Algebra and Trigonometry

Overview

Framework:
Access to HE
Level:
Level 3
Unit No:
Not available
Credits:
3
Guided learning hours:
Not available

Qualification Grading Type

Graded

Grade Descriptors

  • GD1-Understanding the subject
  • GD3-Application of skills
  • GD7-Quality

Unit Learning Outcomes

1

Understand algebraic expressions.

Assessment Criteria

  • 1.1

    Distinguish the different roles played by letters, knowing what letter symbols represent in equations, formulae and identities.

  • 1.2

    Manipulate algebraic expressions by taking out common factors and factorising quadratic expressions

    This may include the difference of two squares, reciprocal functions and cancelling common factors in rational expressions.

  • 1.3

    Set up and solve simple equations by using inverse operations or by transforming both sides in the same way.

  • 1.4

    Solve linear equations.

    This includes:

    a. equations in one unknown, with integer or fractional coefficients, in which the unknown appears on either side or on both sides of the equation

    b. equations that require prior simplification of brackets, including those that have negative signs occurring anywhere in the equation, and those with a negative solution

2

Understand trigonometric functions.

Assessment Criteria

  • 2.1

    Solve problems using Pythagoras' theorem.

  • 2.2
    Solve problems involving sine, cosine and tangent.
  • 2.3

    Solve problems involving angles of elevation or depression.

  • 2.4

    Solve problems involving 3D shapes.

  • 2.5

    Solve problems involving the sine rule.

  • 2.6

    Solve problems involving the cosine rule.

  • 2.7

    Solve problems involving circular functions.

3

Understand trigonometric identities and equations.

Assessment Criteria

  • 3.1

    Prove identities using basic identities.

  • 3.2

    Prove identities using complex identities.

  • 3.3

    Simplify an expression using trigonometric identities.

  • 3.4

    Solve a trigonometric equation.