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Course / Course Details

FORM 4 MATHEMATICS

  • Secondary Mathematics Tutor image

    By - Secondary Mathematics Tutor

  • 2 students
  • 166 Hours 40 Min
  • (0)

Course Requirements

All what was done from points, lines, plane figures, angles, metric system form basic knowledge and skills necessary to continue this module on geometry. This module continues with some aspects of vectors and vector geometry. It goes further to simple transformation, the loci and geometrical construction, trigonometry then circle and circle theorems. It ends with then earth as a sphere. This module is within the families of situations: Representations and transformation of plane shapes within the environment. Three categories of actions are involved namely: Perception of the physical environment, production of plane shapes and transformation of the physical environment and determination of measures. 

Course Description

This module will continue to improve upon learners’ understanding and appreciation of pattern, precision and beauty in natural and cultural forms. Learners will also develop the ability to visualize, measure, represent, describe and compare plane figures in the environment, use vector methods to solve problems and associate vectors to people and things in motion, use sine, cosine or tangent in right-angled triangles to determine distances. In addition, learners will develop the sense of order, rigour in working, ability to represent, accuracy and sense of precision and initiation to scientific method in handling life situations. The ability to construct will help learners to be able to represent and interpret the physical environment and also be able to investigate and model situations in the environment. As a result, they will be able to make sensible estimates, verify results, measure accurately, locate positions in real life as well as be alert to the reasonableness of measurements and calculation results.

Critical thinking, creativity and sense of initiative that learners will also develop are attitudes that will contribute to make a citizen autonomous and responsible in carrying out his social roles. 

Course Outcomes

Plane geometry is one of the main parts of the Mathematics syllabus due to the expected learning outcome. Measuring in general relates directly to the scientific, technological and economic world of the learner. Accurate measuring and calculations involving lengths, angles and areas, representations and descriptions are an integral part of chemistry, Biology, Physics and other parts of Mathematics. Vectors and trigonometry are used in Physics while transformation, circle are applied in other science subjects. The earth as a sphere shows the application of mathematics to understand nature. Transformation is used by computer and video. 

Course Curriculum

  • 15 chapters
  • 121 lectures
  • 9 quizzes
  • 166 Hours 40 Min total length
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1 Introduction to Circles and Parts of Circles
3 Min

Introduction to Circles and Parts of Circles

2 Introduction To Circle Theorems
5 Min

3 The Unit Vector In The Direction Of A Given Vector
4 Min

4 The Circumference of a Circle
6 Min

5 The Area of Sector
5 Min

6 The Area Of A Segment
7 Min

7 Subtraction of Vectors
4 Min

8 The First Theorem Under Tangents
4 Min

9 The Second Theorem of Tangents
6 Min

10 Third Theorem Of Tangent
7 Min

1 the unit vector in the direction of a given vector
4 Min

2 Multiplication of a vector by a matrix
5 Min

3 Coordinates in 2- dimension
5 Min

4 Collinear and orthogonal vectors
5 Min

5 Position vectors in the x-y plane
5 Min

6 Vectors expressed in terms of unit vectors i and j
5 Min

7 Dot or scalar product of two vectors;
5 Min

8 Angles between two vectors
5 Min

9 Vector geometry
5 Min

10 Mid point theorem
5 Min

11 Proportional division of a vector
5 Min

12 Subtraction of Vectors
4 Min

1 Transformation of a point
5 Min

2 Matrix operator
5 Min

3 Enlargement
5 Min

4 Isometrics transformations (translation, reflection, rotation).
5 Min

5 Shear and stretch in the x- axis and in the y- axis;
5 Min

6 Invariant point, invariant line
5 Min

7 Successive transformation,
5 Min

8 Transformation in real life
5 Min

1 Loci in 2- dimensional plane (description and construction)
5 Min

1 Drawing instruments
5 Min

2 Copy lengths and segments
5 Min

3 Triangles of given dimensions,
5 Min

4 Angle bisector
5 Min

5 Mediator or perpendicular bisector of a line segment
5 Min

6 Special angles (30o and 60o , 90o and 45o)
5 Min

7 Division of a line segment into a given number of congruent sides
5 Min

8 Circum-circle, in- circle
5 Min

9 Parallel lines
5 Min

10 Construct Concentric circles
5 Min

1 Trigonometric ratios for acute angles
5 Min

2 Radian measure
5 Min

3 Trig ratios for angles greater than 90º
5 Min

4 Trigonometric identities
5 Min

5 Trigonometric ratios for Secant, cosecant, cotangent
5 Min

6 Graphs of trigonometric functions: y = sinx, y = cosx, y = tanx, y = asinx, y = acosx, y = atanx where a is a constant and a ≠1,
5 Min

7 Sine and cosine rule
5 Min

8 Angle of elevation, angle of depression in 2 dimensions
5 Min

9 Height of an in accessible object
5 Min

10 Bearings in 2- dimension
5 Min

1 The Circumference of a Circle
6 Min

2 Introduction to Circles and Parts of Circles
3 Min

3 Area of segment
7 Min

4 Circle and associated vocabularies: radius, diameter, circumference, arc, chord, tangent, sector, segment, secant, Centre;
5 Min

5 Area of circle
5 Min

6 Area of sector
5 Min

1 Introduction to circle theorems
5 Min

2 Angle properties;
5 Min

3 Tangent properties
5 Min

4 Cyclic quadrilateral
5 Min

5 -Intersecting chords theorem;
5 Min

6 Concentric circle. -Ring
5 Min

1 Great circle
5 Min

2 Equator
5 Min

3 Meridian
5 Min

4 parallel of latitude
5 Min

5 longitude and time
5 Min

6 GMT and local time
5 Min

7 Position of a place on the surface of the earth
5 Min

8 Angular distance between two points on the earth
5 Min

9 Shortest distance between two points on the earth
5 Min

1 Flow Diagrams
5 Min

2 Types of flow diagrams
5 Min

3 Related vocabularies: Line segment, arc, vertices, endpoints, odd and even vertex, traversable networks,
5 Min

1 -Graphs in real life
5 Min

2 Types of graphs (null graphs, complete graphs, directed graphs, mixed graphs, weighted graphs)
5 Min

3 Properties of graphs
5 Min

1 Expansion of expressions
5 Min

2 Factorisation of expressions
5 Min

3 Quadratic expressions
5 Min

4 Quadratic identities
5 Min

5 Perfect squares
5 Min

6 Completing the square
5 Min

7 Solution of quadratic equations by completing the squares
N/A

8 The quadratic formula
5 Min

9 Quadratic identities
5 Min

10 Word problems leading to quadratic equations and their solutions
5 Min

11 Polynomials -Factor and remainder theorem
5 Min

1 linear inequalities in one unknown
5 Min

2 Solution of an inequality on the real number line
5 Min

3 Interval notations (opened, closed interval)
5 Min

4 Absolute and conditional inequalities
5 Min

5 Inequalities of the form a ≤ mx ±c
5 Min

6 Quadratic in-equations
5 Min

7 Graphical representation of linear inequality in two unknown
5 Min

8 Graphical solution of linear simultaneous equations and inequalities
5 Min

9 Nature of roots
5 Min

10 Graphs of quadratic functions
5 Min

11 Graphical solution of quadratic equations;
5 Min

1 Simple number patterns
5 Min

2 Sequences
5 Min

3 Terms of a sequence, the nth term of a sequence and its notation;
5 Min

1 Arithmetic (sequence) progression (AP),
5 Min

N/A

3 Arithmetic mean
5 Min

N/A

5 Sum of the first n terms of an AP
5 Min

N/A

7 Geometric progression (GP)
5 Min

N/A

9 Geometric mean
5 Min

N/A

11 Finite series
5 Min

N/A

13 Sum of the first n terms of a GP
5 Min

N/A

15 Application of sequences to real life situations
5 Min

N/A

17 Application of sequences to solve real life problems.
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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FCFA3,500.00

  • Duration 166 Hours 40 Min

  • Lectures 121 lessons

  • Enrolled 2 students

  • Category: Form 4

  • 9 Quizzes

  • Language: English

  • Skill Level SECONDARY

  • Certificate of Completion

  • Full lifetime access

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