WED 13 - STELLA'S CLASSROOM€¦ · P20A20B Pythag trig identities (beach and baby) solves and...

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From Easter, your weekly assignment will consist of two exam papers. w/b Notes Assignment to be handed in this week Classwork 30 th March Ass 24 7A 7B 6 th April Easter holiday 13 th April Easter holiday 20 th April 1A 1B 2A 2B 3A 3B 8A 8B 27 th April 4A 4B 9A 9B 4 th May Study leave starts Mon Friday bank holiday 5A 5B (not handed in) 11 th May PROGRESSION EXAM WED 13 th MAY pm 6A 6B (not handed in) 18 th May Study leave 25 th May Study leave 1 st June A2 lessons start

Transcript of WED 13 - STELLA'S CLASSROOM€¦ · P20A20B Pythag trig identities (beach and baby) solves and...

Page 1: WED 13 - STELLA'S CLASSROOM€¦ · P20A20B Pythag trig identities (beach and baby) solves and proof These are worksheets on stellasclassroom. The left hand column (P1,P6 etc) is

From Easter, your weekly assignment will consist of two exam papers.

w/b Notes Assignment to be handed in this week

Classwork

30th March Ass 24 7A 7B

6th April Easter holiday

13th April Easter holiday

20th April 1A 1B 2A 2B 3A 3B

8A 8B

27th April 4A 4B 9A 9B

4th May Study leave starts Mon Friday bank holiday

5A 5B (not handed in)

11th May PROGRESSION EXAM WED 13th MAY pm

6A 6B (not handed in)

18th May Study leave

25th May Study leave

1st June A2 lessons start

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A Level Maths Exam Practice Chart Name………………………………………………

A

*

96-

91-95

85-90

A

81-84

76-80

70-75

B

67-69

63-66

60-62

C

57-59

53-56

50-52

D

47-49

43-46

40-42

E

37-39

33-36

30-32

U

20-29

10-19

0-9

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

7A

7B

8A

8B

9A

9B

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Things to work on Use this page to keep a record of things to work on once you have completed a paper -

Topics (LU) + Expensive errors (EE)

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

7A

7B

8A

8B

9A

9B

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P2 Algebra and Functions Date Date Date Date Date

Graph sketching and transformations

P1 Sketching cubics

P1 Sketching quartics

P1 Graph transformations summary

P1 Graph transformations(translations)

Completing the square

P6 Completing the square

Quadratics

P6 Sketching quadratics

/ Quadratic modelling

P5 Discriminant

P5 Linear/quad inequalities (set notation)

Factor and remainder theorem

/ Factor and remainder theorem

P27 Algebraic division/equating coefficients

Functions

P31 Domain and range

P31 Composite functions

P31 Inverse functions

P3 Coordinate Geometry Date Date Date Date Date

Midpoint, distance, gradient, area

P3 Midpoint, distance, gradient, area

Straight lines

P3 Equation of a straight line

P3 More equations of lines

/ Linear modelling

Circles

P4 Circles

P5 Trigonometry Date Date Date Date Date

Degrees to radians

/ Converting between degrees to radians

Trig equations

P20A

Solving easy trig equations eg sin (2x-30)=0.5

P20A20B Trickier (sin2x + cos2x =1 and sinx/cosx = tan x)

Reciprocal trig

P20A20B Reciprocal trig (sec, cosec, cot) sketching and solving

P20A20B Pythag trig identities (beach and baby) solves and proof

These are worksheets on

stellasclassroom. The left hand

column (P1,P6 etc) is the A1 Single

Maths Revision Document

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P6 Exponentials and Logarithms Date Date Date Date Date

Exponential graphs

P17 Exponential graphs (easy sketches)

P17 Exponential graphs in context

P17 More exponential graphs in context

Log form to index form

P16 Changing from log form to index form

Solving log equations

P16

Solving log equations (BAP, hidden quadratics)

P16 More log equations (backward logs, log rules, simultaneous)

Logs and non linear data

P17 Logs and non linear data

ex and ln x

P16 ex and ln x (sketch and solve)

P7 Differentiation Date Date Date Date Date

Basic differentiation

P7A Basic differentiation

P7A Tangents and normals

P7A Wordy questions

Differentiation from first principles

P9 Differentiation from first principles (why)

P9 Diff from first principles (questions)

Optimisation

P11 Sketching gradient functions

P7AP10 Max and min problems

P8 P10 More qu (increasing/dec functions) and answers

Differentiation

P7B Chain rule

P7B Product rule

P7B Quotient rule

P7B ex

P7B ln x

/ ax

P7B sin x , cos x

P7B Other trig (sec, tan, cosec etc)

P7B Trickier differentiation (wordy qu)

/ Differentiation tool kit (summary)

P8 Integration Date Date Date Date Date

Easy integration

P23 Easy integration (particular solutions)

Areas under curves

P24 Areas under curves

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P24

Trickier areas under a curve (tangents + normal + fundamental theorem of calc)

The fundamental theorem of calculus

/ The fundamental theorem of calculus

P10 Vectors Date Date Date Date Date

2D Vectors

P29 2D basic vectors (magnitude, unit vector, parallel, angle to axis, position vectors)

P29 2D geometric problems

3D Vectors

P29 3D Vectors (magnitude, unit vector, parallel, angles, geometric problems)

SM2 Data Presentation and Interpretation

Date Date Date Date Date

Measures of average, spread, location, coding and combined mean

S1 Averages and standard deviation and answers

S2 Interpolation (quartiles and percentiles) and answers

S1 Coding

/ Combined mean

SM3 Probability Date Date Date Date Date

Venn diagrams

S4 Venn diagrams

Addition and Multiplication rules – mutually exclusive and independence

S4 Addition and Multiplication rules (inc mutually exclusive and independence)

Probability

S4 Simple probability

S4 Probability in context (words)

/ Killer probability (simultaneous equ)

SM4 Distributions Date Date Date Date Date

Discrete random variables (DRVs)

/ DRVs easy

/ DRVs trickier (games)

Binomial distribution

S5 Binomial distribution (inc unknown n)

S5 Cumulative Binomial distribution (inc Bin within a Bin and backwards Binomial)

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SM5 Hypothesis testing Date Date Date Date Date

Binomial hypothesis testing

S12 Lower tail tests

S12 Upper tail tests

S12 Two tail tests

SM6 Units Date Date Date Date Date

Modelling assumptions definitions

/ Modelling assumptions definitions

Converting units

/ Converting units

SM7 Kinematics Date Date Date Date Date

Suvat

M2 Suvat horizontal

M2 Suvat vertical

Displacement, velocity, acceleration graphs

M1 Displ/time, velocity/time graphs

Vectors in mechanics (F=ma)

M9 Vectors in mechanics (F=ma, resultant)

Vectors in kinematics (ships/walkers)

M9 Vectors in kinematics (ships/walkers)

Projectiles

M3 Projectiles

SM8 Forces Date Date Date Date Date

Newtons 3 laws

/ Newtons 3 laws

Resolving forces simple

/ Resolving forces horizontal and vertical

M5 Resolving forces slopes

Resolving forces coefficient of friction

/ Coefficient of friction

M4 Resolving forces slopes inc friction

M4 More friction questions

Resolving forces connected particles

M8 Connected particles horizontal/ vertical

M6 Connected particles pulleys (no slope)

M6 Connected particles pulleys on slopes

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Your papers should inform the topics you need to work on. Try these as sources for your action questions:

1. Use worksheets from stellasclassroom (links on table above) 2. Use A1 maths revision document (links on the left hand side of this table) 3. Maths genie https://mathsgenie.co.uk/newalevel.html (basic)

4. Online textbook (log in details in admin) 5. Examsolutions (https://www.examsolutions.net/a-level-maths/edexcel/) has great easy to

follow videos on every topic (he’s my favourite) (some old spec) 5. Some people like Dr Frost maths https://drfrostmaths.com/ (some old spec)

Plan Easter – you should record when you are sitting and marking your paper and when you are

doing your T3/Action qu. Put your other subjects in too and give yourself some time off.

Sat 4th April

Sun 5th April

Mon 6th April

Tues 7th April

Wed 8th April

Thurs 9th April

Fri 10th April

Sat 11th April

Sun 12th April

Mon 13th April

Tues 14th April

Wed 15th April

Thurs 16th April

Fri 17th April

Sat 18th April

Sun 19th April

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The key to success is followed by

If you are honest with yourself about how much you understand and if you take remedial action to improve your weak areas, you will get a high grade (unless you make lots of expensive errors). The

three elements we can influence are:

Studying an exam paper is not the same as doing an exam paper. DO NOT simply copy out the mark scheme. Here is why we ask you to study exam papers. You will: Improve your knowledge of how to solve standard problems… By completing every question from past papers you will encounter a lot of questions that have been put into your real exam. Improve the accuracy of your algebra… The exam board have told us that the only difference between E grade and A grade students is that the A grade students make fewer algebraic errors. Being able to answer the questions is not enough. You need to do this without making expensive errors, and this is not something you can learn at the last minute. It takes practice. Improve the speed of your algebra… Your real exam will be an algebra sprint and you will need to get used to the speed required.

Sit down and complete an exam paper. After an hour you have done all you can do so you mark your work using the mark scheme. You realise you’ve made some errors and you think ‘oops! – I won’t do that in the exam!’ You read the solutions to the questions you couldn’t do and think ‘oh – I see how to do it now’. What is wrong with this process?

Do you have any more knowledge? You have read the solutions to the questions you couldn’t

do, but this doesn’t mean you can actually do them

Have you improved the accuracy of your algebra? As soon as you finished the paper you went

to the mark scheme. You didn’t practice the most important part of an exam – looking for and correcting your errors

Have you improved the speed of your algebra? You didn’t try to complete each question in a

fixed time so you have no idea whether you were going at exam speed

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1. Complete the exam paper in exam conditions. Print the paper off so you get used to highlighting key facts and ticking off questions. Work for two hours in one sitting and make a real effort to find your errors before the time is up. You need to get used to how 2 hours of maths in exam conditions ‘feels’. DON’T use the mark scheme, your folders, textbooks or look formulae up.

2. After 2 hours, mark the paper carefully using the mark scheme. The following symbols are used:

• M marks: Method marks are awarded for ‘knowing a method and attempting to apply it’.

• A marks: Accuracy marks can only be awarded if the method (M) marks have been earned.

• B marks are for the correct answer (method not necessary) Circle any question you didn’t get full marks for. Record by the question how many marks are lost. Some students like to categorise them as being due to:

• LU = Lack of understanding (not knowing what to do)

• EE = An expensive error (something that seems silly when you realise what you did)

3. Write a correction on the paper in a different colour pen for any you didn’t get full marks for. Try to find your error without looking at the detailed mark scheme.

4. Record your % in your booklet and also put it in the right hand corner of your paper.

5. Record in your booklet ‘Things to work on’. Include topics (LU) and expensive errors (EE).

6. Wait a day then repeat any question you got wrong as part of your ‘tricky three’. Ideally you

should be repeating ALL questions you went wrong on (three is a minimum). Attach the T3 at the front of your paper.

7. Look back at your ‘things to work on’ list. Find some ‘Action’ questions from the sources suggested and complete at least three questions from your chosen topic. Record the date in your booklet that you did these.

8. Bring your completed booklet to every lesson.

If you choose not to complete this process properly (eg honest self reflection and remedial action) your progress will flatline.

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What has this process done to improve your chance of getting a high grade in the real exam?

Do you have any more knowledge? You kept going back to the harder questions until you

could do them (in your T3 and your action questions), so if these questions come up in your exam you, unlike some other students, can be confident you will know what to do. ☺

Have you improved the accuracy of your algebra? Not only have you practised finding errors

during step one of the process, the fact that you have written them down and categorised them will help you to be more aware of the sorts of errors you make and this will help you, unlike other students, to avoid making them in the real exam ☺

Have you improved the speed of your algebra? Every time you complete a paper in the

correct time you are training yourself to be more comfortable working at the speed needed in the exam. This means that, unlike some other students, you won’t have the problem of running out of time ☺

I am really slow at the start. Does this get easier? Please note this is a slow process at the start.

As you work through the papers you will find you will be accumulating more knowledge and you will speed up and make less errors. Students typically see more progress the more papers they study PROPERLY.

1. Spend two minutes at the start of the exam writing out some formula you have learnt, e.g.

trig identities. Learn your formula and familiarise yourself with the formula book.

2. Scan the paper. You can do the questions in any order. Start with all the familiar questions

first. There are always questions you have never seen before. Do them last.

3. You can write on the exam paper. Draw on diagrams to help you (e.g. area under a graph)

4. Do a sketch e.g. for those questions that involve tangents and normal. Don’t try to hold the

information in your head! IF IN DOUBT SKETCH IT OUT!!!!!

5. Tick off question parts as you go so you don’t leave any parts out. Circle or highlight key

phrases eg “3 dps”, “Hence, “Exact Answer”. Don’t move onto the next question until you

have reread the question and are sure you have answered it.

6. Write in black ink only. Don’t use tippex or highlighters as your answer paper is scanned.

7. Do not have multiple attempts at a question. Make it clear which attempt you want the

examiner to mark by crossing out with a single line. If your crossed out work is not replaced

the examiner will mark it.

8. Give all answers to full accuracy, then you can round to 3sf (unless stated otherwise).

9. Don’t use a rounded answer in another part of the question (especially in stats/mechanics).

You’ll get a final rounding error.

10. ‘Give an exact answer’ means leave your answer with a fraction or π or root in it. Don’t give

a rounded decimal.

11. If you have to sketch a curve you can plot points but then redraw it using a smooth curve.

12. If you can’t do part a) DGU (DON’T GIVE UP!!!!!) Make up a value for part a) and then use it

in subsequent parts of the question to earn method marks.

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13. Keep moving. Don’t spend ages over a part in a question (eg trying to get the formulae for a

stationary point ‘box’ question). Leave it and come back to it at the end. You can still pick

up all the rest of the marks. Use the formulae they give you (not the one you have created).

14. Roughly work at a rate of a mark per minute. That leaves 20 mins for you to check your

work at the end.

15. Don’t get hung up on a one mark question. Look at how many marks there are for a

question (e.g. in a ‘describe’ question if there are 2 marks they will want 2 statements).

16. Write within the space given for each question. Don’t do question 5 in question 6’s space as

the papers are scanned in question by question. If you need additional paper ask for some.

Label parts of questions clearly a), b), c) etc.

17. ‘Hence’ means use what you have just found out. ‘Deduce’ means ‘work out’.

18. In wordy questions (especially stats) you should comment in context and out of context.

Write more than you think but don’t contradict yourself.

19. If you are comparing values then state your comparison numerically (eg 23 > 20) including

the greater than sign. 23 and 20 seen is not a comparison mathematically.

20. If a question asks what is wrong you should state TWO facts. What it is and what it should

be (eg ‘x =2 and it should be x = ½’)

21. Don’t forget the +c in integration.

22. CHECK, CHECK, CHECK (e.g. in trig equations substitute your values into the original

equations to see if you are right. It is a good idea to completely redo questions at the end of

the exam if you have time.

23. Make sure your calculator is in degrees when you go into the exam. Always change it to

radians for the TOOLS (sector) question or differentiating/integrating trig.

24. ‘Using calculus’ means differentiation or integration.

25. A ‘show’ question needs a final statement at the end. If you’re asked to “prove” or “show”

something, the last line in your working should state the answer. It’s sometimes not enough

to write “Q.E.D.” – you must write out the statement at the end (eg ‘therefore (x-1) is a

factor’)

26. A ‘show’ question needs it written in exactly the same way. So if it wants 3x+2y=7 don’t

write 2y+3x =7

27. Don’t forget units in mechanics and a ‘clean’ force diagram with acceleration. Don’t forget

g.

28. Don’t take any shortcuts with proofs. Write out every step. You may know that 𝑡𝑎𝑛𝜃

𝑠𝑒𝑐𝜃= 𝑠𝑖𝑛𝜃

but if it’s part of a proof, you must go through the ‘baby’ steps. You should start your proof

LHS = …. and finish…. =RHS QED.

29. Know your calculator. Use it to check your differentiation, integration, sigma, inequalities,

solving equations.

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These are formulae

you are EXPECTED to

know. They WILL

NOT appear in the

formula book. These

are suggested by the

exam board.

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Page 5

These are

formulae that WILL

appear in the

formula book.

Pages 5-8. You

only need the ones

with the star.

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And breathe………