WED 13 - STELLA'S CLASSROOM€¦ · P20A20B Pythag trig identities (beach and baby) solves and...
Transcript of WED 13 - STELLA'S CLASSROOM€¦ · P20A20B Pythag trig identities (beach and baby) solves and...
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
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
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
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
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
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)
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
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
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
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.
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.
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.
These are formulae
you are EXPECTED to
know. They WILL
NOT appear in the
formula book. These
are suggested by the
exam board.
Page 5
These are
formulae that WILL
appear in the
formula book.
Pages 5-8. You
only need the ones
with the star.
Page 6
Page 7
Page 8
And breathe………