AS Level Mathematics

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AS Level Mathematics

This course covers the Pure Mathematics 1, Statistics 1 and Mechanics 1.  This is aimed at AS Level Mathematics which must be covered by the end of Year 12.

Assessment Objectives:

AO 1: Use and apply standard techniques.

Learners should be able to:

  • elect and correctly carry out routine procedures
  • accurately recall facts, terminology and definitions

AO 2: Reason, interpret and communicate mathematically

Learners should be able to:

  • construct rigorous mathematical arguments (including proofs)
  • make deductions and inferences
  • assess the validity of mathematical arguments
  • explain their reasoning
  • use mathematical language and notation correctly

AO3: Solve problems within mathematics and in other contexts

Learners should be able to:

  • translate problems in mathematical and non mathematical contexts into mathematical processes
  • interpret solutions to problems in their original context, and, where appropriate, evaluate their accuracy and limitations
  • translate situations in context into mathematical models
  • use mathematical models evaluate the outcomes of modelling in context, recognise the limitations of models and, where appropriate, explain how to refine them

Pure Mathematics 1
Statistics and Mechanics 1
Pure Mathematics 1

Written examination: 2 hours 62.5% of the qualification 100 marks

Algebraic Expressions ; Quadratics ; Equations and Inequalities ; Graphs and Transformations ; Straight Line Graphs ; Circles ; Algebraic Methods ; The Binomial Expansion ; Trigonometry Ratios ; Trigonometric Identities and Equations ; Vectors ; Differentiation ; Integration ; Exponentials and Logarithms

Statistics and Mechanics 1

Written examination: 1 hour 15 minutes 37.5% of the qualification 60 marks

STATISTICS – Data Collection ; Measures of Location and Spread ; Representations of Data ; Data ; Correlation ; Probability ; Statistical Distributions ; Hypothesis Testing

MECHANICSModelling in Mechanics ; Constant Acceleration ; Forces and Motion ; Variable and Motion ; Variable Acceleration

Course Content

1 Algebraic Expressions
2 Quadratics
3 Equations and Inequalities
4 Graphs and Transformations
5 Straight Line Graphs
6 Circles
7 Algebraic Methods
8 The Binomial Expansion
9 Trigonometric Ratios
10 Trigonometric Identities and Equations
11 Vectors
12 Differentiation
13 Integration
14 Exponentials and Logarithms
1 Data Collection
2 Measures of Location and Spread
3 Representations of Data
4 Correlation
5 Probability
6 Statistical Distribution
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