Math Games

8.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

8.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

8.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

8.M.1.1

Length, weight/mass, capacity • Learners are able to: - find circumferences of circles - use the common units of measure, convert between related units of the metric system and carry out calculations - use rough metric equivalents of imperial units in daily use - recognise measurements that are discrete and those that are continuous - interpret conversion graphs

8.M.1.2

Time • Learners are able to: - interpret fractions of a second appropriately - interpret time expressed as decimals and fractions and enter them appropriately on a calculator - use timetables and time zones to calculate travel time

8.M.1.3

Temperature • Learners are able to: - convert temperatures between appropriate temperature scales

8.M.1.4

Area and volume Angle and position • Learners are able to: - calculate areas of compound shapes (e.g. consisting of rectangles and triangles) and volumes of simple solids (e.g. cubes and cuboids) - find areas of circles - devise and use formulae to calculate the area of trapezia and kites - calculate volumes of prisms constructed from cuboids, e.g. within an L-shaped cross-section - explore angles on parallel lines - understand exterior angles of triangles - know and use the angle properties of quadrilaterals - find horizontal and vertical distances using coordinates - use bearings to describe the location of one object in relation to another - use compass bearings and grid references to specify location

8.NS.1.1

Use number facts and relationships • Learners are able to: - recognise and apply key mental facts and strategies - use known facts to derive others, e.g. use 7 x 6 to derive 0.7 x 6 - use the terms cube, cube root and reciprocal - express cube numbers using powers - express repeated multiplications as powers, e.g. 7 x 7 x 7 x 7 x 7 x 7 = 7?

8.NS.1.2

Fractions, decimals, percentages and ratio • Learners are able to: - use equivalence of fractions, decimals, and percentages to select the most appropriate for a calculation - simplify a calculation by using fractions in their simplest terms - express recurring decimals using correct notation - calculate a percentage, fraction, decimal of any quantity with a calculator where appropriate - calculate the outcome of a given percentage increase or decrease - express one quantity as a percentage of another - simplify ratios including those given in different units - use ratio and proportion to calculate quantities - add, subtract, multiply and divide fractions

8.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 - use efficient methods for multiplication and division of whole numbers and decimals, including decimals such as 0.6 or 0.06 - use the order of operations including brackets - multiply and divide with negative numbers using mental methods

8.NS.1.4

Estimate and check • Learners are able to: - use rounding to estimate answers to a given number of significant figures - present answers to a given number of significant figures

8.NS.1.5

Manage money • Learners are able to: - carry out calculations relating to VAT, saving and borrowing - appreciate the basic principles of budgeting, saving (including understanding compound interest) and borrowing - calculate using foreign money and exchange rates

8.AS.1.1

Number sequences • Learners are able to: - use algebra to express the nth term rule of a linear sequence - use the nth term rule to find particular terms - use the nth term rule to generate a sequence

8.AS.1.2

Expressions and formulae • Learners are able to: - know that a x a = a² - know that 2a x a = 2a² - substitute positive and negative whole numbers into one and two step expressions - simplify expressions involving the addition and subtraction of two or more variables, including those where one or more of the simplified variables is negative - expand a single bracket - rearrange formulae involving two variables

8.AS.1.3

Functions and graphs • Learners are able to: - express output generated from function machines, taking into account the order of operations - generate and plot points for linear functions

8.AS.1.4

Equations and inequalities • Learners are able to: - solve equations including those where the solution is a negative, a fraction or a decimal and those that include brackets () - give a set of solutions from an inequality with two boundaries and show them on a number line - express a set of numbers as an inequality - complete and interpret simple information and distance - time graphs, showing an understanding of gradients within the context of the question

8.GS.1.1

Shape • Learners are able to: - classify quadrilaterals - explore the tessellation of two shapes - recognise shapes that will or will not tessellate

8.GS.1.2

Construction • Learners are able to: - recognise and draw accurate nets of prisms - represent 3D shapes on isometric paper and draw plans and elevations of 3D shapes made out of cubes - construct triangles given three lengths, using a ruler and compasses - identify sets of lengths that cannot form a triangle

8.GS.1.3

Movement • Learners are able to: - explore symmetrical properties of 3D shapes; identify planes of symmetry - enlarge shapes on square paper where the scale factor is a positive whole number

8.DS.1.1

Collect and record data Present and analyse data Interpret results • Learners are able to: - plan how to collect data to test hypotheses - construct a wide range of graphs and diagrams to represent discrete and continuous data - construct frequency tables for sets of data in equal class intervals, selecting groups as appropriate - construct graphs to represent data including scatter diagrams to investigate correlation - interpret diagrams and graphs to compare sets of data - find the mean, median, mode and range from ungrouped frequency tables - use mean, median, mode and range to compare two distributions (continuous data)

8.DS.1.2

Probability • Learners are able to: - show that the sum of all probabilities = 1 - recognise that some outcomes cannot occur simultaneously, e.g. a coin cannot show heads and tails at the same time - know that events that have two outcomes are not necessarily equally likely - complete a sample space diagram and a two way table - estimate the number of successes of an event, e.g. rolling a fair dice 300 times, how many 3s would be expected?