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Course / Course Details

FORM 5 MATHEMATICS

  • Secondary Mathematics Tutor image

    By - Secondary Mathematics Tutor

  • 27 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
    • 138 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


    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 Equation of a straight line
    5 Min


    23 Point dividing a line segment
    5 Min


    N/A


    25 Internal division of a line segment
    5 Min


    26 External division of line segment
    5 Min


    N/A


    28 Distance between two points
    5 Min


    29 Parallel and perpendicular lines
    5 Min


    30 Graphical solutions of linear simultaneous equations in two unknowns
    5 Min


    31 Graphs of quadratic functions
    5 Min


    32 Gradient of a tangent to a curve at a given point on the curve -Particular points on a curve.
    5 Min


    33 Particular points on a curve.
    5 Min


    34 Third theorem of tangent
    7 Min

    Third theorem of tangent


    35 The Second Theorem of Tangents
    6 Min

    The Second Theorem of Tangents


    36 The first theorem under tangents
    4 Min

    The first theorem under tangents


    N/A


    1 Geometrical figures
    5 Min


    N/A


    3 Polygons
    5 Min


    N/A


    5 Convex polygons
    5 Min


    N/A


    7 Angle properties of polygons
    5 Min


    N/A


    9 Symmetry -Orthogonal (Line) symmetry
    5 Min


    N/A


    11 Rotational or point symmetry
    5 Min


    N/A


    13 Properties of triangles, quadrilaterals and circles directly related to their symmetries
    5 Min


    N/A


    15 Quadrilaterals
    5 Min


    N/A


    17 Different quadrilaterals
    5 Min


    N/A


    19 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


    N/A


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


    N/A


    7 Cumulative frequency table (increasing and decreasing)
    5 Min


    N/A


    9 Cumulative frequency curve (Ogive)
    5 Min


    N/A


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


    N/A


    13 Applications of volume generated by area between two curves
    4 Min

    Applications of volume generated by area between two curves


    14 Calculations on area betweeen two curves
    6 Min

    Calculations on area betweeen two curves


    1 Description and revision of vocabularies
    5 Min


    N/A


    3 Probability scale (0 ≤ P(A)≤1)
    5 Min


    N/A


    5 Probability space
    5 Min


    N/A


    7 Probability of an event
    5 Min


    N/A


    9 Complementary events
    5 Min


    N/A


    11 Compound events
    5 Min


    N/A


    13 Mutually exclusive events
    5 Min


    N/A


    15 Independent events
    5 Min


    N/A


    17 Conditional probability
    5 Min


    N/A


    19 -Laws of probability
    5 Min


    N/A


    21 Tree diagrams
    5 Min


    N/A


    23 Probability in real life situations
    5 Min


    N/A


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


    N/A


    3 3-dimensional problems
    5 Min


    N/A


    5 Scale drawing
    5 Min


    N/A


    7 Calculations involving 3- dimension problems
    5 Min


    N/A


    9 Volume of pyramid and tetrahedron
    5 Min


    N/A


    11 Angle between a line and a plane
    5 Min


    N/A


    13 Angle between two lines
    5 Min


    N/A


    15 Calculations involving volume of revolution about a line
    8 Min

    Calculations involving volume of revolution about a line


    16 Calculations on indefinite integrals
    2 Min

    Calculations on indefinite integrals


    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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