Download Maths– curriculum information

 Maths – curriculum information
Year 7
Learning outcomes
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Place value, add and subtract
Multiply and divide
Geometry
Fractions
Algebra
Percentages & pie charts
Topics taught
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Place value (inc decimals)
Add and subtract (inc. decimals)
Estimation
Perimeter
Word problems
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Multiply and divide (inc. decimals)
Area of rectangle and triangle
Calculate the mean
Factors, HCF, primes
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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
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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
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Order of operations
Substitution
Simplifying algebraic expressions
Solve word problems with expressions
Sequences (term-to-term not nth term)
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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
Topics taught
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Number
Algebraic expressions
2D Geometry
Proportional reasoning
3D Geometry
Statistics
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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
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Negative numbers and inequality statements
Calculate and evaluate expressions with rational numbers
Algebraic manipulation
Linear equations
Expressions and equations from real-world situations
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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
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Convert between FDP
Percentage increase and decrease,
Ratio (equivalent, of a quantity) and rate.
Speed, distance, time
Multiply and divide fractions
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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
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Collective and organising data (exc. Questionnaires)
Construction and interpretation of graphs
Interpret and compare statistical representations using range and median
Year 9
Learning outcomes
Topics taught
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Graphs and proportion
Algebraic expressions
2D Geometry
Equations and Inequalities
3D Geometry
Statistics
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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
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Change the subject of a formula
Expansion
Facotrisation
Algebraic fractions
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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
Simultaneous equations
Pythagoras’ theorem
Surface area and volume of pyramids, cones and spheres
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Comparing two data sets
Stem and leaf diagrams
Mean of grouped data
Scatter graphs
Probability
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Year 10
Learning outcomes
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Probability
Number 1 – Calculations
Linear Algebra
Geometry 1 – Angles
Number 2 – Proportion
Quadratic Algebra
Topics taught
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Probability scale
Sample space diagrams and outcomes of events
1-p
Relative frequency and experimental probability, expectation
Tree diagrams
Conditional probability
Venn diagrams
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Significant figures and appropriate degree of accuracy
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Index laws
Standard index notation
Surds
Upper and lower bounds
Simple error intervals as inequality
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Rearranging formulae
Solving fraction equations
Simultaneous 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
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Angle rules
Interior and exterior angles
Circle theorem
Trigonometry
Know exact values of sin/cos/tan 0, 30, 45, 60, and sin/cos 90
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Thinking multiplicatively
Direct and inverse proportion
Density, pressure, resistance
Unitary ratios & method
Forward and reverse %
Repeated percentage change
Similar and congruent shapes
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Factorising and expanding)
Quadratic formula
Completing the square
Simultaneous equations
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
Topics taught
Year 11 lessons to be interpreted by individual teachers to ensure a revision
programme of all topics is covered alongside mastery scheme
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Statistics
Geometry
Algebra
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Data handling cycle and analysis
Interpreting charts
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Histograms
Frequency polygons
Cumulative frequency
Boxplots
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Transformations – comb & descriptions (fractional enlargements)
Constructions inc. loci
Bearings and map scales
Vectors (on f but not proofs)
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Solving inequalities
Plotting regions bounded by inequalities
Algebraic proof
Functions and inverse functions
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Area compound and 0.5absinC
Area sectors and segments
Volume
Surface area
Dimensions
Applying trig
Unit conversions
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