Maths Year 6

Year 6 KPIs: 

Pupils will be able to:

• demonstrate an understanding of place value, including large numbers and decimals (e.g. what is the value of the ‘7’ in 276,541?; find the difference between the largest and smallest whole numbers that can be made from using three digits; 8.09 =8+9?; 28.13=28+?+0.03)

• calculate mentally, using efficient strategies such as manipulating expressions using commutative and distributive properties to simplify the calculation (e.g. 53 – 82 + 47 = 53 + 47 – 82 = 100 – 82 = 18; 20 Å~ 7 Å~ 5 = 20 Å~ 5 Å~ 7 = 100 Å~ 7 = 700; 53 ÷ 7 + 3 ÷ 7 = (53 +3) ÷ 7 = 56 ÷ 7 = 8)

• use formal methods to solve multi-step problems (e.g. find the change from £20 for three items that cost £1.24, £7.92 and £2.55; a roll of material is 6m long: how much is left when 5 pieces of 1.15m are cut from the roll?; a bottle of drink is 1.5 litres, how many cups of 175ml can be filled from the bottle, and how much drink is left?)

• recognise the relationship between fractions, decimals and percentages and can express them as equivalent quantities (e.g. one pice of cake that has been cut into 5 equal slices can be expressed as 1/5 or 0.2 or 20% of the whole cake)

• calculate using fractions, decimals or percentages (e.g. knowing that 7 divided by 21 is the same as 7/21 and that is equal to 1/3; 15% of 60; 11/2+3/4; 7/9 of 108; 0.8x70)

• substitute values into a simple formula to solve problems (e.g. perimeter of a rectangle or area of a triangle)

• calculate with measures (e.g. calculate length if a bus journey given start and end times; convert 0.05km into m and then cm)

• use mathematical reasoning to find missing angles (e.g. the missing angle in an isosceles triangle when one of the angles is given; the missing angle in a more complex diagram using knowledge about angles at a point and vertically opposite angles)

Pupils will be able to:

• work in a systematic, logical way to find patterns, generalise and  justify mathematical thinking 

• demonstrate sufficient depth of knowledge and understanding to reason and explain mathematical concepts and procedures and use them to solve  a variety of problems, using mathematical language