Download multiplication and division concept sequence

MULTIPLICATION AND DIVISION CONCEPT SEQUENCE
Kindergarten:
 Informal understanding of making, describing, comparing, joining and taking away from groups (in Informal Number Concepts Sequence)
Year 1:
 2 ways to divide by 2 – ‘groups of 2’ and ‘2 equal groups’
 Rhythmic and skip counting by 2s, 5s, and 10s
 Grouping in 2s, 5s and 10s and rhythmic or skip counting to find total
Year 2:
 Dividing into equal rows (array), describing the array using division and multiplication, and finding total by rhythmic or skip counting, and
by using the number of rows and the number in each row to find total
 Recording multiplication as repeated addition and division as repeated subtraction on a number line
 Multiply coins and notes
 Divide by making 'groups of …' and by making '… equal groups'
 Divide by 4 by making 'groups of 4' and by making '4 equal groups', identifying quarters
 Divide by 8 by making 'groups of 8' and by making '8 equal groups', identifying eighths
Year 3:
 Multiply and divide by 10, by 2, by 4, by 3 and by 5 using mentals strategies
Year 4:
 Multiply and divide by 9, by 6, by 8 and by 7 using mentals strategies
Year 5:
 Highest common factor
 Divide remainder to create a fraction
 Divisibility tests
 Exposure to Multiplication and Division algorithms
Year 6:
 Multiply and divide decimals
 Division is multiplication by a fraction
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Multiplication and Division Concept
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Divide by making 'groups of' and 'equal groups'
2
Divide by 2 by grouping into 2 equal groups, determine how many in each group, describe part left over, halves
Divide by 2 by sharing into groups of 2, determine the number of groups, describe part left over
3
Rhythmic / skip count forwards and backwards by 2s, 5s and 10s naming multiples on a number line and on a hundred chart
4
Make groups of 2, 5 and 10, and find total using skip and rhythmic counting
5
Divide into equal rows (array) with no remainder, then describe using multiplication
Find total using skip counting,
Find total by number of rows and number in each row
Record multiplication and division as repeated addition and subtraction on a number line
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Multiplication of coins and notes to make equivalent values, 20 cents = 2 x 10 cents, 5 x 20 cents = $1, 4 x $5 = $20
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Divide by making ‘groups of …’ and count groups, and making ‘… equal groups’ and count counters in each group
Divide into 'groups of …' and '… equal groups' and describe part left over
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Divide into 'groups of 4' and '4 equal groups' and describe part left over
Divide by 4 by grouping into 4 equal groups, determine how many in each group, describe part left over, quarters
9
Divide into 'groups of 8' and '8 equal groups' and describe part left over
Divide by 8 by grouping into 8 equal groups, determine how many in each group, describe part left over, eighths
10
Multiplication and division by 10 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
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2
Multiplication and Division Concept
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Multiplication and division by 2 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
12
Multiplication and division by 4 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
13
Multiplication and division by 3 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, recall multiple, divide
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Multiplication and division by 5 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
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3
Multiplication and Division Concept
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Multiplication and division by 9 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
16
Multiplication and division by 6 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
17
Multiplication and division by 8 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
18
Multiplication and division by 7 using mental strategies
i single-digit number multiply, recall multiple, divide
ii teen number multiply, divide
iii lower two-digit number multiply, divide
iv higher two-digit number multiply, divide
v three-digit number multiply, divide
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4
Multiplication and Division Concept
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Describe patterns formed by skip and rhythmic counting forwards and backwards by 3, 4, 6, 7, 8, 9, 10 identifying the terms as
multiples of 3, 4, 6, 7, 8, 9, 10 identifying the rule and terms through multiplication
Describe patterns formed by skip and rhythmic counting forwards and backwards by 3, 4, 6, 7, 8, 9, 10 from any point on number
line identifying the rule
Describing a rule using multiplication or division and recording the number pattern
20
Solve word problems using number sentences involving multiplication and division
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Highest common factor
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Explain equivalent division calculations result if both numbers are divided by the same factor
Create and solve equivalent number sentences involving multiplication and division
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Dividing by single-digit numbers, dividing the remainder to create a fraction
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Divisibility Tests
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Multiplication of 2 two-digit numbers using mental strategies
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Expose to formal algorithms for Multiplication and Division
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Multiply and divide decimals to thousandths by whole numbers and powers of 10
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Record remainders as fractions and decimals when dividing by 10
29
Division as a fraction of a quantity is multiplication by a fraction
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5
Multiplication and Division Concept
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Prime and composite numbers
Explain composite numbers as the product of prime factors
Use prime factors to simplify calculations
31
Identify and explain square numbers
32
Missing and equivalent number sentences using order of operations and grouping symbols
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
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