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The Primrose Primary Centre Maths Medium Term Plan – Year 6 EVERY DAY: Practise and develop oral and mental skills (e.g. counting, mental strategies, rapid recall of + , – , x and ÷ facts) Round numbers to the nearest 10, 100 or 1000. Mentally recall halves and quarters of whole numbers. Convert between km, m, cm and mm. Solve mental problems involving fractions of quantities. Round decimals to the nearest whole number or nearest tenth. Match a decimal, fraction or percentage to it’s equivalent. Rapidly recall multiplication and division facts to 10 x 10. Find simple percentages of numbers and measures. Give pairs of factors for whole numbers to 100. Solve ratio and proportion problems. Multiply and divide whole numbers by 10, 100 or 1000. Use a probability scale to place different probability Multiply a two-digit number by a one-digit number. outcomes. Use all four operations to solve problems involving money Order positive and negative numbers. and measures. Know multiples of 50 with a sum of 1000. Add/subtract any pair of two-digit numbers crossing 100. Find pairs of decimals with a sum of 0.1, 1 or 10. Count on or back in steps of 0.2, 025, 0,5 and 25. Calculate square numbers and square roots. Make estimates of measures or lengths. Revise factors, multiples and primes. Add decimals to make whole numbers. Count on or back in steps of 0.2, 025, 0.5 and 25. Find pairs of numbers with a sum of 100. Double decimals (eg. 3.8 x 2, 0.76 x 2) Add or subtract four-digit multiples of 100. Order positive and negative numbers. YEAR 6 Number of weeks. Number and place value 1 Addition and subtraction 2 Mental Maths CD, Mental Tests book, Mental Multiplication CD Read and write whole numbers to 10,000 and know what each digit represents. Derive corresponding division facts know by heart doubles and halves. Use related facts between multiplication and addition and multiplication and division. Solve money problems mentally involving %, giving change and savings. Calculate perimeters and area of plane shapes. Order fractions, decimals and percentages on a number line. Add several numbers mentally. Check sums with an inverse operation (+ /-, x/÷) Partition numbers into Th, H, T and U. Subtract by counting on from the smaller number to the larger number. Autumn Spring Summer Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit. •use negative numbers in context. Perform mental calculations, including with mixed operations and large numbers. •use their knowledge of the order of operations to carry out calculations involving the four operations. Round any whole number to a required degree of accuracy. •calculate intervals across zero. Solve number and practical problems that involve place value and number facts. Perform mental calculations, including with mixed operations and large numbers. •use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Perform mental calculations, including with mixed operations and large numbers. •solve addition and subtraction multistep problems in contexts, deciding which operation and methods to use and why. •solve problems involving addition, subtraction, multiplication and division. The Primrose Primary Centre Maths Medium Term Plan – Year 6 Multiplication and division 2 Perform mental calculations, including with mixed operations and large numbers. •use their knowledge of the order of operations to carry out calculations involving the four operations. •identify common factors, common multiples and prime numbers. Fractions (including decimals, percentages, ratio and proportion). 3 Compare and order fractions including >1. ●add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. ●multiply simple pairs of proper fractions, writing the answer in its simplest form. ●divide proper fractions by whole numbers e.g. 1/3 +2= 1/6. ●identify the value of each digit in numbers given to three decimal places. ● multiply and divide numbers by 10,100 and 1000 giving answers up to three decimal places. ●use common factors to simplify fractions; use common multiples to express fractions in the same denominator. Perform mental calculations, including with mixed operations and large numbers. •multiply multi digit numbers up to 4 digits by a two digit whole number using the formal written method of long multiplication. •divide numbers up to 4 digits by a two digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions or by rounding as appropriate for the context. •divide numbers up to 4 digits by a two digit number using the formal written method of short division where appropriate interpreting remainders according to the context. ● solve problems involving the calculation of percentages e.g. 15% of 360 and the use of percentages for comparison. ●recall and use equivalences between simple fractions, decimals and percentages, including in different context. ● multiply one digit numbers with up to two decimal places by whole numbers. ●use written division methods in cases where the answer has up to two decimal places. ● associate a fraction with division and calculate a decimal fraction equivalent for a simple fraction. ●recall and use equivalences between simple fractions and decimals, including in different contexts. Perform mental calculations, including with mixed operations and large numbers. •use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. •solve problems involving addition, subtraction, multiplication and division. Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts. ●solve problems involving similar shapes where the scale factor is known or can be found. ●solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. ●solve problems which require answers to be rounded to specific degrees of accuracy. The Primrose Primary Centre Maths Medium Term Plan – Year 6 Measure 1 Recognise that shapes with the same area can have different perimeters and vice versa. ●recognise when it is possible to use formulae for area and volume of shapes. ● calculate the area of parallelogram and triangles. Calculate, estimate and compare volume of cubes and cuboids, using standard units, including cubic centimetres and cubic metres and extending to other units. Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius. ●recognise angles where they meet at a point, are on a straight line, or are vertically opposite and find missing angles. Interpret pie charts and line graphs. ●Calculate and interpret the mean as an average. Describe positions on the full coordinate grid (four quads). ●Draw and translate simple shapes on the coordinate plane and reflect them in the axes. 1 Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate. ●use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit and vice versa, using decimal notation to up to three decimal places. ●convert between miles and kilometres. Draw 2D shapes using given dimensions and angles. ●compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygons. ●recognise, describe and build simple 3D shapes, including making nets. Construct pie charts and line graphs. Geometry 1 Statistics Algebra. 1 Use simple formulae Generate and describe linear number sequence. Express missing number problems algebraically. ●Find pairs of numbers that satisfy an equation with two unknowns. ●Enumerate possibilities of combinations of two variables. Use pie charts and line graphs to solve problems.