 TERM PROGRAMME OF STUDY ASSESSMENT TASKS AUTUMN Unit 1 Pattern Sniffing –Recognise and use Fibonacci type sequences and quadratic sequences Calculate with roots and with integer indices Unit 2 Investigating Number Systems –Specify error intervals due to truncation or rounding using inequalities Apply and interpret limits of accuracy Unit 3 Solving Calculation Problems –Calculate exactly with multiples of π Translate simple situations or procedures into algebraic expressions or formulae Know the difference between an equation or an identity Unit 4 Exploring Shape –Know the formula for Pythagoras’ Theorem and apply it Conjecture and derive results about angles and sides in geometric figures using angle facts, congruence, similarity and properties of shapes and obtain simple proofs Unit 5 Generalising Arithmetic –Simplify and manipulate algebraic expressions (including those involving surds) by expanding products of two binomials and factorising quadratic expressions of the form x² + bx + c, including the difference of two squares Argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments Understand and use the concepts and vocabulary of identities End of Term Test 1 SPRING Unit 6 Reasoning with Measures –Calculate arc lengths, angles and areas of sectors Apply congruence and similarity to finding missing lengths in similar figures Unit 7 Discovering Equivalence –No new content securing Year 8 content Unit 8 Investigating Statistics –Interpret and construct tables, charts and diagrams, including tables and line graphs for time series data and know their appropriate use Draw estimated lines of best fit; make predictions Know correlation does not indicate causation Interpolate and extrapolate apparent trends whilst knowing the dangers of so doing Unit 9 Solving Number Problems –Solve two linear simultaneous equations algebraically Derive an equation (or pair of simultaneous equations), solve the equation(s) and interpret the solution(s) Find approximate solutions to simultaneous equations using a graph Solve quadratic equations by factorising Find approximate solutions to quadratic equations using a graph Solve linear inequalities in one variable; represent the solution set on a number line Unit 10 Reasoning with Fractions –Enumerate sets and combinations of sets systematically using tree diagrams Calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions Understand that with increasing sample size, empirical probability distributions will tend to theoretical ones End of Term Test 2 SUMMER Unit 11 Visualising Shape –Use the basic congruence criteria for triangles Identify and apply circle definitions and properties (tangent, arc, sector, segment) Construct plans and elevations of 3D shapes Unit 12 Exploring Change –Use the form y=mx+c, including to identify parallel lines Find the equation of a line through 2 given points, or through one point with a given gradient Identify and interpret roots, intercepts and turning points of quadratic graphs Deduce roots of quadratic functions algebraically Recognise, sketch and interpret graphs of simple cubic functions and the reciprocal function Unit 13 Proportional Reasoning –Solve problems involving direct and inverse proportion Understand that if x is inversely proportional to y, then x is directly proportional to 1/y Unit 14 Describing Position –No new content secure Year 8 content Unit 15 Measuring and Estimating –Use compound units such as density and pressure Change freely between compound units in numerical contexts Plot and interpret graphs (including reciprocal graphs) and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration Interpret the gradient of a straight line graph as a rate of change End of Year Test 3

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#### Year 9

In Year 9 students make choices as to the subjects they study in key stage 4 (Years 10 and 11). Therefore the skills, knowledge and understanding that is required is much closer to that of key stage 4, to help students consider if a subject is "for them"…

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