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Corbett Maths
Sparx Independent Learning

Year 7

Term 1
Unit 1 - Number 

Using the four operations (addition, subtraction, multiplication, division. 
Types of numbers (squares, cubes, roots, triangular).
Types of numbers (squares, cubes, roots, triangular).
Unit 2 - Perimeter, Area and 2D shapes
Classify common 2D shapes.
Calculating area and perimeter of common 2D shapes.
Understanding and apply notation for lines and angles.
Unit 3 - Scale Drawings and Measurements
Understanding time and time problems.
Using measures and converting between units of measure.
Understanding and using scale drawings.
Unit 4 - Angles, Lines and Shapes
Understanding and using angles in triangles and quadrilaterals.
Using a protractor.
Understanding angles in parallel lines and polygons.

Term 2
Unit 5 - Expressions, Functions and Formulae

Order of operations.
Expanding single and double bracket, factorising linear and quadratic expressions.
Understanding and applying algebraic conventions, substitution into formulae and expressions, solving equations.
Unit 6 - Factors and Powers 
Knowing and using factors and multiples and finding the HCF/LCM of 2/3 numbers.
Knowing prime numbers up to 100 and writing numbers in prime factor form (including index form).
Using index laws (multiplication and division).
Unit 7 - Probability
Describing probability using words, probability scale and fractions/decimals/percentages.
Understanding experimental probability.
Showing outcomes including listing and drawing sample space diagrams.
Unit 8 - Sequences and Graphs
Recognising and generating sequences including Fibonacci, linear, quadratic and geometric sequences.
Reading and plotting coordinates in four quadrants.
Plotting linear (and other) graphs using a table of values, the gradient and the y intercept and using the equation.

Term 3
Unit 9 - Fractions, Decimals and Percentages
Ordering and calculating with decimals.
Ordering, simplifying and calculating with fractions.
Understanding and calculating with percentages, including increasing and decreasing by a percentage (with/without calculator).
Unit 10 - Statistics
Collecting data.
Processing data including finding averages from a list or a table of values.
Presenting data including drawing and interpreting pictograms, bar charts, pie charts, scatter diagrams.

Year 8

Term 1
Unit 1 - Expressions and Equations

Algebraic manipulation including simplifying, expanding brackets and factorising expressions.
Solve equations from one-step to unknowns on both sides.
Solve basic simultaneous equations.
Unit 2 - Volume and 3D Shapes
Know the names and properties of 3D shapes.
Be able to draw plans, elevations and nets of 3D shapes.
Find the volume 3D shapes including prisms, cones and cylinders.
Unit 3 - Fractions, Decimals and Percentages
Convert between fractions, decimals and percentages.
Calculate with decimals.
Perform all four operations with fractions, including mixed numbers.
Perform multiple percentage calculations including percentage increase and reverse percentages.
Understand simple and compound interest.
Unit 4 - Understand Simple and Compound Interest
Understand the probability scale and know how to find simple probabilities.
Use and calculate probabilities from frequency trees.
Use and calculate probabilities from Venn diagrams.
Use and calculate probabilities from tree diagrams.

Term 2
Unit 5 - Ratio and Proportion

Understand ratio including sharing in a ratio and writing numbers in the form n:1.
Know the connections between ratio and fractions.
Use the unitary method to sole proportion problems.
Understand how to approach ‘best-buy’ problems.
Unit 6 - Constructions and Loci
Use mathematical equipment to accurately construct a variety of shapes.
Construct the locus of a point given rules.
Understand and solve problems using bearings.
Unit 7 - Real Life Graphs and Compound Measures
Plot and interpret graphs of real life situations.
Plot and interpret journeys on a graph.
Calculate with compound measures (including speed, distance and time, density mass and volume).

Term 3
Unit 8 - Indices, Standard Form and Surds

Simplify expressions using the Index Laws.
Write all numbers in standard form.
Calculate with numbers in standard form.
Recognise and simplify surds.
Unit 9 - Pythagoras, Trigonometry and Congruence
Understand congruence and similarity.
Deduce, understand and use Pythagoras’ Theorem.
Use trigonometry to calculate missing sides.
Use trigonometry to calculate missing angles.
Unit 10 - Transformations
Identify symmetry (line and rotational).
Reflect a shape in a given mirror line.
Translate a shape given a vector.
Rotate a shape given a centre of rotation.
Enlarge a shape by a scale factor.

Year  9 Foundation

Term 1
Unit 1 - Number

Add, subtract, multiply and divide positive and negative numbers using written methods.
Express a number as the product of its prime factors, written in index form.
Find the HCF and LCM of two numbers.
Find factors, multiples and primes and understand terminology.
Unit 2 - Angles
Identify special types of triangles and calculate missing angles.
Use the side/angle properties of isosceles and equilateral triangles.
Use angles on a straight line, at a point and vertically opposite angles to find unknown angles, giving reasons for calculations.
Unit 3 - Collecting and Recording Data
Understand how to take a fair sample and how sample sizes may affect reliability.  Understand bias.
Design and interpret 2 way tables.
Unit 4 - Algebra 1
Expand brackets.
Factorise expressions into a single bracket.
Factorise expressions where there is more than one factor to take out.
Unit 5 - Decimals and Rounding
Calculations with decimals.
Rounding decimals.
Using decimals to estimate.

Term 2
Unit 6 - 2D Shapes
Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS).
Make accurate drawings of triangles, quadrilaterals and parallel lines.
Draw accurately circles with a given radius or diameter.
Unit 7 - Angles 2
Work out the sum of interior angles in a polygon (regular and irregular).
Know that the sum of exterior angles is 360 degrees.
Use facts about interior and exterior angles in polygons to solve problems.
Unit 8 - Fractions
Multiply and divide fractions including mixed numbers (+/-).
Find fractions of quantities.
Add and subtract fractions including mixed numbers (+/-).
Unit 9 - Algebra 2
Write numbers using index notation. 
Work out the values of expressions given in index notation (Fractional, negative and 0 are not assessed at Foundation).
Use rules of indices to simplify expressions.
Unit 10 - Using a Calculator
Work out powers and roots using the functions on a scientific calculator, including fractional powers.
Know not to round during the intermediate steps of a calculation.
Use a calculator to work out complex calculations.

Term 3
Unit 11 - Measure
Convert between metric units of measure.
Solve problems involving speed, distance and time.
Solve problems involving density, mass and volume.
Unit 12 - Processing Representing and Interpreting Data
Draw pie charts to represent information.
Use pie charts to find the frequency for each category and the total population studied.
Understand that the frequency represented by corresponding sectors in two pie charts is dependent upon the total populations represented by each of the pie charts.
Unit 13 - Sequences
Find the nth term of a sequence and use it to find any term in the sequence.
Use the nth term to decide whether a number belongs to a sequence.
Unit 14 - Perimeter and Area of 2D Shapes
Find the area of a trapezium.
Find the area of compound shapes.

Year 9 Higher

Term 1
Unit 1 - Number 

Product of prime factors.
Negative and fractional Indices.
Unit 2 - Sequences
Nth term (Quadratic).
Nth term (Geometric).
Fibonacci type sequences.
Unit 3 - Fractions
Add/subtract fractions.
Multiply/divide fractions.
Understand reciprocals.
Unit 4 - Decimals and Estimation
Round to d.p. or sig. fig.
Recurring decimals.
Error intervals.
Unit 5 - Angles and Polygons
Angles in parallel lines.
Interior/exterior angles in polygons.

Term 2
Unit 6 - Collecting and Recording Data

Understand sampling (stratified).
Understand bias.
Product rule for combinations
Unit 7 - Measure
Convert between units of area and volume.
Converting compound units.
Unit 8 - Congruence, Symmetry and Similarity
Proof of congruent triangles.
Similar shapes.
Area and volume of similar shapes.
Unit 9 - Expanding Brackets and Factorising
Factorise linear expressions.
Factorise quadratic expressions.
Difference of two squares.
Unit 10 - Area and Volume 1
Area of compound shapes.
Plans and elevations.
Complex volume of prisms.

Term 3
Unit 11 - Averages and Range
Mean/median/mode from a frequency table.
Find the interquartile range.
Compare two distributions.
Unit 12 - Constructions and Loci
Construct angles accurately.
Construct perpendiculars and bisectors.
Understand and construct Loci.
Unit 13 - Linear Equations
Solve linear equations.
Derive an equation from a problem.
Solve equations based on diagrams.
Unit 14 - Percentages
Calculate percentage change.
Understand simple and compound interest.
Calculate the original amount.