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Subject: Mathematics – Long Term Planner Year: 9 HT Fertile question Concept(s) Description Formative assessments Summative assessment Autumn 1 Is mathematics a universal language? Algebra: Cartesian coordinates A14,15-use & interpret coordinates in first & all quadrants. Doddle Progress & Assessment Base line test Doddle Progress & Assessment end of unit test Linear graphs A20- plot graphs of linear functions and recognise form of Y=MX+C. A21-Calculate gradient and intercept of linear graphs. Doddle Progress & Assessment Base line test Doddle Progress & Assessment end of unit test Doddle Progress & Assessment Base line test Doddle Progress & Assessment end of unit test Nth term sequences Autumn 2 Is a calculator better than a brain? Can a world survive without Algebra? Spring 1 Do all shapes occur naturally? A27-Find the Nth Term of a linear sequence. Ratio & Proportion: Direct & inverse proportion RP5- Solve problems involving direct & inverse proportion including graphs & algebraic fractions Number: Calculating with squares N32- use powers & associated roots, recognise powers of 2,3,4,&5 (Y8) NE3- Simplify SURD expressions involving squares A5- Simplify & manipulate algebraic expressions by taking out common factors. A6- Simplify and manipulate algebraic expressions by expanding products of two or more linear expressions Algebra: Expand & Factorise expressions Change the subject of a formula A13- rearrange a formula to change the subject Algebraic fractions. AE2- Simplify & factorise expressions involving algebraic fractions NE1- Calculate with fractional indices GM11 & 12- Draw 2D shapes form information given, use ruler & compass to draw triangles Geometry: Construction & loci Links to GCSE & A Level requirements Angles in polygons GM21- Use ruler & compass to construct angle, line bisectors & perpendicular lines. GM22- Find the locus of a point that move according to a simple rule. Congruence & Similarity GM19- Find unknown angles in regular polygons GM20- Derive & use the sum of interior angles in a triangle to deduce angles in any polygon What is the best shape? Spring 2 How does maths apply to real life? Algebra: Constructing equations GM10- Use basic congruence criteria for triangles (SSS,SAS,ASA,RHS) A10- Construct & solve linear equations Doddle Progress & Assessment Base line test Doddle Progress & Assessment end of unit test N25- Order & recognise negative numbers in context & as positions on a number line and use the symbols ˂ ≤≥> GM23- Understand and apply Pythagoras’ Theorem when solving right angles triangle problems Doddle Progress & Assessment Base line test Doddle Progress & Assessment end of unit test GM46- Calculate the surface area of prisms & cylinders GM48- Calculate the volume of prisms & cylinders S5- Compare distributions of ungrouped discrete or continuous data using MMMR. Doddle Progress & Assessment Base line test Doddle Progress & Assessment end of unit test Quadratic equations. Do all equations always have a solution? Simultaneous linear equations Number: Constructing Inequalities. Summer 1 How to work like an Egyptian Geometry: Pythagoras’ theorem Surface area & Volume of pyramids, cones & Spheres Summer 2 Is life fair? Is competition good for us? Statistics: Comparing two data sets A22- Recognise, sketch and produce graphs of quadratic functions. AE3- Sketch transformations of quadratic functions. AE4- deduce the nature& location of the turning point of a quadratic function. Stem & Leaf S8- Compare distributions of grouped discrete or continuous data using MMMR. Mean of grouped data Scatter diagrams S9- Complete, read and interpret information in tables and timetables S6- Estimate mean of grouped data Statistics: Probability S14-Describe simple mathematical relationships between 2 variables & illustrate using scatter diagrams S16- Draw estimated lines of best fit & make predictions including interpolate & extrapolate apparent trends. P1- Use the terms likely, equally likely, fair, unfair, certain when describing chance or likelihood. P2- Understand and use the probability scale from 0 to 1. P3- Find and justify probabilities based on equally likely outcomes in simple contexts. P4- Identify all the possible mutually exclusive outcomes of a single even P5- Understand that the probabilities of all possible outcomes sum to 1. P6- Interpret the results of an experiment using the language of probability and appreciate that random processes are unpredictable.