Mathematics – Number

Overview

Framework:
Access to HE
Level:
Level 2
Unit No:
QU033837
Credits:
3
Guided learning hours:
Not available

Qualification Grading Type

Ungraded

Aim

The purpose of the unit is to develop students’ understanding of basic numerical operations and how to apply these to everyday situations where appropriate.

Grade Descriptors

  • Ungraded

Unit Learning Outcomes

1.

Understand and use basic operations with whole numbers, integers, fractions and decimals

Indicative content:

  • Learning Outcome 1

As per assessment criteria and in addition: 1.3 Examples could include the use of temperature and bank balances.

Assessment Criteria

  • 1.1

    Solve problems using basic operations of addition, subtraction, multiplication and division of whole numbers and decimals.

  • 1.2

    Use basic calculator functions correctly and understand the effect of operator precedence.

  • 1.3

    Use negative numbers in a familiar context.

  • 1.4

    Approximate to a given number of decimal places or significant figures.

  • 1.5

    Calculate a fraction of a quantity.

  • 1.6

    Solve simple problems using ratio, direct and indirect proportion.

2.

Understand percentages.

Assessment Criteria

  • 2.1

    Calculate the percentage of a quantity.

  • 2.2

    Convert between common fractions, decimals and percentages.

  • 2.3

    Calculate percentage change.

  • 2.4

    Calculate percentage discounts.

3.

Be able to perform financial calculations in everyday situations.

Indicative content:

  • Learning Outcome 3

As per assessment criteria and in addition:

3.1 tutors could offer a choice between various alternatives of a product.

3.2 good examples to cover could include household bills, shopping ensuring that students are adding VAT on not taking it off.

3.4 examples could include hire purchase and savings.

3.5 students could include the use of income tax, overtime on wages, national insurance contributions, pensions and commission.

Assessment Criteria

  • 3.1

    Work out the best value for money in a given circumstance.

  • 3.2

    Perform VAT calculations.

  • 3.3

    Calculate a council tax bill for a given property and members in the household.

  • 3.4

    Calculate simple and compound interest.

  • 3.5

    Perform calculations associated with wages and salaries.


4.

Understand metric and imperial systems of units.

Indicative content:

  • Learning Outcome 4

As per assessment criteria and in addition:

4.2 students should be able to calculate amounts to include metric to metric, imperial to imperial and metric to imperial using a conversion graph or factor.

Assessment Criteria

  • 4.1

    Use a wide range of metric and imperial units of length, capacity, weight and temperature.

  • 4.2

    Convert between units.

5.

Understand the basic rules for indices and numbers expressed in standard form.

Assessment Criteria

  • 5.1

    Perform calculations of form:

    am x an = am+n

    am÷an = am-n

    (am)n = amn

  • 5.2

    Perform simple calculations using standard form for numbers greater than10 and less than 1.