maths - sc preparation

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School Certificate Preparation MATHEMATICS Presenter: Mrs J.Bell who would like to acknowledge Mrs L Koot and Nikky Vanderhout for her presentation at the MANSW conference

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Page 1: Maths - SC preparation

School Certificate Preparation

MATHEMATICS

Presenter: Mrs J.Bell who would like to acknowledge Mrs L Koot and

Nikky Vanderhoutfor her presentation at the MANSW conference

Page 2: Maths - SC preparation

School Certificate PreparationMATHEMATICS

Advice From Examiners Read the question TWICE Answer the question that is asked Look at the answer, is it sensible? Give a mathematical answer Use the clues given in the question

Page 3: Maths - SC preparation

SC 2005 Is your answer sensible?

The clues here are that the answer will include 336 and have 2 decimal places.

Q4 pg106

Page 4: Maths - SC preparation

SC 2005: Q8 Answer the question asked...

Obey the question Estimate don’t calculateArea ≈ 3 x 7 x 7 (using 3 as the value for

pi)

Round each number to 1 significant figure

Page 5: Maths - SC preparation

Do What The Question Tells You To Do Q81 b)

Plot and label your coordinates

A (-5,3)

Page 6: Maths - SC preparation

Do What The Question Tells You To Do

AB = 8.5 cm

Page 7: Maths - SC preparation

Look at the value of the answer Q11

If the answer is only worth one mark, don’t write a proof.

m=180-2x30 =120

Page 8: Maths - SC preparation

Put your answer in the correct place

Q14 We notice:

84 /10=8.4

84/9=9.3333

= 7

Page 9: Maths - SC preparation

Put your answer in the correct place

Q25

5

9999900001

Page 10: Maths - SC preparation

Put your answer in the correct place

Q25

59999900001

Page 11: Maths - SC preparation

Bring and Use Geometrical Instruments Q13

Page 12: Maths - SC preparation

Bring and Use Geometrical Instruments

Q82 a)

Page 13: Maths - SC preparation

Words students don’t understand

mean Q18

3+6+9+9+9+10 =4646+?=7 7

?=3 The score added was 3.

Page 14: Maths - SC preparation

Words students don’t understand

Q19 consecutive integer

DB2 = 42 + 52

= 41

DB = √41

which lies between 6 and 7

Page 15: Maths - SC preparation

Concepts which need clarification

Place value: Q9

Q15

5.934+0.076.004

4/10 and 7/10

Answer =0.55

Page 16: Maths - SC preparation

Concepts which need clarification

Pythagoras’ theorem : Q84a students recognise when it is needed, but fail to

apply it correctly

Page 17: Maths - SC preparation

Mental techniques which need re-learning Dividing by a fraction: Q3

5 x 3 = 15 1

Page 18: Maths - SC preparation

Concerns!!! Q21 was poorly done by capable students

Page 19: Maths - SC preparation

Concerns!!! Q21 was poorly done by capable

students

Page 20: Maths - SC preparation

Concerns!!!

Still too many students give only one answer in Q76 – Q80

Page 21: Maths - SC preparation

Concerns!!!

Many capable students fail to get 100% inaccurate work poor allocation of time SECTION 1: 25 marks of free response qns in 30 minutes

(non – calc) SECTION 2: ( 90 minutes calc allowed) A: 50 multiple choice & 5 correct/incorrect qns B: 20 marks free response

Page 22: Maths - SC preparation

General Comments:Section 1

Capable students did not do a particular question well as they had no ruler

Students often omitted a double page of questions –

perhaps turning over 2 pages at once

Page 23: Maths - SC preparation

General Comments:Section 1

Q7: poor understanding of division

Think: “how many 2’s are in 336?”

168

Answer=160

Page 24: Maths - SC preparation

General Comments:Section 1 the last 3 questions

Q23 : less than 50% of candidates did this

correctly successful students used the diagram

Page 25: Maths - SC preparation

General Comments:Section 1 the last 3 questions

Q24 : students had difficulty with the zeroes perhaps they always do these questions on a

calculator many did division

Page 26: Maths - SC preparation

General Comments:Section 1 the last 3 questions

Page 27: Maths - SC preparation

General Comments:Section 1 the last 3 questions

Q25 a construction question

Students didn’t bring geometry instruments many ran out of time little sign of any construction

Page 28: Maths - SC preparation

General Comments:Section 2B

Estimated 4% non-attempts in Section 2B previously 1% students seem to have spent too much time on

the multiple choice questions

Recommendation: Advise students to complete the written parts before doing the multiple choice questions

Page 29: Maths - SC preparation

General Comments:Section 2B

Many students answered only Q81a and Q83a

In follow-on questions, many students fail to see the connection between the information found in earlier parts and the part they are answering

Many students do not show working in the 2 and 3 mark questions

Students receive 0 if you ‘hedge your bets’ so ensure ONE ANSWER ONLY

Recommendations: For multi-part questions, use the hints given in the

previous parts Show all working in multi-mark questions

Page 30: Maths - SC preparation

General Comments:Section 2B

Many students scored full marks in Section 2B

Capable students frequently lost marks through careless errors or errors in rounding

Frequent errors are made because students do not read the question accurately

Recommendations: Use the value given in a question in subsequent

parts Only round off once, just before giving the final

answer

Page 31: Maths - SC preparation

Specific Comments:Question 81

Page 32: Maths - SC preparation

Specific Comments:Question 81

Many do not know 1 year = 52 weeks

Holiday loading is not understood by most students

There is limited understanding of percentages (most students do not divide by 100)

In part d) students did not understand that the instruction to ‘explain why’ allows the use of

calculations

Page 33: Maths - SC preparation

Specific Comments:Question 83

Page 34: Maths - SC preparation

Specific Comments:Question 83

Part a) – Perimeter is well done but arithmetic isn’t

Part b) – students know when to use Pythagoras’Theorem, but not how to write an accurate solution

Part c) – round too early in the calculation

Part d) – most saw this as a new question, unconnected to

earlier parts

Recommendations: If time permits, check everything on the calculator

Page 35: Maths - SC preparation

Specific Comments:Question 83

most saw this as a new question, unconnected to

earlier parts

Page 36: Maths - SC preparation

Specific Comments:Question 84

Page 37: Maths - SC preparation

Specific Comments:Question 84

Part a) – many cannot label an angle marked the angle of depression, not elevation

Part b) – well done calculators frequently in wrong mode

Part c) – frequently no calculations or ‘made up’ numbers

Recommendation: Expose yourself to as many past paper questions as you can.

Practice makes perfect!

Page 38: Maths - SC preparation

Link to Board of Studies website to SC Exams with solutions