Maths F3 Learning Module Chapter 1

WELCOME TO

Mathematics Form 3

MATHEMATICS CLASS RULES
CFH generate Super A

F Full attention in lesson
A Ask questions
C Complete my works
H Help my friends
S Speak English

✍ Let’s do this : Create a suitable diagram to show

Mathematics class rules in your note book.

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IN MATHEMATICS CLASS…

1 Text book

2 Work book

WHAT DO 3 Two exercise books (Note, Exercise)
YOU NEED? 4 Geometrical Set- Ruler,compassesandprotraktor

5 Calculator

•

6 SMART work

3 LEARNING AREAS & 9 TOPICS

✍ Let’s do this : Create a suitable diagram to show

the content above in your note book.

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TOPIC 1 INDICES

✍ Let’s continue to lesson notes and exercise.

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Mathematics Form 3A
Date : 21.03.2022 (Monday)
Time : 7.30 - 8.30 am
Chapter 1 Lesson 1
Content Standard : Index Notation
Learning Standard :

1.1.1 Represent repeated multiplication in index form
1.1.2 Rewrite a number in index form and vice versa.
Lesson Notes
1. Represent repeated multiplication in index form

1

2. Rewrite a number in index form and vice versa.

Exercise today, do in exercise book.
Mind Test 1.1 a, question 2 and 3 (text book page 3)
Mind Test 1.1b, question 1 (text book page 5)
After you have done these exercise,

1. Check exercise according to marking scheme given, Give your score in telegram.
In summary,
All you have done at the end of lesson today…

1. Draw a diagram to list Mathematics class rules. (in note book)
2. Draw another diagram to list 3 learning areas and 9 learning topics. (in note book)
3. Learn :

3.1 How to represent repeated multiplication in index form
3.2 Rewrite a number in index form and vice versa.
Remarks : You can copy the notes given into note book or you can print and paste on note book)
4. Do Mind Test 1.1 a, question 2 and 3 (text book page 3)
5. Do Mind Test 1.1b, question 1 (text book page 5)
6. Give your score of Mind Test 1.1a & Minda Test 1.1b in telegram poll

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Answer from Chrisandrea 3A 2021 1

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Score question 3 : 8 marks Write your score

Marking scheme : here. Circle your
marks
Question 2 : 6 marks
Question 3 : 8 marks

Bonus Skor Checked by,

Title of exercise : 1 mark Student’s signature
Date :
Date : 1 mark

Total score = 16 marks

Answer from Chrisandrea 3A 2021 1

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Score question 1 : 14 marks Write your score

Marking scheme : here. Circle your
marks
Question 1 : 14 marks

Bonus Skor
Checked by,
Title of exercise : 1 mark
Student’s signature
Date : 1 mark Date :

Total score = 16 marks

Mathematics Form 3A
Date : 24.03.2022 (Thursday) Time : 8.30 – 9.40 am
Chapter 1 Lesson 2
Content Standard : Index Notation
Learning Standard :
1.2.1 Relate the multiplication of numbers in index form with the same base, to repeated multiplications, and

hence make generalization.
Notes : 1. Multiplication of index with the same base.

2. Simplify a number or an algebraic term in index form with different bases

Exercises:
Mind Test 1.2a, question 1 (text book page 7)
Mind Test 1.2b, question 1 (text book page 8)

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Answer from Chrisandrea 3A 24.03.2022

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1 Write your score
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here. Circle your
Score question 1 : 20 marks marks
Marking scheme :

Question 1 : 20 marks
Checked by,
Bonus Skor Student’s signature
Date :
Title of exercise : 1 mark

Date : 1 mark

Total score = 22 marks

Answer from Chrisandrea 3A 24.03.2022

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Score question 1 : 10 marks Write your score

Marking scheme : here. Circle your
marks
Question 1 : 8 marks
Checked by,
Bonus Skor
Student’s signature
Title of exercise : 1 mark Date :

Date : 1 mark

Total score = 10 marks

Mathematics Form 3A
Date : 25.03.2022 (Friday) Time : 10.00 – 11.30 am
Chapter 1 Lesson 3
Content Standard : Index Notation
Learning Standard :
1.2.2 Relate the division of numbers in index form with the same base, to repeated multiplications, and hence
make generalisation.
1.2.3 Relate the numbers in index form raised to a power, to repeated multiplication, and hence make
generalisation.
Notes : 1. Division of index

1

2. Raised power of index
mn = m x n

Exercises :
Mind Test 1.2c, question 1,2,3 (text book page 10)
Mind Test 1.2d, question 1 (text book page 12)

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Answer from Chrisandrea 3A 25.03.2022  1

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Score question 1 : 12 marks

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Score question 2 : 8 marks

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Score question 3 : 4 marks 1
Marking scheme :
Write your score
Question 1 : 24 marks
here. Circle your
Bonus Skor marks

Title of exercise : 1 mark

Date : 1 mark Checked by,

Total score = 26 marks Student’s signature
Date :

Answer from Chrisandrea 3A 25.03.2022  1

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Date :
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Score question 1 : 16 marks

Marking scheme :

Question 1 : 16 marks

Bonus Score

Title of exercise : 1 mark

Date : 1 mark

Total score = 18 marks

Mathematics Form 3A
Date : 28.03.2022 (Monday)
Time : 7.30 - 8.30 am

Chapter 1 Lesson 4

Content Standard : Law of Indices

Learning Standard : Verify that 0 = 1 and − = 1 ; ≠ 0.


Success Criterion : 26 students can solve 20 questions related to law of indices.

Notes In general,

Text book
page 15&16

Exercises :
Mind Test 1.2f, questions 1,2,3 ( questions highlighted in yellow only, text book page 16)

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Answer from Chrisandrea 3A 28.03.2022  1

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Score question 1 : 11 marks
=(3 )4 1

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(o) ( 1 −5

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= (2x)5  1

28.03.2022
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Score question 1 : 6 marks

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Score question 3 : 12 marks

Score question 1, 2 & 3: 29 marks Write your score
Marking scheme :
here. Circle your
Bonus score.

Title of exercise : 1 mark

Date : 1 mark Checked by,

Total score = 31 marks Student’s signature
Date :

Mathematics Form 3A
Date : 31.03.2022 (Thursday)
Time : 8.30 - 9.30 am

Chapter 1 Lesson 5

Content Standard : Law of Indices
Learning Standard : 1.2.5 Determine and state the relationship between fractional indices and roots and

powers.

NOTES 1.2.5 Fractional Indices c)
a) b)

Exercises :

Mind test 1.2 g questions 1, 2 and 3 (textbook page 18)
Mind test 1.2 i question 2 (textbook page 20)

Answer from Chrisandrea 3A 31.03.2022  1

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Score question1 : 4 marks

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Score question 2 : 4 marks

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Score question 3 : 8 marks Write your score
here. Circle your
Marking scheme : score.

Checked by,
Question : 16 marks
Student’s signature
Bonus : Date :

Title of exercise : 1 mark

Date : 1 mark

Total score = 18 marks

Answer from Chrisandrea 3A Date : 31.03.2021  1

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Score question 2 : 14 marks Write your score here.
Marking scheme : Circle your score.

Question : 14 marks Checked by,

Bonus : Student’s signature
Date :
Title of exercise : 1 mark

Date : 1 mark

Total score = 16 marks

OR

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4 1 2 4  1 3 1 1 1

5 1 2 1 5 1 3 1
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(a) 9 81 81 = 92 81 81
99 1
3 81 81 = 811
39 1
33 812 = 6561
81 = 34 81 = 6561½
1 81 = 2√65611

243 = 35, 81 = 34, 27 = 33, 81 = 34,
(33) x/3 = 34,
(35)4/x = 34 3 x = 4
5x4 =4
3

x=4
x=5 81 = 274/3

81 = 2434/5

(b) 125 125 625 = 54 125 = 53
(54)X/4 = 53
25 = 52 125 = 53 1 4 x = 3
(52)3/x = 53 125 = 1251
2x3 =3 4

x=3
125 = 6253/4
x=2
125 = 253/2 5 125
5 25
1252 = 15626 3125 = 55 125 = 53 55

125 = 15626 ½ (55)3/x = 53 1 125 = 53
125 = 2√15626 1 5x3 =3



x=5

125 = 31253/5

Score question 2 : 14 marks

Marking scheme : Write your score here.
Circle your score.
Question : 14 marks
Checked by,
Bonus :
Student’s signature
Title of exercise : 1 mark Date :

Date : 1 mark

Total score = 16 marks

Mathematics Form 3A
Date : 01.04.2022 (Friday)
Time : 10.00 - 11.30 am

Chapter 1 Lesson 6

Content Standard : Law of Indices
Learning Standard : 1.2.6 Perform operations involving laws of indices.

1.2.7 Solve problems involving laws of indices.

NOTES Recall :

Exercises :

Test Yourself questions 3 (textbook page 25)
Skill Enhancement question 3 (textbook page 25)

Chapter 1 Date : 01.04.2022 1

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(a) 26 ÷ 2x = 8 (b) 3– 4 × 81 = 3x (c) ax a8 = 1

26 ÷ 2x = 23  1 3– 4 × 34 = 3x  1 ax a8 = a0  1
6–x=3 1 –4+4=x 1
ax a8 = a0
–x =3–6 0=x
–x =–3 x+8=0 1
x=0 1 x=–8 1
x =3 1
(e) (ax )2 × a5 = a3x (f) 2x = 210
(d) 4 × 8x + 1 = 22x 16
22 × (23)x + 1 = 22x a2x × a5 = a3x
2x = 210 1
22 × 23x + 3 = 22x  1 a2x + 5 = a3x  1 24
2 + 3x + 3 = 2x  1 2x + 5 = 3x  1 x = 10 – 4x  1

3x – 2x = – 5 2x – 3x = 5 x + 4x = 10
–x = –5
x= –5 1 5x = 10
x=5 1
(g) 36 ÷ 3x = 81(x – 1) x=2 1
36 – x = 34(x – 1)
(h) (m2)x × m(x + 1) = m–2 (i) 25x ÷ 125 = 1
36 – x = 34x – 4  1 52x ÷ 5
m2x × m(x + 1) = m–2 1 53 = 5–x  1
6 – x = 4x – 4 2x + x + 1 = –2  1
– x – 4x = – 4 – 6 52x – 3 = 5–x
3x = –2 – 1
– 5x = – 10  1 2x – 3 = –x  1
x=2 1 3x = –3
2x + x = 3
x = –1  1
3x = 3
x=1 1

Score question 3 : 27 marks Write your score here.

Bonus : Circle your score.
Checked by,
Title of exercise : 1 mark
Student’s signature
Date : 1 mark Date :

Total score = 29 marks

Chapter 1

1 Date : 01.04.2022  1

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72 x 5–3 (5–1 x √25)3
= (5–1 x 5)3
= 72 x 1 = (5–1+1)3
53 = (50)3

72 =1 0x3=0

= 53

Score question 3 : 5 marks Write your score here.

Bonus : Circle your score.
Checked by,
Title of exercise : 1 mark
Student’s signature
Date : 1 mark Date :

Total score = 7 marks