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# Number: multiplication and division

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##### Doubling and halving

Calculating strategies: near-doubles below 50Doubling numbers below 50

Doubling numbers between 50 and 100

Halving multiples of 10

Halving numbers below 40

Odd and even numbers

Vocab for × (times, multiply, product etc.)

##### Multiplication

Column multiplication: 3 digits by 1 digitColumn multiplication: 3 digits by 1 digit, with carrying

Column multiplication: carrying into thousands column

Long multiplication: four digits by two digits

Long multiplication: three digits by two digits

Multiply and divide numbers mentally drawing upon known facts

Multiplying and dividing by 10, 100

Solve problems using multiplication

The inverse relationship between multiplication & division

The × (multiply) sign

Understand the commutative property for multiplication and division

Vocab for × (times, multiply, product etc.)

Word problems involving multiplication (×3, ×4)

Write and calculate mathematical statements (multiplication and division)

Write and calculate mathematical statements involving 2-digit by 1-digit numbers

##### Solve problems using multiplication and division

Estimating answers to harder calculationsOrder of operations (BODMAS or BIDMAS)

Performing mental multiplication calculations, using partitioning and doubling/halving

Solve one-step division problems using pictures and arrays

Solve one-step multiplication problems using pictures & arrays

Solve problems using division facts

Solve problems using multiplication facts

Solve problems using positive integer scaling

Solving problems using the distributive law to multiply two digit numbers by one digit

Understanding the equals sign

Word problems involving division

Word problems involving multiplication (x2, x5, x10)

Word problems involving multiplication (×3, ×4)

##### Multiples, factors, prime numbers, prime factors and composite numbers

Identifying factors and common factorsIdentifying factors and common factors

Identifying multiples and common multiples

Identifying multiples and common multiples

Recognizing and using factor pairs

Recognizing multiples of 2, 5 and 10

Recognizing multiples of 3

Recognizing multiples of 4

Recognizing prime numbers

Square and cube numbers

##### Division

Interpret remainders in division as remainders, a decimal or a fractionIntroduction to remainders in division

Long division: four digits by two digits

Multiplying and dividing by 10, 100

Short division: four digits by two digits

Short division: three digits by one digit, no remainders

Short division: three digits by one digit, with remainders

Solve problems using multiplication

The inverse relationship between multiplication & division

The ÷ (divide) symbol

Understand the commutative property for multiplication and division

Vocab for × (times, multiply, product etc.)

Write and calculate mathematical statements (multiplication and division)

##### Recall and use multiplication and division facts

Matching multiplication statements with repeated addition statementsOdd and even numbers

Solve problems using division facts

Solve problems using multiplication facts

##### Use place value, known and derived facts to multiply and divide

Matching multiplication statements with repeated addition statementsMultiplying by 1 and 0 and dividing by 1

Odd and even numbers

The inverse relationship between multiplication & division

Understand the commutative property for multiplication and division

##### Recall and use multiplication and division facts

Odd and even numbers in multiplication factsRecall and use division facts for the 10 times table

Recall and use division facts for the 2 times table

Recall and use division facts for the 5 times table

Recall and use multiplication facts for the 10 times table

Recall and use multiplication facts for the 2 times table

Recall and use multiplication facts for the 5 times table

Solve problems using multiplication facts

##### Ratio

Ratio: expressing a given ratio in its simplest formRatio: expressing information in words in a ratio