Divisibility is when division of a number results in another whole number.

A divisor is a number that divides the integer exactly (no remainder).

A multiple is the result of multiplying a number by another whole number.

A half is one of two equal parts of a whole.

Use knowledge of the divisibility rules for divisors of 2 and 4 to solve problems

Maths

Represent counting in fours as the 4 times table

Use knowledge of the 4 times table to solve problems

Explain the relationship between adjacent multiples of four

Explain the relationship between multiples of 2 and multiples of 4

Use knowledge of the relationship between the 2 and 4 times tables to solve problems

Represent counting in eights as the 8 times table

Explain the relationship between adjacent multiples of eight

Explain the relationship between multiples of 4 and multiples of 8

Use knowledge of the relationship between the 4 and 8 times tables to solve problems

Explain the relationship between the multiples of 2, 4 and 8

Use knowledge of the relationship between the 2, 4 and 8 times tables to solve problems

Use knowledge of the divisibility rules for divisors 8 to solve problems

Scale known multiplication facts by 10

Scale divisions derived from multiplication facts by 10

In this unit pupils will solve multiplication and division problems using knowledge of the scaling relationship between the 2x 4x 8x tables. In the future unit pupils will  represent counting in 3s as the 3x table explaining the relationship between adjacent multiples 3 and represent counting in sixes as the 6x table explaining the relationship between adjacent multiples of 6

In the prior unit pupils doubled and halved 2 digit numbers. They learned to use times table facts to find the quotient for 2x 5x 10x tables. In this unit pupils will solve multiplication and division problems using knowledge of the scaling relationships between the 2x 4x 8x tables.

In this unit pupils will solve multiplication and division problems using knowledge of the scaling relationships between the 2-, 4- and 8-times tables.

2, 4 and 8 times tables: using times tables to solve problems

Which numbers are multiples of both 2, 4 and 8?

Which numbers are multiples of 2 and 4 but not multiples of 8?

Halving a number twice and getting a whole number, means it is a multiple of four. Which numbers are multiples of four?

If the last 2 digits are a multiple of four then the number is a multiple of four. Using this knowledge select the multiple of four.

Using the divisibility rules of 2 and 4 match the multiples correctly.

This image shows that 1 × 8 = 2 × 4 = 4 × {{ }}

 Doubling the multiples of 4 gives you the multiples of 8 Use this knowledge to match the statements to the product.

Doubling the multiples of 2 and doubling again gives the multiples of 8 Use this knowledge to match the statements to the product.

Mangoes are sold in boxes of four or eight. Izzy wants to buy two boxes of four mangoes. How many boxes of eight mangoes could she buy instead? {{ }} boxes.

Izzy has baked 32 cupcakes. How many boxes would she need if one box holds 8 cakes?  {{ }} boxes.

A fruit stall is having a sale. It sells peaches in boxes of four. How many peaches are there in six boxes? There will be {{ }} in six boxes.

Use knowledge of the divisibility rules for divisors of 2 and 4 to solve problems

Lesson outcome