Mathematics – New Zealand – National Standards
5.NA – Number and algebra
5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:
5.NA.1.a – Combine or partition whole numbers
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122 learning outcomes – click to view
Samples: Reading numbers to 10,000. Writing numbers to 10,000. Comparing numbers – to 10,000.
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Reading numbers to 10,000
- Activities: 1 course, 0 extra
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Writing numbers to 10,000
- Activities: 2 course, 0 extra
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Comparing numbers – to 10,000
- Activities: 1 course, 0 extra
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Comparing numbers to 1000 (< = >)
- Activities: 1 course, 1 extra
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Representing numbers (thousands)
- Activities: 3 course, 11 extra
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Comparing numbers to 10,000 (<,=,>)
- Activities: 2 course, 0 extra
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Place value of a digit
- Activities: 3 course, 1 extra
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Expanded notation
- Activities: 3 course, 4 extra
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Odd and even numbers
- Activities: 3 course, 2 extra
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Challenge puzzle - Odd and Even Numbers
- Activities: 1 course, 0 extra
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Rounding to the nearest 10
- Activities: 3 course, 3 extra
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Rounding to the nearest hundred
- Activities: 3 course, 0 extra
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Write numbers – to 100,000
- Activities: 2 course, 0 extra
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Reading numbers – to 100,000
- Activities: 1 course, 0 extra
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Comparing numbers – to 100,000
- Activities: 1 course, 0 extra
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Adding single digits (matching answers)
- Activities: 3 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 10 (to three digit numbers)
- Activities: 1 course, 1 extra
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Adding 100
- Activities: 1 course, 1 extra
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Adding multiples of 10
- Activities: 3 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: 5 course, 2 extra
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Adding two digit numbers (jump strategy)
- Activities: 6 course, 5 extra
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Adding two digit numbers (written strategy)
- Activities: 5 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: 2 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 three digit numbers using blocks
- Activities: 1 course, 0 extra
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Adding two digit numbers (missing number)
- Activities: 2 course, 5 extra
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Make 100
- Activities: 3 course, 2 extra
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Make 100 - problem solving
- Activities: 2 course, 3 extra
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Challenge puzzle - make 100
- Activities: 1 course, 0 extra
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Adding large numbers
- Activities: 4 course, 27 extra
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Adding large numbers (problem solving)
- Activities: 2 course, 10 extra
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Addition of large numbers (puzzle)
- Activities: 1 course, 0 extra
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Adding three numbers
- Activities: 6 course, 10 extra
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Adding and subtracting (problem solving)
- Activities: 1 course, 0 extra
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Adding three numbers (problem solving)
- Activities: 2 course, 4 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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Subtracting 10 large numbers
- Activities: 1 course, 1 extra
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Subtraction and addition (problem solving)
- Activities: 1 course, 1 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: 2 course, 1 extra
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Subtracting 20
- Activities: 3 course, 3 extra
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Subtracting 20 (problem solving)
- Activities: 1 course, 2 extra
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Subtracting 30
- Activities: 2 course, 2 extra
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Subtracting 30 (problem solving)
- Activities: 1 course, 2 extra
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Subtracting 40
- Activities: 1 course, 2 extra
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Subtracting 40 (problem solving)
- Activities: 1 course, 2 extra
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Subtracting 50
- Activities: 1 course, 3 extra
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Subtracting 50 (problem solving)
- Activities: 1 course, 1 extra
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Subtracting multiples of 10
- Activities: 3 course, 5 extra
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Subtracting 100
- Activities: 1 course, 1 extra
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Subtracting multiples of 100
- Activities: 1 course, 3 extra
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Subtracting from 100
- Activities: 5 course, 5 extra
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Place value - Subtract three digit numbers
- Activities: 1 course, 0 extra
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Subtraction (two step problem solving)
- Activities: 2 course, 1 extra
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Subtracting two digit numbers (adding on)
- Activities: 3 course, 0 extra
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Subtracting two digit numbers (jump back strategy)
- Activities: 5 course, 16 extra
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Subtracting two digit numbers (written strategy)
- Activities: 6 course, 10 extra
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Subtracting two digit numbers
- Activities: 1 course, 1 extra
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Subtracting two digit numbers (problem solving)
- Activities: 5 course, 21 extra
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Challenge puzzle - two digit subtraction
- Activities: 1 course, 0 extra
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Subtracting three digit numbers
- Activities: 2 course, 0 extra
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Subtracting from 1000
- Activities: 5 course, 8 extra
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Subtracting from 1000 (problem solving)
- Activities: 2 course, 6 extra
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Subtracting large numbers
- Activities: 5 course, 14 extra
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Subtracting large numbers (problem solving)
- Activities: 2 course, 6 extra
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Subtracting from 1000 and 10000 (problem solving)
- Activities: 3 course, 2 extra
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Subtraction - missing number
- Activities: 1 course, 2 extra
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Mentals 37
- Activities: 1 course, 0 extra
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Mentals 38
- Activities: 1 course, 0 extra
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Mentals 39
- Activities: 1 course, 0 extra
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Mentals 40
- Activities: 1 course, 0 extra
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Mentals 41
- Activities: 1 course, 0 extra
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Mentals 42
- Activities: 1 course, 0 extra
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Mentals 43
- Activities: 2 course, 0 extra
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Mentals 44
- Activities: 1 course, 0 extra
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Mentals 45
- Activities: 1 course, 0 extra
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Mentals 46
- Activities: 1 course, 0 extra
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Mentals 47
- Activities: 1 course, 0 extra
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Mentals 48
- Activities: 1 course, 0 extra
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Mentals 49
- Activities: 1 course, 0 extra
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Mentals 50
- Activities: 1 course, 0 extra
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Mentals 51
- Activities: 1 course, 0 extra
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Mentals 52
- Activities: 1 course, 0 extra
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Mentals 53
- Activities: 1 course, 0 extra
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Mentals 54
- Activities: 1 course, 0 extra
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Mentals 55
- Activities: 1 course, 0 extra
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Mentals 56
- Activities: 1 course, 0 extra
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Mentals 57
- Activities: 1 course, 0 extra
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Mentals 58
- Activities: 1 course, 0 extra
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Mentals 59
- Activities: 1 course, 0 extra
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Mentals 60
- Activities: 1 course, 0 extra
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Mentals 61
- Activities: 1 course, 0 extra
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Mentals 62
- Activities: 1 course, 0 extra
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Mentals 63
- Activities: 1 course, 0 extra
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Mentals 64
- Activities: 1 course, 0 extra
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Mentals 65
- Activities: 1 course, 0 extra
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Mentals 66
- Activities: 1 course, 0 extra
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Mentals 67
- Activities: 1 course, 0 extra
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Mentals 68
- Activities: 1 course, 0 extra
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Mentals 69
- Activities: 1 course, 0 extra
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Mentals 70
- Activities: 1 course, 0 extra
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Mentals 71
- Activities: 1 course, 0 extra
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Mentals 72
- Activities: 1 course, 0 extra
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122 learning outcomes – click to view
5.NA.1.b – find fractions of sets, shapes, and quantities
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42 learning outcomes – click to view
Samples: Dividing by 3. Dividing by 3 (problem solving). Dividing by 4. Dividing by 4 (problem solving). Dividing by 6.
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Dividing by 3
- Activities: 4 course, 3 extra
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Dividing by 3 (problem solving)
- Activities: 2 course, 2 extra
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Dividing by 4
- Activities: 4 course, 3 extra
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Dividing by 4 (problem solving)
- Activities: 2 course, 5 extra
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Dividing by 6
- Activities: 2 course, 1 extra
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Dividing by 6 (problem solving)
- Activities: 3 course, 4 extra
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Dividing by 7
- Activities: 2 course, 1 extra
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Dividing by 7 (problem solving)
- Activities: 4 course, 3 extra
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Dividing by 8 (problem solving)
- Activities: 3 course, 3 extra
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Dividing by 8
- Activities: 2 course, 1 extra
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Dividing by 9 (problem solving)
- Activities: 3 course, 6 extra
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Dividing by 9
- Activities: 1 course, 1 extra
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Fractions (problem solving)
- Activities: 1 course, 0 extra
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Identifying fractions
- Activities: 4 course, 4 extra
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Identifying mixed fractions
- Activities: 1 course, 0 extra
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Fractions on a number line.
- Activities: 3 course, 1 extra
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Matching equivalent fractions using fraction models
- Activities: 2 course, 0 extra
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Fractions of an area
- Activities: 2 course, 1 extra
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Comparing fractions as quantities.
- Activities: 1 course, 0 extra
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Comparing fractions - 1 whole
- Activities: 1 course, 0 extra
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Modelling equivalent fractions.
- Activities: 3 course, 3 extra
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Matching equivalent fractions
- Activities: 1 course, 0 extra
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Hundredths in their lowest forms
- Activities: 1 course, 0 extra
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Identifying simple fractions
- Activities: 1 course, 0 extra
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Count by halves, thirds, quarters and eighths.
- Activities: 1 course, 0 extra
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Tenths and hundredths.
- Activities: 3 course, 4 extra
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Comparing and counting notes and coins
- Activities: 1 course, 0 extra
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Paying for goods and services
- Activities: 1 course, 3 extra
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Represent money in multiple ways
- Activities: 1 course, 0 extra
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Paying for goods and calculating totals
- Activities: 1 course, 5 extra
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Price variation
- Activities: 1 course, 0 extra
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Calculations involving money
- Activities: 1 course, 0 extra
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Represent money in multiple ways
- Activities: 1 course, 1 extra
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Using ATM's to access our money
- Activities: 1 course, 1 extra
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Calculating the amount left over
- Activities: 1 course, 0 extra
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Calculating the change on simple transactions
- Activities: 1 course, 1 extra
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Reading a menu
- Activities: 1 course, 0 extra
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Reading a menu
- Activities: 1 course, 0 extra
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Money
- Activities: 1 course, 0 extra
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Budgeting
- Activities: 1 course, 0 extra
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Currencies around the world
- Activities: 2 course, 0 extra
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Different payment options
- Activities: 1 course, 0 extra
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42 learning outcomes – click to view
5.NA.2 – Create, continue, and predict further members of sequential patterns with two variables
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31 learning outcomes – click to view
Samples: Groups of 3. Groups of 3. 3x tables (problem solving). Challenge Puzzle - 3x tables. Groups of 4. Groups of 4.
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Number patterns and groups (of 3)
- Activities: 3 course, 1 extra
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3x tables
- Activities: 8 course, 8 extra
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3x tables (problem solving)
- Activities: 3 course, 3 extra
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Puzzle - 3x tables
- Activities: 1 course, 0 extra
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Groups and rows of 4
- Activities: 3 course, 4 extra
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4x tables
- Activities: 9 course, 6 extra
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4x tables (problem solving)
- Activities: 3 course, 6 extra
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4x tables - puzzle
- Activities: 1 course, 0 extra
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Groups and rows of 6
- Activities: 2 course, 0 extra
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6x tables
- Activities: 7 course, 4 extra
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6x tables (problem solving)
- Activities: 2 course, 6 extra
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Groups and rows of 7
- Activities: 2 course, 0 extra
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7x tables
- Activities: 7 course, 5 extra
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7x tables (problem solving)
- Activities: 3 course, 6 extra
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Groups and rows of 8
- Activities: 2 course, 0 extra
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8x tables
- Activities: 7 course, 5 extra
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8x tables (problem solving)
- Activities: 3 course, 5 extra
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Groups and rows of 9
- Activities: 2 course, 0 extra
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9x tables
- Activities: 7 course, 6 extra
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Multiplicative comparison (problem solving)
- Activities: 1 course, 1 extra
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9x tables (problem solving)
- Activities: 3 course, 7 extra
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2x-10x tables
- Activities: 5 course, 12 extra
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2x-10x tables (problem solving)
- Activities: 4 course, 9 extra
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2x-10x tables - puzzle
- Activities: 1 course, 0 extra
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Arrays
- Activities: 0 course, 1 extra
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Multiplicative comparisons
- Activities: 1 course, 0 extra
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Number patterns - Identifying the rule
- Activities: 2 course, 0 extra
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Continue number patterns resulting from addition or subtraction
- Activities: 1 course, 1 extra
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Shapes Algebra
- Activities: 2 course, 0 extra
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Explore patterns created by objects
- Activities: 2 course, 0 extra
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Balancing equations
- Activities: 2 course, 0 extra
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31 learning outcomes – click to view
5.NA.3 – Describe spatial and number patterns, using rules that involve spatial features, repeated addition or subtraction, and simple multiplication.
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97 learning outcomes – click to view
Samples: Adding single digit numbers. Adding on single digit numbers using blocks. Adding two digit numbers using blocks.
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Adding single digits (matching answers)
- Activities: 3 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 10 (to three digit numbers)
- Activities: 1 course, 1 extra
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Adding 100
- Activities: 1 course, 1 extra
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Adding multiples of 10
- Activities: 3 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: 5 course, 2 extra
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Adding two digit numbers (jump strategy)
- Activities: 6 course, 5 extra
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Adding two digit numbers (written strategy)
- Activities: 5 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: 2 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 three digit numbers using blocks
- Activities: 1 course, 0 extra
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Adding two digit numbers (missing number)
- Activities: 2 course, 5 extra
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Make 100
- Activities: 3 course, 2 extra
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Make 100 - problem solving
- Activities: 2 course, 3 extra
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Challenge puzzle - make 100
- Activities: 1 course, 0 extra
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Adding large numbers
- Activities: 4 course, 27 extra
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97 learning outcomes – click to view