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Integrated mathematics scheme: IMS T2 - National STEM Centre

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2. Use [ill [K] ~ ~ [K] ~ [K] ~ but see question 1.<br />

a a 2 a 3 a 6 a 12<br />

(a) 5·350 (b)<br />

3. (a) 2·1828746<br />

(d) Correct<br />

4. (a) True<br />

(e) Not true<br />

2·252 (c) 1·601<br />

(b) 23·2 (not 232)<br />

(e) Correct<br />

(b) True (c) True<br />

(f) True<br />

(d) 8·064<br />

(c) 0·0387595<br />

(f) Correct<br />

(d) .Not true<br />

E29 A. 1.<br />

2.<br />

3.<br />

B. 1.<br />

3.<br />

C. 1.<br />

3.<br />

4.<br />

5.<br />

6.<br />

7.<br />

(b) They form the x 6 table (c) They are all 6<br />

The patterns continue<br />

No, the 4th differences are all 24, the 3rd differences are the x 24<br />

table<br />

See P28 C. 1<br />

See P28 B. 1,2 and 3<br />

30 (= 1 2 + 2 2 + 3 2 + 4 2 )<br />

36 (= 1 + 8 + 27)<br />

2. (1.1 )7<br />

4. Between 7 and 8 years<br />

2. 55,91,140,204<br />

100 (=1 3 +2 3 +3 3 +4 3 ) (Note: This also equals (1 +2+3+4)2,<br />

see front cover of the Book A2 or B2.)<br />

The numbers are (2 3 )2 = 64, (3 3 )2 = 729, (4 3 )2 = 4096<br />

x Y is a power function. [ill IxyllliJ ~ gives a b on the display<br />

(a) 1024 (b) 17·576 (c) 0·4096 (d) 3·583<br />

E30 A. See P28 D.<br />

B. See P29 A.<br />

C. See P29 B.<br />

D. See P29 C. 1,2,3<br />

E. The result is am -;- an = a m - n (a) 32 (b) 52 (c) (1·7)4 (d) (2·3)4<br />

Unit 13, page 58<br />

This is a straight unit on careful use of calculator. There are<br />

many possibilities of error and these can usually be avoided<br />

by improving technique. The work is not unrelated to the<br />

beginnings of computer programming which will interest<br />

many children. Once again various calculators will have<br />

different methods of working and this should be discussed<br />

with the class. If someone has a programmable calculator in<br />

class this will have a more subtle way of doing the calcula-<br />

39

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