Yakili | FORM 5 MATHEMATICS

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FORM 5 MATHEMATICS

Form 5
Math

By - Secondary Mathematics Tutor
30 students
166 Hours 40 Min
(0)

Course Requirements

Successful completion of Form 5 Mathematics course.
Basic understanding of algebra, geometry, and trigonometry concepts.
A scientific calculator.
Pencils, eraser, and graph paper.

Course Description

Form 5 Mathematics builds upon the foundation of mathematical concepts learned in previous years. This course delves deeper into algebra, geometry, trigonometry, and introduces new topics like statistics and probability. Students will develop critical thinking and problem-solving skills through a combination of theoretical explanations, practical applications, and problem-solving exercises.

Course Outcomes

By the end of this course, students will be able to:

Solve complex algebraic equations and inequalities.
Apply geometric concepts to solve problems involving area, volume, and transformations.
Utilize trigonometric functions to solve problems related to angles and triangles.
Analyze and interpret data using statistical methods.
Calculate probabilities of events and understand basic probability distributions.
Develop strong problem-solving and critical thinking skills.
Enhance their logical reasoning and analytical abilities.

Course Curriculum

6 chapters
227 lectures
61 quizzes
166 Hours 40 Min total length

Toggle all chapters

1 Third theorem of tangent

7 Min

Third theorem of tangent

2 Third theorem of tangent [Quiz]

N/A

3 Applications Of Volume Generated By Area Between Two Curves

4 Min

4 Applications of volume generated by area between two curves [Quiz]

N/A

5 Calculations On Area Betweeen Two Curves

6 Min

6 Calculations on area betweeen two curves [Quiz]

N/A

7 Calculation on indefinite integrals

2 Min

8 Calculations on indefinite integrals [Quiz]

N/A

9 The Second theorem of Tangents

6 Min

10 The Second theorem of Tangents [Quiz]

N/A

11 Set notation and ordinary english

6 Min

12 Set notation and ordinary english [Quiz]

N/A

13 The first theorem under tangents

4 Min

14 The first theorem under tangents [Quiz]

N/A

15 The third statement on angle properties

6 Min

16 The third statement on angle properties [Quiz]

N/A

17 The unit vector in the direction of a given

4 Min

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

N/A

19 Applications of volume generated by area between two curves

4 Min

Applications of volume generated by area between two curves

20 Calculations Involving Volume Of Revolution About A Line

8 Min

21 Calculations On Indefinite Integrals

2 Min

22 Set Notation And Ordinary English

6 Min

23 The First Theorem Under Tangents

4 Min

24 The Second Theorem of Tangents

6 Min

25 The Third Statement On Angle Properties

6 Min

26 The Second Theorem of Tangents

6 Min

The Second Theorem of Tangents

27 the unit vector in the direction of a given vector

4 Min

the unit vector in the direction of a given vector

28 Cardinality of finite sets

3 Min

29 Subsets

3 Min

30 Intersection and union of sets

3 Min

31 Subsets and Complement of a set

3 Min

32 Equal and Equivalent Sets

3 Min

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

3 Min

34 Venn Diagrams

2 Min

35 indices

3 Min

36 The Power Zero

3 Min

37 Roots

3 Min

38 Negative Indices

3 Min

39 Operations with Indices

4 Min

40 Fractional Indices

3 Min

41 Common Logarithms

3 Min

42 Logarithms

3 Min

43 Operations with Logarithms

3 Min

44 Degree of accuracy (rounding off, rounding down, and rounding up)

4 Min

45 Approximating to a specified number of decimal places

3 Min

46 Approximating to a specified number of significant figures

3 Min

47 Approximation error, absolute error and percentage error

3 Min

48 Maximum and minimum values from a given approximation

3 Min

49 Manipulation of numbers in standard form

4 Min

50 Logarithms

3 Min

51 Simple logarithmic equations

3 Min

52 Surds and surds form

3 Min

53 Surds and surds form

3 Min

54 Surds and surds form

3 Min

55 Calculations that involve surds

3 Min

56 Matrices

5 Min

57 Null, diagonal, and unit matrices

3 Min

58 Equality of matrices

3 Min

59 Square and rectangular matrices

3 Min

60 Addition and subtraction of matrices

3 Min

61 Multiplication of matrices

3 Min

62 The identity matrix

3 Min

63 The transpose of a matrix

3 Min

64 The determinant of a 2-by-2 matrix

4 Min

65 The inverse of a 2-by-2 matrix

4 Min

66 Using inverse matrices to solve equations

3 Min

67 Representing vectors using line segments

2 Min

68 Route and incidence matrices

3 Min

69 Solving simultaneous equations using matrices

3 Min

70 Coordination in two dimensions

3 Min

71 Free and position vectors in the x-y plane

3 Min

72 Expressing vectors using base unit vectors i and j

3 Min

73 Inverse of a vector

2 Min

74 Modulus (magnitude) of a vector

3 Min

75 Direction of a vector

3 Min

76 Addition and subtraction of vectors

3 Min

77 Multiplication of a vector by a scalar

3 Min

78 Changing the base of an logarithm

3 Min

79 Matrices - Columns and rows

4 Min

80 Collinear and orthogonal vectors

3 Min

1 Third theorem of tangent

7 Min

N/A

3 Third theorem of tangent [Quiz]

N/A

4 The third statement on angle properties

6 Min

The third statement on angle properties

N/A

6 The third statement on angle properties [Quiz]

N/A

7 The second statement on angle properties

5 Min

N/A

9 The second statement on angle properties [Quiz]

N/A

10 The first theorem under tangents

4 Min

N/A

12 The first theorem under tangents [Quiz]

N/A

13 The first statement on angle propertiesmp4

5 Min

N/A

15 The first statement on angle propertiesmp4 [Quiz]

N/A

16 Set notation and ordinary english

6 Min

N/A

18 Set notation and ordinary english [Quiz]

N/A

19 Second theorem of tangents

6 Min

N/A

21 Second theorem of tangents [Quiz]

N/A

22 Third theorem of tangent

7 Min

Third theorem of tangent

N/A

24 The Second Theorem of Tangents

6 Min

The Second Theorem of Tangents

25 The first theorem under tangents

4 Min

The first theorem under tangents

N/A

27 Applications of volume generated by area between two curves

4 Min

Applications of volume generated by area between two curves

28 Calculations on area betweeen two curves

6 Min

Calculations on area betweeen two curves

29 Calculations on indefinite integrals

2 Min

Calculations on indefinite integrals

30 Calculations involving volume of revolution about a line

8 Min

Calculations involving volume of revolution about a line

N/A

32 Three Kinds of Numbers

2 Min

33 Number Line

2 Min

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

3 Min

35 Addition Without the Number Line

3 Min

36 Subtraction without the number line

3 Min

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

3 Min

38 Multiplication of directed numbers

3 Min

39 Vulgar fractions

2 Min

40 Order of operations

3 Min

41 Equivalent fractions

3 Min

42 Adding fractions

3 Min

43 Division of directed numbers

3 Min

44 Subtracting fractions

3 Min

45 Multiplication of fractions

5 Min

46 More practice with fractions

5 Min

47 Division of fractions

5 Min

48 Decimal fractions

5 Min

49 Converting fractions

5 Min

50 Adding and subtracting decimals

5 Min

51 Multiplication and division by powers of ten

5 Min

52 Multiplication of decimals

3 Min

53 Division of decimals

3 Min

54 More practice with decimals

3 Min

55 More practice with decimals

3 Min

56 More practice with decimals

3 Min

57 More practice with decimals

3 Min

58 More practice with decimals

3 Min

59 Percentages (percentages and vulgar fractions)

3 Min

60 Percentage relations

3 Min

61 Percentages and decimals

3 Min

62 Profit and loss

3 Min

63 Calculating cost price

3 Min

64 Calculating cost price

3 Min

65 Percentage change

3 Min

66 Simple interest

3 Min

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

3 Min

1 Particular points on a curve.

5 Min

2 Equation of a straight line

5 Min

N/A

4 Point dividing a line segment

5 Min

5 Internal division of a line segment

5 Min

N/A

7 External division of line segment

5 Min

8 Distance between two points

5 Min

N/A

10 Parallel and perpendicular lines

5 Min

11 Graphical solutions of linear simultaneous equations in two unknowns

5 Min

N/A

13 Graphs of quadratic functions

5 Min

14 Gradient of a tangent to a curve at a given point on the curve -Particular points on a curve.

5 Min

N/A

16 Geometrical figures

5 Min

17 Polygons

5 Min

N/A

19 Convex polygons

5 Min

20 Angle properties of polygons

5 Min

N/A

22 Symmetry -Orthogonal (Line) symmetry

5 Min

23 Rotational or point symmetry

5 Min

N/A

25 Properties of triangles, quadrilaterals and circles directly related to their symmetries

5 Min

26 Quadrilaterals

5 Min

N/A

28 Different quadrilaterals

5 Min

29 Areas of quadrilaterals

5 Min

N/A

1 Data collection and representation for grouped and ungrouped data

5 Min

N/A

3 Histogram, frequency polygon

5 Min

4 Measures of central tendency (position) for grouped and ungrouped data ;

5 Min

N/A

6 Cumulative frequency table (increasing and decreasing)

5 Min

7 Cumulative frequency curve (Ogive)

5 Min

N/A

9 Measures of dispersion (spread) : range, inter-quartile range, semi inter quartile range, mean deviation, variance, Standard Deviation

5 Min

N/A

1 Description and revision of vocabularies

5 Min

N/A

3 Probability scale (0 ≤ P(A)≤1)

5 Min

4 Probability space

5 Min

N/A

6 Probability of an event

5 Min

7 Complementary events

5 Min

N/A

9 Compound events

5 Min

10 Mutually exclusive events

5 Min

N/A

12 Independent events

5 Min

13 Conditional probability

5 Min

N/A

15 -Laws of probability

5 Min

16 Tree diagrams

5 Min

N/A

18 Probability in real life situations

5 Min

N/A

1 Cone, cuboids, cylinders, prisms, pyramid, tetrahedron, sphere

5 Min

2 3-dimensional problems

5 Min

N/A

4 Scale drawing

5 Min

5 Calculations involving 3- dimension problems

5 Min

N/A

7 Volume of pyramid and tetrahedron

5 Min

N/A

9 Angle between a line and a plane

5 Min

10 Angle between two lines

5 Min

N/A

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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