Math Games

7.GS.1.1

Shape • Learners are able to: - make connections between nets and prisms and pyramids - define solid shapes by their properties using the terms edges, faces, vertices and prism - explain the properties of congruent shapes - identify a radius and diameter and use the relationship between them - identify a circumference

7.GS.1.2

Construction • Learners are able to: - construct circles using compasses - recognise and draw to scale on square paper nets of cubes and cuboids - draw triangles accurately given lengths and angles, using ruler and protractor

7.GS.1.3

Movement • Learners are able to: - know the symmetrical properties of regular and irregular shapes - rotate a shape on a grid - translate a shape using a description, e.g. 4 squares right and 2 squares down - describe a translation

7.DS.1.1

Collect and record data Present and analyse data Interpret results • Learners are able to: - collect own data for a survey, e.g. through designing a questionnaire - construct frequency tables for sets of data, grouped where appropriate, in equal class intervals (groups given to learners) - construct a wide range of graphs and diagrams to represent the data and reflect the importance of scale - interpret diagrams and graphs (including pie charts) - use mean, median, mode and range to compare two distributions (discrete data)

7.DS.1.2

Probability • Learners are able to: - recognise that impossible = 0 and certain = 1 and that the probability of an event will lie on a scale between 0 and 1 - express the probability of an event as a fraction or decimal percentage - give examples of events that have a probability of ½ - determine events with two outcomes that are/arenÂ’t equally likely - record all the outcomes of two events as an exhaustive list - estimate the number of successes of an event, e.g. flipping a coin ten times, how many heads would be expected?

7.AS.1.1

Number sequences • Learners are able to: - distinguish between a term to term rule and an nth term rule - explore number sequences - express nth term rules involving one and two steps in words and symbols

7.AS.1.2

Expressions and formulae • Learners are able to: - show that a + b = b + a and a - b is not equal to b - a - show that a x b = b x a and a /b is not equal to b/a - know that 4g x 2h = 8gh - know that b divided by 2 is notated as b/2 and 1/2 b - substitute positive whole numbers into one and two step expressions - simplify expressions involving the addition and subtraction of two or more variables

7.AS.1.3

Functions and graphs • Learners are able to: - express output generated from two (or more) step function machines, taking into account the order of operations using algebra - read, plot and write coordinates in all four quadrants

7.AS.1.4

Equations and inequalities • Learners are able to: - solve two step equations - express a set of numbers as a single inequality using < > ? ? - give solutions for inequalities < > ? ?, recognising that there are an infinite number of solutions

7.NS.1.1

Use number facts and relationships • Learners are able to: - read and write numbers of any size and use the four operations and the connections between them, e.g. apply division as the inverse of multiplication - recognise and apply key mental facts and strategies - use appropriate strategies for multiplication and division, including application of known facts - identify and use the lowest common multiple of two or more numbers - identify and use the highest common factor of two or more numbers - justify whether a number is a prime number or not - use the terms square and square root - express square numbers using powers - identify triangular numbers

7.NS.1.2

Fractions, decimals, percentages and ratio • Learners are able to: - use equivalence of fractions, decimals, percentages to compare proportions - recognise that some fractions are recurring decimals, e.g. 1/3 is 0.333 - calculate percentages of quantities using non-calculator methods where appropriate - use ratio and proportion including map scales - express two or more quantities as a ratio using the correct notation - simplify ratio - add and subtract fractions - convert between mixed numbers and improper fractions

7.NS.1.3

Calculate using mental and written methods • Learners are able to: - use efficient written methods to add and subtract numbers with up to 2 decimal places - multiply and divide 3-digit by 2-digit whole numbers, extending to multiplying and dividing decimals with 1 or 2 places by single-digit whole numbers - multiply and divide whole numbers by 0.5, 0.2, 0.1 - use the order of operations - add and subtract with negative numbers using mental methods

7.NS.1.4

Estimate and check • Learners are able to: - use a range of strategies to check calculations including the use of inverse operations, equivalent calculations and the rules of divisibility - use rounding to estimate answers - present answers to a given number of decimal places

7.NS.1.5

Manage money • Learners are able to: - use profit and loss in buying and selling calculations - understand the advantages and disadvantages of using bank accounts, including bank cards - make informed decisions relating to discounts and special offers

7.DNR.1.1

Identify processes and connections • Learners are able to: - transfer mathematical skills across the curriculum in a variety of contexts and everyday situations - select, trial and evaluate a variety of possible approaches and break complex problems into a series of tasks - prioritise and organise the relevant steps needed to complete the task or reach a solution - choose an appropriate mental or written strategy and know when it is appropriate to use a calculator - use a scientific calculator to carry out calculations effectively and efficiently using the available range of function keys - identify, measure or obtain required information to complete the task - identify what further information might be required and select what information is most appropriate - select appropriate mathematics and techniques to use - estimate and visualise size when measuring and use the correct units - develop and evaluate mathematical strategies and ideas creatively - consider connections between mathematical skills and contextualise these within extended tasks

7.DNR.1.2

Represent and communicate • Learners are able to: - explain results and procedures precisely using appropriate mathematical language - refine methods of recording calculations - use appropriate notation, symbols and units of measurement, including compound measures - select and construct appropriate charts, diagrams and graphs with suitable scales - interpret graphs that describe real-life situations, including those used in the media, recognising that some graphs may be misleading - evaluate different forms of recording and presenting information, taking account of the context and audience - generalise in words, and use algebra, to describe patterns that arise in numerical, spatial or practical situations

7.DNR.1.3

Review • Learners are able to: - select and apply appropriate checking strategies - interpret answers within the context of the problem and consider whether answers, including calculator, analogue and digital displays, are sensible - verify and justify results or solutions, including discussion on risk and chance where relevant - interpret mathematical information; draw inferences from graphs, diagrams and data, including discussion on limitations of data - draw conclusions from data and recognise that some conclusions may be misleading or uncertain - justify numerical and algebraic results, making appropriate connections - explain and justify strategies, methods, reasoning and conclusions in a variety of different ways, including orally, graphically, in writing (both in mathematical notation and without), and using appropriate digital literacy equipment - appreciate the difference between mathematical explanation and experimental evidence; recognise inconsistencies and bias

7.M.1.1

Length, weight/mass, capacity • Learners are able to: - find perimeters of shapes, with straight sides - make estimates of length, weight/mass and capacity based on familiar and less familiar objects - read and interpret scales on a range of measuring instruments - convert between units of the metric system and carry out calculations - understand that some measurements take particular values and others can take any value within a given range

7.M.1.2

Time • Learners are able to: - measure and record time in hundredths of a second - calculate start times, finish times and durations - convert between times expressed as a decimal or fraction and hours, minutes and seconds, e.g. 1.5, 1.25, 1.75 hours - use time zones

7.M.1.3

Temperature • Learners are able to: - record temperatures in appropriate temperature scales

7.M.1.4

Area and volume Angle and position • Learners are able to: - use formulae for the area of rectangles and triangles - devise and use formulae to calculate the area of parallelograms - calculate areas of compound shapes (e.g. consisting of rectangles and triangles) and volumes of simple solids (e.g. cubes and cuboids) - measure and draw angles - use knowledge of angle types to estimate angles - calculate angles on a straight line, around a point, vertically opposite and in triangles