Mathematics (Higher)
Objectives: 
Year 
Year 10  
Term 
Autumn 
Spring 
Summer 

Time 
7 weeks 
7 weeks 
5 weeks 
6 weeks 
6 weeks 
7 weeks 

C &
E 
7. Transformations and Constructions Draw and Describe Rotations, Reflections, Translations and Enlargements, Draw Plans and Elevations, Use Scale Drawings and Maps, Draw and Measure Bearings, Construct Loci and Shade Regions 8. Equations and Inequalities Factorise Quadratic Expressions, Solve Quadratic Equations by Factorising, Completing the Square and using the Quadratic Formula, Solve Simultaneous Equations, Solve Inequalities 
9. Probability List Probabilities, Find Probabilities from Sample Space Diagrams, Venn Diagrams and Two Way Tables, Calculate Experimental Probabilities and Relative Frequency, Use Tree Diagrams, Calculate Conditional Probability from Tree Diagrams, Two Way Tables and Venn Diagrams 10. Multiplicative Reasoning Direct Proportion using the Unitary Method, Repeated Proportional Change using Multipliers, Compound Measures, Inverse Proportion 
11. Similarity and Congruence Prove Triangles are Congruent, Prove Shapes are Similar, including Triangles, Find Area and Volume Scale Factors 12. More Trigonometry Sketch and Use Graphs of Trigonometric Functions, Draw Transformations of Trigonometric Graphs, Use the Sine and Cosine Rule and the Area of a Triangle for NonRight Angled Triangles, Use Pythagoras and Trigonometry in 3 Dimensions 
13. Equations and Graphs Identifying Roots from Quadratic Graphs, Expand more than two Brackets, Sketch Cubic Graphs, Identify Intersections of Quadratic and Linear Graphs and Intersections of Circles and Linear Graphs, Solve Quadratic Inequalities and Use Set Notation 
14. Circle Theorems Prove and Use Circle Theorems concerning Angles, Radii, Tangents and Chords, Find the Equation of a Tangent to a Circle, Construct the Graph of a Circle 15. More Algebra Rationalising the Denominator, Simplify Algebraic Fractions, Change the Subject of a Formula, Algebraic Proofs, Using Function Notation 
16. Interpreting and Representing Data Calculate the Mean, Median and Mode from Discrete Data, Grouped Data and Continuous Data, Draw and Interpret Composite and Comparative Bar Charts, Pie Charts, Histograms, Line Graphs and Scatter Graphs 17. Further Statistics Sampling Methods, Draw Cumulative Frequency Graphs, Draw and Interpret Box Plots, Draw and Interpret Histograms with Unequal Class Intervals Topics 16 and 17 to be taught as a project 
Objectives: Delivery of final GCSE higher order content and guided revision of GCSE syllabus in preparation for PrePublic (Mock) and Public (Summer) Examinations. 
Year 
Year 11  
Term 
Autumn 
Spring 


Time 
7 weeks 
7 weeks 
1 
5 weeks 
6 weeks 
3 weeks 

C &
E 
8. Vectors and Geometric Proof. Vector and Column Notation, Parallel Vectors, Addition of Vectors, Magnitude of Vectors, Using Vectors to Solve Geometric Problems, Using Vectors in Geometric Proofs. 19. Direct and Indirect Proportion: Using Statements of Proportionality, Reciprocal and Exponential Graphs, Rates of Change in Graphs, Functions, Transformations of Graphs. Sketch Reciprocal and Exponential Graphs, Interpret Rates of Change Graphs, Estimate Area Under Graphs and Gradient of NonLinear Graphs, Sketch Transformations of Graphs, Write Statements of Proportionality and Solve Problems of Direct and Indirect Proportion 
Guided revision of GCSE topics 16, including guided preparation for December PPE. 1. Number 2. Algebra 3. Graphs 4. Fractions, Ratio and Percentages 5. Angles and Trigonometry 6. Area and Volume 
M
E 
Guided revision of GCSE topics 713, including guided preparation for February PPE. 1. Transformations and Constructions 2. Equations and Inequalities 3. Probability 4. Multiplicative Reasoning 5. Similarity and Congruence 6. More Trigonometry 7. Equations and Graphs 
Guided revision of GCSE topics 1419, including guided preparation for Summer Examination. 1. Circle Theorems 2. More Algebra 3. Interpreting and Representing Data 4. Further Statistics 5. Vectors and Geometric Proof 6. Direct and Indirect Proportion 
R
G 