MATHEMATICS NOTES FOR FORM FOUR|| Notes Za Hesabu Form Four

MATHEMATICS NOTES FOR FORM FOUR

Form 4  

 Mathematics Form 4 Syllabus

MATHEMATICS FORM FOUR NOTESform four mathemtics study notes

Notes za Mathematics Form four 4, kidato cha nne

 

 


Mathematics Form 4 Syllabus

  1. Coordinate Geometry Syllabus

    1. Equation of a Line Syllabus
      1. Derive the general equation of a straight line Syllabus
    2. Midpoint of a Line Segment Syllabus
      1. Determine the coordinates of the midpoint of a line segment Syllabus
    3. Distance Between Two Points on a Plane Syllabus
      1. Calculate the distance between two points on a plane Syllabus
    4. Parallel and Perpendicular Lines Syllabus
      1. Compute gradients in order to determine the conditions for any two lines to be parallel Syllabus
      2. Compute gradients in order to determine the conditions for any two lines to be perpendicular Syllabus
      3. Solve problems on parallel and perpendicular lines Syllabus

  2. Area And Perimeter Syllabus

    1. Area of any Triangle Syllabus
      1. Derive the formula for the area of any triangle Syllabus
      2. Apply the formula to find the area of any triangle Syllabus
    2. Area of a Rhombus Syllabus
      1. Derive the formula for finding the area of rhombi in terms of the diagonals. Syllabus
      2. Apply the formula to find the areas of quadrilaterals Syllabus
    3. Perimeter of a Regular Polygon Syllabus
      1. Derive the formula for finding the length of a side of a regular polygon Syllabus
      2. The formula to determine the perimeter of a regular polygon Syllabus
    4. Area of a Regular Polygon Syllabus
      1. Derive the formula for finding the area of a regular polygon Syllabus
      2. Apply the formula to calculate the area of a regular polygon Syllabus
    5. Area of Similar Polygons Syllabus
      1. Find the ratio of areas of similar polygons Syllabus
      2. Solve problems related to ratio for areas of similar polygons Syllabus

  3. Three Dimensional Figures Syllabus

    1. Three Dimensional Figures Syllabus
      1. Classify three dimensional figures Syllabus
      2. List the characteristics of each class Syllabus
    2. Construction of Three Dimensional Figures Syllabus
      1. Construct three dimensional figures Syllabus
    3. Sketching Three Dimensional Figures Syllabus
      1. Sketch three dimensional figures Syllabus
      2. Identify properties of three dimensional figures Syllabus
      3. Find the angle between a line and a plane Syllabus
      4. Calculate the angle between two planes Syllabus
    4. Surface Area of Three Dimensional Objects Syllabus
      1. Derive the formulae for calculating the surface area of prisms, cylinder and pyramids and cone Syllabus
      2. Apply the formulae to calculate the surface area of spheres Syllabus
    5. Volume of Three Dimensional Objects Syllabus
      1. Derive the formulae for calculating volume of prisms, cylinders and pyramids Syllabus
      2. Apply the formulae to calculate the volume of cylinders, pyramids and cones Syllabus

  4. Probability Syllabus

    1. Probability of an Events Syllabus
      1. Determine the probability of an event through experiments Syllabus
      2. Interpret experimental results in relation to real life occurrences Syllabus
      3. Write the formula for finding the probability of an event Syllabus
      4. Apply the formula to calculate the probability of an event Syllabus
    2. Combined Events Syllabus
      1. Perform experiments of two combined events Syllabus
      2. Draw a tree diagram of combined events Syllabus
      3. Find the probability of two combined events using the formula Syllabus
      4. Apply the knowledge of probability to determine the occurrence of events in real life situation Syllabus

  5. Trignometry Syllabus

    1. Trigonometric Ratios Syllabus
      1. Determine the sine, cosine and tangent of an angle measured in the clockwise and anticlockwise directions Syllabus
      2. Apply trigonometric ratios to solve problems in daily life Syllabus
    2. Sine and Cosine Functions Syllabus
      1. Find sines and cosines of angles 0 such that -720°≤ᶿ≥ 720° Syllabus
      2. Draw the graphs of sine and cosine Syllabus
      3. Interpret the graphs of sine and cosine functions Syllabus
    3. Sine and Cosine Rules Syllabus
      1. Derive the sine and cosine rules Syllabus
      2. Apply the sine and cosine rules in solving problems on triangles Syllabus
    4. Compound Angles Syllabus
      1. Apply the compound of angle formulae or sine, cosine and tangent in solving trigonometric problems Syllabus

  6. Vectors Syllabus

    1. Displacement and Positions of Vectors Syllabus
      1. Explain the concept of a vector quantity Syllabus
      2. Distinguish between displacement and position vectors Syllabus
      3. Resolving any vector into I and J components Syllabus
    2. Magnitude and Direction of a Vector Syllabus
      1. Calculate the magnitude and direction of a vector Syllabus
    3. Sum and Difference of Vectors Syllabus
      1. Find the sum of two or more vectors Syllabus
      2. Find the difference of vectors Syllabus
    4. Multiplication of a Vector by a Scalar Syllabus
      1. Multiply a vector by a scalar Syllabus
    5. Application of Vectors Syllabus
      1. Apply vectors in solving simple problems on velocities, displacements and forces Syllabus

  7. Matrices And Transformations Syllabus

    1. Operations on Matrices Syllabus
      1. Explain the concept of a matrix Syllabus
      2. Add matrices of order up to 2 X 2 Syllabus
      3. Subtract matrices of order up to 2 X 2 Syllabus
      4. Multiply a matrix of order 2 X 2 by a scalar Syllabus
      5. Multiply two matrices of order up to 2 X 2 Syllabus
    2. Inverse of a Matrix Syllabus
      1. Calculate the determinant of a 2 X 2 matrix Syllabus
      2. Find the inverse of a 2 X 2 matrix Syllabus
      3. Apply 2 X 2 matrix to solve simultaneous equations Syllabus
    3. Matrices and Transformations Syllabus
      1. Transform any point P(X, Y) into P¹(X¹,Y¹) by pre-multiplying (ᵡᵧ) with a transformation matrix T Syllabus
      2. Apply the matrix to reflect a point P(X, Y ) in the x-axis Syllabus
      3. Apply the matrix to reflect a point P(X, Y) in the Y-Axis Syllabus
      4. Use a matrix operator to rotate any point P( X, Y ) through 90° 180°, 270° and 360° about the Origin Syllabus
      5. Use the enlargement matrix E in enlarging figures Syllabus

  8. Linear Programming Syllabus

    1. Simultaneous Equations Syllabus
      1. Form simultaneous equation from word problems Syllabus
      2. Solve simultaneous equations graphically Syllabus
    2. Inequalities Syllabus
      1. Form linear inequalities in two unknowns from word problems Syllabus
      2. Find the solution set of simultaneous linear inequalities graphically Syllabus
    3. The Objective Function Syllabus
      1. Form an objective function from word problems Syllabus
    4. Maximum and Minimum Values Syllabus
      1. Locate corner points on the feasible region Syllabus
      2. Find the minimum and maximum values using the objective function Syllabus

 

 




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