Externally assessed by OCR
Unit Title:
Level:
Credit value:
Guided learning hours:
Unit reference number:
Calculation with whole numbers, ratio and direct
proportion
2
3
30
F/504/6088
Unit purpose and aim
On completion of this unit the learner will be able to add and subtract negative whole numbers and
multiply and divide positive whole numbers without a calculator. They will also be able to check
their answers. In addition learners will be able to calculate using ratio and direct proportion and be
able to solve problems expressed in word and algebraic form. This knowledge and understanding
can be applied in contexts such as ordering quantities of materials and checking and allocating
deliveries.
Learning Outcomes
The Learner will:
1 Be able to express positive
and negative numbers as
words and figures
Assessment Criteria
2
2.1 Use non-calculator
methods to add and
subtract whole numbers
when the answer is:
 negative
 positive
Be able to use noncalculator methods for
addition and subtraction
with positive and negative
whole numbers
The Learner can:
1.1 Convert positive and
negative numbers from
 words to digits
 digits to words
Additional Information
Maps to:
Adult Numeracy Core
Curriculum:
 N1/L2.1:Read, write, order
and compare in words and
figures positive and negative
numbers of any size in a
practical context.
Identify that adding numbers
that are negative results in an
answer that is a negative
Maps to:
Adult Numeracy Core
Curriculum:
 N1/L2.5:Solve problems with
and without a calculator
involving positive and
negative numbers
*Signposts to:
GCSE Maths criteria:
 Add, subtract, multiply and
divide any number
Functional Skills criteria:
 Carry out calculations with
numbers of any size in
© OCR 2012
1
Learning Outcomes
Assessment Criteria
3
3.1 Use non-calculator
methods to:
 multiply a four-digit
number by a two-digit
number
 divide a four-digit
number by two-digit
number
Be able to use noncalculator methods for
multiplication and division
with positive whole
numbers
Additional Information
practical contexts, to a given
number of decimal places.
*Maps to:
Adult Numeracy Core
Curriculum:
 N1/L2.2:Carry out
calculations with numbers of
any size using efficient
written and mental methods
*Signposts to:
4
Be able to check
calculations
4.1 Check calculations by:
 estimation
 considering the
reasonableness of the
answer
 using an inverse
operation
GCSE Maths criteria:
 Add, subtract, multiply and
divide any number
Functional Skills criteria:
 Carry out calculations with
numbers of any size in
practical contexts, to a given
number of decimal places.
*Maps to:
Adult Numeracy Core
Curriculum:
 N1/L2.2:Carry out
calculations with numbers of
any size using efficient
written and mental methods
 N1/L2.6:Use estimation to
find appropriate solutions to
problems and to check if
solutions are sensible
*Signposts to:
GCSE Maths criteria:
 Add, subtract, multiply and
divide any number
Functional Skills criteria:
 Carry out calculations with
numbers of any size in
practical contexts, to a given
number of decimal places
 Understand and use
equivalences between
fractions, decimals and
percentages.
5
Be able to calculate with
ratio
5.1 Divide a quantity into no
more than three parts using
a ratio
5.2 Calculate the total from a
given ratio and the size of
2
Scale drawing, recipes,
concrete mixtures, ratio
notation.
Ratios to be single-digit
(e.g. 2:3, 1:5:3 etc.)
© OCR 2012
Learning Outcomes
Assessment Criteria
one part
Additional Information
5.3 Use scale expressed as a
Include expressing ratios in
their simplest form m:n e.g.
1:20
ratio independent of units
*Maps to:
Adult Numeracy Core
Curriculum:
 N1/L2.3:Calculate ratio and
direct proportion
 MSS1/L2.10:Work out
dimensions from scale
drawings e.g. 1:20
*Signposts to:
GCSE Maths criteria:
 Understand and use direct
and indirect proportion
 Use ratio notation, including
reduction to its simplest
form and the various links to
fraction notation
 Divide a quantity in a given
ratio
 Use and interpret maps and
scale drawings
Functional Skills criteria:
 Understand, use and
calculate ratio and
proportion, including
problems involving scale.
6
Be able to calculate using
direct proportion
6.1 Use map/plan scales to find
real lengths and vice versa
6.2 Calculate quantities using a
multiplier
Whole number multipliers and
simple fractions such as ½, ¼,
¾
*Maps to:
Adult Numeracy Core
Curriculum:
 N1/L2.3:Calculate ratio and
direct proportion
 MSS1/L2.10:Work out
dimensions from scale
drawings e.g. 1:20
*Signposts to:
GCSE Maths criteria:
 Understand and use direct
and indirect proportion
© OCR 2012
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Learning Outcomes
Assessment Criteria
7
7.1 Translate problems from
Be able to solve one and
two-step problems
expressed in word and
algebraic form resulting in
whole number answers or
simple fraction form
word form to symbolic form
7.2 Apply arithmetic operations
to:
 one-step problems
 two-step problems
expressed in algebraic form
Additional Information
 Use and interpret maps and
scale drawings
 Interpret fractions, decimals
and percentages as
operators.
Functional Skills criteria:
 Understand, use and
calculate ratio and
proportion, including
problems involving scale.
Understand that words and
symbols in expressions and
formulae represent variable
quantities (numbers), not
things.
Simple algebraic/word
equations must include
working with single brackets
and also require the
interpretation of 2a as 2 x a
and
x
2
as x÷2
*Maps to:
Adult Numeracy Core
Curriculum:
 N1/L2.4:Evaluate
expressions and make
substitutions in given
formulae in words and
symbols to produce results
*Signposts to:
GCSE Maths criteria:
 Distinguish the different
roles played by letter
symbols in algebra, using
the correct notation
 Set up and solve simple
equations including
simultaneous equations in
two unknowns
Functional Skills criteria:
 Understand and use simple
formulae and equations
involving one or two-step
operations.
Assessment
Externally assessed by OCR set and marked tests, requiring short-answer responses.
4
© OCR 2012
Available as paper-based and on-screen assessment.
No calculator can be used for this unit.
*Mapping and Signposting Information
This unit covers elements of the Adult Numeracy Core Curriculum (ANCC). For ease of reference
we have indicated which parts of the unit map to elements of the ANCC.
Achievement of this unit will also support learners who wish to progress to other programmes of
learning and the Signposting information indicates areas within a Functional Skills
(English/mathematics) or GSCE (English/mathematics) programme of learning that a learner will
be able to more confidently progress towards after completion. This unit will not support
progression towards any parts of the GCSE or Functional Skills criteria that are in italics.
© OCR 2012
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