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Calculations: Fractions, Decimals, Percentages

Unit Code: HD41CY015
Level: One
Credit Value: 3
Unit ID: BZS152
learndirect: HD4
Sector: 14.1
Last registration date: 31/07/2017
QCF Reference Number: M/504/2361
Lower age restriction: 16

This unit forms part of one or more QCF qualifications.

This unit is a member of one or more groups of related units.

Purpose and Aim:
To introduce the learner to calculations using decimal, fractions and percentages

Learning Outcomes Assessment Criteria
The learner will The learner can
1. Be able to find fractions of whole number quantities and measurements.
1.1 Find unit fractions (one part) by division.
1.2  Find non-unit fraction as multiple of unit fraction.
2. Be able to work out simple ratio and direct proportion.
2.1 Calculate quantities involved in mixtures using simple ratio as number of parts e.g. diluting liquids such as weed killer or paint.
2.2  Use direct proportion to scale quantities up or down e.g. recipes.
3. Be able to calculate using decimals.
3.1 Add and subtract decimals using efficient written methods.
3.2  Add and subtract decimals using a calculator.
3.3  Multiply decimal numbers by 10 and 100.
3.4  Multiply decimals by whole numbers using efficient written methods.
3.5  Multiply decimals by whole numbers using a calculator.
3.6  Find decimal fraction of whole number quantities and measurements by multiplication.
3.7  Divide decimals by whole numbers using efficient written methods.
3.8  Calculate and record financial transactions in context.
4. Be able to estimate answers to calculations, to check that answers are reasonable.
4.1 Estimate answers by rounding to nearest whole number to check answers are reasonable.
4.2  Round answers to an appropriate number of decimal places.
5. Be able to calculate simple percentage parts of quantities and measurements.
5.1 Calculate simple percentage parts of quantities and measurements.
6. Be able to find simple percentage increase and decrease.
6.1 Find percentage increase.
6.2  Find percentage decrease.
6.3  Apply percentage increase to simple everyday examples.
6.4  Apply percentage decrease to simple everyday examples.
7. Be able to use a calculator to calculate efficiently with fractions, decimals and percentages.
7.1 Change fractions to decimals by division on a calculator.
7.2  Calculate percentages using the % key on the calculator.
7.3  Use calculator to check answers to calculations done by other methods.
7.4  Use calculator to solve everyday problems involving fractions, decimals and percentage.

Assessment Methods:
There is no assessment information available for this unit. Assessments used should be fit for purpose for the unit and learners, and generate evidence of achievement for all the assessment criteria.

Further assessment guidance is available here.
Assessment Information:

3.1 Decimals up to 2 decimal places.
3.2 Decimals up to 2 decimal places.
3.4 Decimals up to 2 places, whole numbers with a minimum 2 digits.
3.5 Decimals up to 2 places, whole numbers with a minimum 2 digits.
3.6 Decimals up to 2 places.
3.7 Decimals up to 2 places, whole numbers with a minimum 2 digits.
3.8 E.g. total cost, budgeting, expenditure.
4.2 E.g. 48 divided by 7 = 6.9 to 1 decimal place.
6.3 E.g. wage increases, interest on savings, cost of credit.
6.4 E.g. sale price.

If not specifically stated in the assessment information, a plural statement in any assessment criterion means a minimum of two.
Essential Skills Wales:
  • N1.2: Carry out calculations
  • NE3.2: Carry out calculations
Other Mappings:
Core Curriculum - N2/L1.2, N1/L1.7, N2/L1.5, 1.6, N1/L1.9, N2/L1.9, N2/L1.10, N2/L1.11, MSS1/L1.1
Assessor Requirements:
There is no information regarding specific assessor requirements for this unit. Centres should select assessors who are trained in assessment, and who have subject specific competence to assess at this level.