Mathematics (Higher)

Objectives:


Year

Year 10

Term

Autumn

Spring

Summer

Time

7 weeks

7 weeks

5 weeks

6 weeks

6 weeks

7 weeks

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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 Non-Right 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 Pre-Public (Mock) and Public (Summer) Examinations.


Year

Year 11

Term

Autumn

Spring

 

Time

7 weeks

7 weeks

1

5 weeks

6 weeks

3 weeks

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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 Non-Linear Graphs, Sketch Transformations of Graphs, Write Statements of Proportionality and Solve Problems of Direct and Indirect Proportion

Guided revision of GCSE topics 1-6, 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

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Guided revision of GCSE topics 7-13, 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 14-19, 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

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