Mathematics-Year 8 2016-17 Learning over the year Subject Contact Information Autumn Half Term 1: Number and the Number System Calculating Checking, Approximating and Estimating Head of Maths: Mr B Tanner Autumn Half Term 2 Visualising and Constructing Understanding Risk Spring Half Term 1 Calculating Space Measuring and Presenting Data Spring Half Term 2 Exploring and Calculating with Fractions , Decimals and Percentages Algebraic Proficiency 1 [email protected] Extra-Curricular Links Useful websites: www.mathswatchvle.com -maths videos to explain all topics. www.tannermaths.co.uk – lots of practice at the right levels. Equipment All students should have a calculator, pen, pencil, ruler, rubber and protractor every lesson. Enrichment links Summer Half Term 1 Algebraic Proficiency 2 Proportional Reasoning Students will have the opportunity to enter the Junior Maths Challenge. Summer Half Term 2 Investigating Angles Investigating Properties of Shapes Sequences There is also the possibility of attending board game club where students will learn strategy and logic skills by playing various games. Some have a direct mathematical link. Details of the content and skills to be studied in year 7 can be found on the separate Curriculum Knowledge Audit. Homework and assessment Homework will be set regularly and will generally be consolidation of key skills learnt in class by completing mathematical exercises. We would encourage students to check their work carefully for errors and if they are stuck to see their teacher before submission or use the videos on www.mathswatchvle.com for support There will be one assessment point each half term which will be a traditional test or an assessed piece of work such as an investigation or project. Curriculum Skills and Knowledge Audit – Year 8 Half Term Year 8 Expected On track for Grades 5-1 Mastery Skills Key Knowledge Year 8 Exceeding Expected On Track for Grade 9-4 Mastery Skills Key Knowledge Know the place value headings up to millions Recall primes to 19 HT1 Use positive integer powers and associated real roots Know the first 12 square numbers Apply the four operations with decimal numbers Know the first 12 triangular numbers Know the first 6 cube numbers Apply the four operations with negative numbers Convert numbers into standard form and vice versa Know how to write a number as a product of its prime factors Know how to round to significant figures Know the order of operations including powers Know how to enter negative numbers into a calculator Know the symbols =, ≠, <, >, ≤, ≥ Know the order of operations including brackets Know how to measure and write bearings Know that circumference = 2πr = πd HT2 Write a quantity as a fraction or percentage of another Know the meaning of faces, edges and vertices Check calculations using approximation, estimation or inverse operations Solve problems involving percentage change, including original value problems Apply the formulae for circumference and area of a circle Know that area of a circle = πr² Know that volume of prism = area of cross-section × length Know that probability is measured on a 0-1 scale Know that the sum of all probabilities for a single event is 1 HT3 Add, subtract, multiply and divide with fractions and mixed numbers Calculate surface area of cubes and cuboids Know how to calculate the range Know how to work out measures of central tendency Convert between terminating decimals and fractions Know that area of a rectangle = l × w Know percentage and decimal equivalents for fractions with a denominator of 3, 5, 8 and 10 Know to use the midpoints of groups to estimate the mean of a set of grouped data Know that area of a trapezium = ((a + b) ÷ 2) × h Know that volume of a cuboid = l × w × h HT4 Use multiplicative reasoning to interpret percentage change Plot and interpret graphs of linear functions Find a relevant multiplier when solving problems involving proportion Understand and use lines parallel to the axes, y = x and y = -x Substitute numbers into formulae HT5 Simplify and manipulate expressions by collecting like terms Apply the multiplication, division and power laws of indices Know basic algebraic notation Solve linear equations in one unknown HT6 Factorise an expression by taking out common factors Know that a0 = 1 Change the subject of a formula when two steps are required Simplify and manipulate expressions by multiplying a single term over a bracket Understand and use geometric notation for labelling angles, lengths, equal lengths and parallel lines Know the characteristic shape of a graph of a quadratic function Know the names of special triangles and quadrilaterals Calculate theoretical probabilities for single events Find and use the nth term for a linear sequence Know how to identify alternate angles Know how to identify corresponding angles Know how to find the angle sum of any polygon
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