FSMQ Level 2 Higher Core Unit scheme of work
The content of this unit is based on the subject content of the FSMQs that are components of the 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 2 FSMQs (Financial calculations, Shape and space, Handling data, Algebra and graphs) either before or alongside that of this core unit. You should select just one of the six work schemes according to which two Level 2 FSMQs you are also using. The work scheme describes the extra topics that you will need to cover for your learners to be prepared for the core examination. Each of the three alternatives recommends a total of 60 guided learning hours including an allocation of time for revision which should include some of the topics from the two FSMQs that you are also using.
If your students are studying one or two of the equivalent FSMQs at Level 1 (that is Money management, Using spatial techniques and/or Using data) you will also need to cover the Level 2 topics in these areas in the higher core content.
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 assessment of this core unit. Also note that the AMP activities were not written specifically for this core unit and may include some work that is beyond that needed.
Work Scheme A
Use this scheme of work if your students are also studying Financial calculations and Handling 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 The links below go to pages from which you can download the resources, some recently revised. 
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 Record dimensions in tables and in diagrams. Discuss accuracy of measurements and how it affects subsequent use. Recognise that measurements expressed to a given unit can have a maximum error of half a unit. 
Measure it 
Paper sizes (AMP activity) 

Errors (Use the first part only) 

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 and areas of rectangles, triangles, trapezia and parallelograms
· Circumference of circle · Area of circle and areas of sectors of circles 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 The links below go to pages from which you can download the resources, some recently revised. 
Calculate surface area and volume of 3D shapes 
Find surface areas and volumes of cuboids, prisms (including triangular) and cylinders giving values in correct units. 
Volume 
Use of formulae 
Substitute values into given formulae and functions using BIDMAS to find secondary data (including formulae with multiples and fractions, powers and brackets). Include use of formulae
· to convert units such as using · to find the surface area and volumes of spheres, hemispheres and cones Use formulae (for single plane shapes or solids) for perimeters, areas and volumes, together with known values to find one unknown length (for instance given and values for , and , find ). 
Hot water tank: Formulae 
Goldfish bowl: rearrange formulae 

Solve problems 
Solve problems involving lengths and angles, deciding on the correct arithmetic to use (adding, subtracting, multiplying, dividing) Use ideas of similarity in terms of enlargement and scale factors (include finding unknown sides in similar triangles). 
Length problems 
How much will it cost? 

Costing the job 

Pythagoras’ Theorem 
Use Pythagoras theorem to calculate unknown lengths including use of the formula c^{2} = a^{2} + b^{2} in 2D problems. 
Pythagoras 
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 
Topic area 
Content 
Nuffield resources 
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/curved lines by eye as an approximate fit to data and consider intercepts and long term behaviour in real world terms. Calculate the gradients of linear graphs in appropriate units and understand their physical significance. 
Crushed calcium carbonate 
Matching graphs and scenarios Twelve pairs of cards for students to match. One card in each pair shows a graph and the other gives a description of the real situation that the graph represents. Slide presentation to aid discussion (same graphs with titles and labels). 

Road test 

Melting and freezing points (assignment) 

Experiments 

Proportional, linear and quadratic functions and their graphs 
Use functions to find data pairs of the form y = mx + c and y = kx^{2} + c including functions in terms of variables other than y and x. (such as s = 5t^{2}, P = ).
Look for patterns in data fitting proportional (y = mx),
Use graphs (including the Find the approximate solution of linear simultaneous equations by finding the point of intersection of two straight lines. 
Linear graphs 
Hire a coach 

Graphs of functions in Excel 

Spreadsheet graphs 

Linear relationships 

Match linear functions and graph 

Nonlinear graphs 

Plumbers’ prices 

Circuit boards (assignment) 
Topic area 
Content 
Nuffield resource 
Areas under graphs (4 hours) 
Calculate estimates of areas under graphs and understand their physical significance (if any) using the formula for the area of a trapezium (and triangle if necessary). 
Speed and distance 
Equations 
Form and solve exactly equations where the unknown appears in only one term (such as 2x^{2} + 14 = 20 with solutions and ) and equations where the unknown appears two terms each of the same power 
Algebraic expressions 
Use timetables 
Read and use timetables using 12 and 24hour clocks. 
Every second counts (AMP activity) 
Revision (9 hours) 
Revise topics across the whole core content (including finance 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 Financial calculations and Shape and space. 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 interpretation of statistical diagrams and line graphs) are similar to those in the Financial calculations content. You may wish to extend the work done for Financial calculations to include these rather than studying them separately.
You should 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 resources 
Averages and range 
Discuss the difference between discrete and continuous data. Choose and find appropriate measures of location: mean (from or ), mode, median
including use of calculator and spreadsheet. 
On average 
Coffee shop 

Draw and interpret statistical diagrams 
Draw pictograms, bar charts and pie charts. Draw histograms (with equal class widths) and stem and leaf diagrams (including backtoback). Consider the use of techniques which aim to mislead or exaggerate findings (such as manipulation of axes/ using area to exaggerate findings/choosing to omit some data). (There is some overlap with the content of 'Financial calculations' allowing possible combination of work) 
Draw pie charts in Excel 
Pie charts 

Draw histograms in Excel 

Safety on the roads 

Mineral water (assignment) 

Solar eclipse 

Election results 
Topic area 
Content 
Nuffield resources The links below go to pages from which you can download the resources, some recently revised. 

Compare datasets (12 hours) 
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. Consider whether alternative measures/diagrams would be more/less useful to highlight the findings. Identify what it is not possible to conclude from the data, and consider what extra information / data is needed. 
Acid rain 

Heights and weights (assignment) 

Body Mass Index (assignment) 

Computer survey (assignment) 

Football figures 

House prices 

Parttime work survey 

Music Festival 

HE applications 

Heart rate 

Five a day 

Larks and owls (assignment) 

Crime in the regions (assignment) 

Cemetery mathematics (AMP activity) 

Reaction times (AMP activity) 


Topic area 
Content 
Nuffield resources 

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 four quadrants where appropriate. Fit straight/curved lines by eye as an approximate fit to data, and consider intercepts and longterm behaviour in real world terms. Calculate the gradients of linear graphs in appropriate units and understand their physical significance. 
Matching graphs and scenarios 
Crushed calcium carbonate 

Interpreting curves 

Road test 

Melting and freezing points (assignment) 

Reaction rates 

Experiments 

Proportional, linear and quadratic functions and their graphs 
Use functions to find data pairs of the form
Use substitution of values into a given expression for a model
Look for patterns in data fitting proportional Find the approximate solution of linear simultaneous equations by finding the point of intersection of two straight lines. 
Currency conversion 

Linear graphs 

Shorter by helicopter 

Circles (assignment) 

Nonlinear graphs 

Hire a coach 

Plumbers’ callout 

Graphs of functions in Excel 

Spreadsheet graphs 

Linear relationships 
Topic area 
Content 
Nuffield resources 
Areas under graphs 
Calculate estimates of areas under graphs and understand their physical significance (if any) using the formula for the area of a trapezium (and triangle if necessary). 
Speed and distance 
Formulae and equations 
Substitute values into formulae and functions using BIDMAS to find secondary data (including formulae with multiples and fractions, powers and brackets).
Form and solve exactly equations where the unknown appears in only one term (e.g. 2x^{2} + 14 = 20 with solutions and ) and equations where the unknown appears two terms each of the same power (such as 
Hot water tank: Formulae 
Goldfish bowl: rearrange formulae 

Algebraic expressions 

Use timetables 
Read and use timetables using 12 and 24 hour clocks. 
Every second counts (AMP activity) 
Revision 
Revise topics across the whole core content including finance and shape and space topics. Try specimen and past papers. 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 Shape and space and Handling data.
In this case, for the core unit you will need to cover the topic areas listed below which involve finance and algebra. Note that some of the topics (such as use of formulae and misuse of graphs) are similar to those in the Shape and space and Handling data content. You may wish to extend the work done for the other FSMQs to include these rather than studying them separately for this unit.
You should introduce the following and include them wherever possible during this part of the course:
 rounding values as appropriate (such as nearest pence, pound, £100)
 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 exchange rates to convert amounts between currencies. 
Convert currency 
Money calculations involving fractions and percentages 
Read and use information given in tables and use fractions, decimals and percentage in a range of contexts involving money. 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 

Wages and overtime 

Savings and interest 

Firefighters’ pay 

Bills 

Invoices 

Mobile phone tariffs 

Use timetables 
Read and use timetables using 12 and 24 hour clocks. 
Every second counts (AMP activity) 
Topic area 
Content 
Nuffield resources 
Comparisons 
Use fractions, decimals and percentages to make comparisons. Select the best buy in a range of contexts. Express two or three quantities as a ratio, divide a quantity in a given ratio (e.g. 2 : 3 : 5) and use ratios to make comparisons (between 2 or 3 values) (May also require conversion of units such as kg to g, litres to ml) 
Best buys 
Ratios 

Party time (assignment) 

The best buy (assignment) 

Recording financial transactions 
Credits, debits and running totals, using both positive and negative numbers. Draw line graph by hand to show how balance varies over time. Use a spreadsheet to carry out and record financial calculations (including the use of negative numbers). Consider the use of techniques which aim to mislead or exaggerate findings (such as manipulation of axes/ using area to exaggerate findings/choosing to omit some data). (There is some overlap with the content of Handling data allowing possible combination of work)

Student budget 
Car costs (assignment) 

Bank balance 

Spot the errors 

Bank statement (assignment) 

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/curved lines by eye as an approximate fit to data and consider intercepts and long term behavior in real world terms. Calculate the gradients of linear graphs in appropriate units and understand their physical significance. 
Reaction rates 
Matching graphs and scenarios Twelve pairs of cards for students to match. One card in each pair shows a graph and the other gives a description of the real situation that the graph represents. Slide presentation to aid discussion (same graphs with titles and labels). 

Interpreting curves 

Road test 

Melting and freezing points (assignment) 

Crushed calcium carbonate 

Experiments 
Topic area 
Content 
Nuffield resource 
Proportional and linear graphs 
Use functions to find data pairs of the form y = mx + c and y = kx^{2} + c including functions in terms of variables other than y and x Look for patterns in data fitting proportional (y = mx), linear (y = mx + c) and quadratic models (y = kx^{2}) have and consider the main features of their graphs and their differences. Use graphs (including the y = mx + c and y = kx^{2} + c types) to determine the values of functions and to solve equations. Find the approximate solution of linear simultaneous equations by finding the point of intersection of two straight lines. 
Linear graphs 
Convert currency 

Hire a coach 

Graphs of functions in Excel 

Spreadsheet graphs 

Linear relationships 

Nonlinear graphs 

Plumbers’ callout 

Formulae and equations 
Substitute values into formulae and functions using BIDMAS to find secondary data (including formulae with multiples and fractions, powers and brackets).
Form and solve exactly equations where the unknown appears in only one term (such as 2x^{2} + 14 = 20 with solutions and ) and equations where the unknown appears two terms each of the same power (There is some overlap with the content of Shape and space allowing possible combination of work) 
Formulae 
Rearrange formulae 

Algebraic expressions 

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

Work Scheme D
Use this scheme of work if your students are also studying Financial calculations and Algebra and graphs.
In this case, for the core unit you will need to cover the topic areas listed below which involve shape and space and data. Note that some of the data topics (such as interpretation of statistical diagrams and line graphs and use of formulae for areas and volumes) are similar to those in the Financial calculations and Algebra and graphs content. You may wish to extend the work done for the other FSMQs to include these rather than studying them separately for this unit.
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 resources 
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. Recognise that measurements expressed to a given unit can have a maximum error of half a unit. 
Measure it 
Paper sizes (AMP activity) 

Errors (Use the first part only) 

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 
Topic area 
Content 
Nuffield resources 
Calculate perimeters and areas of 2D shapes 
Use measurements of length, in both metric and imperial units, to calculate: · Perimeters and areas of rectangles, triangles, trapezia and parallelograms
· Circumference of circle · Area of circle = and areas of sectors of circles 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) 

Calculate surface area and volume of 3D shapes 
Find surface areas and volumes of cuboids, prisms (including triangular) and cylinders 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 ideas of similarity in terms of enlargement and scale factors (include finding unknown sides in similar triangles). 
Length problems 
How much will it cost? 

Costing the job 

Pythagoras’ Theorem 
Use Pythagora's theorem to calculate unknown lengths including use of the formula c^{2} = a^{2} + b^{2} in 2D problems. 
Pythagoras 
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 
Topic area 
Content 
Nuffield resources 
Use timetables 
Read and use timetables using 12 and 24 hour clocks. 
Every second counts (AMP activity) 
Averages and range 
Discuss the difference between discrete and continuous data. Choose and find appropriate measures of location: mean from or , mode, median including use of calculator and spreadsheet. Choose and find appropriate measures of spread: range and interquartile range. Use these to compare datasets. 
On average 
Coffee shop 

Draw and interpret statistical diagrams 
Draw pictograms, bar charts and pie charts. Consider the use of techniques which aim to mislead or exaggerate findings (such as manipulation of axes/ using area to exaggerate findings/choosing to omit some data). (There is some overlap with the content of Financial calculations allowing possible combination of work) 
Draw pie charts in Excel 
Pie charts 

Draw histograms in Excel 

Safety on the roads 

Mineral water (assignment) 

Solar eclipse 

Election results 
Topic area 
Content 
Nuffield resources 
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. Consider whether alternative measures/diagrams would be more/less useful to highlight the findings. Identify what it is not possible to conclude from the data and consider what extra information /data is needed. 
Acid rain 
Heights and weights (assignment) 

Body Mass Index (assignment) 

Computer survey (assignment) 

Football figures 

House prices 

Parttime work survey 

Music Festival 

Heart rate 

Five a day 

HE applications 

Larks and owls (assignment) 

Cemetery mathematics (AMP activity) 

Reaction times (AMP activity) 



Revision (10 hours) 
Revise topics across the whole core content (including finance and algebra topics). Try specimen and past papers. Discuss data sheet – make up and try questions based on it. 

Work Scheme E
Use this scheme of work if your students are also studying Shape and Space and Algebra and Graphs.
In this case, for the core unit you will need to cover the topic areas listed below which involve finance and data.
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 resources 
Averages and range 
Discuss the difference between discrete and continuous data. Choose and find appropriate measures of location: mean (from or )
mode, median including use of calculator and spreadsheet. 
On average 
Coffee shop 

Draw and interpret statistical diagrams 
Draw pictograms, bar charts and pie charts. Consider the use of techniques which aim to mislead or exaggerate findings (such as manipulation of axes/ using area to exaggerate findings/choosing to omit some data). (There is some overlap with the work on line graphs for finance allowing possible combination) 
Draw pie charts in Excel 
Pie charts 

Draw histograms in Excel 

Safety on the roads 

Mineral water (assignment) 

Solar eclipse 

Election results 
Topic area 
Content 
Nuffield resources 
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. Consider whether alternative measures/diagrams would be more/less useful to highlight the findings. Identify what it is not possible to conclude from the data, and consider what extra information /data is needed. 
Acid rain 
Heights and weights (assignment) 

Body Mass Index (assignment) 

Computer survey (assignment) 

Football figures 

House prices In Version A, students draw and interpret statistical diagrams and calculate statistical measures by hand. In Version B, students use a spreadsheet to create the statistical diagrams and calculate statistical measures, then interpret them. 

Parttime work survey 

Music Festival 

Heart rate 

Five a day 

HE applications 

Larks and owls (assignment) 

Cemetery mathematics (AMP activity) 

Reaction times (AMP activity) 


Topic area 
Content 
Nuffield resources 
Currency 
Use exchange rates to convert amounts between currencies. 
Convert currency 
Money calculations involving fractions and percentages 
Read and use information given in tables and use fractions, decimals and percentages in a range of contexts involving money. 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 

Wages and overtime 

Firefighters’ pay 

Bills (assignment) 

Invoices 

Mobile phone tariffs 

Savings and interest 

Use timetables 
Read & use timetables using 12 and 24 hour clocks. 
Every second counts (AMP activity) 
Topic area 
Content 
Nuffield resources 
Comparisons 
Use fractions, decimals and percentages to make comparisons. (May also require conversion of units such as kg to g, litres to ml) 
Best buys Examples and worksheet. 
Ratios 

Party time (assignment) 

The best buy (assignment) 

Recording financial transactions 
Credits, debits and running totals, using both positive and negative numbers. Draw line graph by hand to show how balance varies over time. Use a spreadsheet to carry out and record financial calculations (including the use of negative numbers). Considerthe use of techniques which aim to mislead or exaggerate findings (such as manipulation of axes/ using area to exaggerate findings/choosing to omit some data). (There is some overlap with earlier statistical work allowing possible combination)

Student budgets 
Car costs (assignment) 

Bank balance 

Spot the errors 

Bank statement (assignment) 

Revision (10 hours) 
Revise topics across the whole core content (including algebra and shape and space topics). Try specimen and past papers. Discuss data sheet – make up and try questions based on it. 

Work Scheme F
Use this scheme of work if your students are also studying Handling data and Algebra and graphs.
In this case, for the core unit you will need to cover the topic areas listed below which involve finance and shape and space. Note that some of the topics (such as use of formulae for areas and volumes) are similar to those in the Algebra graphs content. You may wish to extend the work done for Algebra and graphs to include these rather than studying them separately for this unit.
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 resources 
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. Recognise that measurements expressed to a given unit can have a maximum error of half a unit. 
Measure it 
Paper sizes (AMP activity) 

Errors (Use the first part only) 

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 (5 hours) 
Use measurements of length, in both metric and imperial units, to calculate: · Perimeters and areas of rectangles, triangles, trapezia and parallelograms · Circumference of circle = = and arc length of circles for fractions of circles · Area of circle = and areas of sectors of circles 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 resources 
Calculate surface area and volume of 3D shapes 
Find surface areas and volumes of cuboids, prisms (including triangular) and cylinders 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 ideas of similarity in terms of enlargement and scale factors, including finding unknown sides in similar triangles. 
Length problems 
How much will it cost?
Costing the job 

Pythagoras’ Theorem 
Use Pythagoras theorem to calculate unknown lengths including use of the formula c^{2} = a^{2} + b^{2} in 2D problems. 
Pythagoras 
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 shapes in Word 
Topic Area 
Content 
Nuffield resources 
Currency 
Use exchange rates to convert amounts between currencies. 
Convert currency 
Money calculations involving fractions and percentages 
Read and use information given in tables and use fractions, decimals and percentages in a range of contexts involving money. 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 

Wages and overtime For giving students practice in working out overtime rates. 

Firefighters’ pay 

Bills (assignment) 

Invoices 

Mobile phone tariffs 

Savings and interest 



Use timetables 
Read and use timetables using 12 and 24 hour clocks. 
Every second counts (AMP activity) 
Topic area 
Content 
Nuffield resources 
Comparisons 
Use fractions, decimals and percentages to make comparisons. Select the best buy in a range of contexts. Express two or three quantities as a ratio, divide a quantity in a given ratio (e.g. 2 : 3 : 5) and use ratios to make comparisons (between 2 or 3 values) (May also require conversion of units such as kg to g, litres to ml) 
Best buys Examples and worksheet. 
Ratios 

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. Use a spreadsheet to carry out and record financial calculations (including the use of negative numbers). Consider the use of techniques which aim to mislead or exaggerate findings (such as manipulation of axes/ using area to exaggerate findings/choosing to omit some data). (There is some overlap with the content of Handling data allowing possible combination of work)

Student budgets 
Car costs (assignment) 

Bank balance 

Spot the errors 

Bank statement (assignment) 

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

Page last updated on 22 March 2012