TERM
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PROGRAMME OF STUDY
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ASSESSMENT TASKS
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AUTUMN
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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
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End of Term
Test 1
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SPRING
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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
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End of Term
Test 2
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SUMMER
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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
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End of Year
Test 3
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