Number: multiplication and division

Doubling and halving

Calculating strategies: near-doubles below 50
Doubling 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 digit
Column 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 calculations
Order 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 factors
Identifying 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 fraction
Introduction 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 statements
Odd 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 statements
Multiplying 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 facts
Recall 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 form
Ratio: expressing information in words in a ratio

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