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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
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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