Year 6 Maths

It is our aim that all children in Year 6 meet the following expectations:

Number

• Read, write, order and compare numbers to 10,000,000
• Know the value of each digit in numbers up to 10,000,000.
• Round any whole number to a required degree of accuracy e.g. to the nearest 10, 20, 50.
• Use negative numbers in context, and calculate intervals across zero.
• Solve number and practical problems that involve all of the above.
• Identify common factors, common multiples and prime numbers.

Calculation

• Multiply multi-digit numbers up to 4 digits by a 2 digit number using the formal written method for long division.

• Divide numbers up to 4 digits by a 2 digit whole number using the formal written method for long division and interpret remainders as whole number remainders, fractions, or by rounding appropriate to context.
• Divide numbers up to 4 digits by 2 digit number using the formal method for short division interpreting remainders accordingly.
• 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.
• Solve multi step addition and subtraction problems in context – deciding which operation to use.
• Solve problems involving addition, subtraction, multiplication and division.

Fractions

• Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.
• Compare and order fractions, including fractions >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
• Associate a fraction with division and calculate decimal fraction equivalent e.g. 0.375 is equivalent to 3/8, 3 ÷8 = 0.375
• Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by, 10, 100 and 1,000 giving answers up to 3 decimal places.
• Multiply 1 digit numbers with up to 2 decimal places by a whole number.
• Use written division method in cases where the answer has up to 2decimal places.
• Solve problems which require answers to be rounded to specific degrees of accuracy.
• Recall and use equivalences between simple fractions, decimal and percentages, including in different contexts.

Ratio and Proportion

• Solve problems involving relative sizes of two quantities where missing values can be found by using integer multiplication and division facts – missing numbers, lengths, coordinates and angles.
• Solve problems involving the calculation of percentages – children can link percentages or 360° to calculating angles in pie charts.
• 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.

Algebra

• Use simple formulae
• Generate and describe linear number sequences.
• Express missing number problems algebraically.
• Find pairs of numbers that satisfy an equation with two unknowns.
• Enumerate possibilities of combinations of two variables e.g. number puzzles – what two numbers can add up to.

Measurement

• 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 smaller unit of measure to a larger and vice versa, using decimal notation up to three digits.
• Convert between miles and kilometres.
• 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 parallelograms and triangles.
•  Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres, cubic metres and extend to other units e.g. mm³ and km³.

Geometry

• Draw 2-d shapes using given dimensions and angles.
• Recognise, describe and build simple 3-d shapes, including      making nets.
• Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygons.
• Illustrate and name parts of circles, including radius, diameter and circumference and know 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.
• Describe position in all four quadrants.
• Draw and label axes, translate and reflect shapes around all four quadrants.

Statistics

• Interpret and construct pie charts and line graphs and use these to solve problems.
• Calculate and interpret the mean as an average.