# Year 6 Mathematics

## Autumn

### Place Value

• Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit.

• Round any whole number to a required degree of accuracy.

• Use negative numbers in context, and calculate intervals across zero.

• Solve number and practical problems that involve all of the above.

### Addition, Subtraction, Multiplication and Division

• Solve addition and subtraction multi step problems in contexts, deciding which operations and methods to use and why.

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

• Divide numbers up to 4 digits by a 2 -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 2 -digit number using the formal written method of short division, interpreting remainders according to the context.

• Perform mental calculations, including with mixed operations and large numbers.

• Identify common factors, common multiples and prime numbers.

• Use their knowledge of the order of operations to carry out calculations involving the four operations.

• Solve problems involving addition, subtraction, multiplication and division.

• Use estimation to check answers to calculations and determine in the context of a problem, an appropriate degree of accuracy

### Number: Fractions

• Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.

• Compare and order fractions, including fractions > 1

• Generate and describe linear number sequences (with fractions)

• Add and subtract fractions with different denominations and mixed numbers, using the concept of equivalent fractions.

• Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example 1/4 x 1/2 = 1/8 ]

• Divide proper fractions by whole numbers [for example 1/3 ÷ 2 = 1/6 ]

• Associate a fraction with division and calculate decimal fraction equivalents [ for example, 0.375] for a simple fraction [for example 38 ]

• Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

### Geometry: Position and Direction

• Describe positions on the full coordinate grid (all four quadrants).

• Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

## Spring

### Number: Decimals

• Identify the value of each digit in numbers given to 3 decimal places and multiply numbers by 10, 100 and 1,000 giving answers up to 3 decimal places.

• Multiply one-digit numbers with up to 2 decimal places by whole numbers.

• Use written division methods in cases where the answer has up to 2 decimal places.

• Solve problems which require answers to be rounded to specified degrees of accuracy.

### Number: Percentages

• Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison.

• Recall and use equivalences between simple fractions, decimals and percentages including in different contexts.

### Number: 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.

### Measurement: Converting Units

• 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 3dp.

• Convert between miles and kilometres.

### Measurement: Perimeter, Area and Volume

• Recognise that shapes with the same areas 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 cm3 , m3 and extending to other units (mm3 , km3 )

### Ratio

• 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.

## Summer

### Geometry: Properties of Shape

• Draw 2-D 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 angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

### Statistics

• Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius.

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