Overview

Framework:
Access to HE 2024
Level:
Level 3
Unit No:
Not available
Credits:
3
Guided learning hours:
Not available

Qualification Grading Type

Graded

Unit Learning Outcomes

1.

Understand what an algebraic expression is.

Assessment Criteria

  • 1.1

    Using examples, explain the key components of algebraic expression.

    Key components include: Variables, Constants, Coefficients, terms, factors, Mathematical operations (e.g. addition, subtraction, multiplication, division and exponents), in monomial, binomial, trinomial and polynomial expressions.


2.

Be able to solve problems with algebraic expressions.

Assessment Criteria

  • 2.1

    Simplify an algebraic expression.

    Use distributive, associative and commutative algebraic properties and rules (combine like terms, factor out common terms, simplify fractions, simplify exponents) to reduce the expression to a more manageable and understandable form.

  • 2.2

    Expand a bracketed expression.

    Multiplying all the terms Inside a bracket with that outside a bracket or a set of other brackets, double and triple brackets, with other terms, including indices.

  • 2.3

    Re-arrange an algebraic expression.

    Change the subject of a formula, inequalities.

  • 2.4

    Solve a problem involving an algebraic fraction.

    Simplification, adding, subtracting, multiplying and dividing algebraic fractions, solving quadratic using factorisation.


3.

Be able to solve problems involving equations and inequalities.

Assessment Criteria

  • 3.1

    Solve an algebraic equation.

    Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.

  • 3.2

    Solve an inequality.

    Solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions. Express solutions through correct use of ‘and’ and ‘or’, or through set notation.

  • 3.3

    Solve problems involving polynomial equations.

    Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem.

  • 3.4

    Solve problems involving roots of a polynomial.

    Including roots.