparing numbers to 1000 (< = >)
- Activities: 1 course, 1 extra
-
Representing numbers (thousands)
- Activities: 2 course, 11 extra
-
Comparing numbers to 10,000 (<,=,>)
- Activities: 2 course, 0 extra
-
Place value of a digit
- 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 to the nearest 10
- Activities: 3 course, 3 extra
-
Rounding to the nearest hundred
- Activities: 3 course, 0 extra
-
Adding by counting
- Activities: 1 course, 1 extra
-
Adding single digit numbers
- Activities: 4 course, 18 extra
-
Adding single digit numbers (problem solving)
- Activities: 2 course, 8 extra
-
Adding 10 (to two digits)
- Activities: 4 course, 14 extra
-
Make 10.
- Activities: 4 course, 4 extra
-
Make 10 (problem solving)
- Activities: 2 course, 2 extra
-
Single digit addition (missing number)
- Activities: 3 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: 2 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 on 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
-
'Adding on' to subtract
- Activities: 1 course, 0 extra
-
Subtracting single digit numbers
- Activities: 4 course, 12 extra
-
Subtracting single digits from up to 20 (problem solving)
- Activities: 2 course, 6 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: 5 course, 11 extra
-
Subtraction and addition (problem solving)
- Activities: 1 course, 0 extra
-
Subtracting 10 (problem solving)
- Activities: 1 course, 1 extra
-
Subtracting 20
- Activities: 2 course, 3 extra
-
Subtracting 20 (problem solving)
- Activities: 1 course, 1 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 from 100
- Activities: 4 course, 5 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, 1 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
-
-
111 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, 9 extra
-
Dividing groups into halves and quarters
- Activities: 2 course, 5 extra
-
Fractions (problem solving)
- Activities: 1 course, 0 extra
-
Identifying fractions
- Activities: 3 course, 4 extra
-
Identifying mixed fractions
- Activities: 2 course, 0 extra
-
Fractions on a number line.
- Activities: 2 course, 1 extra
-
Matching equivalent fractions using fraction models
- Activities: 1 course, 0 extra
-
Drawing symmetrical pictures
- Activities: 0 course, 6 extra
-
Comparing and counting coins
- Activities: 1 course, 3 extra
-
Earning Pocket Money
- Activities: 1 course, 1 extra
-
Saving money
- Activities: 1 course, 1 extra
-
Good and Services
- Activities: 2 course, 1 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, 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
-
Dividing by 3
- Activities: 3 course, 3 extra
-
Dividing by 3 (problem solving)
- Activities: 2 course, 1 extra
-
Dividing by 4
- Activities: 3 course, 3 extra
-
Dividing by 4 (problem solving)
- Activities: 2 course, 3 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 by 2. 2x tables. 2x tables (problem solving). 2x Multiplication facts (times tables) - puzzle.
-
Groups and rows of 2
- Activities: 3 course, 7 extra
-
Counting by 2
- Activities: 6 course, 5 extra
-
2x tables
- Activities: 6 course, 5 extra
-
2x tables (problem solving)
- Activities: 2 course, 4 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: 4 course, 7 extra
-
5x tables (problem solving)
- Activities: 2 course, 3 extra
-
Counting by 10
- Activities: 5 course, 5 extra
-
Number of tens
- Activities: 1 course, 0 extra
-
Groups and Rows of 10.
- Activities: 3 course, 6 extra
-
10x tables
- Activities: 5 course, 6 extra
-
10x tables (problem solving)
- Activities: 2 course, 3 extra
-
Arrays
- Activities: 1 course, 0 extra
-
Groups and rows of 3
- Activities: 3 course, 1 extra
-
3x tables
- Activities: 4 course, 8 extra
-
3x tables (problem solving)
- Activities: 3 course, 3 extra
-
Puzzle - 3x tables
- Activities: 1 course, 0 extra
-
Groups and rows of 4
- Activities: 3 course, 4 extra
-
4x tables
- Activities: 5 course, 6 extra
-
4x tables (problem solving)
- Activities: 3 course, 3 extra
-
4x tables - puzzle
- Activities: 1 course, 0 extra
-
Number Patterns (2,3,5,10)
- Activities: 2 course, 5 extra
-
Representing word problems as number sentences
- Activities: 1 course, 0 extra
-
Number patterns - Identifying the rule
- Activities: 2 course, 0 extra
-
Continue number patterns resulting from addition or subtraction
- Activities: 1 course, 1 extra
-
Shapes Algebra
- Activities: 2 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.
-
56 learning outcomes – click to view
Samples: Adding ones. Adding single digit numbers. Counting Forwards By 10. Make 10. Single digit addition (missing number).
-
Adding by counting
- Activities: 1 course, 1 extra
-
Adding single digit numbers
- Activities: 4 course, 18 extra
-
Adding 10 (to two digits)
- Activities: 4 course, 14 extra
-
Make 10.
- Activities: 4 course, 4 extra
-
Single digit addition (missing number)
- Activities: 3 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: 2 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 three digit numbers using blocks
- Activities: 1 course, 0 extra
-
'Adding on' to subtract
- Activities: 1 course, 0 extra
-
Subtracting single digit numbers
- Activities: 4 course, 12 extra
-
Subtracting single digits from up to 20 (problem solving)
- Activities: 2 course, 6 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: 5 course, 11 extra
-
Subtracting 10 large numbers
- Activities: 1 course, 1 extra
-
Subtracting 10 (problem solving)
- Activities: 1 course, 1 extra
-
Subtracting 20
- Activities: 2 course, 3 extra
-
Subtracting 20 (problem solving)
- Activities: 1 course, 1 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 from 100
- Activities: 4 course, 5 extra
-
Subtraction (two step problem solving)
- Activities: 2 course, 1 extra
-
-
56 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
-
27 learning outcomes – click to view
Samples: Minutes past the hour: 5 minute intervals - digital clocks. Time (problem solving).
-
Tell the time: 5 minute intervals
- Activities: 6 course, 2 extra
-
Time (problem solving)
- Activities: 1 course, 0 extra
-
Reading Time - to the minute
- Activities: 2 course, 10 extra
-
Timelines
- Activities: 1 course, 6 extra
-
Time
- Activities: 1 course, 0 extra
-
Use a.m. and p.m.
- Activities: 1 course, 1 extra
-
Measure length in centimetres
- Activities: 4 course, 5 extra
-
Measure length in centimeters
- Activities: 0 course, 3 extra
-
Length - problem solving
- Activities: 1 course, 0 extra
-
Differences in length - centimetres
- Activities: 1 course, 0 extra
-
Measure length in metres
- Activities: 2 course, 11 extra
-
Area using informal units.
- Activities: 2 course, 5 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, 10 extra
-
Square centimetres
- Activities: 1 course, 8 extra
-
Square metres
- Activities: 2 course, 2 extra
-
Measure volume using litres and milliltres
- Activities: 2 course, 7 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, 19 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, 3 extra
-
Comparing angles
- Activities: 2 course, 1 extra
-
-
27 learning outcomes – click to view
4.GM.2 – Sort objects and two- and three-dimensional shapes by two features simultaneously
-
12 learning outcomes – click to view
Samples: Comparing angles. Identifying shapes based on attributes. Naming two-dimensional shapes.
-
Comparing angles
- Activities: 2 course, 1 extra
-
Identifying shapes based on attributes
- Activities: 1 course, 0 extra
-
Naming two-dimensional shapes
- Activities: 1 course, 0 extra
-
Identifying two-dimensional shapes
- Activities: 1 course, 0 extra
-
Parallel and perpendicular lines in shapes
- Activities: 1 course, 0 extra
-
Identifying types of lines
- Activities: 2 course, 9 extra
-
Describe two dimensional shapes
- Activities: 0 course, 1 extra
-
Construct and draw two dimensional shapes
- Activities: 1 course, 4 extra
-
Three-dimensional objects (top, side and front view)
- Activities: 1 course, 2 extra
-
Describe the features of three-dimensional objects
- Activities: 3 course, 8 extra
-
Learning the names of three-dimensional objects
- Activities: 2 course, 0 extra
-
Naming three-dimensional objects
- Activities: 2 course, 6 extra
-
-
12 learning outcomes – click to view
4.GM.3 – Represent and describe the symmetries of a shape
-
4 learning outcomes – click to view
Samples: Symmetry: Man-made structures. Drawing symmetrical pictures. Identify line of symmetry.
-
Symmetry: Man-made structures
- Activities: 1 course, 1 extra
-
Drawing symmetrical pictures
- Activities: 0 course, 6 extra
-
Identify line of symmetry
- Activities: 1 course, 1 extra
-
Rotational symmetry - shapes
- Activities: 1 course, 1 extra
-
-
4 learning outcomes – click to view
4.GM.4 – Create nets for cubes
-
1 learning outcomes – click to view
Samples: Matching - three-dimensional objects with their nets. Identifying the nets of three-dimensional shapes.
-
Nets of three dimensional objects
- Activities: 4 course, 4 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 - the zoo. Reading a simple grid map - the zoo. Interpret a basic map - island.
-
Interpret simple maps - the zoo
- Activities: 1 course, 2 extra
-
Reading a simple grid map - the zoo
- Activities: 1 course, 0 extra
-
Interpret a basic map - island
- Activities: 1 course, 2 extra
-
Using grid references
- Activities: 1 course, 10 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 whole-number data
-
6 learning outcomes – click to view
Samples: Using simple questions to gather data. Interpret data as drawings. Column graphs. Data - picture graphs.
-
Choose simple questions to gather responses
- Activities: 2 course, 0 extra
-
Interpret data presented using drawings and symbols
- Activities: 2 course, 2 extra
-
Column graphs
- Activities: 1 course, 0 extra
-
Interpret data presented using picture graphs.
- Activities: 1 course, 4 extra
-
Interpret data presented using simple column graphs
- Activities: 1 course, 12 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. Column graphs. Data - picture graphs.
-
Choose simple questions to gather responses
- Activities: 2 course, 0 extra
-
Interpret data presented using drawings and symbols
- Activities: 2 course, 2 extra
-
Column graphs
- Activities: 1 course, 0 extra
-
Interpret data presented using picture graphs.
- Activities: 1 course, 4 extra
-
Interpret data presented using simple column graphs
- Activities: 1 course, 12 extra
-
Interpret data presented in two way tables.
- Activities: 1 course, 3 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.
-
6 learning outcomes – click to view
Samples: Simple chance experiment - part 2. Chance - will, might or won't happen. Chance. Chance experiments.
-
A game of Chance
- Activities: 0 course, 4 extra
-
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, 1 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, 3 extra
-
-
6 learning outcomes – click to view
