# 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.

**Vocabulary / Language**

Measure, compare, add, subtract, morning, afternoon, more, less, digits, tens, ones, compare, order, recognise, find, write, share, 2D shapes, add, total, make, plus, more, altogether, subtract, less, take away, minus, estimate, mentally, difference between, difference, leave, sum, number bonds, length, volume, clock, noon, midnight, minutes, hours, o’clock, place value, hundred, number problem, half, quarter, whole, greater than, less than, orally, estimate, column method, inverse operation, solve problem, number facts, perimeter, metres, centimetres, millimetres, mass, kilograms, grams, volume, litres, millilitres, analogue, seconds, am, pm, Roman numerals. Interpret, data, present data, read data, bar charts, pictograms, tables, one step problems, multiples, thousands, numerals, equivalent, numerator, denominator, count up, count down, three quarters, tenths, groups of, multiply, times, multiple, multiplies by, lots of, repeated addition, divided by, divide, equal groups, approximate, statements, times table, orientations, describe, right angles, angles, acute, obtuse, horizontal, vertical, perpendicular, parallel.1/2 turn, ¼ turn, ¾ turn, degrees, positive integer, fifths, hundred thousands, ten thousands, am, pmcomplex.