d1 revision guidebooster... · web viewword formula (e) write and evaluate word formulae (e)...

GCSE booster

CCourse Companion

Name:

Tutor:

p.a.capewell for EPCHS and mathsurgery.wikispaces.com March 2013 1

Introduction

If time is short or your grasp of skills and concepts is secure, you and your teacher may decide that it is unnecessary to complete every question in every exercise. That’s fine, just record the bits you have done with a tick and that other parts have been intentionally skipped with a cross . Leaving the checkbox blank for parts that you know you need to complete will help you prioritise getting done what is necessary for your success.

It’s up to you and your teacher whether you get down to question-level detail and whether you choose to record dates or comments.


Exercise Checklist

Page +Exercise

Topics and notes Date set Complete?

p9Ex 1.1

Collecting data

Q1 - 4

Q5 - 7

Notes:(D) questionnaires

(C) sampling

p11Ex 1.2

Interpreting data

Q1 - 2

Q3 - 4

Notes:(E) pie charts

(C) frequency polygons

p13Ex 1.3a

Averages and range (1)

Q1 - 2

Q3 - 4

Q5

Notes:(E) simple mean, median, mode and range

(D) comparisons using averages and range

(C) averages from frequency tables

p15Ex 1.3b


Q1 - 2

Q3 - 4

Notes:(D) stem and leaf diagrams

(D) finding averages from stem and leaf

p16-17Ex 1.3c


Q1 - 3

Q4

Notes:(D) advantages/disadvantages of averages

(D) estimated mean from frequency tables


Page +Exercise


p19Ex 1.4

Scatter graphs

Q1 - 2 Notes:(C) scatter graphs

p21Ex 1.5

Probability

Q1

Q2

Q3 - 4

Q5

Q6

Notes:(E) probability of equally likely events

(E) probability scale

(E) probability of event E not happening

(D) simple combined events

(C) probability tables and expected outcomes

p23Ex 2.6

Number (whole number arithmetic)

Q1 - 2

Q3 - 4

Q5 - 6

Q7

Notes:(F) simple arithmetic with negative numbers

(F) multiplying whole numbers

(F) dividing whole numbers

(F) problem-solving with whole number arithmetic

p25Ex 2.7

More number (properties of numbers)

Q1 - 2

Q3 - 4

Q5a

Q5b - 7

Q8 - 9

Notes:(F) squares, cubes, multiples, factors, primes

(E) factors and factor trees

(C) prime factor form

(C) LCM and HCF

(C) word problems involving LCM or HCF


Page +Exercise


p27Ex 2.8

Decimals and rounding

Q1 - 3

Q4 - 5

Q6

Q7 - 9

Q10a-f

Notes:(E) multiplying with decimals

(E-D) dividing with decimals

(D) worded ratio problem with decimals

(D) using known facts to find new ones

(D) estimation

p29Ex 2.9a

Fractions (1)

Q1 - 2

Q3 - 4

Q5 - 6

Q7 - 10

Notes:(D) addition and subtraction of fractions

(D) worded problems needing + and – of fractions

(C) addition and subtraction of mixed numbers

(C) worded problems + and – of mixed numbers

p31Ex 2.9b

Fractions (2)

Q1 - 2

Q3 - 5

Q6a – i

Q7 - 10

Notes:(D) multiplication and division of fractions

(D) worded problems needing × and ÷ of fractions

(C) multiplication and division of mixed numbers

(C) worded problems × and ÷ of mixed numbers

p33Ex 2.10

Percentages

Q1 - 6

Q7 - 8

Q9 - 11

Q12

Notes:(E) one number as a percentage of another

(E) percentage of an amount

(E) worded percentage of an amount problems

(D) worded percentage of time problem


Page +Exercise


p35Ex 2.11

Ratio and proportion

Q1 - 3

Q4 - 6

Q7 - 8

Q9

Notes:(D) maps and scales

(D) dividing an amount in a given ratio

(D) simple exchange rate problems

(C) harder exchange rate

p37Ex 2.12

Expressions and factorising

Q1 - 2

Q3a – j

Q4 - 5

Q6a – i

Q7a – i

Q8a – f

Q9a – l

Notes:(E) writing relationships in algebra

(E) simplify by collecting like terms

(D) more writing relationships in algebra

(D) expand a single number over a bracket

(C) expand algebraic term over a bracket

(C) expand and simplify a single bracket

(C) factorise two terms to single bracket

p39Ex 2.13

Index notation, BIDMAS, factorising

Q1a - i

Q2a-d

Q3

Q4 - 5

Q6

Q7 – 8

Q9

Notes:(F) simple BIDMAS

(E) problems involving BIDMAS

(D) substitution problems involving BIDMAS

(C) × and ÷ with indices

(C) simplify with indices and coefficients

(C) expand with indices and expand & simplify

(C) factorise with algebraic term outside


Page +Exercise


p41Ex 2.14

Sequences

Q1

Q2

Q3-4

Notes:(F) linear sequence from pictures; predictions

(C) linear sequence from pictures; formula

(C) linear sequence nth term and use of nth term

p43Ex 2.15a

Straight line graphs (1)

Q1

Q2 - 3

Q4 - 7

Notes:(D) complete the table and draw the graph

(C) draw linear graph (make your own table?)

(C) draw linear graph and use it to solve

p45Ex 2.15b

Straight line graphs (2)

Q1a-d

Q2a-d

Notes:(C) gradient from picture of linear graph

(C) gradient and intercept of linear graph

p47Ex 2.16

Real-life graphs

Q1 - 3

Q4

Notes:(D) interpret real-life graphs

(C) draw distance-time graphs

p49Ex 2.17

Formulae

Q1

Q2 - 3

Q4

Q5 - 6

Q7 - 8

Q9

Notes:(F) use a simple familiar word formula

(E) write and evaluate word formulae

(E) evaluate simple algebraic formulae for positive whole-number values

(D) evaluate algebraic formulae for integers

(D) evaluate algebraic formulae in context

(C) evaluate algebraic 3D Pythagoras’ Theorem


Page +Exercise


p51Ex 2.18a

Angles and triangles (1)

Q1a-f

Q2 - 4

Q5

Notes:(F) naming angles conventions

(E) accurate drawing of angles

(D) construct triangle given ASA or SAS

p53Ex 2.18b

Angles and triangles (2)

Q1 - 2

Q3 - 5

Notes:(F) angles at a point; angles on a line

(E) angles in triangles; isosceles property

p55Ex 2.19

Angles and quadrilaterals

Q1a-f

Q2a-m

Notes:(D) interior angle sum of quadrilateral

(D) angles in systems of parallel lines

p57Ex 2.20

Symmetry

Q1 - 3

Q4 - 5

Notes:(F) simple line and rotational symmetry

(D) puzzles with rotational symmetry

p59Ex 2.21

Measure

Q1 - 3

Q4 - 5

Q6

Q7 - 9

Q10

Notes:(G) everyday metric and Imperial conversions

(F) harder Imperial to metric conversions

(E) comparison of prices involving conversions

(D) speed, distance, time calculations

(C) mileage tables and speed problems


Page +Exercise


p61Ex 2.22a

Perimeter and area (1)

Q1a-f

Q2 - 3

Notes:(D) perimeter & area of triangles and quadrilaterals

(D) perimeter & area of composite shapes

p63Ex 2.22b

Perimeter and area (2)

Q1 - 3

Q4

Notes:(D) problems involving area of composite shapes

(C) find lengths given area facts

p65Ex 2.23

Three dimensional shapes

Q1

Q2

Q3 – 4

Q5

Notes:(F) vertices, edges, faces

(E) surface area and volume of cubes and cuboids

(D) worded problems involving volume of cuboids

(C) volume of a (triangular) prism

p67Ex 3.24

Using a calculator

Q1 - 4

Q5

Q6- 10

Notes:(E) simple evaluation on a calculator

(D) evaluating expressions involving fractions

(C) evaluating expressions with powers and roots

p69Ex 3.25

More percentages

Q1 - 5

Q6 - 7

Q8 - 9

Notes:(E) percentage of amounts, % increase/decrease

(D) comparing prices involving percentages

(C) harder word problems involving percentages


Page +Exercise


p70Ex 3.26a

Equations (1)

Q1a-h

Q2a-h

Q3a-h

Q4a-d

Q5a-j

Notes:(D) linear equations variable on one side

(D) linear equations variable on both sides

(D) linear equations with brackets

(D) linear equations with negatives

(C) mixed linear equations including fractions

p73Ex 3.26b

Equations (2)

Q1 - 3

Q4 - 5

Notes:(D) make and solve linear equations from shapes

(C) trial and improvement

p75Ex 2.27

Inequalities

Q1 - 2

Q3 – 6

Notes:(C) inequalities on a number line

(C) solve linear inequalities

p77Ex 3.28

Quadratic graphs

Q1a-d

Q2 - 5

Notes:(C) tables of values for quadratic functions

(C) drawing and using quadratic graphs

p79Ex 3.29

More formulae

Q1 - 2

Q3 - 4

Q5 - 6

Q7 - 8

Notes:(D) write and use formulae

(C) formulae in functional word problems

(C) harder word problems involving percentages

(C) rearranging simple formulae


Page +Exercise


p81Ex 3.30a

More angles (1)

Q1 - 3

Q4 - 6

Q7 - 8

Notes:(F-E) tessellation

(E-D) regular polygons and their angles

(C) problems with polygons and angles

p83Ex 3.30b

More angles (2)

Q1 - 2

Q3

Q4 - 5

Q6 - 7

Notes:(F -E) accurate drawing of quadrilaterals

(E) bearings

(D) constructions of triangles

(D-C) word problems with bearings

p84-85Ex 3.31

Circles

Q1a-c

Q2 – 3

Q4 - 5

Notes:(D) finding the circumference

(C) working back from circumference to d or r

(C) area of circles problems

p87Ex 3.32

More 3D shapes

Q1 - 3

Q4 - 5

Q6

Notes:(E) nets of prisms

(D) plans and elevations

(C) volume of prisms

p89Ex 3.33

Constructions and loci

Q1 - 2

Q3 - 4

Q5 - 6

Q7 - 8

Notes:(D) angle bisector and perpendicular bisector

(C) more construction problems

(C) loci: lines and circles

(C) loci: shaded regions

Page + Topics and notes Date set Complete?p.a.capewell for EPCHS and mathsurgery.wikispaces.com March 2013 11

Exercise

p91Ex 3.34a

Transformations (1)

Q1a-d

Q2a-d

Q3a-d

Q3e-h

Notes:(E) reflection in drawn lines

(D) translation through vector on grid

(C) rotation about a given point

(C) mixed transformations

p93Ex 3.34b

Transformations (2)

Q1a-c

Q2a-c

Q3

Notes:(E) simple enlargements (scale factor 2 or 3)

(D) enlargements from a centre (s.f. still 2 or 3)

(D) describe enlargements

p95Ex 3.35

Pythagoras’ Theorem

Q1a,d,f

Q1b,c,e

Q2 - 5

Notes:(C) finding the hypotenuse

(C) finding a shorter side

(C) word problems involving Pythagoras’ theorem

≥ ≤


Revision

In GCSE there is a mixture of skills, techniques, key facts and vocabulary to learn. You need to master all of these.

Worded and ‘vocational’ context problems can be an added difficulty. As you encounter new problems that need you to take a different technique or approach, it can be helpful to imagine a problem solving toolkit where each of these questions is a tool that can help you get unstuck:

do you understand the question? what is the unknown? what are the data and what condition must they fit? can you draw a diagram? have you used all the data? have you seen a problem like this before? can you make it like a problem you’ve seen before? what if you specify? put some numbers in place of algebra – does it work? why? what if you generalise? put some algebra in place of numbers – does that help? would an extra point, line, letter help? given the starting point, what can you do? if you were to end up where you wish to, what would be the last step(s)? how can you check your result?

It can be a wise move to highlight your ‘light-bulb moments’ in the margin and notice which one

of these tools you’ve found helpful so that you think of trying something similar in the future.

As with most mathematics exams, you would be wise to try a minimum of five or six of each type of past paper. You must then mark them carefully and identify and correct your errors. After identifying your weak topics you must then set about re-learning, revising and rehearsing the skills you need to get this kind of question right next time. Aim to eliminate at least 20% of the missed marks at each successive attempt.

This process is likely to take about 2 to 3 hours per paper, so you should set aside around thirty hours of revision to the exam-practice phase.

If you are unclear about efficient strategies for memorising facts, definitions and the like, please ask. There is much good advice available, but a few quick questions should allow you to test your revision habits for memory efficiency:

Do you have a clear list of exactly what you need to learn? (Yes – it’s this booklet) Do you have a schedule or plan to get through it all? Are you being an active participant in the revision, or are you just reading it? Are you rehearsing the skills by doing questions and solving problems? Have you planned for repetition, so that you see difficult to remember facts and awkward

routines and algorithms at intervals of say 1hour, 1 day, 1 week and then 1 month apart? Have you got strategies for checking what you have learnt and what is not yet secure? Have you considered the possibility of working with others to teach or test them? Can you be creative or competitive in making learning more fun by making it into a game?


My revision plan.

week beginning what I plan to do done?notes (what went well.../even better if...)

8 April 2013

www:

ebi:

15 April 2013

www:

ebi:

22 April 2013

www:

ebi:

29 April 2013

www:

ebi:

6 May 2013

www:

ebi:

13 May 2013

www:

ebi:

19 May 2013

www:

ebi:


26 May 2013(half-term holiday)

www:

ebi:

2 June 2013

www:

ebi:

10 June 2013

EXAM – paper 1

Tuesday 11th (morning) EXAM – paper 2

Friday 14th (morning)

www:

ebi:

Other Notes:


Past paper checklist.

paper done? marked? score/grade notes (what went well.../even better if...)

Practice set Apaper 1

100

www:

ebi:

Practice set Apaper 2

100

www:

ebi:

Practice set Bpaper 1

100

www:

ebi:

Practice set Bpaper 2

100

www:

ebi:

Practice set Cpaper 1

100

www:

ebi:

Practice set Cpaper 2

100

www:

ebi:

May/June 2012paper 1

100

www:

ebi:

May/June 2012paper 2

100

www:

ebi:

November 2012paper 1

100

www:

ebi:

November 2012paper 2

100

www:

ebi:

March 2013paper 1

100

www:

ebi:

March 2013paper 2

100

www:

ebi:


d1 revision guidebooster... · web viewword formula (e) write and evaluate word formulae (e)...

Documents