Mathematics (Foundation)

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

Draw and Describe Rotations, Translations, Reflections and Enlargements, Understand and Identify Congruent and Similar Shapes

8. Equations, Inequalities and Sequences

Solve Simple Equations, Solve Equations with Brackets and an Unknown on Both Sides, Solve Inequalities, Recognise Sequences, Find an nth term of a Sequence

9. Probability

Probabilities of Events, Experimental Probabilities, Sample Space Diagrams, Venn Diagrams, Tree Diagrams

10. Ratio and Proportion

Write and Simplify Ratio, Share an Amount in a Ratio, Solve Problems involving Recipes and Currencies, Direct Proportion

11. Multiplicative Reasoning

Compound Measures, Convert Metric Speed Measures, Percentage Profit and Loss, Compound Interest, Direct and Inverse Proportion

12. Right-Angled Triangles

Pythagoras’ Theorem, Length of a Line Segment, SOH CAH TOA, Know values of sin, cos and tan

13. Quadratic Equations and Graphs

Expand Double Brackets, Factorise Quadratic Expressions, Solve Quadratic Equations by Factorising, Plot Quadratic Graphs

14. Constructions, Loci and Bearings

Construct Triangles, Plans and Elevations, Compass Constructions, Construct Loci and Shade Regions, Bearings

15. Perimeter, Area and Volume 2

Area and Circumference of Circles, Area and Perimeter of Parts of Circles including Sectors, Surface Area and Volume of Cylinders, Cones, Pyramids and Spheres

16. Averages

Types of Data, Calculate Mean, Median and Mode for Discrete Data, Advantages and Disadvantages of Averages, Averages from Frequency Tables and Grouped Data.

17. Graphs, Tables and Charts

Data Collection, Two-Way Tables, Draw and Interpret Pictograms, Bar Charts, Line Graphs and Histograms, Draw and Interpret Pie Charts, Draw and Use Scatter Graphs and Lines of Best Fit.

Topics 16 and 17 to be taught as a project


Objectives:

Delivery of final GCSE 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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18. More Fractions, Reciprocals, Standard Form, Zero and Negative Indices

Four Operations with Mixed Number Fractions, Index Laws, Standard Index Form.

19. Congruence, Similarity and Vectors

Congruent Triangles, Similar Triangles, Length and Area Scale Factors, Use Column Vectors 

20. Rearranging Equations, Graphs of Cubic and Reciprocal Functions and Simultaneous Equations

Change the Subject of a Formula, Algebraic Proof, Sketch Graphs of Cubic Functions and Reciprocal Functions, Write and Solve Simultaneous Equations

Guided revision of GCSE topics 1-6, including guided preparation for December PPE.

1. Number

2. Algebra

3. Graphs

4. Fractions and Percentages

5. Angles

6. Perimeter, Area and Volume 1

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Guided revision of GCSE topics 7-13, including guided preparation for February PPE.

1. Transformations

2. Equations, Inequalities and Sequences

3. Probability

4. Ratio and Proportion

5. Multiplicative Reasoning

6. Right-Angled Triangles

7. Quadratic Equations and Graphs

Guided revision of GCSE topics 14-20, including guided preparation for Summer Examination.

1. Constructions, Loci and Bearings

2. Perimeter, Area and Volume 2

3. Averages

4. Graphs, Tables and Charts

5. More Fractions, Reciprocals, Standard Form, Zero and Negative Indices

6. Congruence, Similarity and Vectors

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