Edexcel GCSE Foundation scheme

Using modules provided by Edexcel for:

GCSE Mathematics course with coursework (syllabus number1387)

Students in these groups will be issued with the text resources:

London GCSE Mathematics Foundation Course (old version)

(Heinemann)

London GCSE Revision and Practice Books in Spring Term Year 11

Exam Paper folders in Spring Term Year 11

The programme is referenced to:

  • the modules provided by Edexcel for the GCSE Mathematics course with coursework (1387)
  • the chapters of these books.

Whilst these are an important and useful resource, staff are reminded that they are only part of a variety of different materials that can be used in the teaching and learning programme. Where the text does not cover a particular topic this is referenced in the fifth column. For such topics worksheets and other resources are available in the mathematics staffroom.

Chapter / Chapter heading / Edexcel module / Edexcel objectives / Grade / Extra resources needed
1. / Number / 1
13 / 1a
1b
1d
1e
13a
13b
13c / E
F
E
F
F
F / Understand the content of the module
Work confidently on the 4-rules of number with and without the use of a calculator, including long multiplication and long division, and understand the order in which operations should be applied
Understand the concept of rounding, including questions where remainders are included
Understand the work confidently with negative numbers in context
Understand the meaning of an index, and evaluate powers with and without a calculator
Use and understand the terms odd, even, square, cube, root and reciprocal
Recall the squares and cubes of 2, 3, 4, 5 and 10
2. / Algebra 1 / 2
16
19 / 2a
2b
16b
16c
16d
16e
19a / E
F
F
E
D
F / Understand the contents of the module
Manipulate expressions by collecting like terms and removing brackets
Continue linear and non-linear sequences of numbers
Recognise algebraic terms and interpret them
Use powers, brackets and simplify terms
Investigate number patterns, describing them in words and using the nth term for linear expressions
Work comfortably with letters representing numbers / 16a continue sequences of diagrams
29a generate expressions involving two or more terms
3. / Angles and Turning / 7
14
24 / 7c
14a
24a
24b
24d / F
E
G
D
D / Recognise and draw acute, obtuse and reflex angles
Solve angle problems on a straight line, at a point and through opposite angles
Recognise and draw parallel and perpendicular lines
Recognise and solve problems involving corresponding and alternate angles
Prove the two results involving angles in triangles / 7d extend to drawing extend to include parallel work on bearings and perpendicular lines
4. / Fractions / 11
22 / 11a
11b
11c
11d
11e
11g
11f
22b
22c / G
F
E
F
E
F
E
E
E / Recognise shaded diagrams representing simple fractions, decimals and percentages
Recognise fractions presented in different formats
Find fractions of quantities
Use factors, multiples and common factors to calculate equivalent fractions, and order fractions
Multiply a fraction by an integer and by a unit fraction
Simplify fractions and ratios
Convert fractions to decimals and ratio
Add and subtract fractions including simple cases involving mixed numbers
Multiply and divide simple fractions where the answers may involve mixed numbers
5. / 2D shapes / 7
14
24 / 7a
7b
7e
7f
7g
14b
14c
14d
24c / F/G
F
E
F
E
D
D
E
D / Name the different types of triangles, quadrilaterals and polygons
Understand and recognise regularity of shapes
Draw 2D shapes on plain and squared paper using ruler, protractor and compasses (including a circle or arc)
Recognise shapes that are congruent and in different orientations, and create congruent shapes by rotating them through half and quarter turns
Recognise shapes that will tessellate and be able to continue the tessellating pattern
Know and use angle properties of all types of triangles, quadrilaterals
Solve problems involving interior and exterior of all regular polygons, and irregular polygons with 4, 5 or 6 sides
Construct polygons within circles
Use parallel line properties of parallelogram or rhombus to solve problems / 7h include circle and finding circumferences 7I + 7j construct
6. / Decimals / 1
5
27 / 1f
5a
27b / E/F
D / Understand the content of the module
Work confidently on the 4 rules of decimals without the use of a calculator
Use one significant figure to estimate answers without a calculator / 5b add questions set in real life context including money include significant figures and decimal places
7. / Measure 1 / 4 / 4a
4b
4c
4d / F/G
F
G
F / Make estimates of lengths, volumes and weights in a real life context
Read scales in a wide variety of contexts, including graduated scales and scales using decimals
Measure lengths to the nearest millimetre, including marking midpoints of lines
Choose appropriate units with which to measure
8. / Collecting and Recording Data / 3 / 3a
3b
3c
3d
3g / E
E
F
F/G / Understand the contents of the module
Design a simple questionnaire, and appreciate deficiencies in a question
Understand the concept of sampling a population, and what makes a fair sample
Collect data from a variety of sources
Extract data from lists and tables
9. / Algebra 2 / 8
15
23 / 8a
15a
23a
23b
23e / E
E
D/E
D
D / Specify the co-ordinates of any point in 4 quadrants
Construct and interpret line graphs for all types of data
Read from real-life graphs, distance/time graphs and conversion graphs to answer questions
Calculate speed from numerical data and from a graph
Plot graphs of the form y = ax + b using a table to generate points / Extend to co-ordinates in all four quadrants 8e include graphs such as x +3y = 1
23d include work on midpoints of lines
10. / Sorting and Presenting Data / 3 / 3e
3f
3g / F
G
G / Sort and collect data in a tally table and grouped frequency table
Draw and interpret dual bar charts and pictograms
Extract data from lists and tables / 15b add stem and leaf diagrams
11. / 3D Shapes / 20
28 / 20a
20b
28b / F
F
F / Describe solid shapes in terms of edge, vertices and faces
Draw nets of simple solids and use them to evaluate surface area
Draw nets of simple solids and use these to calculate surface area / 28a include drawing 2D shapes on isometric paper add 28b extend work on nets to calculate surface area
12. / Using and Applying Maths / Use chapter in new text to supplement this
13. / Measure 2 / 9
26 / 9a
9b
9c
9d
9e
26h / E
E
D
E
G
F
D / Change between units for length, volume and weight
Know the basic conversion facts for metric to imperial units of length, volume and weight and be able to change between them
Change between hours, minutes and seconds and deal with problems with adding and subtracting time
Work with adding and subtracting days from a calender
Work with bus and train timetables
Convert between a variety of units using knowledge of metric equivalents of common imperial units
14. / Percentages / 5
22
25 / 5c
22a
25b
25c
25d / D
E
E
E
E / Understand and change between percentages, fractions and decimals
Recognise equivalence between simple factions and percentages
Use percentages to describe increases and decreases
Use percentages to solve problems involving VAT, taxation, bills, profit and loss
Use percentages to compare amounts
15. / Algebra 3 / 19 / 19b / D / Balance equations, remove brackets in an equation and solve simple equations including examples where the unknown appears on both sides
16. / Pie Charts / 10 / 10a
10b / D
E / Use a pie char to display data as appropriate
Interpret given pie charts
17. / Ratio and Proportion / 11
26 / 11g
26a
26b
26c
26d
26e
26f / E
E
E
E
E
D
D / Simplify fractions and ratios
Recognise a ratio as a way of showing the relationship between two factors
Simplify a ratio by dividing both its numbers by a common factor
Recognise when a ratio is in its lowest terms
Recognise that two numbers are in proportion if their ratios stay the same as the quantities get larger or smaller
Use the unitary method as a way of solving ratio and proportion problems
Interpret and use a scale to show the relationship between a distance on a map and the distance on the ground / 26g convert between a variety of units an currencies where conversion units are given
18. / Symmetry / 8
28 / 8b
8c
8d
28c / G
F
E
D / Recognise shapes that have line and rotational symmetry
Draw lines and planes of symmetry on simple shapes
Reflect in specified mirror lines
Find and sketch the planes of symmetry of simple solids
19. / Measure 3 / 17
20
23
30 / 17a
17c
17d
20c
20d
20e
23b
30a
30b / F
E
D
G
E
F
D
E
D / Count area and perimeter of simple shapes
Calculate areas of rectangles, parallelograms, triangles and trapezia
Calculate areas of compound shapes made from triangles and rectangles e.g. regular hexagon, kite
Find volume of simple solids by counting cubes
Know and use the formula of a cuboid to solve problems
Find how many small boxes will fit into a larger box
Calculate speed from numerical data and from a graph
Use the vocabulary of a circle (circumference, radius and diameter)
Recall and apply the formulae for the area and circumference of a circle / 17b Recognise and use the relationships between the areas of rectangles, parallelograms and triangles
20. / Averages / 12 / 12a
12b / F
D / Calculate mode, mean, median and range for simple data
Calculate mean and modal class from a discrete or grouped frequency table / Include work on grouped frequency tables 12c compare distributions using averages and range
21 / Algebra 4 / 19 / 19c
19d
19e / E
E
E / Use word formulae and algebraic formulae to represent a relationship between quantities
Substitute into rules and formulae using positive and negative numbers
Use simple equations to solve problems / Include trial and improvement 27d
22. / Transformations / 21 / 21a
21b
21c
21d / E
D
D
D / Recognise translations as sliding movements, and translate simple 2D shapes within a plane
Understand which are the invariant properties of enlargements
Enlarge shapes using a variety of positive scale factors
Work on tasks involving these transformations / Use terminology: invariant
12e add work on similar shapes in relation to enlargement
23. / Probability / 6
18 / 6a
6b
6c
6d
6e
18a
18b
18c
18e / G
G
E
F
F
E
E
D
D / Mark the position of a probability on the probability scale
Describe in words the likelihood of an event, and recognise events which are least or most likely
Write down the probability of a single event occurring
Understand certainty and impossibility
List outcomes for one or two events
Write down theoretical probabilities of a single event happening
Establish the estimated probability of an event happening
Find the probability of an event not happening given the probability of an event happening
Solve probability problems using sample spaces and two-way tables / 18d predict how many times an event may happen given the probability
24. / Calculators and Computers / 25 / 25a / E / Use percentages to solve simple problems without a calculator / Include us of power button
25. / Scatter diagrams / 15 / 15c
15d
15e / D
D
D / Plot and use a scatter graph to describe correlation
Describe a relationship between two variables as illustrated by a scatter diagram
Describe correlation in terms of the two variables, and as positive, weak, negative or strong / 15f add work on drawing line of best fit by eye

Not covered by text book

  • Compare distance/time graphs and compare speed by looking at graphs D
  • Use approximation in a variety of contents E
  • Use inverse operations to check validity of solutions in calculations E

Algebra

  • (i) 29c Factorise with a constant term outside a single pair of brackets D
  • (ii) 29d Derive and solve any linear equations D
  • (iii) 29e Substitute positive into expressions including powers C

Area/volume

  • (i) 30c Recognise that units of volume or area cannot be converted using linear conversion factors D
  • (ii) 30d Convert between units of area or volume D

Handling data

  • 31a Design and use two-way tables for discrete and continuous data D
  • 31b Draw and produce line graphs for time series E
  • 31c Interpret social statistics D

Edexcel modules matched to books by Fiona Mapp and Heather Boyce

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