## Mathematics – New Zealand – National Standards

• ##### 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

• 115 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: 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
• #### Reducing numbers from their expanded form

• Activities: 1 course, 0 extra
• #### Compare two three-digit 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

• Activities: 2 course, 3 extra

• Activities: 5 course, 10 extra

• Activities: 2 course, 5 extra

• Activities: 3 course, 4 extra
• #### Make 10.

• Activities: 3 course, 0 extra
• #### Make 10

• Activities: 1 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

• Activities: 1 course, 2 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 2 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 2 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 1 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 2 extra

• 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

• Activities: 4 course, 2 extra
• #### Two digit addition - look for 10

• Activities: 2 course, 0 extra

• Activities: 1 course, 0 extra

• Activities: 4 course, 10 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 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

• 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)

• Activities: 1 course, 0 extra
• #### Subtracting 10

• Activities: 1 course, 2 extra
• #### Subtracting 10

• Activities: 1 course, 0 extra
• #### Subtracting 20

• Activities: 2 course, 2 extra
• #### Subtracting 20

• Activities: 1 course, 0 extra
• #### Subtracting 30

• Activities: 2 course, 2 extra
• #### Subtracting 30

• Activities: 1 course, 0 extra
• #### Subtracting 40

• Activities: 1 course, 2 extra
• #### Subtracting 40

• Activities: 1 course, 0 extra
• #### Subtracting 50

• Activities: 1 course, 2 extra
• #### Subtracting 50

• 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
• 4.NA.1.b – Find fractions of sets, shapes, and quantities

• 25 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: 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
• #### 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, 2 extra
• #### Represent money in multiple ways

• Activities: 1 course, 0 extra
• #### Paying for goods and calculating totals

• Activities: 1 course, 5 extra
• #### Price variations for similar goods

• Activities: 1 course, 0 extra
• #### Dividing by 3

• Activities: 4 course, 2 extra
• #### Dividing by 3

• Activities: 1 course, 0 extra
• #### Dividing by 3

• Activities: 1 course, 0 extra
• #### Dividing by 4

• Activities: 3 course, 4 extra
• #### Dividing by 4

• Activities: 1 course, 0 extra
• #### Dividing by 4

• Activities: 1 course, 2 extra
• ##### 4.NA.2 – Create, continue, and give the rule for sequential patterns with two variables
• 30 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 Multiplications facts (times tables)

• Activities: 3 course, 4 extra
• #### 2x Multiplication facts (times tables)

• Activities: 2 course, 3 extra
• #### 2x Multiplication facts (times tables) - puzzle

• Activities: 1 course, 0 extra
• #### Groups and Rows of 5

• Activities: 4 course, 9 extra
• #### Skip counting 5's

• Activities: 3 course, 2 extra
• #### 5x Multiplication facts (times tables)

• Activities: 3 course, 5 extra
• #### 5x Multiplication facts (times tables)

• 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, 4 extra
• #### 10x Multiplication facts (times tables)

• Activities: 3 course, 5 extra
• #### 10x Multiplication facts (times tables)

• Activities: 2 course, 2 extra
• #### Arrays

• Activities: 1 course, 0 extra
• #### Groups and Rows of 3.

• Activities: 5 course, 0 extra
• #### 3x Multiplication facts (times tables)

• Activities: 3 course, 6 extra
• #### 3x Multiplication facts (times tables)

• Activities: 2 course, 2 extra
• #### Challenge puzzle - Recall 3x multiplication facts

• Activities: 1 course, 0 extra
• #### Groups and Rows of four.

• Activities: 5 course, 3 extra
• #### 4x Multiplication facts (times tables)

• Activities: 4 course, 4 extra
• #### 4x Multiplication facts (times tables)

• Activities: 2 course, 2 extra
• #### 4x Multiplication facts (times tables)

• Activities: 1 course, 0 extra
• #### 3x Multiplication facts (times tables)

• Activities: 1 course, 0 extra
• #### 4x Multiplication facts - 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
• ##### 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).

• Activities: 2 course, 3 extra

• Activities: 5 course, 10 extra

• Activities: 3 course, 4 extra
• #### Make 10.

• Activities: 3 course, 0 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

• Activities: 1 course, 2 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 2 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 2 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 1 extra

• Activities: 1 course, 0 extra

• Activities: 1 course, 2 extra

• 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

• Activities: 4 course, 2 extra
• #### Two digit addition - look for 10

• Activities: 2 course, 0 extra

• Activities: 1 course, 0 extra

• Activities: 4 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: 4 course, 3 extra
• #### Single digit subtraction

• 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
• #### Mentally subtract 10 from a number between 100-900

• Activities: 1 course, 0 extra
• #### Subtracting 10

• Activities: 1 course, 2 extra
• #### Subtracting 10

• Activities: 1 course, 0 extra
• #### Subtracting 20

• Activities: 2 course, 2 extra
• #### Subtracting 20

• Activities: 1 course, 0 extra
• #### Subtracting 30

• Activities: 2 course, 2 extra
• #### Subtracting 30

• Activities: 1 course, 0 extra
• #### Subtracting 40

• Activities: 1 course, 2 extra
• #### Subtracting 40

• Activities: 1 course, 0 extra
• #### Subtracting 50

• Activities: 1 course, 2 extra
• #### Subtracting 50

• 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)

• Activities: 2 course, 0 extra
• ##### 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 Clock Five Minute Intervals.

• #### Tell the time: 5 minute intervals

• Activities: 6 course, 0 extra
• #### Time

• Activities: 1 course, 0 extra
• #### Tell time to the minute

• Activities: 3 course, 7 extra
• #### Timelines

• Activities: 2 course, 4 extra
• #### Time

• Activities: 1 course, 0 extra
• #### Use am and pm

• Activities: 2 course, 0 extra
• #### Measure length in centimetres

• Activities: 4 course, 3 extra
• #### Length

• Activities: 1 course, 0 extra
• #### Differences in length - centimetres

• Activities: 1 course, 0 extra
• #### Measure length in metres

• Activities: 2 course, 5 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: 1 course, 4 extra
• #### Square metres

• Activities: 2 course, 0 extra
• #### Measure volume using litres and milliltres

• Activities: 2 course, 1 extra

• 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: 4 course, 10 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
• ##### 4.GM.2 – Sort objects and two- and three-dimensional 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 two-dimensional 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 two-dimensional shapes

• Activities: 2 course, 0 extra
• #### Naming and identifying two-dimensional 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. Three-dimensional objects

• Activities: 1 course, 2 extra
• #### Describe the features of three-dimensional objects

• Activities: 4 course, 5 extra
• #### Learning the names of three-dimensional objects

• Activities: 2 course, 0 extra
• #### Naming three-dimensional objects

• Activities: 2 course, 3 extra
• ##### 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.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, 2 extra
• ##### 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.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. 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: 2 course, 3 extra
• #### Interpret data presented using simple column graphs

• Activities: 1 course, 11 extra
• #### Use surveys to collect data

• Activities: 1 course, 0 extra
• 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: 2 course, 3 extra
• #### Interpret data presented using simple column graphs

• Activities: 1 course, 11 extra
• #### Interpret data presented in two way tables.

• Activities: 1 course, 3 extra
• #### Use surveys to collect data

• Activities: 1 course, 0 extra
• ##### 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: 3 course, 0 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, 1 extra