# Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C

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5 Understanding x and Mental calculation strategies (x ) Begin to find remainders after division Understand distributive law Round up or down after division Round up or down after division Use relation between x and Use know facts and place value to multiply and divide mentally Use known facts to multiply and divide Develop and refine written methods for TU U Choose appropriate number operations and calculation methods to solve money or real life word problems with one or two steps Choose appropriate operations and calculation methods to solve many and real life word problems with one or more steps. Explain and record method. Check results. Explain working. Check results by approximating Fractions Compare two familiar fractions Know that ½ lies between ¼ and ¾ Begin to use ideas of simple proportion Estimate a simple fraction (proportion) of a shape Recognise the equivalence of decimal, fraction forms of one half, one quarter and tenths Understanding + and Mental calculation strategies (+ ) Pencil and paper procedures Time, including problems Add using pencil and paper methods Consolidate understanding of addition and subtraction Use known number facts and lace value to add/subtract mentally. Add/subtract mentally any pair of two-digit whole numbers Use informal pencil and paper methods to support, record or explain TU-TU and HTU-TU Use a calendar. Refine column addition and subtraction Choose appropriate number operations and calculation methods to solve time word problems with one or two steps Explain and record method. Check results. Read timetables and use this year s calendar Solve problems involving time Handling data Solve a given problem by organising and interpreting data in Venn and Carroll diagrams one criterion. Solve a given problem by collecting, classifying, representing and interpreting data in Venn and Carroll diagrams: two criteria. Use a computer and a branching tree program to sort shapes or numbers Assess and review Total 60

7 Mental/oral starter objectives Read and write whole numbers up to Count on/back in equal steps including beyond zero Recall addition and subtraction facts for each number to 20 Round any three-digit number to the nearest 10 or 100 Add/subtract any pair of two-digit numbers (including crossing 10 and 100 boundary). Derive doubles of multiples of 100 to 5000, corresponding halves Derive addition pairs that total 100, multiples of 50 that total 1000 Recall multiplication facts in x2, x3, x4, x5, x10 tables and derive division facts. Begin to recall facts in x6 and x8 tables Derive facts in x9 table, eg from 10 lots subtract 1 lot Multiply by partitioning, eg 23x4 Properties of numbers and number sequences Recognise multiples of 2, 3, 4, 5, 10 up to 10 th multiple Solve number problems and puzzles Recognise multiples of 6, 7, 8, 9 up to the 10 th multiple Recognise and extend sequences formed by adding 6, 7, 8, 9 starting from any number Know and apply tests of divisibility by 2, 4,5, 10 or 100 Reasoning about numbers Understanding x and Mental calculation strategies (x ) Pencil and paper procedures (x ) Money and real life problems Making decisions, checking results Explain methods and reasoning orally and in writing Make and investigate a general statement about numbers, by finding examples that satisfy it. Suggest extensions. Understand distributive law Round up or down after division Use relationship between x and Round up or down depending on the context Use known facts to multiply and divide Use known facts and place value to multiply and divide mentally Develop and refine written methods for TU U Extend written methods to TU x TU (long multiplication) Choose appropriate operations and calculation methods to solve many and real life word problems with one or more steps. Explain working. Use all four operations to solve money or real life word problems, including percentages. Express a quotient as a fraction, or as a decimal when dividing a whole number by 2, 4, 5, 10 or when dividing and pence Choose appropriate operations/calculation methods. Explain working Check results by approximating. Fractions and decimals Handling data Begin to use ideas of simple proportion Recognise the equivalence of decimal, fraction forms of one half, one quarter and tenths. Relate fractions to decimal forms (including tenths, hundredths) and to percentages Find fractions and simple percentages of whole number quantities Solve problems involving ratio (1 for every) and proportion (1 in every) Solve a given problem by collecting, classifying, representing and interpreting data in Venn and Carroll diagrams: two criteria. Use a computer and a branching tree program to sort shapes or numbers Solve a problem by representing and interpreting data in bar line charts: axis in 2s, 5s, 10s, 20s, 100s. Discuss cases where intermediate points have no meaning and cases where points where lines may be joined to show trend. Find the mode and calculate the range of a set of data Use a computer to compare different presentations of the same data.

8 Numeracy Medium term plan: Summer Term Level 4C/4B Year 5 Level 4A/5C Using and applying mathematics objectives (Problem solving, Communicating and Reasoning) Check answers and ensure solutions make sense in the context of the problem. (L4) Consider efficient methods, relating problems to previous experiences. (L5) Organise written work e.g record in order. (L4) Organise work by recording systematically. (L5) Identify patterns as they work and from their own generalisations/rules in words (L4) Identify more complex patterns, making generalisations in words and begin to express generalisations using symbolic notation (L5) Mental/oral starter objectives Read and write any whole number; round to nearest 10 or 100 Order positive and negative whole numbers; order fractions Round decimals to nearest whole number Know simple fractions as percentages Recall addition and subtraction facts for each number up to 20 Add/subtract any pair of two-digit numbers, including crossing 100 find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 1, 10 Use doubling and halving to multiply or divide two-digit numbers by 4 Recall facts in x2, x3, x4, x5, x6, x10 tables; derive division facts Recall facts in x7, x8, x9 tables and begin to derive division facts Multiply or divide whole numbers up to by 10 or 00 Partition to multiply by 2, 5 or 10 and use tests of divisibility Days Pages Topic Objectives Place value, ordering, rounding Using a calculator Understanding x and Mental calculation strategies (x ) Pencil and paper procedures (x ), including using a calculator Fractions, decimals and percentages Ratio and proportion Handling data Using a calculator Use vocabulary of estimation and approximation Make and justify estimates or large numbers and estimate simple proportions Round to the nearest 10, 100, or 1000 Consolidate rounding an integer to the nearest 10, 100 or 1000 Calculate a temperature rise or fall across 0 c Develop calculator skills and use a calculator effectively Express a quotient as a fraction, or as a decimal rounded to 1 decimal place. when dividing a whole number by 2, 4, 5, 10 or when dividing and pence by a two-digit number to give and pence. Round up or down after division depending on the context Use relationship between x and Use known facts and place value to multiply and divide mentally Extend written methods to TU x TU (long multiplication) Multiply HTU by TU Division HTU by TU (long division, whole number answer) Use all four operations to solve money or real life word problems, including percentages and VAT Choose appropriate operations/calculation methods. Explain working. Check results Check using products of odd/even numbers or doing the inverse calculation, including using a calculator Relate fractions to decimal forms (including tenths, hundredths) and to percentages. Begin to convert fractions to decimals using division Use calculator to compare two fractions Express simple fractions as percentages Find fractions and simple percentages of whole number quantities. Find simple percentages of whole number quantities, including using a calculator Solve problems involving ratio (1 for every) and proportion (1 in every) Solve simple problems involving ratio and direct proportion Solve a problem by representing and interpreting data in bar line charts: axis in 2s, 5s, 10s, 20s, 100s. Discuss cases where intermediate points have no meaning and cases where points where lines may be joined to show trend. Extract information from a simple frequency table, and convert the data to percentages, using a calculator where appropriate Interpret a simple pie-chart, using fractions or percentages Solve a problem by representing, extracting and interpreting data in frequency tables and bar charts with grouped discrete data. Find the mode and calculate the range of a set of data Use a computer to compare different presentations of the same data. Mental/oral starter objectives Read and write any whole number; round to nearest 10 or 100 Order a positive and negative whole numbers; order fractions Order decimals with the same number of decimal laces Know simple fractions as percentages/decimals Find simple percentages Add/subtract any pair of two-digit numbers, including crossing 100 Find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 1, 10 Use doubling and halving to multiply or divide two-digit numbers by 4 Recall multiplication facts to 10 x 10 and derive all division facts Identify pairs of factors of small two-digit numbers Multiply or divide whole numbers up to by 10 or 100 Partition to multiply by 2, 3, or 10 and use tests of divisibility Convert to pence, m to cm, km to m, kg to g and litres to millilitres Shape and space Reasoning about shapes Recognise reflective symmetry in regular polygons Recognise where a shape will be after reflection in a line not parallel to a side, or in two mirrors at 90 Complete symmetrical patterns with two lines of symmetry at right angles

9 Measures, including problems Mental calculation strategies (+ ) Pencil and paper procedures (+ ), including using a calculator Properties of numbers and number sequence Reasoning about numbers Reflect shapes in mirror parallel to one side Recognise where shape will be after translation Consolidate work on translations and rotations Make and investigate a general statement about shapes Use timetables. Know and use relationships between units of time Use, read and write standard metric units of capacity, including gallons to pints including abbreviations. Know and use relationships between them Convert larger to smaller units of capacity, and vice versa Know approximate metric equivalents for pint and gallon Suggest suitable units and equipment to estimate or measure capacity Read measurements from scales Use all four operations to solve measurement word problems, including time. Choose appropriate operations/calculation methods. Explain working Add several numbers Use known facts and place value for mental addition and subtraction Use number facts and place value to add and subtract mentally Extend written methods addition and subtraction of integers less than and decimals with up to two decimal places.extend written methods to column addition and subtraction of numbers involving decimals Use all four operations to solve money or real life word problems, including percentages Choose appropriate operations/calculation methods. Explain working Check using sums, differences of odd or even numbers Check using sums/differences of odd/even numbers or doing the inverse calculation, including using a calculator Find all the pairs of factors of any number up to 100 Factorise numbers to 100 into prime factors Investigate number sequences. Make general statements about odd and even numbers, including sums and differences Explain a generalised relationship in words Develop a generalised relationship in words; express it in a formula using symbols Solve number puzzles and explain methods and reasoning

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