JAM002                  Week 1 – Key

Ratio and Proportion – vocabulary


ratio                             poměr

proportion                   úměra

directly proportional     přímo úměrný

inversely proportional  nepřímo úměrný

quantity                        veličina

magnitude                    velikost

property                      vlastnost

product                        násobek

reciprocal                    převrácená hodnota

numerator                    čitatel

denominator                 jmenovatel

therefore                      tudíž


Section 1 presentation

a) The angle ABC is approximately twice as big as the angle ACB.

b) PR is exactly twice as long as XZ.

c) The area of triangle PQR is exactly four times as big as that of triangle XYZ.

d) The area of rectangle ABCD is approximately twice as big as that of the inscribed semicircle.

e) The diameter of any circle is exactly as long as the diagonal of the inscribed square.

f) The circumference of a circle is approximately three times as long as its diameter.

g) The area of rhombus ABCD is exacly twice as big as that of triangle ABE.

h) The volume of a cylinder is exacly three times as big as the volume of a cone with the same base
and height.

i) The volume of cube A is exactly 27 times as big as that of cube B.


Exercise 8

a) Given

b) Adding 1 to each side, we obtain

c) But

d) Substituting, we obtain

e) Similarly

f) From properties 2 and 3, we have

g) From properties 2 and 4, we have

h) Therefore

i) From properties 2 and 5, we have


Using percentages in statistics

1e, 2b, 3d, 4c, 5a


PROVERBS

1c, 2f, 3a, 4h, 5j, 6i, 7g, 8b, 9d, 10e


1d, 2e, 3a, 4c, 5b