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Skills available for Wales year 3 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.

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Curriculum for Wales: Progression step 2, Year 3 Curriculum for Wales: Progression step 2, Year 3
National Curriculum: Key Stage 2 Year 3 National Curriculum: Key Stage 2 Year 3

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1 Developing numerical reasoning

1.1 Identify processes and connections
- 1.1.1 transfer mathematical skills to a variety of contexts and everyday situations
- 1.1.2 identify the appropriate steps and information needed to complete the task or reach a solution
- 1.1.3 select appropriate mathematics and techniques to use
- 1.1.4 select and use suitable instruments and units of measurement
- 1.1.5 choose an appropriate mental or written strategy and know when it is appropriate to use a calculator
- 1.1.6 estimate and visualise size when measuring and use the correct units
  - Compare size, weight and capacity (3-Y.1)
1.2 Represent and communicate
- 1.2.1 explain results and procedures clearly using mathematical language
- 1.2.2 refine informal methods of recording written calculations, moving to formal methods of calculation when developmentally ready
- 1.2.3 use appropriate notation, symbols and units of measurement
- 1.2.4 select and construct appropriate charts, diagrams and graphs with suitable scales
- 1.2.5 recognise, and generalise in words, patterns that arise in numerical, spatial or practical situations
- 1.2.6 visualise and describe shapes, movements and transformations
1.3 Review
- 1.3.1 select from an increasing range of checking strategies to decide if answers are reasonable
- 1.3.2 interpret answers within the context of the problem and consider whether answers, including calculator, analogue and digital displays, are sensible
- 1.3.3 draw conclusions from data and recognise that some conclusions may be misleading or uncertain

2 Using number skills

2.1 Use number facts and relationships
- 2.1.1 read and write numbers to 1 000
- 2.1.2 compare and estimate with numbers up to 100
- 2.1.3 explain the value of a digit in numbers up to 1 000
- 2.1.4 use mental strategies to recall number facts within 20
- 2.1.5 recall 2, 3, 4, 5 and 10 multiplication tables and use to solve multiplication and division problems
- 2.1.6 multiply numbers by 10
  - Multiply by 10 (3-L.11)
- 2.1.7 identify multiples of 2, 3, 4, 5 and 10; use the term multiple
- 2.1.8 identify odd and even numbers up to 1 000
2.2 Fractions, decimals, percentages and ratio
- 2.2.1 use halves and quarters
  - Halves and quarters (3-CC.1)
- 2.2.2 halve 2-digit numbers in the context of number, money and measures
- 2.2.3 find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1/5 of 15
  - Fractions of a number - unit fractions (4-EE.1)
- 2.2.4 recognise a quarter as a half of a half
2.3 Calculate using mental and written methods
- 2.3.1 find differences within 100
- 2.3.2 use mental strategies to add and subtract 2-digit numbers
- 2.3.3 use partitioning to double and halve 2-digit numbers
- 2.3.4 define a negative number as being less than 0
2.4 Estimate and check
- 2.4.1 check subtraction using addition
  - Fact families (3-Q.4)
- 2.4.2 check halving using doubling
- 2.4.3 check multiplication using repeated addition
2.5 Manage money
- 2.5.1 use different combinations of money to pay for items up to £2 and calculate the change
- 2.5.2 order and compare items up to £10
  - Which picture shows more - up to £1 (3-V.13)
  - Which picture shows more - up to £5 (3-V.14)
- 2.5.3 record money spent and saved

3 Using measuring skills

3.1 Length, weight/mass, capacity
- 3.1.1 recognise that perimeter is the distance around a shape
  - Perimeter (3-BB.1)
- 3.1.2 use standard units to estimate and measure:
  - 3.1.2.a length: measure on a ruler to the nearest ½ cm
    - Measure using a centimetre ruler (3-Y.3)
  - 3.1.2.b weight/mass: use 5g, 10g and 100g weights
    - Which metric unit of mass is appropriate? (3-Y.7)
  - 3.1.2.c capacity: use litres and half litres; measure to the nearest 100ml
    - Which metric unit of volume is appropriate? (3-Y.9)
- 3.1.3 choose between metric units to measure a length
  - Which metric unit of length is appropriate? (3-Y.4)
3.2 Time
- 3.2.1 tell the time to the nearest 5 minutes on an analogue clock and calculate how long it is to the next hour
- 3.2.2 read hours and minutes on a 12-hour digital clock using am/pm conventions
  - Match analogue and digital clocks II (3-W.4)
  - A.M. or P.M. (3-W.8)
- 3.2.3 calculate start times, finish times and durations using hours, 30-minute intervals and 15-minute intervals
  - Elapsed time I (3-W.10)
  - Elapsed time II (3-W.11)
3.3 Temperature
- 3.3.1 take temperature readings using thermometers and interpret readings above and below 0°C
  - Read a thermometer (3-Y.2)
3.4 Area and volume Angle and position
- 3.4.1 find areas by counting squares
  - Area (3-BB.3)
  - Select figures with a given area (3-BB.5)
- 3.4.2 identify right angles
  - Angles: greater than, less than or equal to a right angle (3-Z.7)
- 3.4.3 recognise that two right angles make a half turn, and that four right angles make a full turn
  - Fractions of a turn (3-Z.6)
- 3.4.4 describe an angle as more or less than a right angle
  - Angles: greater than, less than or equal to a right angle (3-Z.7)
- 3.4.5 use the four compass points to describe directions

4 Using geometry skills

4.1 Shape
- 4.1.1 recognise and classify triangles, squares, rectangles, pentagons and hexagons, including irregular cases
  - Name polygons (3-Z.1)
  - Select two-dimensional shapes (3-Z.2)
- 4.1.2 identify congruent shapes
  - Identify congruent shapes (3-Z.11)
- 4.1.3 recognise 3D shapes, including prisms
4.2 Construction
- 4.2.1 draw lines to the nearest half centimetre
4.3 Movement
- 4.3.1 identify lines of symmetry in 2D shapes
  - Identify lines of symmetry (3-Z.12)
- 4.3.2 draw horizontal and vertical lines of symmetry
  - Identify lines of symmetry (3-Z.12)

5 Using algebra skills

5.1 Number sequences
- 5.1.1 explore sequences of whole numbers involving addition and subtraction, e.g. counting in 2s, 3s and 4s from different starting points
- 5.1.2 write the next two (or more) terms in sequences that involve addition or subtraction
5.3 Functions and graphs
- 5.3.1 use one and two step function machines to generate input and output involving addition and subtraction within 100; express, in words, the operations of function machines
5.4 Equations and inequalities
- 5.4.1 find an 'unknown' in one step equations and use this to derive other facts, e.g. 37 +?= 100 therefore 100 – 37 =?
- 5.4.2 list numbers that are 'greater than' or 'less than' another number
  - Comparing numbers up to 100 (3-B.1)
  - Comparing numbers up to 1,000 (3-B.2)
- 5.4.3 read statements about numbers expressed using an inequality sign, e.g. 6 > 4
  - Comparing numbers up to 100 (3-B.1)
  - Comparing numbers up to 1,000 (3-B.2)

6 Using data skills

6.1 Collect and record data Present and analyse data Interpret results
- 6.1.1 represent data using:
  - 6.1.1.a lists, tally charts, tables and diagrams
    - Create line plots (3-X.8)
  - 6.1.1.b bar charts and bar line graphs labelled in 2s, 5s and 10s
    - Which bar graph is correct? (3-X.4)
  - 6.1.1.c pictograms where one symbol represents more than one unit using a key
    - Create pictograms (3-X.11)
  - 6.1.1.d Venn and Carroll diagrams
    - Sort shapes into a Venn diagram (3-X.17)
- 6.1.2 extract and interpret information from charts, timetables, diagrams and graphs.

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Actions

1 Developing numerical reasoning

1.1 Identify processes and connections

1.1.1 transfer mathematical skills to a variety of contexts and everyday situations

1.1.2 identify the appropriate steps and information needed to complete the task or reach a solution

1.1.3 select appropriate mathematics and techniques to use

1.1.4 select and use suitable instruments and units of measurement

1.1.5 choose an appropriate mental or written strategy and know when it is appropriate to use a calculator

1.1.6 estimate and visualise size when measuring and use the correct units

1.2 Represent and communicate

1.2.1 explain results and procedures clearly using mathematical language

1.2.2 refine informal methods of recording written calculations, moving to formal methods of calculation when developmentally ready

1.2.3 use appropriate notation, symbols and units of measurement

1.2.4 select and construct appropriate charts, diagrams and graphs with suitable scales

1.2.5 recognise, and generalise in words, patterns that arise in numerical, spatial or practical situations

1.2.6 visualise and describe shapes, movements and transformations

1.3 Review

1.3.1 select from an increasing range of checking strategies to decide if answers are reasonable

1.3.2 interpret answers within the context of the problem and consider whether answers, including calculator, analogue and digital displays, are sensible

1.3.3 draw conclusions from data and recognise that some conclusions may be misleading or uncertain

2 Using number skills

2.1 Use number facts and relationships

2.1.1 read and write numbers to 1 000

2.1.2 compare and estimate with numbers up to 100

2.1.3 explain the value of a digit in numbers up to 1 000

2.1.4 use mental strategies to recall number facts within 20

2.1.5 recall 2, 3, 4, 5 and 10 multiplication tables and use to solve multiplication and division problems

2.1.6 multiply numbers by 10

2.1.7 identify multiples of 2, 3, 4, 5 and 10; use the term multiple

2.1.8 identify odd and even numbers up to 1 000

2.2 Fractions, decimals, percentages and ratio

2.2.1 use halves and quarters

2.2.2 halve 2-digit numbers in the context of number, money and measures

2.2.3 find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1/5 of 15

2.2.4 recognise a quarter as a half of a half

2.3 Calculate using mental and written methods

2.3.1 find differences within 100

2.3.2 use mental strategies to add and subtract 2-digit numbers

2.3.3 use partitioning to double and halve 2-digit numbers

2.3.4 define a negative number as being less than 0

2.4 Estimate and check

2.4.1 check subtraction using addition

2.4.2 check halving using doubling

2.4.3 check multiplication using repeated addition

2.5 Manage money

2.5.1 use different combinations of money to pay for items up to £2 and calculate the change

2.5.2 order and compare items up to £10

2.5.3 record money spent and saved

3 Using measuring skills

3.1 Length, weight/mass, capacity

3.1.1 recognise that perimeter is the distance around a shape

3.1.2 use standard units to estimate and measure:

3.1.2.a length: measure on a ruler to the nearest ½ cm

3.1.2.b weight/mass: use 5g, 10g and 100g weights

3.1.2.c capacity: use litres and half litres; measure to the nearest 100ml

3.1.3 choose between metric units to measure a length

3.2 Time

3.2.1 tell the time to the nearest 5 minutes on an analogue clock and calculate how long it is to the next hour

3.2.2 read hours and minutes on a 12-hour digital clock using am/pm conventions

3.2.3 calculate start times, finish times and durations using hours, 30-minute intervals and 15-minute intervals

3.3 Temperature

3.3.1 take temperature readings using thermometers and interpret readings above and below 0°C

3.4 Area and volume Angle and position

3.4.1 find areas by counting squares

3.4.2 identify right angles

3.4.3 recognise that two right angles make a half turn, and that four right angles make a full turn

3.4.4 describe an angle as more or less than a right angle

3.4.5 use the four compass points to describe directions

4 Using geometry skills

4.1 Shape

4.1.1 recognise and classify triangles, squares, rectangles, pentagons and hexagons, including irregular cases

4.1.2 identify congruent shapes

4.1.3 recognise 3D shapes, including prisms

4.2 Construction

4.2.1 draw lines to the nearest half centimetre

4.3 Movement

4.3.1 identify lines of symmetry in 2D shapes

4.3.2 draw horizontal and vertical lines of symmetry