Year 6/Band 6 Autumn Term Maths Curriculum Progression and Assessment Criteria EVERY DAY: Practise and develop oral and mental skills (e.g. counting, mental strategies, rapid recall of +, and x facts) Read and write whole numbers. Order positive and negative whole numbers; order fractions. Round whole numbers to the nearest 10, 100, 1000. Add/subtract any pair of two-digit numbers including crossing 100; Derive sums and differences, e.g. 760 ± 280. Give pairs of factors up to 100. Use doubling or halving (see unit 2-3). Multiply or divide whole numbers by 10, 100 or 1000. Find pairs of numbers with a sum of 100; multiples of 50 with a sum of 1000; decimals with a sum of 0.1, 1 or 10. Count on/back in steps of 25, 0.2, 0.25, 0.5 Recall squares to 12 x 12. Double decimals e.g. 3.8 x 2, 0.76 x 2. Multiply or divide whole number by 10,000 or 1000. Multiply mentally any two-digit number to 50 by a one-digit number. Know some fractions as percentages/decimals. Find simple percentages. Find a difference by counting on Place value, ordering, rounding. Read, write, order and compare numbers to 10 000 000 and determine the value of each digit Multiply and divide numbers by 10, 100 and 1000 giving answers up to 3 decimal places Round any whole number to the required degree of accuracy Round decimals to nearest whole number or 1 decimal place Mental calculation strategies (+ - x ) Written methods Understand and use relationships between the four operations, and the principles of the arithmetic laws. Use related facts and doubling or halving: to multiply by 25, x 100 then 4. Revise formal methods for + - ( including decimals) x ( including long multiplication, whole numbers) and ( short division, whole numbers) Use all four operations to solve problems in real life. Choose, use appropriate operation and calculation method. Check by estimating. Use inverse operation. Fractions, decimals and percentages Change an improper fraction to a mixed number and vice versa. Recognise relationship between fractions. Find equivalent fractions, simplify fractions and compare and order fractions with different denominators Add/subtract fractions with different denominators and mixed numbers Multiply simple pairs of proper fractions Divide proper fractions by a whole number Find fractions of quantities Use decimal notation for tenths, hundredths and thousandths. Know what each digit represents. Give a decimal lying between two others, e.g. 3.4 and 3.5. Order mixed sets of numbers with up to 3 decimal places Find percentages of amounts and use percentages for comparison Know equivalent fractions, decimals, percentages. Order fractions, decimals and percentages in order of size. Handling data Find the mean of a set of data Solve simple problems using the mean
Algebra 1 Introduce concept of letters as unknown variables Simplify algebraic expressions and group like terms Shape and space Reasoning about shapes Read and plot coordinates in all 4 quadrants. Draw and translate simple shapes on the coordinate plane Reflect shapes in the axes (rotations? Not sure) Area and perimeter Revise area and perimeter of rectangles( using formula) and simple compound shapes Use square units for area Recognise that shapes with the same area can have different perimeters and vice versa Calculate areas of parallelograms and triangles Multiplying by decimals Multiplication of a whole number by a single digit decimal eg 37x0.6 or 12x0.04 Handling Data Revise interpretation of frequency tables, bar charts ( with discrete and grouped discrete data) and line graphs Algebra 2 Use algebraic formulae from familiar situations Substitute into formula
Year 6/Band 6 Spring Term Maths Curriculum Progression and Assessment Criteria EVERY DAY: Practise and develop oral and mental skills (e.g. counting, mental strategies, rapid recall of +, -, x and facts) Read and write whole numbers. Order a set of positive and negative numbers, fractions; mixed decimals. Recall squares to 12 x 12. Round whole numbers to 10, 100, 1000: Give pairs of factors for whole numbers to 100.. Find halves of decimals ending in an even digit e.g. 3.8 2, 0.76 2. Add/subtract any pair of two digit numbers including crossing 100: derive Multiply or divide whole number by 10,000 or 1000. sums and difference e.g. 760 + 380. Find pairs of numbers with sum of 10; multiples of 50 with sum of 1000; Multiply mentally any two-digit number. decimals with a sum of 0.1, 1 or 10. Know some fractions as percentages/decimals. Find simple Count on/back in steps of 25, 0.2, 0.25, 0.5 percentages. Find a difference by counting on Numbers Find the difference between a positive and negative integer, or two negative integers, in the context such as temperature or a number line. Order a set of positive and negative integers. Explore the order of operations using brackets with simple numbers Division Money and real life problems Making decisions, checking results Fractions, decimals and percentages Revise short division Learn formal method of long division Consider different ways to deal with remainders: decimals fractions remainders Round up or down depending on context Divide amounts of money by a 2 digit number Use all 4 operations to solve word problems involving money or real life Check calculations by rounding or inverse operations Determine an appropriate degree of accuracy for answers Consolidate equivalent fractions, decimals, percentages Consolidate simplifying fractions Ratio and proportion Solve simple problems involving ratio and proportion Include : recipes, scale drawings, similar shapes Angles Recognise, estimate and order acute and obtuse angles. Use protractor to measure and draw acute/obtuse angles to 1 o. Constuct 2-d shapes accurately using given dimensions and angles Classify quadrilaterals and triangles using side/angle properties Calculate missing angles: on a straight line round a point vertically opposite in a triangle in quadrilaterals in regular pentagons and hexagons Algebra 3 Recognise and extend number sequences Make patterns with matchsticks to generate linear sequences Create a formula to describe any term of these sequences Circles Illustrate and name parts of the circle including radius, diameter and circumference Know the diameter is twice the radius
Measures Read, write and convert between standard units of measurements for length, mass, capacity and time using decimal notation up to 3 decimal places Revise approximate conversions between metric and imperial measures Read scales confidently Convert between miles and km Understand that conversion between units can be represented by a line graph and use such graphs Use all four operations to solve measurement word problems Algebra 4 Generate and solve linear equations ( not sure how complex) Properties of numbers and number sequences Reasoning about numbers Revise finding all factor pairs for a number and find common factors for 2 numbers Recognise multiples up to 12 x 12. Find sample common multiples. Recognise primes to at least 20. Find prime factors. Investigate products of odd/even numbers. Recognise and extend number sequences such as square, triangular numbers. Make general statements about them and give examples. Solve number puzzles and explain methods and reasoning. Volume Revise counting cubes to find volumes of cubes and cuboids using cm³ Introduce formula for volume of a cuboid using units of cm³ m³ mm³ etc
Year 6/Band 6 Summer Term Maths Curriculum Progression and Assessment Criteria EVERY DAY: Practise and develop oral and mental skills (e.g. counting, mental strategies, rapid recall of +, -, x and facts) Year 6 Read and write whole numbers in figures and words. Order positive and negative numbers; order fractions, mixed decimals. Recall squares to 12 x 12. Round whole numbers to nearest 10, 100 or 1000. Give pairs of factors for whole numbers to 100.. Find halves of decimals ending in an even digit e.g. 3.8 2, 0.76 2. Add/subtract any pair of 2-digit numbers, including crossing 100; derive Multiply or divide whole number by 10,000 or 1000. sums and differences such as 7.6±3.8, 760±380. Find decimals with a sum of 0.1, 1 or 10. Multiply mentally any two-digit number. Add several single digit numbers. Know some fractions as percentages/decimals. Find simple Count on/back in steps of 25, 0.2, 0.25, 0.5 percentages. Find pairs of numbers that satisfy equations with 2 unknowns eg x+y=10 Find a difference by counting on p-q=4 Money and real life problems Making decisions, checking results,. Use all four operations to solve word problems involving money or real life problems, including finding percentages and VAT. Choose appropriate operations/calculation methods. Explain working. Check using products of odd/even numbers or doing the inverse calculation, Fractions, decimals and percentages Consolidate previous work Revise finding fractions, decimals and percentages of amounts Handling data Extract information from a simple frequency table, and convert the data to percentages, using a calculator where appropriate. Interpret and construct a simple pie-chart, using fractions or percentages 3-d Shapes Name and identify common 3-d shapes Construct accurate nets for cubes and cuboids ( extend to harder shapes for high ability)