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Mathematics Schemes of Work Form 4, Term 1-3

Embakasi East MP Babu Owino during his Maths lesson on Facebook. He has promised to live stream more lessons in Mathematics and Chemistry in coming weeks.
Embakasi East MP Babu Owino during his Maths lesson on Facebook. He has promised to live stream more lessons in Mathematics and Chemistry in coming weeks.

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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    

 

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