Math Games

Use number facts and relationships
• Learners are able to:
- read and write numbers to 100 000
- compare numbers with 1 and 2 decimal places
- use mental strategies to recall multiplication tables for 2, 3, 4, 5, 6, 8 and 10 and use to solve division problems
- multiply and divide numbers and decimals by 10 and 100
- identify multiples of 2, 3, 4, 5, 6, 8 and 10; use the terms multiple and factor
- identify prime numbers as having only two factors; recognise that 1 is not a prime number
- identify prime numbers below 10

Fractions, decimals, percentages and ratio
• Learners are able to:
- use understanding of simple fraction and decimal equivalences when measuring and calculating, e.g. ½ = 0.5, 1/10 = 0.1
- calculate fractional quantities, e.g. 1/8 of 24 = 3, so 5/8 of 24 = 15
- use doubling and halving strategies when working with simple proportions
- share objects in a given ratio, e.g. red blocks and blue blocks in a ratio of 1:2
- recognise connections between fractions, e.g. one-tenth is half of one-fifth
- add and subtract fractions with the same denominator
- add fractions with the same denominator to make a whole

Calculate using mental and written methods
• Learners are able to:
- find differences between numbers with 1 decimal place
- add and subtract 3-digit numbers using an appropriate mental or written method
- multiply and divide 3-digit numbers by a single-digit number
- order negative and positive numbers, including decimals to 1 decimal place

Estimate and check
• Learners are able to:
- check answers using inverse operations
- estimate by rounding to the nearest 10, 100 or 1 000

Manage money
• Learners are able to:
- order and compare the cost of items up to £1 000
- add and subtract totals less than £100 using correct notation, e.g. £28.18 + £33.45
- plan and track money and savings by keeping accurate records
- realise that budgeting is important

Shape
• Learners are able to:
- recognise and classify triangles, using their own criteria
- identify congruent shapes and justify whether two or more shapes are congruent

Construction
• Learners are able to:
- draw and label lines accurately, e.g. AB
- draw squares, rectangles and right angled triangles accurately
- construct solids from given nets

Movement
• Learners are able to:
- draw the reflection of a shape in any line
- complete a partly drawn shape after rotation
- translate a shape on squared paper horizontally or vertically

Number sequences
• Learners are able to:
- recognise and state the difference in sequences that involve adding or subtracting
- write the next two (or more) terms in sequences
- show that a number is in the sequence and/or find the position number by continuing the sequence or otherwise

Functions and graphs
• Learners are able to:
- use multistep function machines to generate input and output using all four operations; express, in words, the operations of function machines
- read, plot and write coordinates in one quadrant, e.g. (2, 4)

Equations and inequalities
• Learners are able to:
- solve one step equations using letters to present ‘unknowns’ with integer solutions, e.g. 6 + a = 10 and b + b = 8
- use < > to describe whether a number is less than or greater than another, working with different types of numbers

Length, weight/mass, capacity
• Learners are able to:
- measure and calculate perimeters
- make estimates of length, weight/mass and capacity based on knowledge of the size of real-life objects
- use measuring instruments with 10 equal divisions between each major unit, and record using decimal notation, e.g. 4.2cm, 1.3kg
- make use of conversions, e.g. ¼ of a km = 250m
- recognise the appropriateness of units in different contexts

Time
• Learners are able to:
- read and use analogue and digital clocks
- time events in minutes and seconds, and order the results
- calculate start times, finish times and durations using hours and minutes
- carry out practical activities involving timed events and explain which unit of time is the most appropriate
- estimate the length of time everyday activities take to complete, extending to hours and quarters of hours

Temperature
• Learners are able to:
- measure and record temperatures involving positive and negative readings
- calculate temperature differences, including those involving temperature rise and fall across 0°C

Area and volume Angle and position
• Learners are able to:
- calculate, estimate and compare the area of squares and rectangles using standard units
- find volumes by counting and other practical methods
- recognise acute and obtuse angles
- draw and measure acute angles in multiples of 10 degrees
- use coordinates to specify location

Identify processes and connections
• Learners are able to:
- transfer mathematical skills to a variety of contexts and everyday situations
- identify the appropriate steps and information needed to complete the task or reach a solution
- select appropriate mathematics and techniques to use
- select and use suitable instruments and units of measurement
- choose an appropriate mental or written strategy and know when it is appropriate to use a calculator
- estimate and visualise size when measuring and use the correct units

Represent and communicate
• Learners are able to:
- explain results and procedures clearly using mathematical language
- refine informal methods of recording written calculations, moving to formal methods of calculation when developmentally ready
- use appropriate notation, symbols and units of measurement
- select and construct appropriate charts, diagrams and graphs with suitable scales
- recognise, and generalise in words, patterns that arise in numerical, spatial or practical situations
- visualise and describe shapes, movements and transformations

Review
• Learners are able to:
- select from an increasing range of checking strategies to decide if answers are reasonable
- interpret answers within the context of the problem and consider whether answers, including calculator, analogue and digital displays, are sensible
- draw conclusions from data and recognise that some conclusions may be misleading or uncertain

Collect and record data Present and analyse data Interpret results
• Learners are able to:
- represent data using:
• lists, tally charts, tables, diagrams and frequency tables
• bar charts, grouped data charts, line graphs and conversion graphs
- extract and interpret information from an increasing range of diagrams, timetables and graphs (including pie charts)
- use mean, median, mode and range to describe a data set

Probability
• Learners are able to:
- use the words ‘certain’ and ‘impossible’ to describe the likelihood of an event occurring
- recognise that some events are impossible and some events are certain
- recognise that some events are more likely than others
- use the words ‘likely’, ‘unlikely’ and ‘even chance’.