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Further Maths

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Further Maths Curriculum Overview

Term 1 - September to December
Year 10
Half term 1
Unit 1 - Linear Equations
  1. Substitution involving Fractions & Decimals
  2. Equations involving Fractions & Decimals
  3. Equations involving Indices & Decimals
  4. Equations & Graphs
  5. Functions & Graphs
  6. Simultaneous Equations 1
  7. Simultaneous Equations 2
  8. Simultaneous Equations Graphically
  9. Simultaneous Equations with 3 variables 1
  10. Simultaneous Equations with 3 variables 2
Unit 2 - Expanding & Products
  1. Expanding Problems
  2. Triple Brackets
  3. Expansion & Identities
  4. Surds & Brackets
  5. Combinations & Permutations 1
  6. Combinations & Permutations 2
  7. Binomial Expansion 1
  8. Binomial Expansion 2
  9. Rearrangement with Factorising
  10. Rearrangement with Fractions
Half term 2
Unit 3 – Coordinate Geometry
  1. Midpoint, Ratio & Segments
  2. Pythagoras & Length of a line
  3. Y = mx+c recap
  4. Sketching Graphs / Y = mx+c
  5. Sketching Graphs L2
  6. Equation of a line from 2 points
  7. Parallel Lines
  8. Perpendicular Lines 1
  9. Perpendicular Lines 2
  10. Coordinate Geometry problems
Unit 4 - Quadratics
  1. Factorising Quadratics
  2. Factorising Disguised Quadratics
  3. Quadratic Graphs
  4. Solving Quadratics 1
  5. Solving Quadratics 2
  6. Solving Quadratics 3
  7. Sketching & Solving Quadratics
  8. Quadratic Formula
  9. Simultaneous Equations with Quadratics 1
  10. Simultaneous Equations with Quadratics 2
  11. Simultaneous Equations with the Quadratic Formula
Year 11
Half term 1
Unit 12 – Equations of Circles
  1. Equation of a circle centre (0,0)
  2. Constructing Circles
  3. Simultaneous Equations with Circles
  4. Equation of a circle centre (a,b) 1
  5. Equation of a circle centre (a,b) 2
  6. Tangents to a circle 1
  7. Tangents to a circle 2
  8. Circle Theorems & Graphs
  9. Pythagoras & Circle Theorems
Unit 13 – Advanced Trigonometry
  1. Trig Graphs 1
  2. Trig Graphs 2
  3. Solving Using Trig Graphs
  4. Advanced Trig Problems 1
  5. Advanced Trig Problems 2
  6. Exact Trig Values Problems 1
  7. Exact Trig Values Problems 2
  8. Trig Equations 1
  9. Trig Equations 2
  10. Trig Identities 1
  11. Trig Identities 2
  12. Trig Identities
Half term 2
Unit 14 – Calculus 1
  1. Velocity Time Graphs Acceleration
  2. Velocity Time Graphs Distance
  3. Area under a curve
  4. Differentiation 1
  5. Differentiation 2
  6. Differentiation 3
  7. Equation of Tangents
  8. Equation of Normals
Exams, Revision & QLA teaching
Term 2 - January to April
Year 10
Half term 3
Unit 5 – Algebraic Fractions & Completing the Square
  1. Simplifying Algebraic fractions
  2. Solving Algebraic fractions 1
  3. Solving Algebraic fractions 2
  4. Solving Ratio problems 1
  5. Solving Ratio problems 2
  6. Solving Probability Trees 1
  7. Solving Probability Trees 2
  8. Completing the Square 1
  9. Completing the Square 2
  10. Completing the Square 3
  11. Sketching & Minimum points 1
  12. Sketching & Minimum points 2
  13. Modelling with Quadratics
Unit 6 – Inequalities & Regions
  1. Solving Inequalities involving negatives
  2. Solving Complex inequalities
  3. Combining Inequalities
  4. Regions 1
  5. Regions 2
  6. Quadratic Inequalities 1
  7. Quadratic Inequalities 2
  8. Quadratic Regions
  9. Linear Programming
Half term 4
Unit 7 – Indices & Surds
  1. Exponential Equations 1
  2. Exponential Equations 2
  3. Exponential Graphs
  4. Growth & Decay
  5. Harder Rationalising
  6. Surds with fractions
  7. Surd Problems 1
  8. Surd Problems 2
Unit 8 - Sequences
  1. Obscure Linear Nth term
  2. Quadratic Nth Term 1
  3. Quadratic Nth Term 2
  4. Geometric Progressions
  5. Graphs & Asymptotes
  6. Limits of Sequences 1
  7. Limits of Sequences 2
Year 11
Half term 3
Unit 15 – Advanced Graphs
  1. Transforming Trig Graphs
  2. Completing the Square & Link to Transforming Graphs
  3. Graph Translations 1
  4. Graph Translations 2
  5. Graph Reflections
  6. Graph Stretches
  7. Invariant Points
  8. Shape of Graphs 1
  9. Shape of Graphs 2
Unit 16 - Matrices
  1. Matrices Intro
  2. Multiplying Matrices 1
  3. Multiplying Matrices 2
  4. Equating Elements of Matrices
  5. Matrix Transformations 1
  6. Matrix Transformations 2
  7. The Identity Matrix 1
  8. The Identity Matrix 2
  9. Transformations of the Unit Square 1
  10. Transformations of the Unit Square 2
  11. Combining Matrix Transformations 1
  12. Combining Matrix Transformations 2
Half term 4
Unit 17 – Calculus 2
  1. Increasing & Decreasing Functions 1
  2. Increasing & Decreasing Functions 2
  3. The Second Derivative 1
  4. The Second Derivative 2
  5. Stationary Points
  6. Maximum & Minimum Points 1
  7. Maximum & Minimum Points 2
  8. Maxima & Minima Modelling 1
  9. Maxima & Minima Modelling 2
  10. Maxima & Minima Modelling 3
Exams, Revision & QLA teaching
Term 3 - April to July
Year 10
Half term 5
Unit 9 – Functions & Factor Theorem
  1. Composite Functions
  2. Solving Functions
  3. Domain & Range 1
  4. Domain & Range 2
  5. Piecewise Functions 1
  6. Piecewise Functions 2
  7. Factor Theorem 1
  8. Factor Theorem 2
  9. Sketching Cubics
  10. Solving Cubics
Unit 10 – Circle Theorems & Proof
  1. Algebraic Proof 1
  2. Algebraic Proof 2
  3. Geometric Proof Intro
  4. Proving Similarity
  5. Proving Congruence
  6. Circle Theorems Recap
  7. Circle Theorems Problems
  8. Circle Theorems with Algebra
  9. Proving Circle Theorems 1
  10. Proving Circle Theorems 2
Half term 6
Unit 11 – Pythagoras & Trigonometry
  1. Pythagoras & Graphs
  2. Pythagoras & Algebra
  3. 3D Pythagoras
  4. Trigonometry Recap
  5. 3D Trigonometry
  6. Using Pythagoras for Exact Trig Values
  7. Area of a Triangle
  8. Sine Rule
  9. Cosine Rule
  10. Proving Pythagoras Theorem
Exams, Revision & QLA teaching
Year 11
Half term 5
Exams, Revision & QLA teaching

To find out more about the curriculum Newhouse Academy delivers please contact Hannah Gregory-Harris on 01706 369436 or email gregory-harrish@newhouseacademy.co.uk

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