Home Teachers' Resources Mathematics Schemes of Work Form 4, Term 1-3

Mathematics Schemes of Work Form 4, Term 1-3

Looking for free Mathematics Schemes of work using the KLB reference textbook? Download them below at no cost..

Download a pdf and editable copy of the schemes of work here;

Free updated schemes of work for all subjects (Secondary)

Schemes of work for all subjects, free updated downloads

FORM 4 MATHS SCHEMES OF WORK FOR TERM 1-3.

SCHEME OF WORK               FORM  FOUR  MATHEMATICS              TERM  ONE  YEAR 

WK

NO.

L/NO TOPIC / SUBTOPIC LESSON / SPECIFIC

OBJECTIVES

TEACHING / LEARNING

ACTIVITIES

MATERIALS

/

RESOURCES

REFERE-

NCES

   REMARKS
1 1 MATRICES & TRANSFORMA-TIONS

Definition of a transformation.

Reflection in the

y-axis.

By the end of the lesson, the learner should be able to:

 

Define a transformation.

Obtain image of an object  by reflection in the y-axis.

 

Questioning to review position vectors;

Drawing objects and their images on the Cartesian plane;

Inferring the matrix of transformation for

reflection in the y-axis.

Written exercise.

 

 

 

Geo – board,

Graph papers,

mirrors.

 

 

 

KLB  BK IV

Pgs 1-2

 
2 Reflection in the

x-axis.

Obtain image of an object  by reflection in the x-axis. Drawing object and image on the Cartesian plane;

Inferring the matrix of transformation for

reflection in the x-axis.

Written exercise.

 

 

Geo – board,

Graph papers,

mirrors.

KLB  BK IV

Pgs 2 – 3

 
3 Reflection in the

Lines y = x,

y = – x and other lines.

Obtain image of an object by reflection in a given line.

 

Obtain the object given its image and line of reflection.

 

Review equation of a line;

Draw the line y = x;

Reflect an object in the line

y = x;

Infer the matrix of transformation

Written exercise.

 

 

Geo – board,

Graph papers,

mirrors.

KLB  BK IV

Pgs 2-3

 
4 Rotation  matrix.

(positive angle)

Obtain image of an object by rotation through a positive angle.

Obtain the object given its image and  positive rotation angle.

 

Guided discovery;

Worked example;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs 3-4

 
  5 Rotation matrix.

(negative angle)

Obtain image of an object by rotation through a negative angle.

 

Guided discovery;

Worked example;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs 3-4

 
  6 The unit circle. Use the unit circle to identify a transformation represented by a given matrix. Guided discovery;

Worked example;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs 9-13

 
  7 Finding matrix of transformation. Find matrix of transformation given an object and image.

Describe the transformation fully.

Review simultaneous equations and matrix multiplication;

Worked examples;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs 6-8

 
2 1 Enlargement matrix. Identify an enlargement matrix.

Perform operations involving enlargement matrices.

 

Review scale factor and centre of enlargement;

Worked examples;

Written exercise.

 

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  11-12

 
  2 Two successive transformations. Perform two successive transformations. Guided discovery of order of operation;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  16-17

 
  3 Several successive transformations. Perform several successive transformations. Previous exercise review;

Guided discovery of order of operation;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  16-17

 
  4 Combined matrix of transformations. Find combined matrix of several transformations. Previous exercise review;

Guided discovery of order of operation;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs 21-22

 
  5 Inverse of a transformation matrix. Identify the identity matrix.

Determine the inverse of a transformation matrix.

Worked examples using  several methods;

Supervised practice;

Written exercise.

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  24-26

 
  6 Inverse of several transformation matrices. Determine the inverse of several combined transformation matrices. Worked;

Supervised practice;

Written exercise.

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  24-26

 
  7 A.S.F. and determinant of a transformation matrix. State the relation between A.S.F. and determinant of a transformation matrix. Finding area of object, image, ASF;

Guided discovery;

Written exercise.

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  26-27

 
3 1 Shear transformation.

(x-axis invariant)

Identify a shear transformation. (x-axis invariant)

Describe a shear fully.

Drawing object and image under  a shear transformation;

Oral exercise;

Written exercise.

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  28-32

 
  2 Shear transformation.

(y-axis invariant)

Identify a shear transformation. (y-axis invariant)

Describe a shear fully.

Drawing object and image under  a shear transformation;

Oral exercise;

Written exercise.

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  28-31

 
  3 Finding shear matrix. Find shear matrix given the object and image. Worked examples;

Written exercise.

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  31-2

 
  4 One-way stretch.

(x-axis invariant)

Describe a one-way stretch.

(x-axis invariant)

Find the scale factor of a stretch.

Guided discovery;

Worked examples and discussion.

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  32-34

 
  5 One-way stretch.

(y-axis invariant)

Describe a one-way stretch.

(y-axis invariant).

Find the scale factor of a stretch.

Guided discovery;

Worked examples and discussion.

 

Geo – board,

Graph papers.

 

KLB  BK IV

Pgs  32-34

 
  6 Isometric and non-isometric transformation. Classify transformations as either isometric or non-isometric. Review types of transformations;

Probing questions on size and shape of objects and images.

 

  KLB  BK IV

Pg 35

 
  7 Test / mixed exercise.     Past exam papers.    
4 1 STATISTICS II

 

Mean and assumed mean.

(frequency 1)

 

 

Find mean of ungrouped data using an assumed mean.

(frequency 1)

Simple worked examples;

Exposition of method involving an assumed mean;

Written exercise.

 

Calculator. KLB  BK IV

Pgs  38-39

 
  2 Mean and assumed mean.

(frequency > 1)

Find mean of ungrouped data using an assumed mean.

(frequency > 1)

Simple worked examples;

Written exercise.

 

Calculator. KLB  BK IV

Pg 40

 
  3 Mean of grouped data. Find mean of grouped data. Review previous exercise;

Completing table;

Worked examples.

Calculator. KLB  BK IV

Pgs  40-41

 
  4 Mean of grouped data.

(alternative methods)

Find mean of grouped data.

(alternative methods)

Completing table;

Worked examples.

Written exercise.

Calculator. KLB  BK IV

Pgs  40-46

 
  5 Median. Find median of grouped data. Worked examples;

Written exercise.

Calculator. KLB  BK IV

Pgs  46-7

 
  6 Quartiles. Find upper and lower quartiles. Exposition;

Worked examples;

Written exercise.

Calculator. KLB  BK IV

Pgs  47-8

 
  7 Deciles and Percentiles. Define a decile and percentile.

Find nth decile / percentile.

Exposition;

Worked examples;

Written exercise.

Calculator. KLB  BK IV

Pgs  47-8

 
5 1 Cumulative frequency curve. Draw a cumulative frequency curve. Q/A to review upper and lower limits of class boundaries;

Complete a table by finding cumulative totals;

Draw an ogive.

 

Calculator,  graph papers. KLB  BK IV

Pgs  38-40

 
  2 Median and quartiles from an ogive. Estimate median and quartiles from an ogive. Probing questions to make inferences from an ogive.

 

Calculator, graph papers. KLB  BK IV

Pgs  48-50

 
  3 Deciles and percentiles from an ogive. Estimate deciles and percentiles from an ogive. Probing questions to make inferences from an ogive.

 

Calculator,  graph papers. KLB  BK IV

Pgs  53-55

 
  4 Range, inter-quartile range and quartile deviation. Find range and inter-quartile range of a set of data. Exposition and oral exercise. Calculator. KLB  BK IV

Pgs  55-56

 
  5 Mean absolute deviation. Determine mean absolute deviation. Exposition;

Worked examples.

Calculator. KLB  BK IV

Pgs  56-7

 
  6 Variance. Define variance.

Determine variance of a set of data.

Exposition;

Worked examples.

Calculator. KLB  BK IV

Pgs  57-59

 
  7 Standard deviation. Determine standard deviation of a set of data. Exposition;

Worked examples;

Written exercise.

Calculator. KLB  BK IV

Pgs  59-60

 
6 1-4 Formulae for standard deviation. Use various methods of finding std deviation. Exposition;

Worked examples;

Written exercise.

Calculator. KLB  BK IV

Pgs 60-3

 
  5 LOCI

 

Definition of a locus.

 

 

Define locus of a point.

 

 

Illustrative examples;

Exposition of meaning of locus of a point.

 

 

 

Door, clock, see saw, etc.

KLB  BK IV

Pgs  66-7

 
  6 Sketching locus of a point. Sketch locus of a point. Oral exercise;

Supervised practice;

Written exercise.

  KLB  BK IV

Pgs  67-8

 
  7 Perpendicular bisector locus.

(two dimensions)

Describe perpendicular bisector locus.

(two dimensions)

Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pgs  68-9

 
7 1 Perpendicular bisector locus.

(three dimensions)

Describe perpendicular bisector locus.

(three dimensions)

Geometrical construction;

Guided discovery;

Supervised practice;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 69

 
  2 Locus of points at a given distance from a fixed point.

(two dim)

Describe locus of points at a given distance from a fixed point. Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 70

 
  3 Locus of points at a given distance from a fixed point.

(three dim)

Describe locus of points at a given distance from a fixed point. Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 71

 
  4 Locus of points at a given distance from a line.

(two dim)

Describe locus of points at a given distance from a fixed point. Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 69

 
  5 Locus of points at a given distance from a line.

(three dim)

Describe locus of points at a given distance from a fixed point. Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 70

 
  6 Angle bisector locus. Construct the angle bisector locus. Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 70

 
  7 Constant angle locus. Construct constant angle locus. Probing questions to review angle properties of a circle;

Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pgs 72-4

 
8 1 Constant angle locus.

(contd)

Construct constant angle locus. Probing questions to review previous exercise;

Geometrical construction;

Guided discovery;

Written exercise.

Geometrical sets. KLB  BK IV

Pgs 72-4

 
  2 Intersecting loci involving lines and angles. Construct intersecting loci involving lines and angles. Geometrical construction;

Supervised practice;

Written exercise.

Geometrical sets. KLB  BK IV

Pgs 72-4

 
  3 Circumcircle locus. Construct a circumcircle. Geometrical construction;

Supervised practice;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 78

 
  4 In-circle locus. Construct an in-circle locus. Geometrical construction;

Supervised practice;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 78

 
  5 Ex-circle locus. Construct an ex-circle locus. Geometrical construction;

Supervised practice;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 78

 
  6 Intersecting loci in plane figures. Construct intersecting loci in plane figures. Problem solving. Geometrical sets. KLB  BK IV

Pgs  79-81

 
  7 Loci of inequalities. Draw locus of points that satisfy various inequalities. Q/A to review simple and compound inequalities;

Worked examples;

Written exercise.

Geometrical sets. KLB  BK IV

Pgs 81-2

 
9 1 Loci of inequalities.

(contd)

Draw locus of points that satisfy various inequalities. Review previous exercise;

Further worked examples;

Written exercise.

Geometrical sets. KLB  BK IV

Pg 83

 
  2 Locus involving chords. Construct locus involving chords. Worked examples;

Written exercise.

 

Geometrical sets. KLB  BK IV

Pgs 96-97

 
  3 TRIGONOMETRY

III

 

Some trigonometric ratios.

 

 

 

Rearrange

trigonometric expressions.

 

 

 

 

Exposition and worked examples;

Written exercise.

 

 

 

 

 

Geometrical sets.

 

 

 

 

 

KLB  BK IV

Pgs 90-91

 
  4 Trigonometric identities. Prove some trigonometric identities. Problem solving. Geometrical sets. KLB  BK IV

Pgs 100-1

 
  5 Period and amplitude of waves. Determine period and amplitude of waves. Exposition and worked examples. Geometrical sets. KLB  BK IV

94-5

 
  6 Tables for trigonometric functions. Complete tables for trigonometric functions.

 

Exposition and worked examples. Calculator.

 

KLB  BK IV

Pgs 96-7

 
  7 Graphs for trig. functions. Plot graphs for trigonometric functions.

 

Drawing graphs; supervised practice; make inferences from the graphs. Geometrical sets, graph papers. KLB  BK IV

Pgs 96-7

 
10 1 Further graphs for trig. functions. Plot graphs for trigonometric functions.

 

Drawing graphs; supervised practice; make inferences from the graphs. Geometrical sets, graph papers. KLB  BK IV

Pgs 96-7

 
  2 Transformations of waves. Describe some transformations of waves. Supervised practice;

Exposition and worked examples;

Written exercise.

Geometrical sets, graph papers. KLB  BK IV

Pgs 96-97

 
  3 Waves with a phase angle.

(positive)

Determine the phase angle (positive) for two waves. Guided discovery;

Written exercise.

Geometrical sets, graph papers. KLB  BK IV

Pgs 97-8

 
  4 Waves with a phase angle.

(negative)

Determine the phase angle (negative) for two waves. Guided discovery;

Written exercise.

Geometrical sets, graph papers. KLB  BK IV

Pgs 97-8

 
  5 Trigonometric equations. Solve trigonometric equations. Q/A to review trig. ratios for complementary angles;

Worked examples;

Supervised practice;

Written exercise.

Geometrical sets, graph papers. KLB  BK IV

Pgs 100-3

 
  6 Further trig. equations. Solve trigonometric equations. Exercise review;

Problem solving.

Geometrical sets, graph papers. KLB  BK IV

Pgs 100-3

 
  7 Graph of a trig. function and a line. Draw the graph of a trig. function and a line to solve an equation. Worked examples;

Supervised practice;

Written exercise.

Geometrical sets, graph papers. KLB  BK IV

Pgs 100-3

 
11 1 Graphs of two trig. functions. Draw graphs of two trig. functions to solve some equations. Worked examples;

Supervised practice;

Written exercise.

Geometrical sets, graph papers. KLB  BK IV

Pgs 100-3

 
  2 THREE DIMENSIONAL GEOMETRY

 

Dimensions of figures.

 

 

 

State the dimensions of figures.

Identify faces, edges, and vertices of common figures.

 

 

 

 

Probing questions;

Oral exercise.

 

 

 

Common planes and solids.

 

 

 

 

KLB  BK IV

Pgs 104-6

 
  3 Angle between a line and a plane. Identify the angle between a line and a plane. Exposition;

Oral exercise.

Cuboid wire mesh. KLB  BK IV

Pgs 106-7

 
  4 Finding the angle between a line and a plane. Find the angle between a line and a plane. Guided discovery;

Worked examples;

Written exercise.

 

Models of solids. KLB  BK IV

Pgs 107-113

 
  5 Finding the angle between a line and a plane.

(contd)

Find the angle between a line and a plane. Problem solving. Models of solids. KLB  BK IV

Pgs 107-113

 
  6 Angle between two planes. Identify the angle between two planes. Q/A counting planes;

Exposition.

 

 

 

Models of solids. KLB  BK IV

Pgs 113-118

 
  7 Angle between two planes.

(contd)

Find the angle between two planes. Exposition;

Guided discovery;

Worked examples;

Written exercise.

 

 

Models of solids. KLB  BK IV

Pgs 113-118

 
12

13

  END  OF  TERM  EXAMS  

 

 

 

 

 

 

 

 

  SCHEME OF WORK            FORM  FOUR  MATHEMATICS             TERM  TWO  YEAR 
  1 1 Angle between two planes.

(contd)

Find the angle between two planes. Problem solving. Models of solids. KLB  BK IV

Pgs 113-118

   
    2 Length between two points in three dimensions. Determine length between two points in three dimensions. Supervised practice,

Problem solving.

Models of solids. KLB  BK IV

Pgs 119-124

   
    3 Length between two points on  nets of solids. Determine length between two points on nets of solids. Making nets of solids;

Supervised practice,

Problem solving.

Manilla off-cuts, scissors/ Models of solids. KLB  BK IV

Pg 118

   
    4 Angle between skew lines. Find the angle between skew lines. Exposition;

Guided discovery;

Worked examples;

Written exercise

Models of solids. KLB  BK IV

Pgs  142-8

   
   

 

5 LONGITUDES AND LATITUDES

 

Great and small circles

 

 

 

Identify great and small circles from on a globe.

 

 

Probing questions;

Oral exercise.

Globe, atlas. KLB  BK IV

Pgs  125-7

   
   

 

 

 

 

 

 

6 Difference in longitudes and latitudes. Find the difference in longitudes and latitudes. Probing questions;

Oral exercise.

 

 

Wire globe. KLB  BK IV

Pgs  128-9, 131-141

   
    7 Distance along a great circle.

(in nm)

Calculate the distance along a great circle.

(in nm)

Exposition;

Guided discovery;

Worked examples;

Written exercise

Wire globe, calculator. KLB  BK IV

Pgs 130-3,

131-141

   
  2 1 Distance along a great circle.

(in km)

Calculate the distance along a great circle.

(in nm)

Exposition;

Guided discovery;

Worked examples;

Written exercise

Wire globe, calculator. KLB  BK IV

Pgs 130-3,

131-141

   
    2 Distance along a small circle.

(in nm)

Calculate the distance along a great circle.

(in nm)

Exposition;

Guided discovery;

Worked examples;

Written exercise

Wire globe, calculator. KLB  BK IV

Pgs 130-3,

131-141

   
    3 Distance along a small circle.

(in km)

Calculate the distance along a great circle.

(in nm)

Review previous exercise;

Worked examples;

Written exercise

Wire globe, calculator. KLB  BK IV

Pgs 133-7

   
   

 

 

4 Shortest distance between two points on the earth’s surface. Determine the shortest distance between two points on the earth’s surface. Review previous exercise;

Worked examples;

Written exercise

Wire globe, calculator. KLB  BK IV

Pgs 137-9

   
    5 Longitudes and time. Relate longitudes with local time. Probing questions;

Worked examples;

Written exercise.

Wire globe, calculator. KLB  BK IV

Pgs 141-2

   
    6 Speed (in km/h) Calculate speed given distance and time. Probing questions;

Worked examples;

Written exercise.

Wire globe, calculator. KLB  BK IV

Pgs 142

   
    7 Speed (in knots) Calculate speed given distance in nm and time. Review previous exercise;

Probing questions;

Worked examples;

Written exercise.

Wire globe, calculator. KLB  BK IV

Pgs 142

   
  3 1 LINEAR PROGRAMMING

 

Forming inequalities.

 

 

 

Form inequalities from given situations.

 

 

 

Q/A to review inequalities;

Worked examples;

Written exercise.

 

 

 

 

Graph papers.

 

 

 

 

KLB BK 1V

Pgs 150-1

   
    2 Forming inequalities. Form inequalities from given situations. Review previous exercise.

Problem solving.

 

Graph papers. KLB  BK IV

Pgs 150-1

   
    3 Solutions of linear inequalities. Solve linear inequalities. Probing questions;

Worked examples;

Written exercise.

 

Graph papers. KLB  BK IV

Pgs 151-2

   
    4 Graphs of linear inequalities. Represent situations graphically with inequalities.

 

 

Worked examples;

Supervised practice;

Written exercise.

 

Graph papers. KLB  BK IV

Pgs 188-90

   
    5 Graphs of linear inequalities.

(contd)

Represent situations graphically with inequalities.

 

 

Exercise review;

Supervised practice;

Written exercise.

 

Graph papers. KLB  BK IV

Pgs 188-90

   
    6 Objective function. Formulate the objective function.

 

Probing questions;

Oral exercise.

Graph papers. KLB  BK IV

Pgs 191-4

   
    7 Optimization. Obtain the optimum solution to inequalities. Exposition;

Guided discovery.

Written exercise.

 

Graph papers. KLB  BK IV

Pgs 194-7

   
  4 1 Further Optimization. Obtain the optimum solution to inequalities. Guided discovery.

Written exercise.

 

Graph papers. KLB  BK IV

Pgs 197-201

   
    2 DIFFERENTI–

ATION

 

Average rate of change.

 

 

 

 

 

Define average rate of change.

Determine average rate of change.

 

 

 

 

Filling in a table of values for a curve;

Plotting the curve;

Finding average rate of change.

Written exercise.

 

 

 

Graph papers, calculaors.

 

 

 

 

KLB  BK IV

Pgs 162-3

   
    3 Instantaneous rate of change. Define instantaneous rate of change.

Determine instantaneous rate of change.

 

Drawing a tangent to a curve;

Supervised working;

Written exercise.

 

  KLB  BK IV

Pg 163

   
    4 Gradient of a curve at a point. Find gradient of a curve at a point. Q/A to review gradient of a line;

Exposition of gradient of a curve;

Worked examples.

 

  KLB  BK IV

Pgs 163-4

   
    5 Gradient of a curve.

(first principles)

Determine gradient of a curve.

(first principles)

Exposition;

Probing questions.

  KLB  BK IV

Pgs 164-6

   
    6 Derivative of a function. (first principles) Obtain derivative of a function. (first principles) Exposition;

Probing questions.

  KLB  BK IV

Pgs 167-9

   
    7 Meaning of differentiation. Recall the process of differentiation. Exposition;

Worked examples;

Supervised practice;

Written exercise.

  KLB  BK IV

Pgs 166-7

   
  5 1 Derivative of a polynomial. Differentiate a polynomial. Exposition;

Worked examples;

Supervised practice;

Written exercise.

  KLB  BK IV

Pgs 170-2

   
    2 Derivative of a polynomial with a denominator. Differentiate a polynomial having a denominator. Exposition;

Worked examples;

Supervised practice;

Written exercise.

  KLB  BK IV

Pgs 170-2

   
    3 Derivative of a quadratic function. Differentiate a quadratic function. Exposition;

Worked examples;

Supervised practice;

Written exercise.

  KLB  BK IV

Pgs 170-2

   
    4 Obtaining gradient from gradient function. Obtain gradient from gradient function. Worked examples;

Supervised practice;

Written exercise.

  KLB  BK IV

Pgs 170-2

   
    5 Equation of a tangent to a curve at a point. Find equation of a tangent to a curve at a point. Q/A review gradient function;

Worked examples;

Written exercise.

 

  KLB  BK IV

Pgs 173-4

   
    6 Equation of a normal to a curve at a point. Find equation of a normal to a curve at a point. Q/A review gradient function and gradients of perpendicular lines;

Worked examples;

Supervised practice;

Written exercise.

 

  KLB  BK IV

Pgs 173-4

   
    7 Stationary point ((minimum) Determine minimum point of a curve. Filling in a table of gradients at various points;

Probing questions;

Discussion.

Graph books. KLB  BK IV

Pgs 174-5

   
  6 1 Stationary point ((maximum) Determine maximum point of a curve. Filling in a table of gradients at various points;

Probing questions;

Discussion.

Graph books. KLB  BK IV

Pgs 175-6

   
    2 Stationary point (point of inflexion +ve to +ve)

 

Determine a point of  inflexion on a curve. Filling in a table of gradients at various points;

Probing questions;

Discussion.

Graph books. KLB  BK IV

Pgs 176-7

   
    3 Stationary point (point of inflexion -ve to -ve)

 

Determine a point of  inflexion on a curve. Filling in a table of gradients at various points;

Probing questions;

Discussion.

Graph books. KLB  BK IV

Pgs 176-7

   
    4 Features of a curve. Identify points on a curve.

Identify stationary points of a curve.

Probing questions;

Oral exercise.

Graph books. KLB  BK IV

Pgs 180-1

   
    5 Curve sketching Sketch curves. Supervised practice;

Written exercise.

Graph books. KLB  BK IV

Pgs 180-2

   
    6 Displacement time graphs. Sketch and interpret displacement time graphs. Q/A to review relation between displacement and velocity;

Supervised practice;

Discussion.

  KLB  BK IV

Pgs 182-3

   
    7 Velocity from displacement function. Determine velocity from  a displacement function. Worked examples;

Written exercise.

 

  KLB  BK IV

Pgs 182-3

   
  7 1 Velocity time graphs. Sketch and interpret velocity time graphs. Q/A to review relation between  velocity and acceleration;

Supervised practice;

Discussion.

  KLB  BK IV

Pgs 184-6

   
  2 Acceleration from velocity function. Determine velocity from a displacement function. Worked examples;

Written exercise.

 

  KLB  BK IV

Pgs 184-6

   
  3 Acceleration from displacement function. Determine acceleration from a displacement function. Probing questions;

Worked examples;

Written exercise.

 

  KLB  BK IV

Pgs 184-6

   
  4 Maxima and minima. Apply differentiation to find maxima and minima. Exposition;

Worked examples;

Written exercise.

 

  KLB  BK IV

Pgs 186-9

   
  5 Maxima and minima (contd) Apply differentiation to find maxima and minima. Exercise review;

Problem solving.

  KLB  BK IV

Pgs 186-9

   
  6 INTEGRATION

 

Reverse the process of differentiation.

 

 

Reverse the process of differentiation.

 

 

Probing questions;

Worked examples;

Written exercise.

 

   

 

 

KLB  BK IV

Pgs 207-9

   
  7 Finding  y given gradient function. Find y given gradient function. Probing questions;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pgs 209-12

   
  1 Indefinite integral. Obtain an indefinite integral. Exposition;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pgs 212-6

   
8 1 Definite integral. Obtain a definite integral. Exposition;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pgs 212-6

   
  2 Area bounded by a curve above x-axis. Determine area bounded by a curve and x-axis. Exposition;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pgs 217-8

   
  3 Area bounded by a curve below x-axis. Determine area bounded by a curve and x-axis. Exposition;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pgs 218-9

   
  4 Area bounded by a curve and a line. Determine area bounded by a curve and a straight line. Exposition;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pg 220

   
  5 Displacement from velocity function. Obtain displacement from a velocity function. Probing questions;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pgs 223-4

   
  6 Velocity from acceleration function. Obtain velocity from a acceleration function. Probing questions;

Worked examples;

Written exercise.

 

   

KLB  BK IV

Pgs 223-4

   
  7 Exercise on kinematics. Apply integration and differentiation in kinematics. Exercises review;

Problem solving.

   

KLB  BK IV

Pgs 225-231

   
9 1 AREA APPROXIMATION

 

Trapezium rule.

 

 

 

Derive the trapezium rule.

 

 

 

Divide area under a graph into several trapezia;

Guided derivation of the trapezium rule.

 

 

 

Copies of area under a curve.

 

 

 

 

KLB  BK IV

Pgs 196-7

   
  2 Application of  trapezium rule. Apply trapezium rule in problem solving. Worked examples;

Written exercise.

   

KLB  BK IV

Pgs 197-201

   
  3 Application of  trapezium rule. Apply trapezium rule in problem solving. Written exercise review.

Problem solving.

   

KLB  BK IV

Pgs 197-201

   
  4 The mid-ordinate rule. Derive the mid-ordinate rule. Divide area under a graph into several strips;

Guided derivation of the trapezium rule.

   

KLB  BK IV

Pgs 202-3

   
  5 Application of  mid-ordinate rule. Apply mid-ordinate rule.in problem solving. Worked examples;

Written exercise.

   

KLB  BK IV

Pgs 203-6

   
  6-7 Application of  mid-ordinate rule. Apply mid-ordinate rule in problem solving. Review exercises;

Problem solving.

   

KLB  BK IV

Pgs 203-6

   
10-13   MOCK K.C.S.E EXAM    

 

LEAVE A REPLY

Please enter your comment!
Please enter your name here