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Attainment Targets

1.- Identify and describe transformations of the plane using matrices

2.- Solve and factorise quadratic equations and polynomials

3.- Recognise and use spatial relationships and properties in two and three dimensions to solve problems

4.- Recognise and use properties of vectors

5.- Solve linear programming problems

6.- Calculate areas under graphs

7.- Perform calculations with real numbers using properties

8.- Estimate, approximate and work to degrees of accuracy appropriate to the context

9.- Work independently in problem solving

• 
  revision of isometric transformations and enlargement
  
• 
  shear and one-way stretch: characteristics and invariants under these transformations
  
• 
  application to figures on a Cartesian diagram
  
• 
  use of the transformations and their combinations
  
• 
  identification and precise description of transformations using coordinates and matrices
  

• 
  solution of quadratic equations by factorisation
  
• 
  solution of quadratic equations by formula
  
• 
  expansion of products of algebraic expressions
  
• 
  factorisation of the following forms:
  

-common factor

-grouping

-difference of two squares

-perfect square

-quadratic equation

• 
  use factorisation where necessary
  
• 
  solve problems with quadratic equations
  

• 
  three-figure bearings
  
• 
  Pythagoras’s theorem
  
• 
  sine, cosine and tangent ratios for acute angles
  
• 
  sine and cosine rules
  
• 
  trigonometrical formula for area of triangle
  
• 
  solution of trigonometrical problems in two dimensions involving angles of elevation and depression, sine and cosine rules for any triangle.
  
• 
  solution of simple trigonometrical problems in three dimensions including angle between a line and a plane
  

• 
  addition of vectors; parallelogram rule
  
• 
  multiplication of a vector by a scalar
  
• 
  magnitude of a vector
  
• 
  use of the sum and difference of two vectors to express given vectors in terms of two coplanar vectors
  

• 
  simple linear inequalities
  
• 
  graphical representation of inequalities
  
• 
  linear programming problems
  
• 
  graphical representation and use of inequalities in the solution of simple linear programming problems
  

• 
  graphs in practical situations
  
• 
  distance-time and speed-time graphs
  
• 
  acceleration and deceleration
  
• 
  areas under graphs
  
• 
  analyse graphs in practical situations
  
• 
  calculation of distance travelled as area under a linear speed-time graph
  

• 
  revision, integration and questions from past papers (including all topics from the IGCSE syllabus 2008).
  

• 
  contribution to group discussion and participation in class
  
• 
  compliance with deadlines and quality of work
  
• 
  class-work, written and oral tests, research-work and projects
  
• 
  attitude towards work, his/her peers and teacher
  

• 
  Y10 Mathematics workbook. Produced by St. Gregory´s Mathematics department, 2005.
  
• 
  Pimentel Ric; Wall Terry. IGCSE Mathematics. London, John Murray (Publishers), 1997-reprinted 1999.
  
• 
  Rayner D. General Mathematics: Revision and Practice. Oxford, Oxford University press, 1988- reprinted 1996.
  

ATTAINMENT TARGETS

1. Achieve an adequate level of knowledge and understanding of the curricular contents.

2. 
   Use acquired knowledge to solve unfamiliar situations.
   
3. 
   Observe and measure precisely using different kinds of complex instruments.
   
4. 
   Collect data clearly and systematically using tables, charts and graphs.
   
5. 
   Draw consistent conclusions with the experimental evidence, using the acquired contents.
   
6. 
   Elaborate clear lab reports following an adequate layout.
   
7. 
   Analyse and handle different variables in a problem.
   
8. 
   Plan and carry out an experiment.
   
9. 
   Participate actively in the classroom and laboratory.
   
10. 
    Behave properly and safely in the classroom and laboratory.
    
11. 
    Keep complete and organised folder.
    
12. 
    Arrive punctually with all the necessary equipment.
    
13. 
    Work individually and in groups.
    
14. 
    Search, select and organise information from different sources.
    

CONTENTS

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