Math Games

Use number facts and relationships
• Learners are able to:
- read and write numbers to 1 million and numbers to 3 decimal places
- use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems
- multiply numbers and decimals by a multiple of 10, e.g. 15 x 30, 1.4cm x 20
- identify multiples of numbers up to 10; use the terms multiple and factor
- identify common multiples of two numbers
- identify common factors of two numbers
- identify prime numbers
- know prime numbers below 20

Fractions, decimals, percentages and ratio
• Learners are able to:
- use understanding of simple fraction, decimal and percentage equivalences, e.g. find 25% of 60cm and know that this is equivalent to ¼ of 60cm
- calculate percentage quantities based on 10%, e.g. 20%, 5%, 15%
- use simple ratio and proportion
- use ratio to express two or more quantities in words
- state the proportion of a whole that each share represents, e.g. recognise that in a ratio of 1:3, 1 part represents a quarter of the total
- find equivalent fractions and use these to add and subtract fractions
- simplify fractions

Calculate using mental and written methods
• Learners are able to:
- add and subtract numbers using whole numbers and decimals
- multiply 2- and 3-digit numbers by a 2-digit number
- divide 3-digit numbers by a 2-digit number
- add or subtract across zero using a number line, e.g. -3 + 5, 4 - 6

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

Manage money
• Learners are able to:
- use the terms profit and loss in buying and selling activities and make calculations for this
- understand the advantages and disadvantages of using bank accounts
- make comparisons between prices and understand which is best value for money

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

Number sequences
• Learners are able to:
- find the term to term rule for ascending and descending sequences, e.g. 3, 7, 11, 15 add 4
- generate a sequence given the first term and the term to term rule
- consider spatial patterns, e.g. square number

Expressions and formulae
• Learners are able to:
- explore general statements through practical activities, e.g. that a + a + a = 3a, 3 x a = 3a and a + a + a + b + b = 3a + 2b
- simplify expressions involving the addition of one variable, e.g. 5t + 3t = 8t

Functions and graphs
• Learners are able to:
- express output generated from one step function machines using algebra
- identify the coordinates of a missing point from a regular shape
- refer to the x axis and the y axis

Equations and inequalities
• Learners are able to:
- construct and solve one step equations with whole number solutions
- list numbers between two points using the terminology ‘less than or equal to’ and ‘greater than or equal to’

Length, weight/mass, capacity
• Learners are able to:
- read and interpret scales or divisions on a range of measuring instruments
- make estimates of length, weight/mass and capacity based on knowledge of the size of real-life objects, recognising the appropriateness of units in different contexts
- record measurements in different ways, e.g. 1.3kg = 1kg 300g
- use the language of imperial units in daily use, e.g. miles, pints

Time
• Learners are able to:
- use and interpret timetables and schedules to plan events and activities and make calculations as part of the planning process
- estimate how long a journey takes
- time events in minutes and seconds to the nearest tenth of a second
- convert between standard units of time
- estimate the length of time everyday activities take to complete with increasing accuracy

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 the area of squares and rectangles
- recognise reflex angles
- draw accurately and measure acute and obtuse angles in multiples of 5 degrees
- calculate a missing angle within a right angle, on a straight line or around a point
- use grid references to specify location

Shape
• Learners are able to:
- recognise tetrahedra and square based pyramids
- recognise and sketch different types of quadrilaterals
- explore the tessellation of different shapes
- identify a net of a cube

Construction
• Learners are able to:
- draw cubes and cuboids on isometric paper
- draw nets of cubes on square paper

Movement
• Learners are able to:
- find all the lines of symmetry for a given shape
- identify rotational symmetry of shapes
- identify symmetrical properties of regular polygons

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 numbers to describe the likelihood of an event, e.g. a one-in-six chance
- recognise that some events are equally likely
- identify the outcomes of simple events, e.g. flipping a coin, rolling a dice