Objectives

Units

1

2

3

• Tabulate systematically the information in a problem or puzzle; identify and record the steps or calculations needed to solve it, using symbols where appropriate; interpret solutions in the original context and check their accuracy

• Explain reasoning and conclusions, using words, symbols or diagrams as appropriate

• Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage, including calculator use

• Use knowledge of place value and multiplication facts to 10 10 to derive related multiplication and division facts involving decimals (e.g. 0.8 7, 4.8 6)

• Use efficient written methods to add and subtract integers and decimals, to multiply and divide integers and decimals by a one-digit integer, and to multiply two-digit and three-digit integers by a two-digit integer

• Use a calculator to solve problems involving multi-step calculations

• Express a larger whole number as a fraction of a smaller one (e.g. recognise that 8 slices of a 5-slice pizza represents or 1 pizzas); simplify fractions by cancelling common factors; order a set of fractions by converting them to fractions with a common denominator

• Express one quantity as a percentage of another (e.g. express 400 as a percentage of 1000); find equivalent percentages, decimals and fractions

• Relate fractions to multiplication and division (e.g. 6 ÷ 2 = of 6 = 6 × ); express a quotient as a fraction or decimal (e.g. 67 ÷ 5 = 13.4 or 13 ); find fractions and percentages of whole-number quantities (e.g. of 96, 65% of £260)

• Solve simple problems involving direct proportion by scaling quantities up or down