# Year 5

# Curriculum Map

**Outcome**

- Number and place value
- Read and write numbers to at least 1,000,000
- Order and compare numbers to 1,000,000
- Determine the value of each digit to 1,000,000
- Count forwards and backwards in steps of powers of 10 for any given number up to 1,000,000
- Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10,000 or 100,000
- Solve number and practical problems that involve all of the above
- Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
- Read Roman numerals to 1000 and recognise years written in Roman numerals.

**Outcome**

- Addition and subtraction
- Add numbers with more than four digits using the formal method
- Subtract numbers with more than four digits using the formal method
- Add and subtract numbers mentally with increasingly large numbers
- Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
- Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

**Outcome**

- Multiplication and division
- Recall multiplication and division facts for tables up to 12×12
- Identify multiples and factors, including finding all factor pairs of a number and common factors of two numbers
- 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 and divide numbers mentally drawing upon known facts
- Multiply numbers up to 4 digits by one- or two-digit number using the formal written method of expanded column method
- Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

**Outcome**

- Fractions
- Compare and order fractions whose denominators are all multiples of the same number
- Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
- Recognise mixed numbers and improper fractions and convert from one for to the other
- Add and subtract fractions with the same denominator
- Add and subtract fractions with denominators that are multiples of the same number
- Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
- Read and write decimal numbers as fractions
- Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
- Round decimals with two decimal places to the nearest whole number and to one decimal place
- Read, write, order and compare numbers with up to 3 decimal places
- Recognise the percent symbol and understand that percent relates to ‘number of parts per hundred’
- Write percentage as a fraction with a denominator of 100 and as a decimal
- Solve problems which require knowing percent and decimal equivalence of ½, ¼, 1/5, 2/5, 4/5 and fractions with a denominator of a multiple of 10, 20 or 25

**Outcome**

- Measurement
- Convert between different units of measure (cm to m, km to m, hour to mins, l to ml)
- Understand and use approximate equivalence between metric units and common imperial units such as inches, pounds and pints
- Measure and calculate the perimeter of a composite rectilinear shapes in centimetres and metres
- Calculate and compare the area of rectangles including squares and including standard units, square centimetres and estimate the area of irregular shapes
- Estimate volume using 1cm3 blocks to build cuboids and estimate capacity
- Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days
- Use all four operations to solve problems involving measures using decimal notation, including scaling

**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

**Outcome**

- Measure angles in degrees
- Draw given angles in degrees
- Identify: angles at a point and in a whole turn/angles at a point on a straight line/other multiples of 90 degrees
- Use the properties of rectangles to deduce related facts and find missing lengths and angles
- Distinguish between regular and irregular polygons based on reasoning about equal sides and angles

**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**

- Addition and subtraction
- Add numbers with more than four digits using the formal method
- Subtract numbers with more than four digits using the formal method
- Add and subtract numbers mentally with increasingly large numbers

**Outcome**

- Multiplication and division
- Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
- Multiply and divide numbers mentally drawing upon known facts
- Multiply numbers up to 4 digits by one- or two-digit number using the formal written method of expanded column method
- Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context