The principal focus of mathematics in Year 5 is to extend and consolidate their knowledge of the four operations: addition, subtraction, multiplication and division. Pupils will use increasingly larger numbers up to million. Pupils will be encouraged to experience numbers within different contexts including: geometry, measure, statistics and position with increasing complexity. Pupils will extend their knowledge of fractions, decimals, percentages and the relationship between them. They will also extend their knowledge of number through square, cube and prime numbers.

We’ve broken the year’s key learning into 10 skills. If children can master these in year 5, they will make a flying start to year 6. They won’t necessarily be mastered in order.

**Skill 1**

Apply Times-Tables up to 12 x 12, including associated division facts.

(e.g. 3 x 4 = 12 therefore 30 x 4 = 120)

(e.g. 48 ÷ 8 = 6 therefore 6 x 8 = 48)

Skill **2**

Apply Column Addition for numbers with more than 4 digit numbers, in and out of context (money and measures), including decimals. Solve missing number problems.

**Skill 3**

Apply Column Subtraction for numbers with more than 4 digits, in context of money, measures, geometry and statistics, including decimals. Solve missing number problems.

**Skill 4**

Apply formal written methods of Multiplication for up to ThHTU x U/TU, including long multiplication for two digit numbers.

**Skill 5**

Apply formal written methods of short Division for ThHTU ÷ U digit with remainders appropriate for the context.

**Skill 6**

Calculate multiplication and division by 10 and 100 and 1000, using whole numbers and decimals. (e.g. 71 x 100 = 7100)

**Skill 7**

Add, subtract and multiply fractions with the same denominator and denominators that are multiples of the same number.

(e.g. 2/3 + 5/6)

**Skill 8**

Read, write, order and find equivalence for proper and mixed fractions. Apply times tables knowledge (2, 3, 4, 5, 10, 25, 50…)

**Skill 9**

Apply understanding of the mathematical symbols < > and = in balance and missing number problems. (e.g. 3 x __ = 10 + 5) through a range of number contexts.

**Skill 10**

Apply written methods for all four operations to check answers, using the inverse operation. (e.g. 100 – 63 = 37 so 37 + 63 = 200)