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Grade 8 Mathematics Online Learning April 2020 · 3 | Page AL FALAAH COLLEGE – GR 8 MATH Date: 2...

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1 | Page AL FALAAH COLLEGE GR 8 MATH Grade 8 Compiled by Dr R Singh March 2020
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Page 1: Grade 8 Mathematics Online Learning April 2020 · 3 | Page AL FALAAH COLLEGE – GR 8 MATH Date: 2 April 2020 - Complete Worksheet 2, 3, 4 and 5 Worksheet 2 Marking guidelines will

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AL FALAAH COLLEGE – GR 8 MATH

Grade 8 Compiled by Dr R Singh

March 2020

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AL FALAAH COLLEGE – GR 8 MATH

Grade 8 Mathematics Online Learning.

Date: 1 April 2020

1. Kindly watch the following video on Multiplication of polynomials – distributive law https://youtu.be/v-6MShC82ow and complete the worksheets below.

Marking guidelines will be made available the on the next day.

2. Complete Worksheet 1

1) -5(9 - 8c) + 3c

2) 2( -9m + 6)

3) 4(7p - 3) + 2p

4) 9 + 7( -4n + 8)

5) 4( -7 + 2x) - 3

6) 6( -4 - 9y)

7) 6 + 5( -4 - 3s)

8) -8( -9 + 5g)

9) 5(6d + 8)

10) -4(7w + 2)

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AL FALAAH COLLEGE – GR 8 MATH

Date: 2 April 2020 - Complete Worksheet 2, 3, 4 and 5

Worksheet 2 Marking guidelines will be made available the on the next day.

1) 10r + 16( -19 - 12r)

2) -13(18x + 11)

3) -15(10 - 16s)

4) -13(15 + 10y)

5) 16( -11p + 10)

6) -18(19 + 13z)

7) -13(12 + 16c) + 15

8) -16( -13 + 14x) + 11x

9) -15(11x - 18) - 13

10) -13(17d - 10) + 11d

Worksheet 3 Marking guidelines will be made available the on the next day.

1) 11( -9 - 7m)

2) 4 + 16( -15 - 3n)

3) -2(11 - 8w)

4) 18(9q + 16)

5) 13( -5 - 9h)

6) -13z - 6( -14 + 11z)

7) -8c - 13( -19c + 14)

8) 5(10g - 2) - 9g

9) 11( -6b - 7)

10) -5(3n + 15) – 2

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AL FALAAH COLLEGE – GR 8 MATH

Worksheet 4 Marking guidelines will be made available the on the next day.

Worksheet 5 Marking guidelines will be made available the on the next day.

Multiply and simplify:

1. 2𝑥(3𝑥2 + 𝑥 − 1)

2. −5𝑥(𝑥 + 1) − 3(𝑥2 + 1)

3. (𝑥 − 3)(𝑥 + 2) + (−2𝑥 + 5)(𝑥 − 1)

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AL FALAAH COLLEGE – GR 8 MATH

Date: 6 April 2020

1. Kindly watch the following video on Division of polynomials by monomial: https://youtu.be/uERRlY-WmmU and complete the worksheets below.

2. Complete: Worksheet 6

Worksheet 6 Marking guidelines will be made available the on the next day.

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AL FALAAH COLLEGE – GR 8 MATH

Date: 7 April 2020

Worksheet 7 Marking guidelines will be made available the on the next day.

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AL FALAAH COLLEGE – GR 8 MATH

Date: 8 April 2020

Watch the following videos:

Video 3 – Straight lines and per perpendicular lines

https://youtu.be/DGKwdHMiqCg

Video 4 – Parallel Lines https://youtu.be/kYPaMySysUs

Video 5 – Triangles https://youtu.be/mLeNaZcy-hE

Date: 9 April 2020 Marking guidelines will be made available the on the next day.

Complete geometry tutorial on Terminology

1. Name the marked angles:

a) b)

c) d)

Terminology

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AL FALAAH COLLEGE – GR 8 MATH

2. On the diagrams above mark the following angles a) SPE ˆ b) HXT ˆ c) 1Z d) 3O 3. Complete the following statements:

a) The complement of 80º is …………….. b) The supplement of 65º is …………….. c) An angle less than 90º is called a(n) …………… angle. d) When lines are parallel co-interior angles are …………….. e) The hour hand of a clock turns through ……… degrees in 5

hours. f) Two angles that have a common arm and a common vertex

are called __________ angles. g) The complement of 2x is _______________ h) Angles between 180° and 360° are called ________________ i) The sum of two acute angles is always less than __________ j) Supplementary angles add up to _____________ k) An angle of 360° is called ________________________ l) If a wheel has 24 spokes, the angle between any two

adjacent spokes is ______________ m) Angles which add up to 90° are called ___________ angles. n) An equilateral triangle has each angle equal to ________

degrees. o) A triangle with no equal sides is called _______________. p) The supplement of 40° is _______________. q) The complement of 50° – x is _______________. r) If two parallel lines are cut by a transversal, the co-interior

angles are … s) The sum of the interior angles of a triangle is ………….. t) If two lines intersect, then the vertically opposite angles are

…………… u) 35° and 55° are called ……………………. angles.

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AL FALAAH COLLEGE – GR 8 MATH

a b

c

d

e

f g

v) The complement of 65q is ______________ w) An angle between 90º and 180º is called ______________ x) The supplement of 90º + x is equal to ________________ y) The side opposite the 90º angle in a right angled triangle

is called the z) The exterior angle of a triangle is equal to _____________

4. Answer true or false – if false, give a correct statement: a) Vertically opposite angles are adjacent to each other. b) The complement of 45° is 90°.

c) The sum of the angles of a quadrilateral is 360°. d) A revolution is 360°. e) The supplement of 2x is 180° – 2x.

f) A triangle can have two obtuse angles. g) Obtuse angles are bigger than 180°. h) Perpendicular lines meet at 90°. i) Co-interior angles in parallel lines are complementary.

5. Using the diagram write down a pair of

a) complementary angles

b) equal alternate angles c) equal corresponding angles d) adjacent supplementary angles e) supplementary co-interior angles f) vertically opposite angles

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AL FALAAH COLLEGE – GR 8 MATH

P

Q

T

Sa 156°78° b

Date: 14 April 2020 Marking guidelines will be made available the on the next day.

Complete geometry tutorial on Straight lines and points

Given: Therefore we know: Reason:

a = 138° (∠s around pt D)

c = 59° (∠s on str. line LN)

g = 118° (vert. opp. ∠s =)

Find the value of the small letters in each of the following cases through all the remaining exercises:

Straight Lines and Points

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AL FALAAH COLLEGE – GR 8 MATH

32°

dc

M

NA

P

QR

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AL FALAAH COLLEGE – GR 8 MATH

Date: 15 April 2020 Marking guidelines will be made available the on the next day.

Complete geometry tutorial on Parallel Lines

Given: Therefore we know:

Reason:

k = 102° (corr. ∠s, AB // MP)

m = 102° (alt. ∠s, AB // MP)

n = 78° (co-int. ∠s, AB // MP)

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AL FALAAH COLLEGE – GR 8 MATH

A B

C D

E

F G

x

y

z

40°

60°

80°

3g

105°

X Y

Z W

V

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AL FALAAH COLLEGE – GR 8 MATH

x

65q35qC

A

B

Date: 16 April 2020 Marking guidelines will be made available the on the next day.

Complete geometry tutorial on Triangles

Given: Therefore we know:

Reason:

p = 75° (∠ sum of ΔQRN)

q = 100° (ext. ∠ of ΔCDK)

t = 43° (∠s opp. equal sides, AH = AN)

AN = AH (sides opp. equal ∠s, ∠AHN =

∠ANH)

125°

125°

130°

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AL FALAAH COLLEGE – GR 8 MATH

35q

70q

t

G

E F

H I

A

B C D E4 x 3 y

2 yx

2 x + 10 °

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AL FALAAH COLLEGE – GR 8 MATH

A

B

F E

D

H

e d

30°

100°

bf

a

c

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AL FALAAH COLLEGE – GR 8 MATH

30°x

48°yA B

C

D

z EG

F

H

FG//NH//LK

and FN//GM


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