# Year 6

# Curriculum Map

**Outcome**

- Number and place value
- Read and write numbers to 10,000,000
- Order and compare numbers to 10,000,000
- Determine the value of each digit to 10,000,000
- Round any number up to a required degree of accuracy
- Solve number and practical problems that involve all of the above
- Interpret negative numbers in context, and calculate intervals across zero

**Outcome**

- Addition, subtraction, multiplication and division
- Perform mental calculations, including with mixed operations and large numbers
- Add numbers with 6 digits or more using the formal method
- Subtract numbers with 6 digits or more using the formal method
- Solve addition and subtraction multi-step problems in context, deciding which operations and methods to use and why
- Recall multiplication and division facts for tables up to 12×12
- Identify common multiples and common factors
- Know and use the vocabulary of prime numbers, prime factors and composite numbers
- Establish weather a number up to 100 is prime and recall all numbers to 19
- Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
- Multiply numbers up to 4 digits by two-digit number using the formal written method of long multiplication
- Divide numbers up to 4 digits by a one-digit and two-digit numbers using the formal written method of short division and interpret remainders appropriately for the context
- Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division (chunking) and interpret remainders as whole number remainders, fractions or by rounding
- 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.

**Outcome**

- Fractions
- Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
- Compare and order fractions, including fractions greater than 1
- 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
- Multiply fractions and mixed numbers and fractions and whole numbers
- Divide proper fractions by whole numbers
- Associate fractions with division and calculate decimal fraction equivalents
- Identify the value of each digit in numbers given to three decimal places and multiply and divide decimal numbers by 10, 100 and 1000, giving answers up to three decimal places
- Multiply one-digit numbers with up to two decimal places by whole numbers.
- Use written methods in cases where the answer has up to two decimal places
- Solve problems which require answers to be rounded to specific degrees of accuracy
- Recall equivalences between simple fractions, decimals and percentages, including in different contexts
- Recognise the percent symbol (%) and understand that percent relates to number of parts per hundred
- Calculate a percentage of a whole number by finding 10% first and using multiplication to calculate
- Calculate percentage increase/decrease and use percentages for comparison

**Outcome**

- Algebra
- Create an expression
- Use simple formulae
- Generate and describe linear sequences
- Express missing number problem algebraically
- Find pairs of numbers that satisfy equations with two unknowns
- Enumerate possibilities of combinations of two variables

**Outcome**

- Ratio and Proportion
- Solve problems involving the relative sizes of two quantities where missing values can be found by integer multiplication and division facts
- Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
- Pupils solve problems involving unequal quantities, for example ‘for every egg you need three spoonfuls of flour’

**Outcome**

- Measurement
- Solve problems involving the calculation and conversion of units of measure, using decimal places where appropriate
- Use, read and write and convert between standard units, converting measurements of lengths, mass, volume and time from a smaller unit of measure to a larger unit and vice versa, using decimal notation up to three decimal places

**Outcome**

- Geometry
- Identify 3D shapes including cubes and other cuboids, from 2D representations
- Distinguish between regular and irregular polygons based on reasoning about equal sides and angles
- Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
- Solve problems involving similar shapes where the scale factor is known or can be found

**Outcome**

- Position and direction
- Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language and know that the shape has not changed

**Outcome**

- Statistics
- Solve comparison, sum and difference problems using information presented in a line graph
- Complete read and interpret information in tables including timetables

**Outcome**

- SATs revision based on needs of class/set

**Outcome**

- Theme park Maths