Core Mathematics

This unit is expiring
The expiry date of this unit is 31/07/2026.

Overview

Framework:
Access to HE
Level:
Level 3
Unit No:
QU007816
Credits:
6
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 how to solve problems involving algebra and functions.

Assessment Criteria

  • 1.1
    Solve problems using the laws of indices and surds.
  • 1.2
    Solve problems involving quadratic functions and their graphs, and the discriminant of a quadratic function.
  • 1.3
    Solve quadratic equations by factorisation, use of the formula, and completing the square.
  • 1.4
    Solve simultaneous equations.
  • 1.5
    Solve linear and quadratic inequalities.
  • 1.6
    Solve problems by algebraic manipulation of polynomials.
  • 1.7
    Use graphs of functions to solve problems.
  • 1.8

    Know the effect of simple transformations on the graph of y=f(ax).

2

Understand how to solve problems using coordinate geometry in the (x,y) plane.

Assessment Criteria

  • 2.1
    Calculate the equation of a straight line.
  • 2.2
    Know the conditions for 2 straight lines to be parallel or perpendicular to each other.
3

Use algebraic sequences and series.

Assessment Criteria

  • 3.1
    Use sequences, including the use of the formula for the nth term.
  • 3.2
    Use arithmetic series, including use of Σ notation.
4

Understand how to solve problems using differentiation.

Assessment Criteria

  • 4.1
    Find the derivative of f(x) as the gradient of the tangent to the graph of y=f(x) at a point, and its interpretation as a rate of change.
  • 4.2
    Carry out differentiation of xn.

  • 4.3
    Apply differentiation to gradients, tangents and normals.
5

Understand how to solve problems using integration.

Assessment Criteria

  • 5.1
    Carry out indefinite integration as the reverse of differentiation.
  • 5.2
    Integrate xn.