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
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50 learning outcomes – click to view
Samples: Write numbers – to 1000. Reading numbers – to 1000. Comparing numbers – to 1000. Ordinal Numbers.
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Write numbers – to 1000
- Activities: 1 course, 1 extra
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Reading numbers – to 1000
- Activities: 1 course, 0 extra
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Comparing numbers – to 1000
- Activities: 1 course, 1 extra
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Ordinal numbers
- Activities: 3 course, 2 extra
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Odd or Even amounts
- Activities: 1 course, 0 extra
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Choosing the correct equation
- Activities: 1 course, 0 extra
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Numbers represented using MAB (up to 100)
- Activities: 2 course, 2 extra
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Counting in tens and ones
- Activities: 2 course, 2 extra
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Place value concepts (bundled sticks)
- Activities: 2 course, 0 extra
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Place value - hundreds, tens and ones
- Activities: 3 course, 3 extra
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Counting by 100 (multiples of 100)
- Activities: 1 course, 0 extra
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Writing numbers to 1000
- Activities: 1 course, 0 extra
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Numbers written in expanded form
- Activities: 1 course, 0 extra
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Adding by counting
- Activities: 1 course, 1 extra
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Adding single digit numbers
- Activities: 4 course, 18 extra
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Adding single digit numbers (problem solving)
- Activities: 2 course, 8 extra
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Adding 10 (to two digits)
- Activities: 4 course, 14 extra
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Make 10.
- Activities: 4 course, 4 extra
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Make 10 (problem solving)
- Activities: 2 course, 2 extra
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Single digit addition (missing number)
- Activities: 3 course, 10 extra
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Adding three numbers (small numbers)
- Activities: 3 course, 11 extra
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Adding three numbers
- Activities: 3 course, 3 extra
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Adding on 10 using blocks
- Activities: 1 course, 0 extra
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Adding multiples of 10 using blocks
- Activities: 1 course, 0 extra
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Explain addition and subtraction by drawing
- Activities: 1 course, 0 extra
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Adding single digits (matching answers)
- Activities: 2 course, 1 extra
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Adding on single digit numbers using blocks
- Activities: 1 course, 0 extra
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Adding two digit numbers using blocks
- Activities: 1 course, 0 extra
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Adding multiples of 10
- Activities: 2 course, 4 extra
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Adding two digit numbers (estimating)
- Activities: 1 course, 2 extra
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Adding on (numbers under 10)
- Activities: 3 course, 14 extra
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Adding 10
- Activities: 1 course, 3 extra
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Adding 10 (problem solving)
- Activities: 1 course, 0 extra
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Adding 20
- Activities: 2 course, 3 extra
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Adding 20 (problem solving)
- Activities: 1 course, 0 extra
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Adding 30
- Activities: 1 course, 3 extra
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Adding 30 (problem solving)
- Activities: 1 course, 0 extra
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Adding 40
- Activities: 1 course, 2 extra
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Adding 40 (problem solving)
- Activities: 1 course, 0 extra
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Adding 50
- Activities: 1 course, 3 extra
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Adding 50 (problem solving)
- Activities: 1 course, 0 extra
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Adding multiples of 10
- Activities: 2 course, 4 extra
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Adding on multiples of 100
- Activities: 1 course, 3 extra
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Adding two digit numbers (split strategy)
- Activities: 4 course, 2 extra
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Adding two digit numbers (jump strategy)
- Activities: 5 course, 5 extra
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Adding two digit numbers (written strategy)
- Activities: 4 course, 8 extra
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Adding two digit numbers (look for 10)
- Activities: 2 course, 0 extra
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Adding two digit numbers
- Activities: 1 course, 1 extra
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Adding two digit numbers (problem solving)
- Activities: 6 course, 12 extra
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Challenge Puzzle - Addition Pyramid
- Activities: 1 course, 0 extra
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50 learning outcomes – click to view
3.NA.1.b – Find fractions of sets, shapes, and quantities
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10 learning outcomes – click to view
Samples: Sharing between 2. Dividing by 2. Dividing by 2 (problem solving). Dividing using division symbol.
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Sharing between 2
- Activities: 1 course, 5 extra
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Dividing by 2
- Activities: 2 course, 1 extra
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Dividing by 2 (problem solving)
- Activities: 2 course, 3 extra
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Using the division symbol
- Activities: 2 course, 0 extra
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A half
- Activities: 2 course, 5 extra
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Halving groups
- Activities: 2 course, 1 extra
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Halves, thirds and quarters
- Activities: 1 course, 1 extra
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Quarters and eighths
- Activities: 4 course, 9 extra
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Dividing groups into halves and quarters
- Activities: 2 course, 5 extra
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Making equal amounts
- Activities: 1 course, 0 extra
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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
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5 learning outcomes – click to view
Samples: Sorting items. Repeating patterns. Skip Counting by 2's. Number Patterns (2,3,5,10).
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Sort and classify objects
- Activities: 2 course, 0 extra
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Continue patterns created with objects
- Activities: 2 course, 5 extra
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Counting by 2 (to 20)
- Activities: 3 course, 10 extra
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Number Patterns (2,3,5,10)
- Activities: 2 course, 5 extra
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Representing word problems as number sentences
- Activities: 1 course, 0 extra
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5 learning outcomes – click to view
3.NA.3 – Continue spatial patterns and number patterns based on simple addition or subtraction.
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71 learning outcomes – click to view
Samples: Adding ones. Adding single digit numbers. Adding single digit numbers (problem solving). Counting Forwards By 10.
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Adding by counting
- Activities: 1 course, 1 extra
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Adding single digit numbers
- Activities: 4 course, 18 extra
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Adding single digit numbers (problem solving)
- Activities: 2 course, 8 extra
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Adding 10 (to two digits)
- Activities: 4 course, 14 extra
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Make 10.
- Activities: 4 course, 4 extra
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Make 10 (problem solving)
- Activities: 2 course, 2 extra
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Single digit addition (missing number)
- Activities: 3 course, 10 extra
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Adding three numbers (small numbers)
- Activities: 3 course, 11 extra
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Adding three numbers
- Activities: 3 course, 3 extra
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Adding on 10 using blocks
- Activities: 1 course, 0 extra
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Adding multiples of 10 using blocks
- Activities: 1 course, 0 extra
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Explain addition and subtraction by drawing
- Activities: 1 course, 0 extra
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Adding single digits (matching answers)
- Activities: 2 course, 1 extra
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Adding on single digit numbers using blocks
- Activities: 1 course, 0 extra
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Adding two digit numbers using blocks
- Activities: 1 course, 0 extra
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Adding multiples of 10
- Activities: 2 course, 4 extra
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Adding two digit numbers (estimating)
- Activities: 1 course, 2 extra
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Adding on (numbers under 10)
- Activities: 3 course, 14 extra
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Adding 10
- Activities: 1 course, 3 extra
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Adding 10 (problem solving)
- Activities: 1 course, 0 extra
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Adding 20
- Activities: 2 course, 3 extra
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Adding 20 (problem solving)
- Activities: 1 course, 0 extra
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Adding 30
- Activities: 1 course, 3 extra
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Adding 30 (problem solving)
- Activities: 1 course, 0 extra
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Adding 40
- Activities: 1 course, 2 extra
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Adding 40 (problem solving)
- Activities: 1 course, 0 extra
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Adding 50
- Activities: 1 course, 3 extra
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Adding 50 (problem solving)
- Activities: 1 course, 0 extra
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Adding multiples of 10
- Activities: 2 course, 4 extra
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Adding two digit numbers (split strategy)
- Activities: 4 course, 2 extra
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Adding two digit numbers (jump strategy)
- Activities: 5 course, 5 extra
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Adding two digit numbers (written strategy)
- Activities: 4 course, 8 extra
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Adding two digit numbers (look for 10)
- Activities: 2 course, 0 extra
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Adding two digit numbers
- Activities: 1 course, 1 extra
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Adding two digit numbers (problem solving)
- Activities: 6 course, 12 extra
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Challenge Puzzle - Addition Pyramid
- Activities: 1 course, 0 extra
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'Adding on' to subtract
- Activities: 1 course, 0 extra
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Subtracting single digit numbers
- Activities: 4 course, 12 extra
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Subtracting single digits from up to 20 (problem solving)
- Activities: 2 course, 6 extra
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Single digit subtraction (missing number)
- Activities: 3 course, 7 extra
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Subtracting 10 using blocks
- Activities: 1 course, 0 extra
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Subtracting multiples of 10 using blocks
- Activities: 1 course, 0 extra
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Single Digit Subtraction Match
- Activities: 1 course, 0 extra
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Subtracting 10
- Activities: 5 course, 11 extra
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Subtraction and addition (problem solving)
- Activities: 1 course, 0 extra
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Subtracting multiples of 100 (problem solving)
- Activities: 1 course, 0 extra
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Subtracting 10 (problem solving)
- Activities: 1 course, 1 extra
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Subtracting 20
- Activities: 2 course, 3 extra
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Subtracting 20 (problem solving)
- Activities: 1 course, 1 extra
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Subtracting 30
- Activities: 2 course, 3 extra
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Subtracting 30 (problem solving)
- Activities: 1 course, 0 extra
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Subtracting 40
- Activities: 1 course, 3 extra
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Subtracting 40 (problem solving)
- Activities: 1 course, 0 extra
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Subtracting 50
- Activities: 1 course, 3 extra
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Subtracting 50 (problem solving)
- Activities: 1 course, 0 extra
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Subtracting multiples of 10
- Activities: 2 course, 5 extra
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Groups and rows of 2
- Activities: 3 course, 7 extra
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Counting by 2
- Activities: 6 course, 5 extra
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2x tables
- Activities: 6 course, 5 extra
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2x tables (problem solving)
- Activities: 2 course, 4 extra
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2x Multiplication facts (times tables) - puzzle
- Activities: 1 course, 0 extra
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Groups and rows of 5
- Activities: 4 course, 14 extra
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Counting by 5
- Activities: 4 course, 3 extra
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5x tables
- Activities: 4 course, 7 extra
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5x tables (problem solving)
- Activities: 2 course, 3 extra
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Counting by 10
- Activities: 5 course, 5 extra
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Number of tens
- Activities: 1 course, 0 extra
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Groups and Rows of 10.
- Activities: 3 course, 6 extra
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10x tables
- Activities: 5 course, 6 extra
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10x tables (problem solving)
- Activities: 2 course, 3 extra
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Arrays
- Activities: 1 course, 0 extra
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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 whole-number scales and applying basic addition facts to standard units
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34 learning outcomes – click to view
Samples: Reading A Clock Quarter Past Quarter To. Months of the Year. Reading a Calendar.
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Telling the time on an analog clock - quarter to and past
- Activities: 2 course, 8 extra
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Months of the Year
- Activities: 1 course, 3 extra
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Reading a Calendar
- Activities: 1 course, 5 extra
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Tell the time: 5 minute intervals
- Activities: 6 course, 2 extra
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Time (problem solving)
- Activities: 1 course, 0 extra
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Reading Time - to the minute
- Activities: 2 course, 10 extra
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Timelines
- Activities: 1 course, 6 extra
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Directly compare length
- Activities: 1 course, 6 extra
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Compare the length of 3 things
- Activities: 1 course, 0 extra
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Measure length using informal units - blocks
- Activities: 1 course, 0 extra
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Measure length using informal units.
- Activities: 2 course, 7 extra
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Which measuring device?
- Activities: 2 course, 0 extra
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Using the appropriate tools for measuring length
- Activities: 3 course, 0 extra
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Order objects based on length.
- Activities: 1 course, 0 extra
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Estimate length in centimetres
- Activities: 2 course, 0 extra
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Representing lengths on a number line
- Activities: 1 course, 0 extra
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Adding and subtracting unit lengths
- Activities: 1 course, 0 extra
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Compare length - Graph
- Activities: 1 course, 0 extra
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Comparing area
- Activities: 1 course, 6 extra
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Area using informal units.
- Activities: 2 course, 5 extra
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Partitioned rectangles
- Activities: 1 course, 0 extra
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Full to empty
- Activities: 2 course, 1 extra
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Comparing volume
- Activities: 1 course, 0 extra
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Direct comparison - volume
- Activities: 2 course, 4 extra
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Compare or measure volume measured using informal units
- Activities: 1 course, 10 extra
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Volume - stacking boxes
- Activities: 1 course, 0 extra
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Objects using cubes
- Activities: 2 course, 5 extra
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Can I lift it?
- Activities: 1 course, 0 extra
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Light or Heavy
- Activities: 1 course, 0 extra
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Lighter and heavier
- Activities: 4 course, 3 extra
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Comparing mass
- Activities: 1 course, 0 extra
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Compare mass using a balance scale
- Activities: 3 course, 2 extra
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Compare mass using balance scales
- Activities: 1 course, 0 extra
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Measure mass with informal units using a balance scale
- Activities: 4 course, 7 extra
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34 learning outcomes – click to view
3.GM.2 – Sort objects and two- and three-dimensional shapes by their features, identifying categories within categories
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19 learning outcomes – click to view
Samples: Introduction to Shapes. Shapes - comparing size. Shapes match. Shapes to fill a space. Shapes in pictures.
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Introduction to Shapes
- Activities: 1 course, 1 extra
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Shapes - comparing size
- Activities: 1 course, 0 extra
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Shapes match
- Activities: 1 course, 1 extra
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Shapes to fill a space
- Activities: 1 course, 0 extra
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Shapes in pictures
- Activities: 1 course, 0 extra
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Naming shapes - objects
- Activities: 1 course, 5 extra
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Shapes Match
- Activities: 1 course, 0 extra
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Sorting two-dimensional shapes
- Activities: 3 course, 4 extra
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Shapes Match
- Activities: 1 course, 0 extra
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Dividing shapes
- Activities: 1 course, 0 extra
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Creating tessellating patterns
- Activities: 1 course, 2 extra
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Identifying shapes based on attributes
- Activities: 1 course, 0 extra
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Naming two-dimensional shapes
- Activities: 1 course, 0 extra
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Identifying two-dimensional shapes
- Activities: 1 course, 0 extra
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Objects match - drawings
- Activities: 1 course, 0 extra
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Objects match
- Activities: 2 course, 0 extra
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Identify and describe three-dimensional objects in the environment
- Activities: 3 course, 2 extra
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Classify and sort three-dimensional objects
- Activities: 2 course, 7 extra
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Joining 3D objects to make composite objects
- Activities: 1 course, 0 extra
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19 learning outcomes – click to view
3.GM.3 – Represent reflections, translations, and rotations by creating and describing patterns
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19 learning outcomes – click to view
Samples: Patterns created by objects. Naming shapes - objects. Shapes Match 1. Sorting Shapes according to colour.
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Explore patterns created by objects
- Activities: 2 course, 0 extra
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Naming shapes - objects
- Activities: 1 course, 5 extra
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Shapes Match
- Activities: 1 course, 0 extra
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Sorting two-dimensional shapes
- Activities: 3 course, 4 extra
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Shapes Match
- Activities: 1 course, 0 extra
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Dividing shapes
- Activities: 1 course, 0 extra
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Creating tessellating patterns
- Activities: 1 course, 2 extra
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Identify and describe three-dimensional objects in the environment
- Activities: 3 course, 2 extra
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Joining 3D objects to make composite objects
- Activities: 1 course, 0 extra
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Identify image transformations - slide, flip or turn
- Activities: 1 course, 1 extra
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Investigate the effect of slides, flips and turns.
- Activities: 1 course, 0 extra
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Identify and describe half and quarter turns
- Activities: 1 course, 2 extra
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Interpret simple maps - the zoo
- Activities: 1 course, 2 extra
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Symmetry: Man-made structures
- Activities: 1 course, 1 extra
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Drawing symmetrical pictures
- Activities: 0 course, 6 extra
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Identify transformations - pictures
- Activities: 1 course, 2 extra
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Identify line of symmetry
- Activities: 1 course, 1 extra
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Rotational symmetry - shapes
- Activities: 1 course, 1 extra
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Apply enlargement transformation
- Activities: 1 course, 10 extra
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19 learning outcomes – click to view
3.GM.4 – Describe personal locations and give directions, using whole-number measures and half- or quarter-turns.
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10 learning outcomes – click to view
Samples: Position using everyday language: Activity 1. Describe movement using everyday language. Follow simple directions.
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Describe position by using everyday language.
- Activities: 2 course, 3 extra
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Describe movement using everyday language
- Activities: 1 course, 1 extra
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Follow simple directions
- Activities: 1 course, 0 extra
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Follow directions to locations
- Activities: 1 course, 0 extra
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Describe movement using positional language
- Activities: 1 course, 0 extra
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Give directions to reach a location
- Activities: 1 course, 0 extra
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Identify image transformations - slide, flip or turn
- Activities: 1 course, 1 extra
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Investigate the effect of slides, flips and turns.
- Activities: 1 course, 0 extra
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Identify and describe half and quarter turns
- Activities: 1 course, 2 extra
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Interpret simple maps - the zoo
- Activities: 1 course, 2 extra
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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 whole-number data
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9 learning outcomes – click to view
Samples: Answer simple questions to collect data. Using simple questions to gather data. Interpret data as drawings.
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Answer yes/no questions to collect data
- Activities: 2 course, 1 extra
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Choose simple questions to gather responses
- Activities: 2 course, 0 extra
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Interpret data presented using drawings and symbols
- Activities: 2 course, 2 extra
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Interpret data presented in a table
- Activities: 2 course, 3 extra
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Interpret data presented with tally marks
- Activities: 2 course, 2 extra
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Interpret data presented in lists
- Activities: 1 course, 0 extra
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Column graphs
- Activities: 1 course, 0 extra
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Interpret data presented using picture graphs.
- Activities: 1 course, 4 extra
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Interpret data presented using simple column graphs
- Activities: 1 course, 12 extra
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9 learning outcomes – click to view
3.S.1.b – Interpret displays in context
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10 learning outcomes – click to view
Samples: Data - less or more. Answer simple questions to collect data. Using simple questions to gather data.
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Data - less or more
- Activities: 1 course, 0 extra
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Answer yes/no questions to collect data
- Activities: 2 course, 1 extra
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Choose simple questions to gather responses
- Activities: 2 course, 0 extra
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Interpret data presented using drawings and symbols
- Activities: 2 course, 2 extra
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Interpret data presented in a table
- Activities: 2 course, 3 extra
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Interpret data presented with tally marks
- Activities: 2 course, 2 extra
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Interpret data presented in lists
- Activities: 1 course, 0 extra
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Column graphs
- Activities: 1 course, 0 extra
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Interpret data presented using picture graphs.
- Activities: 1 course, 4 extra
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Interpret data presented using simple column graphs
- Activities: 1 course, 12 extra
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10 learning outcomes – click to view
3.S.2 – Compare and explain the likelihoods of outcomes for a simple situation involving chance.
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6 learning outcomes – click to view
Samples: Simple chance experiment - part 2. Chance - will, might or won't happen. Chance. Chance experiments.
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A game of Chance
- Activities: 0 course, 4 extra
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Describe chance outcomes as 'will', 'won't', or 'might' happen.
- Activities: 1 course, 0 extra
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Describe outcomes as 'likely' or 'unlikely' - 'certain' or 'impossible'.
- Activities: 1 course, 1 extra
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Recognise variation in results of chance experiments.
- Activities: 1 course, 1 extra
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Chance and probability
- Activities: 1 course, 0 extra
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Number of combinations
- Activities: 0 course, 3 extra
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6 learning outcomes – click to view
