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YEAR 6 NUMERACY PLANNING BLOCK E Securing number facts, relationships and calculating Unit 1 2 weeks Unit 2 2 weeks Unit 3 2 weeks 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 B23E123 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 B23E123 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 B23E123 Explain reasoning and conclusions, using words, symbols or diagrams as appropriate A123E12 Explain reasoning and conclusions, using words, symbols or diagrams as appropriate A123E12 Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage, including calculator use A23D123E13 Use a calculator to solve problems involving multi-step calculations A123B23C23D123E123 Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage, including calculator use A23D123E13 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 E123 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) A12B123E13 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 A23D123E13 Use a calculator to solve problems involving multi-step calculations A123B23C23D123E123 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 E123 Express one quantity as a percentage of another (e.g. express 400 as a percentage of 1000); find equivalent percentages, decimals and fractions E23 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) A12B123E13 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 A23D123E13 Use a calculator to solve problems involving multi-step calculations A123B23C23D123E123 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 E123 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) E123 Solve simple problems involving direct proportion by scaling quantities up or down E123 D:\147031038.doc Express one quantity as a percentage of another (e.g. express 400 as a percentage of 1000); find equivalent percentages, decimals and fractions E23 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) E123 Solve simple problems involving direct proportion by scaling quantities up or down E123 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) E123 Solve simple problems involving direct proportion by YEAR 6 NUMERACY PLANNING Key Assessment Opportunities 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 onedigit integer, and to multiply twodigit and three-digit integers by a two-digit integer Express one quantity as a percentage of another (e.g. express 400 as a percentage of 1000); find equivalent percentages, decimals and fractions EUAO1 Children tabulate information, working systematically, to help them to solve problems and explain their conclusions. They explain their methods and reasoning, using symbols where appropriate EUAO2 Children solve problems in different contexts. They identify and record the calculations needed, interpreting the solutions back in the original context and checking their accuracy. They use symbols where appropriate to explain their reasoning D:\147031038.doc Prior Learning Check that children can already: solve one- and two-step problems involving whole numbers and decimals use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000 use efficient written methods to add and subtract whole numbers and decimals with up to two decimal places, to multiply HTU U and TU TU, and to divide TU U find equivalent fractions understand percentage as the number of parts in every 100, and express tenths and hundredths as percentages use sequences to scale numbers up or down find simple fractions of percentages of quantities scaling quantities up or down E123 Vocabulary problem, solution, calculator, calculate, calculation, jotting, equation, operation, symbol, inverse, answer, method, strategy, explain, predict, reason, reasoning, pattern, relationship add, subtract, multiply, divide, sum, total, difference, plus, minus, product, quotient, remainder, multiple, common multiple, factor, divisor, divisible by decimal fraction, decimal place, decimal point, percentage, per cent ( ) fraction, proper fraction, improper fraction, mixed number, numerator, denominator, unit fraction, equivalent, cancel proportion, ratio, in every, for every, to every RESOURCES1 MATHEMATICAL CHALLENGE 55 – MONEY BAGS MATHEMATICAL CHALLENGE 76 – SLICK JIM SPRINGBOARD 6 UNIT 2 SPRINGBOARD 6 UNIT 7 WAVE 3 4 Y6 X/÷ FDP CONVERTER FRACTIONS 2 FRACTIONS ITP RATIO AND PROPORTION ITP TARGET PRACTICE TWENTY CARDS ITP RESOURCES2 MATHEMATICAL CHALLENGE 69 – COINS ON THE TABLE SPRINGBOARD 6 UNIT 3 SPRINGBOARD 6 UNIT 8 WAVE 3 2 Y6 X/÷ WAVE 3 3 Y6 X/÷ CALCULATE PERCENTAGES FDP CONVERTER FRACTION PERCENTAGE EQUIVALENCE FRACTIONS ITP RATIO AND PROPROTION ITP YEAR 6 NUMERACY PLANNING RESOURCES3 EUAO3 They continue to identify and record the calculations needed to solve problems. They interpret solutions in the original context and check their accuracy. They use symbols where appropriate to explain their reasoning and conclusions. Children solve multistep problems by breaking each problem down into steps, identifying and recording the calculation needed for each step MATHEMATICAL CHALLENGE 71 – PET SHOP SPRINGBOARD 6 UNIT 10 WAVE 3 4 Y6 X/÷ CALCULATE PERCENTAGES FDP CONVERTER FRACTION PERCENTAGE EQUIVALENCE MULTIPLICATION TABLES ITP RATIO AND PROPORTION ITP UNIT 1 Lesson Teaching Sequence Stage Objectives Objective linked assessment questions Starter Teaching LA MA HA Plenary Evaluation Objectives Objective linked assessment questions Starter Teaching LA MA HA Plenary Evaluation 1 2 3 4 5 6 7 8 9 10 UNIT 2 Lesson Teaching Sequence Stage 1 2 D:\147031038.doc YEAR 6 NUMERACY PLANNING 3 4 5 6 7 8 9 10 UNIT 3 Lesson Teaching Sequence Stage 1 2 3 4 5 6 7 8 9 10 D:\147031038.doc Objectives Objective linked assessment questions Starter Teaching LA MA HA Plenary Evaluation