Foundation Core Unit
Level 1 AQA Certificate in use of mathematics Core unit scheme of work
The content of this Foundation unit is based on the subject content of the FSMQs which are components of the AQA Certificate in Use of Mathematics qualification.
Suggested schemes of work are given below. These assume that you will also be covering the content of two Level 1 FSMQs (Money management, Using spatial techniques, Using data) either before or alongside that of this core unit. Select just one of the three work schemes according to which two Level 1 FSMQs you are also using. The work scheme describes the extra topics you will need to cover for your learners to be prepared for the core examination. Each of the three options recommends a total of 60 guided learning hours, including an allocation of time for revision; this should include some of the topics from the other two FSMQs you are using.
If your students are studying one or two of the equivalent FSMQs at Level 2 (that is Financial calculations, Shape and space and/or Data handling) you may be able to omit some sections. If your students are studying Level 2 Algebra and graphs you will be able to omit the algebra sections, but will need to include extra work depending on which other FSMQ you are using.
Note that the AQA assessment of this core unit is by examination only and you should disregard any references to Coursework Portfolio requirements in the assignments listed below which have not yet been updated. These have been included for possible use as classroom activities but will not form part of the AQA assessment of this core unit. Also note that the AMP activities were not written specifically for this core unit and may include some work beyond what is needed.
Work Scheme A
Use this scheme of work if your students are also studying Money management and Using data.
In this case, for the core unit you will need to cover the topic areas listed below which involve shape and space and algebra.
You should introduce the following and include them wherever possible during this part of the course:
 Use of geometrical terms: parallel, perpendicular, bisect, perpendicular bisector, midpoint, horizontal, vertical, line, line segment, regular, similar, congruent, polygon (pentagon, hexagon, octagon)
 Use of appropriate instruments (ruler, tape measure, protractor) to make measurements to appropriate levels of accuracy with appropriate units and correct notation
 Effective and efficient use of a calculator, including understanding how calculators use the rules of precedence in arithmetic
 Checking calculations using estimates, inverse operations and alternative methods.
Topic area 
Content 
Nuffield resource 
Measure lengths 
Use ruler and tape measure to measure objects using metric and imperial units (m, cm, mm, in, ft) · to the nearest whole unit
· to an appropriate level of accuracy Record dimensions in tables and in diagrams. Discuss accuracy of measurements and how it affects subsequent use. 
Measure it 
Paper sizes (AMP activity) 

Convert measurements 
Convert within and between metric and imperial systems: metric (mm, cm, m, km), imperial (inches, feet, yards, miles). Include the use of conversion factors. 
Convert lengths 
Convert it! 

Use protractor 
Measure angles in degrees.

Angles 
Calculate perimeters and areas of 2D shapes 
Use measurements of length, in both metric and imperial units, to calculate: · Perimeters · Circumference of circle = · Area of circle = · Area of rectangle = length x width · Area of triangle = ( ^{1}/_{2} base x perpendicular height) Using button on a calculator and giving correct units Include shapes involving combinations of rectangles and triangles. Use formulae for perimeters and areas expressed in words and symbols. 
Perimeter and area 
Circle matching cards 

Design a table (AMP activity) 
Topic area 
Content 
Nuffield resource 

Calculate surface area and volume of 3D shapes 
Find surface areas and volumes of cuboids and prisms (including triangular), using volume formula: · volume = area of crosssection length and giving values in correct units. 
Volume 

Solve problems 
Solve problems involving lengths and angles, deciding on the correct arithmetic to use (adding, subtracting, multiplying, dividing) Use similarity in terms of scale factors. 
Length problems 

How much will it cost? 

Recognise and classify plane shapes 
Shapes to include: · triangles including obtuseangled, acuteangled, equilateral, isosceles and rightangled, · quadrilaterals including rectangle, square, parallelogram, rhombus, trapezium and kite, · other polygons including pentagons, hexagons, octagons (understanding that regular polygons have equal sides and equal angles)

Name the shape 

What am I? 

Drawing shapes in Word 

Make your own shapes in Word 

Tessellations in Word 

Tessellation shapes 

Plot and interpret graphs of real data 
Plot accurate graphs of data pairs by hand and using either a graphic calculator or function plotting software, ensuring that the graphs are correctly scaled and labelled. Use coordinates in all 4 quadrants where appropriate. Fit straight lines by eye as an approximate fit when appropriate and discuss ideas of positive and negative correlation. Identify errors in data by inspection and graphical means. Discuss gradients and intercepts of graphs with the axes and where appropriate understand their physical significance. 
Road test 
Topic area 
Content 
Nuffield resource 
Proportional and linear graphs 
Use functions to find data pairs of the form (y = mx + c), including functions in terms of variables other than y and x. Use tables to display results. Look for patterns that data fitting proportional (y = mx), and linear (y = mx + c) models have. Consider the main features of proportional and linear graphs and their differences. Use graphs to find the values of functions and to solve linear equations. 
Linear graphs 
Hire a coach 

Graphs of functions in Excel 

Spreadsheet graphs 

Linear relationships 

Substitution into formulae 
Substitute data into formulae and functions using BIDMAS to find secondary data (including formulae with multiples and fractions of linear terms).
Use formulae to convert units Use substitution of values into a given expression for a model (y = mx + c, y = kx^{2 }+ c) to find unknown constants 
Formulae 
Nonlinear graphs 

Solve equations 
Form and solve exactly simple equations where there is only one unknown e.g. 2x = 1.5x + 4 

Revision 
Revise topics across the whole core content (including money and data topics). Try specimen and past papers. Discuss Data sheet – make up and try questions based on it. 

Work Scheme B
Use this scheme of work if your students are also studying Money management and Using spatial techniques.
In this case, for the core unit you will need to cover the topic areas listed below which involve data and algebra. Note that some of the data topics (such as statistical diagrams) are similar to those in the Money Management content. You may wish to extend the work done for Money Management to include these rather than studying them separately.
You should also introduce the following and include them wherever possible during this part of the course:
 Using tables to record results
 Using spreadsheets to carry out calculations and display results in tables and statistical charts and graphs
 Effective and efficient use of a calculator, including understanding how calculators use the rules of precedence in arithmetic.
 Checking calculations using estimates, inverse operations and alternative methods.
Topic area 
Content 
Nuffield resource 
Collecting and organising data 
Collect and record data using an appropriate degree of accuracy (include significant figures & decimal places). Include the use of tally charts. Organise data on paper and spreadsheets (compare different ways of doing this). 

Statistical measures 
Find sum, mean, mode, median and range of data with and without a calculator. (Include use of the calculator’s memory.) Use a spreadsheet to sort data and find the sum, mean, median, mode and range. Print out spreadsheet formulae. 
On average 
Coffee shop 

Draw and interpret statistical charts (8 hours) 
Revision of drawing pictograms, bar charts and pie charts (also included in 'Money management' allowing possible combination of work). Use words to describe what statistical diagrams indicate about the situations they represent. 
Safety on the roads 
Mineral water (assignment) 

Solar eclipse 

Election results 
Topic area 
Content 
Nuffield resource 
Compare datasets 
Use measures of location and range, together with statistical diagrams to come to conclusions about the data from which they have been derived. Include comparisons with other data of a similar nature. Discuss accuracy of data and how it affects its subsequent use. 
Acid rain 
Heights and weights (assignment) 

Body Mass Index (assignment) 

Computer survey (assignment) 

Football figures 

House prices 

Parttime work survey 

Outdoor gig 

Cemetery mathematics (AMP activity) 

Reaction times (AMP activity)


Topic area 
Content 
Nuffield resource 
Plot and interpret line graphs of real data 
Plot accurate graphs of data pairs by hand and using either a graphic calculator or function plotting software, ensuring that the graphs are correctly scaled and labelled. Use coordinates in all 4 quadrants where appropriate. Fit straight lines by eye as an approximate fit when appropriate and discuss ideas of positive and negative correlation. Identify errors in data by inspection and graphical means. Discuss gradients and intercepts of graphs with the axes and where appropriate understand their physical significance. 
Crushed calcium carbonate 
Interpreting curves 

Road test 

Melting and freezing points (assignment) 

Proportional and linear graphs 
Use functions to find data pairs of the form y = mx + c, including functions in terms of variables other than y and x. Use tables to display results. Look for patterns that data fitting proportional (y = mx), and linear (y = mx + c) models have. Consider the main features of proportional and linear graphs and their differences. Use graphs to find the values of functions and to solve linear equations. 
Currency conversion 
Reaction rates 

Shorter by helicopter 

Circles (assignment) 

Linear graphs 

Hire a coach 

Plumbers’ callout 

Graphs 

Graphs of functions in Excel 

Spreadsheet graphs 

Linear relationships 
Topic area 
Content 
Nuffield Resource 
Substitution into formulae 
Substitute data into formulae and functions using BIDMAS to find secondary data including formulae with multiples and fractions of linear terms.
Use formulae to convert units Use substitution of values into a given expression for a model (y = mx +c, y= kx^{2}+c) to find unknown constants 
Formulae 
Nonlinear graphs 

Solve equations 
Form and solve exactly simple equations where there is only one unknown, such as 2x = 1.5x + 4 

Revision 
Revise topics across the whole core content including money and shape & space topics. Discuss Data sheet – make up and try questions based on it. 

Work Scheme C
Use this scheme of work if your students are also studying Using spatial techniques and Using data.
In this case, for the core unit you will need to cover the topic areas listed below which involve money and algebra. Note that some of the money topics (eg those involving fractions, % and ratio) are similar to those in the Using Data content. You may wish to extend the work done for Using Data to include the money calculations listed below rather than studying them separately.
You should introduce the following and include them wherever possible during this part of the course:
 Rounding values as appropriate (e.g. nearest pence, pound, £100 etc)
 Effective and efficient use of a calculator, including understanding how calculators use the rules of precedence in arithmetic
 Checking calculations using estimates, inverse operations and alternative methods
Topic area 
Content 
Nuffield resources 
Currency 
Use British coins and notes to make amounts and give change. Use exchange rates to convert amounts between currencies. 
Convert currency 
Money calculations involving fractions and percentage (9 hours) 
Read and use information given in tables and use fractions, decimals and percentages in a range of contexts. Include: · Finding fractions and percentages of quantities (such as discounts, VAT on order forms and bills) · Calculating new values given a starting value and the percentage rate (such as amount in an account after interest is added, sale price after a reduction, wage after a percentage rise). Use spreadsheets to record and work out values. 
Find percentage 
Sale 

Work out VAT 

Calculating VAT 

Wages and overtime 

Firefighters’ pay 

Bills (assignment) 

Invoices 

Mobile phone tariffs 

Savings and interest 
Topic area 
Content 
Nuffield resources 
Best buys 
Use decimals to make comparisons (putting in order of size). Use % to make comparisons.
Select the best buy in a range of contexts. (May also require conversion of units such as kg to g, litres to ml) 
Best buys 
Party time (assignment) 

The best buy (assignment) 

Recording financial transactions 
Credits, debits and running totals, using both positive and negative numbers. Drawing line graph by hand to show how balance varies over time. Writing one quantity as a fraction or percentage of another. Use a spreadsheet to carry out and record financial calculations (including the use of negative numbers).

Student budget 
Car costs (assignment) 

Create a bank statement 

Bank balance 

Spot the errors 

Bank statement (assignment) 

Every second counts (AMP activity) 

Plot and interpret line graphs of real data 
Plot accurate graphs of data pairs by hand and using either a graphic calculator or function plotting software, ensuring that the graphs are correctly scaled and labelled. Use coordinates in all 4 quadrants where appropriate. Fit straight lines by eye as an approximate fit when appropriate and discuss ideas of positive and negative correlation. Identify errors in data by inspection and graphical means. Discuss gradients and intercepts of graphs with the axes and where appropriate understand their physical significance. 
Road test 
Topic area 
Content 
Nuffield resource 

Proportional and linear graphs 
Use functions to find data pairs of the form y = mx + c, including functions in terms of variables other than y and x. (Use tables to display results.)
Look for patterns that data fitting proportional
Consider the main features of proportional and linear graphs and their differences. 
Linear graphs 

Convert currency 


Hire a coach 


Graphs of functions in Excel 


Spreadsheet graphs 


Linear relationships 


Plumbers’ callout 


Substitution into formulae 
Substitute data into formulae and functions using BIDMAS to find secondary data including formulae with multiples and fractions of linear terms.
Use formulae to convert units Use substitution of values into a given expression for a model (y = mx +c, y= kx^{2}+c) to find unknown constants 
Formulae 

Nonlinear graphs 


Solve equations 
Form and solve exactly simple equations where there is only one unknown, such as 2x = 1.5x + 4 


Revision 
Revise topics across the whole core content including shape and space and statistics topics. Discuss Data sheet – make up and try questions based on it. 

Page last updated on 20 March 2012