Maths curriculum information

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1 Maths curriculum information Year 7 Learning outcomes Place value, add and subtract Multiply and divide Geometry Fractions Algebra Percentages & pie charts Topics taught Place value (inc decimals) Add and subtract (inc. decimals) Estimation Perimeter Word problems Multiply and divide (inc. decimals) Area of rectangle and triangle Calculate the mean Factors, HCF, primes Draw, measure, and name acute and obtuse angles Find unknown angles (straight lines, at a point, vertically opposite) Properties of triangles and quadrilaterals Area of parallelograms Equivalent fractions Compare and order fractions and decimals Multiples and LCM Add and subtract fractions Change mixed numbers to improper fractions and v.v. Add & subtract mixed numbers Fraction of a quantity Order of operations Substitution Simplifying algebraic expressions Solve word problems with expressions Sequences (term-to-term not nth term)

2 Read and interpret pie charts Convert between percentages and fractions and decimals Percentages of a quantity Find the whole given the part and the percentage Solve proportion problems Year 8 Learning outcomes Number Algebraic expressions 2D Geometry Proportional reasoning 3D Geometry Topics taught Indices Primer factorisation to find LCM, HCF, squares, cubes Order of operations Rounding s.f. and estimation Multiply and divide fractions and mixed numbers Using a calculator Negative numbers and inequality statements Calculate and evaluate expressions with rational numbers Algebraic manipulation Linear equations Expressions and equations from real-world situations Accurate construction Find unknown angles (including parallel lines) Conversion between length units and between area units Area and perimeter of composite figures Area of trapeziums Area of circles Convert between FDP Percentage increase and decrease, Ratio (equivalent, of a quantity) and rate. Speed, distance, time Multiply and divide fractions Conversion between volume units Visualise and identify 3D shapes and their nets Circumference of a circle Surface area and volume of cuboid, prism, cylinder, composite solids Collective and organising data (exc. Questionnaires) Construction and interpretation of graphs Interpret and compare statistical representations using range and median Year 9

3 Learning outcomes Graphs and proportion Algebraic expressions 2D Geometry Equations and Inequalities 3D Geometry Topics taught Cartsian coordinates Linear graphs (inc interpreting gradient as rate of change) Direct and inverse proportion Calculating with scales Sequences and nth terms Relate ratios to linear functions Change the subject of a formula Expansion Facotrisation Algebraic fractions Construction and loci Triangles and quadrilaterals (angles and diagonals) Angles in polygons Congruence and similarity Transformations Equations and Inequalities Equations Inequalities Constructing equations and inequalities Quadratic equations Pythagoras theorem Surface area and volume of pyramids, cones and spheres Comparing two data sets Stem and leaf diagrams Mean of grouped data Scatter graphs Probability Year 10 Learning outcomes Probability Number 1 Calculations Linear Algebra Geometry 1 Angles Number 2 Proportion Quadratic Algebra Topics taught Probability scale Sample space diagrams and outcomes of events 1-p Relative frequency and experimental probability, expectation Tree diagrams Conditional probability Venn diagrams Significant figures and appropriate degree of accuracy

4 Index laws Standard index notation Surds Upper and lower bounds Simple error intervals as inequality Rearranging formulae Solving fraction equations Setting up (simultaneous) equations to solve word problems Linear sequences Graphing linear equations Transformations of graphs Quadratic sequences and Fibonacci Simple geometric progression inc. surds and other sequences Angle rules Interior and exterior angles Circle theorem Trigonometry Know exact values of sin/cos/tan 0, 30, 45, 60, and sin/cos 90 Thinking multiplicatively Direct and inverse proportion Density, pressure, resistance Unitary ratios & method Forward and reverse % Repeated percentage change Similar and congruent shapes Factorising and expanding) Quadratic formula Completing the square Setting up (simultaneous) equations to solve word problems Graphic quadratics, cubics, reciprocals and higher powers Plotting sine and cosine graphs Identify and interpret roots, intercepts and TPS of quadratic functions. Expand the product of more than 2 binomials Area under graphs and interpret Year 11 Learning outcomes Year 11 lessons to be interpreted by individual teachers to ensure a revision programme of all topics is covered alongside mastery scheme Geometry Algebra Topics taught Data handling cycle and analysis Interpreting charts

5 Histograms Frequency polygons Cumulative frequency Boxplots Transformations comb & descriptions (fractional enlargements) Constructions inc. loci Bearings and map scales Vectors (on f but not proofs) Solving inequalities Plotting regions bounded by inequalities Algebraic proof Functions and inverse functions Area compound and 0.5absinC Area sectors and segments Volume Surface area Dimensions Applying trig Unit conversions

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