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Autumn 1 Time Year 7 Jan 2016 onwards Set 5 – 7 to cover all supplementary and core Set 3 – 4 to cover all supplementary and core, to move into enrichment as appropriate for the class Set 1 – 2 to cover core and enrichment and ensure fluency in supplementary (as starters) Supplementary: Revision (based on Core Enrichment KS2) Number bonds Convert units Money +/Measurement Spring 1 Autumn 2 Mental calculation strategies Multiplication facts Multiplication strategies Solve number problems Place Value (inc. decimals) and ordering Column Addition/Subtraction (inc. decimals) Estimation Rounding Negative Numbers Worded problems Generalisation Different counting systems/bases Upper/Lower Bounds Primes, factors, HCF, multiples, LCM Direct proportion using listing Alternative methods of Square, square root, cube, cube root multiplication Multiplication and division (inc. Logic puzzles decimals) Prime factor decomposition Convert between metric units Basic laws of indices Area of a rectangle and triangle Construct a tally chart Calculate the mean, median, mode and range from a list Worded Problems & the 4 basic operations Term 1 Test All to sit Core, Set 1 and 2 to also sit Extension (set 3/4 may also depending on coverage) Lengths and units Draw, measure and name angles Tessellating shapes Parallel and perpendicular Find unknown angles (straight line, Tangram investigation Angle facts at a point, vertically opposite and Plans/Elevations Division triangle) Nets Calculating the mean Naming 2D and 3D shapes Volume Properties of triangles and Construction quadrilaterals (inc. reflective and Basic enlargement rotational symmetry) Rotation, reflection and translation Worded Problems & the 4 basic operations Summer 2 Summer 1 Spring 2 What a fraction is Equal parts Factors and multiples Tenths and hundredths Fractional areas Equivalent fractions Terminating and recurring decimals Cancelling fractions Fractions of tangrams Compare and order +/- mixed numbers fractions/decimals +/- fractions with different Change mixed numbers to improper denominators (3 fractions) fractions and vice versa x/÷ mixed numbers Fraction of a quantity +/- fractions same denominator +/- fractions with different denominator (simple) x/÷ fractions (simple) Worded Problems & the 4 basic operations 7.6 and 7.7 to cover grey and revise areas of difficulty from term 1 Perimeter of polygons Generalisation Convert between metric units Different counting systems/bases Area of a rectangle and triangle Upper/Lower Bounds Construct a tally chart Direct proportion Calculate the mean, median, mode Alternative methods of and range from a list multiplication Worded Problems & the 4 basic Logic puzzles operations Prime factor decomposition 7.1 – 7.5 to cover black and revise Basic laws of indices areas of difficulty from Term 1 Term 2 Test All to sit Core, Set 1 and 2 to also sit Extension (set 3/4 may also depending on coverage) Areas of rectangles and triangles Order of operations Algebraic mean q’s Number patterns Substitution (inc. negatives) Solving more complex equations Algebraic notation Form algebraic expressions Factorise expressions Properties of triangles and Simplify algebraic notation Patterns and generalisation quadrilaterals Solve word problems with Nth term expressions Y=mx+c and plotting more difficult Sequences (not including nth term) explicit graphs (implicit graphs as a Expanding brackets further extension) Solving one- and two- step equations Cartesian Coordinates Basic graphing using coordinate patterns Worded Problems & the 4 basic operations Decimals and problem solving Basic Probability Construct pie charts Fractions of shapes Group discrete data Comparing and converting between Equivalence Construct and interpret pictograms, representations Order of operations bar charts and line graphs Percentage increase and decrease Convert between fractions, decimals (not using multipliers) and percentages Percentage of quantities Calculate the percentage something changes by Find the whole when given the part and the percentage Spring 1 Autumn 2 Autumn 1 Time Year 8 Jan 2016 onwards Set 5 – 6 to cover all supplementary and core Set 3 – 4 to cover all supplementary and core, to move into enrichment as appropriate for the class Set 1 – 2 to cover core and enrichment and ensure fluency in supplementary (as starters) Supplementary: Revision (based on Core Enrichment Y7 Core) Angle types Angle facts Area of rectangles and triangles x/÷ powers of 10 Negative numbers Rounding Bar modelling with fractions x/÷ fractions Bar modelling with equations FDP equivalence Problem solving with fractions Order of operations Form algebraic expressions Substitution Order of operations Construct accurate triangles and quadrilaterals Find unknown angles (inc. in parallel lines) Conversion between metric length units Conversion between metric area units Area and perimeter of composite shapes Area of parallelograms and trapeziums Covert between FDP Percentage increase/decrease Finding 100% when given a part and the percentage Equivalent ratio Dividing a quantity into a ratio Simple direct proportion Distance-Time Graphs Compound measure: DST Construct angle and perpendicular bisectors (& loci) Angles in polygons Area and circumference of a circle Simple angle proofs Simple inverse proportion Graphs of direct/inverse proportion Compound measure: MDV Loan repayment Reverse percentage change Term 1 Test All to sit Core, Set 1 and 2 to also sit Extension (set 3/4 may also depending on coverage) Angle types Prime numbers and index notation +/- mixed numbers Angle facts Prime factorization to find HCF and x/÷ mixed numbers Find unknown angles (inc. in parallel LCM Egyptian fractions lines) Squares and cubes HCF/LCM generalisations Area of rectangles and triangles Venn diagrams Compound measure: MDV x/÷ powers of 10 +/- fractions with different Negative numbers denominators x/÷ fractions Distance-Time Graphs Compound measure: DST Finding 100% when given a part and the percentage Convert between FDP Spring 2 Summer 1 Summer 2 Equivalent ratio Dividing a quantity into a ratio Simple direct proportion Factors, multiples and primes Multiplication and division Negative numbers Solve more complex equations Inequality notation and statements Change the subject of a formula Formulate and evaluate expressions Draw graphs in the form y =mx+c, Solve linear equations (inc. unknown implicit graphs and quadratic graphs on both sides) Explore non-linear sequences Form expressions, formula and equations from real-world situations Expand brackets Factorise expressions Nth term of linear sequences Cartesian coordinates Draw graphs in the form y =mx+c Term 1 Test All to sit Core, Set 1 and 2 to also sit Extension (set 3/4 may also depending on coverage) Area of rectangles and triangles Rounding, significant figures and Volume of cylinder and composite +/- fractions estimation solids Problem solving with fractions Area and circumference of a circle Surface area of prisms Percentages of quantities Area and perimeter of composite Plans and Elevations Substitution with negatives shapes 3D coordinates Area of parallelograms and Euler’s Formula trapeziums Pythagoras’ Theorem Visualise and identify 3D shapes and their nets Volume of cuboid and prism Interpret statistical diagrams Types of data The 3 averages and range from a Mean, median, mode and range Collect and organise data frequency table Rounding and estimation Interpret and compare statistical Estimated mean from a grouped representations table Draw pie charts and scatter graphs Sampling methods The three averages and the range – Equal width histograms calculate and identify when it’s best Misleading stats to use Misleading graphs Two way tables Basic probability & relative frequency