Name: First Class learning
Address: 245 Hammersmith Road, London, W6 8PW, GB
Telephone: -
Price range: $$$$

England

Skills available for England year 5 maths curriculum

Objectives are in black and IXL maths skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

Showing alignments for:

Programme of Study: Key Stage 2, Year 5

Actions

Print curriculum

Number

Number and place value
- Read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit.
- Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000.
  - Input/output tables: add and subtract powers of ten (5-I.4)
- Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero.
- Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000.
  - Rounding: up to millions place (6-A.15)
- Solve number problems and practical problems that involve all of the above.
  - Place value word problems (5-A.6)
  - Rounding puzzles (5-A.15)
- Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.
  - Roman numerals (5-A.12)
Addition and subtraction
- Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction).
- 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.
  - Comparison word problems with addition and subtraction (5-I.8)
  - Multi-step addition and subtraction word problems (5-I.15)
Multiplication and division
- 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 (non-prime) numbers.
  - Prime and composite numbers: up to 10 (5-K.5)
- Establish whether a number up to 100 is prime and recall prime numbers up to 19.
  - Prime and composite numbers: up to 20 (5-K.6)
  - Prime and composite numbers: up to 100 (5-K.7)
- Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers.
- Multiply and divide numbers mentally drawing upon known facts.
  - Use one multiplication fact to complete another (5-F.4)
- 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.
- Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000.
- Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³).
  - Understand square and cube numbers (5-J.1)
  - Evaluate indices: squares and cubes (5-J.2)
- Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes.
  - Divisibility rules: word problems (5-K.2)
  - Square numbers (5-K.10)
- Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign.
- Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.
Fractions (including decimals and percentages)
- 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 form to the other and write mathematical statements > 1 as a mixed number [for example, ²/₅ + ⁴/₅ = ⁶/₅ = 1 ¹/₅].
  - Identify mixed numbers (5-Z.4)
  - Convert between improper fractions and mixed numbers (5-Z.24)
- Add and subtract fractions with the same denominator and 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 [for example, 0.71 = ⁷¹/₁₀₀].
- 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.
  - Round decimals to the nearest whole number or tenth (5-DD.13)
- Read, write, order and compare numbers with up to three decimal places.
- Solve problems involving numbers up to three decimal places.
- Recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred', and write percentages as a fraction with denominator 100, and as a decimal.
- Solve problems which require knowing percentage and decimal equivalents of ¹/₂, ¹/₄, ¹/₅, ²/₅, ⁴/₅ and those fractions with a denominator of a multiple of 10 or 25.

Measurement

Convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre).
Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints.
Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres.
- Perimeter of rectilinear shapes (5-Y.2)
Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes.
Estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water].
- Volume of cuboids made of unit cubes (5-Y.21)
- Volume of irregular figures made of unit cubes (5-Y.22)
Solve problems involving converting between units of time.
Use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling.

Geometry

Properties of shapes
- Identify 3-D shapes, including cubes and other cuboids, from 2-D representations.
- Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles.
  - Acute, right, obtuse and straight angles (5-V.1)
  - Estimate angle measurements (5-V.8)
- Draw given angles, and measure them in degrees (°).
- Identify:
  - angles at a point and one whole turn (total 360°)
    - Angles of 90, 180, 270 and 360 degrees (5-V.4)
  - angles at a point on a straight line and 1/2 a turn (total 180°)
    - Angles of 90, 180, 270 and 360 degrees (5-V.4)
  - other multiples of 90°
    - Angles of 90, 180, 270 and 360 degrees (5-V.4)
- Use the properties of rectangles to deduce related facts and find missing lengths and angles.
  - Create rectangles with a given area (5-Y.12)
  - Find the missing side length of a rectangle (5-Y.15)
- Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
  - Regular and irregular polygons (5-U.3)
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.
  - Translations (5-W.6)
  - Reflections (5-W.7)

Statistics

Solve comparison, sum and difference problems using information presented in a line graph.
- Interpret line graphs (5-O.3)
Complete, read and interpret information in tables, including timetables.

Maths Year 5