Yakili | FORM 3 MATHEMATICS

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FORM 3 MATHEMATICS

Form 3
Math

By - Secondary Mathematics Tutor
8 students
166 Hours 40 Min
(4)

Course Requirements

Regular Attendance and Participation: Actively participate in class discussions, ask questions, and contribute your ideas.
Complete Assignments: Finish assigned homework problems, exercises, and projects on time and to the best of your ability.
Practice Exercises: Diligently complete practice problems to solidify your understanding and develop fluency.
Assessments: Participate in class quizzes, periodic tests, and a final exam to assess your progress and mastery of concepts.
Learning Resources: Utilize the Ministry of Secondary Education approved Form 1 Mathematics textbook and any additional materials provided by the teacher.

Course Description

Welcome to Form 3 Mathematics! Get ready to embark on an exciting adventure in the world of numbers and problem-solving. This course will lay the foundation for your future mathematical endeavors, equipping you with essential skills and knowledge. Through interactive lessons, engaging activities, and practice exercises, you'll develop your logical thinking, computational fluency, and problem-solving abilities.

Course Outcomes

Master the fundamentals: Solidify your understanding of basic arithmetic operations (addition, subtraction, multiplication, division) with whole numbers, decimals, and fractions.
Develop computational fluency: Become proficient in performing calculations accurately and efficiently.
Sharpen your problem-solving skills: Learn to identify patterns, analyze situations, and apply mathematical concepts to solve problems.
Strengthen your logical thinking: Develop your ability to reason logically, draw conclusions based on evidence, and follow multi-step processes.
Embrace estimation: Learn the power of estimation for quick approximations and problem-solving strategies.
Explore measurement: Understand different units of measurement for length, weight, capacity, and time, and perform conversions between units.
Introduction to Algebra: Gain exposure to basic algebraic concepts like variables, expressions, and equations.
Enhance communication skills: Learn to present your mathematical work clearly and concisely using appropriate mathematical language.

Course Curriculum

2 chapters
192 lectures
6 quizzes
166 Hours 40 Min total length

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1 What are numbers/numerals and types

3 Min

What are numbers/numerals and types

2 Numbers(types)

3 Min

Numbers(types)

3 Egyptian Numerals

3 Min

Egyptian Numerals

4 Roman Numerals

3 Min

Roman Numerals

5 What are natural numbers (counting numbers)

2 Min

What are natural numbers (counting numbers)

6 Writing numbers from words to figures

2 Min

Writing numbers from words to figures

7 Writing numbers from figures to word

2 Min

Writing numbers from figures to word

8 Representation of the set of natural numbers

3 Min

Representation of the set of natural numbers

9 Elements in the set of natural numbers

3 Min

Elements in the set of natural numbers

10 Uses of counting numbers

3 Min

Uses of counting numbers

11 Symbols of =, ≠< and >

4 Min

Symbols of =, ≠< and >

12 Powers and exponents

4 Min

Powers and exponents

13 Order of operation in ℕ-Meaning of BODMAS

4 Min

Order of operation in ℕ-Meaning of BODMAS

14 Use of BODMAS in an example 1(BO)

3 Min

Use of BODMAS in an example 1(BO)

15 Use of BODMAS in an example 2(DM)

2 Min

Use of BODMAS in an example 2(DM)

16 Use of BODMAS in an example 3(AS)

2 Min

Use of BODMAS in an example 3(AS)

17 Use of BODMAS in an example 4(BODMAS)

3 Min

Use of BODMAS in an example 4(BODMAS)

18 Operations in ℕ(addition)

2 Min

Operations in ℕ(addition)

19 Operations in ℕ(multiplication)

3 Min

Operations in ℕ(multiplication)

20 Operations in ℕ(zero)

3 Min

Operations in ℕ(zero)

21 Operations in ℕ(division)

3 Min

Operations in ℕ(division)

22 What is a set of integers and its symbol

3 Min

What is a set of integers and its symbol

23 Multiplication and division as inverse operation

3 Min

Multiplication and division as inverse operation

24 Number line of integers and how is read

3 Min

Number line of integers and how is read

25 Real-world examples of integer

4 Min

Real-world examples of integer

26 Subtraction of integers with a number line

3 Min

Subtraction of integers with a number line

27 Addition of integers with a number line

3 Min

Addition of integers with a number line

28 Addition and subtraction of integers

2 Min

Addition and subtraction of integers

29 Adding integers without a number line (additive inverse)

2 Min

Adding integers without a number line (additive inverse)

30 Adding integers without a number line (different signs)

3 Min

Adding integers without a number line (different signs)

31 Adding integers without a number line (same signs)

3 Min

Adding integers without a number line (same signs)

32 Multiplication of integers (same sign)

2 Min

Multiplication of integers (same sign)

33 Multiplication of integers (different sign)

3 Min

Multiplication of integers (different sign)

34 Division of integers (same sign)

3 Min

Division of integers (same sign)

35 Division of integers (different sign)

3 Min

Division of integers (different sign)

36 Multiplication and division of integers

3 Min

Multiplication and division of integers

37 Historical time; 12 hours and 24-hour system

3 Min

Historical time; 12 hours and 24-hour system

38 The time zones in the world

3 Min

The time zones in the world

39 Units of measuring time

2 Min

Units of measuring time

40 Temperature, Units of measuring temperature

3 Min

Temperature, Units of measuring temperature

41 Whole number power (exponential form)

3 Min

Whole number power (exponential form)

42 Laws of indices (n1 =n)

3 Min

Laws of indices (n1 =n)

43 Laws of indices (product rule)

3 Min

Laws of indices (product rule)

44 Laws of indices (power rule)

3 Min

Laws of indices (power rule)

45 Laws of indices (quotient rule)

2 Min

Laws of indices (quotient rule)

46 Negative and zero exponents

5 Min

Negative and zero exponents

47 Estimating and rounding whole numbers

3 Min

Estimating and rounding whole numbers

48 Rounding and estimating decimals (round up)

2 Min

Rounding and estimating decimals (round up)

49 Rounding and estimating decimals (round down)

2 Min

Rounding and estimating decimals (round down)

50 Precision and significant digits

3 Min

Precision and significant digits

51 Scientific notation

3 Min

Scientific notation

52 Square roots

3 Min

Square roots

53 Cube roots

3 Min

Cube roots

54 Elementary sequence

3 Min

Elementary sequence

55 Fibonacci sequence

4 Min

Fibonacci sequence

56 The set of rational numbers and operations (expressed as a rational number)

3 Min

The set of rational numbers and operations (expressed as a rational number)

57 The set of rational numbers and operations (add opposite)

3 Min

The set of rational numbers and operations (add opposite)

58 The set of rational numbers and operations (simplify)

3 Min

The set of rational numbers and operations (simplify)

59 The set of rational numbers and operations (evaluate long division)

4 Min

The set of rational numbers and operations (evaluate long division)

60 Direct variation

3 Min

Direct variation

61 Inverse variation

3 Min

Inverse variation

62 Profit and loss (profit)

2 Min

Profit and loss (profit)

63 Profit and loss (loss)

3 Min

Profit and loss (loss)

64 Problem application (gain or loss percent)

3 Min

Problem application (gain or loss percent)

65 Problem application (simple interest)

3 Min

Problem application (simple interest)

66 Problem application (currency exchange)

3 Min

Problem application (currency exchange)

67 Difference between rational and irrational numbers (real numbers)

3 Min

Difference between rational and irrational numbers (real numbers)

68 Graphing set of numbers on a real number line

3 Min

Graphing set of numbers on a real number line

69 Intervals in R (closed interval)

3 Min

Intervals in R (closed interval)

70 Intervals in R (open interval)

4 Min

Intervals in R (open interval)

71 Half open and half close interval

4 Min

Half open and half close interval

72 Adding and Subtracting integers

3 Min

Adding and Subtracting integers

73 Adding and subtracting integers (associative properties)

4 Min

Adding and subtracting integers (associative properties)

74 Multiplying and Dividing integers

3 Min

Multiplying and Dividing integers

75 Multiplying and dividing integers (rule of BODMAS)

3 Min

Multiplying and dividing integers (rule of BODMAS)

76 Parallel and coplanar lines

2 Min

Parallel and coplanar lines

77 Distance in the coordinate plane

3 Min

Distance in the coordinate plane

78 Mediator - horizontal or vertical distance between two points Angles

3 Min

Mediator - horizontal or vertical distance between two points Angles

79 Supplementary angles

3 Min

Supplementary angles

80 Interior and exterior angles

3 Min

Interior and exterior angles

81 Alternate Interior and Exterior (Z Angles)

3 Min

Alternate Interior and Exterior (Z Angles)

82 Angles at a Point

3 Min

Angles at a Point

83 Angle of a triangle

3 Min

Angle of a triangle

84 Congruent triangle

3 Min

Congruent triangle

85 Side-angle-side postulate

3 Min

Side-angle-side postulate

86 Three Kinds of Numbers

2 Min

Three Kinds of Numbers

87 Number Line

2 Min

Number Line

88 Addition and Subtraction of Directed Numbers (addition on the number line)

3 Min

Addition and Subtraction of Directed Numbers (addition on the number line)

89 Addition and Subtraction of Directed Numbers (subtraction on the number line)

3 Min

Addition and Subtraction of Directed Numbers (subtraction on the number line)

90 Addition Without the Number Line

3 Min

Addition Without the Number Line

91 Subtraction without the number line

3 Min

Subtraction without the number line

92 Multiplication of directed numbers

3 Min

Multiplication of directed numbers

93 Division of directed numbers

3 Min

Division of directed numbers

94 Order of operations

3 Min

Order of operations

95 Vulgar fractions

2 Min

Vulgar fractions

96 Equivalent fractions

3 Min

Equivalent fractions

97 Adding fractions

3 Min

Adding fractions

98 Subtracting fractions

3 Min

Subtracting fractions

99 Multiplication of fractions

5 Min

Multiplication of fractions

100 Division of fractions

5 Min

Division of fractions

101 More practice with fractions

5 Min

More practice with fractions

102 Decimal fractions

5 Min

Decimal fractions

103 Converting fractions

5 Min

Converting fractions

104 Adding and subtracting decimals

5 Min

Adding and subtracting decimals

105 Multiplication and division by powers of ten

5 Min

Multiplication and division by powers of ten

106 Multiplication of decimals

3 Min

Multiplication of decimals

107 Division of decimals

3 Min

Division of decimals

108 More practice with decimals

3 Min

More practice with decimals

109 Percentages (percentages and vulgar fractions)

3 Min

Percentages (percentages and vulgar fractions)

110 Percentages and decimals

3 Min

Percentages and decimals

111 Percentage relations

3 Min

Percentage relations

112 Percentage change

3 Min

Percentage change

113 Profit and loss

3 Min

Profit and loss

114 Calculating cost price

3 Min

Calculating cost price

115 Simple interest

3 Min

Simple interest

116 Finite and infinite sets; universal set, null set, singleton set

3 Min

Finite and infinite sets; universal set, null set, singleton set

117 Cardinality of finite sets

3 Min

Cardinality of finite sets

118 Subsets

3 Min

Subsets

119 Intersection and union of sets

3 Min

Intersection and union of sets

120 Subsets and Complement of a set

3 Min

Subsets and Complement of a set

121 Equal and Equivalent Sets

3 Min

Equal and Equivalent Sets

122 Power set with finite set of cardinality not more than 3

3 Min

Power set with finite set of cardinality not more than 3

123 Venn Diagrams

2 Min

Venn Diagrams

124 indices

3 Min

indices

125 The Power Zero

3 Min

The Power Zero

126 Roots

3 Min

Roots

127 Negative Indices

3 Min

Negative Indices

128 Operations with Indices

4 Min

Operations with Indices

129 Fractional Indices

3 Min

Fractional Indices

130 Logarithms

3 Min

Logarithms

131 Common Logarithms

3 Min

Common Logarithms

132 Operations with Logarithms

3 Min

Operations with Logarithms

1 Introduction to circle theorems

5 Min

Introduction to circle theorems

2 Introduction to Circle theorems [Quiz]

N/A

3 Introduction to Circles and Parts of Circles

4 Min

Introduction to Circles and Parts of Circles

4 Introduction to Circles and Parts of Circles [Quiz]

N/A

5 The Area of a Segment

7 Min

The Area of a Segment

6 The Area of a Segment [Quiz]

N/A

7 The Area of Sector

5 Min

The Area of Sector

8 The Area of Sector [Quiz]

N/A

9 The Circumference of a Circle

6 Min

The Circumference of a Circle

10 The Circumference of a Circle [Quiz]

N/A

11 the unit vector in the direction of a given vector

4 Min

the unit vector in the direction of a given vector

12 The unit vector in the direction of a given vector. [Quiz]

N/A

13 Three Kinds of Numbers

2 Min

14 Number Line

2 Min

15 Addition and Subtraction of Directed Numbers (subtraction on the number line)

3 Min

16 Addition Without the Number Line

3 Min

17 Subtraction without the number line

3 Min

18 Addition and Subtraction of Directed Numbers (addition on the number line)

3 Min

19 Multiplication of directed numbers

3 Min

20 Vulgar fractions

2 Min

21 Order of operations

3 Min

22 Equivalent fractions

3 Min

23 Adding fractions

3 Min

24 Division of directed numbers

3 Min

25 Subtracting fractions

3 Min

26 Multiplication of fractions

5 Min

27 Division of fractions

5 Min

28 Decimal fractions

5 Min

29 More practice with fractions

5 Min

30 Converting fractions

5 Min

31 Adding and subtracting decimals

5 Min

32 Multiplication and division by powers of ten

5 Min

33 Division of decimals

3 Min

34 Multiplication of decimals

3 Min

35 More practice with decimals

3 Min

36 Percentages (percentages and vulgar fractions)

3 Min

37 Percentages (percentages and vulgar fractions)

3 Min

38 Percentage relations

3 Min

39 Percentages and decimals

3 Min

40 Profit and loss

3 Min

41 Calculating cost price

3 Min

42 Percentage change

3 Min

43 Simple interest

3 Min

44 Finite and infinite sets; universal set, null set, singleton set

3 Min

45 Finite and infinite sets; universal set, null set, singleton set

3 Min

46 Cardinality of finite sets

3 Min

47 Subsets

3 Min

48 Intersection and union of sets

3 Min

49 Subsets and Complement of a set

3 Min

50 Equal and Equivalent Sets

3 Min

51 Power set with finite set of cardinality not more than 3

3 Min

52 Venn Diagrams

2 Min

53 indices

3 Min

54 The Power Zero

3 Min

55 41. Roots

3 Min

56 Negative Indices

3 Min

57 Fractional Indices

3 Min

58 Common Logarithms

3 Min

59 Logarithms

3 Min

60 Operations with Logarithms

3 Min

Instructor

Secondary Mathematics Tutor

our secondary mathematics tutor plays a crucial role in helping students grasp complex mathematical concepts, develop problem-solving skills, and build confidence in their abilities.

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