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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