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FORM 4 MATHS SCHEMES OF WORK FOR TERM 13.
SCHEME OF WORK FORM FOUR MATHEMATICS TERM ONE YEAR  
WKNO. 
L/NO  TOPIC / SUBTOPIC  LESSON / SPECIFIC
OBJECTIVES 
TEACHING / LEARNING
ACTIVITIES 
MATERIALS
/ RESOURCES 
REFERE
NCES 
REMARKS 
1  1  MATRICES & TRANSFORMATIONS
Definition of a transformation. Reflection in the yaxis. 
By the end of the lesson, the learner should be able to:
Define a transformation. Obtain image of an object by reflection in the yaxis. 
Questioning to review position vectors; Drawing objects and their images on the Cartesian plane; Inferring the matrix of transformation for reflection in the yaxis. Written exercise.

Geo – board, Graph papers, mirrors. 
KLB BK IV Pgs 12 

2  Reflection in the
xaxis. 
Obtain image of an object by reflection in the xaxis.  Drawing object and image on the Cartesian plane;
Inferring the matrix of transformation for reflection in the xaxis. 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 23 

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 34 

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 34 

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 913 

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 68 

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 1112 

2  Two successive transformations.  Perform two successive transformations.  Guided discovery of order of operation;
Written exercise. 
Geo – board,
Graph papers.

KLB BK IV
Pgs 1617 

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 1617 

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 2122 

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 2426 

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 2426 

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 2627 

3  1  Shear transformation.
(xaxis invariant) 
Identify a shear transformation. (xaxis 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 2832 

2  Shear transformation.
(yaxis invariant) 
Identify a shear transformation. (yaxis 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 2831 

3  Finding shear matrix.  Find shear matrix given the object and image.  Worked examples;
Written exercise. 
Geo – board,
Graph papers.

KLB BK IV
Pgs 312 

4  Oneway stretch.
(xaxis invariant) 
Describe a oneway stretch.
(xaxis invariant) Find the scale factor of a stretch. 
Guided discovery;
Worked examples and discussion.

Geo – board,
Graph papers.

KLB BK IV
Pgs 3234 

5  Oneway stretch.
(yaxis invariant) 
Describe a oneway stretch.
(yaxis invariant). Find the scale factor of a stretch. 
Guided discovery;
Worked examples and discussion.

Geo – board,
Graph papers.

KLB BK IV
Pgs 3234 

6  Isometric and nonisometric transformation.  Classify transformations as either isometric or nonisometric.  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 3839 

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 4041 

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 4046 

5  Median.  Find median of grouped data.  Worked examples;
Written exercise. 
Calculator.  KLB BK IV
Pgs 467 

6  Quartiles.  Find upper and lower quartiles.  Exposition;
Worked examples; Written exercise. 
Calculator.  KLB BK IV
Pgs 478 

7  Deciles and Percentiles.  Define a decile and percentile.
Find n^{th} decile / percentile. 
Exposition;
Worked examples; Written exercise. 
Calculator.  KLB BK IV
Pgs 478 

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 3840 

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 4850 

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 5355 

4  Range, interquartile range and quartile deviation.  Find range and interquartile range of a set of data.  Exposition and oral exercise.  Calculator.  KLB BK IV
Pgs 5556 

5  Mean absolute deviation.  Determine mean absolute deviation.  Exposition;
Worked examples. 
Calculator.  KLB BK IV
Pgs 567 

6  Variance.  Define variance.
Determine variance of a set of data. 
Exposition;
Worked examples. 
Calculator.  KLB BK IV
Pgs 5759 

7  Standard deviation.  Determine standard deviation of a set of data.  Exposition;
Worked examples; Written exercise. 
Calculator.  KLB BK IV
Pgs 5960 

6  14  Formulae for standard deviation.  Use various methods of finding std deviation.  Exposition;
Worked examples; Written exercise. 
Calculator.  KLB BK IV
Pgs 603 

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 667 

6  Sketching locus of a point.  Sketch locus of a point.  Oral exercise;
Supervised practice; Written exercise. 
KLB BK IV
Pgs 678 

7  Perpendicular bisector locus.
(two dimensions) 
Describe perpendicular bisector locus.
(two dimensions) 
Geometrical construction;
Guided discovery; Written exercise. 
Geometrical sets.  KLB BK IV
Pgs 689 

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 724 

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 724 

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 724 

3  Circumcircle locus.  Construct a circumcircle.  Geometrical construction;
Supervised practice; Written exercise. 
Geometrical sets.  KLB BK IV
Pg 78 

4  Incircle locus.  Construct an incircle locus.  Geometrical construction;
Supervised practice; Written exercise. 
Geometrical sets.  KLB BK IV
Pg 78 

5  Excircle locus.  Construct an excircle 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 7981 

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 812 

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 9697 

3  TRIGONOMETRY
III
Some trigonometric ratios. 
Rearrange trigonometric expressions.

Exposition and worked examples; Written exercise. 
Geometrical sets. 
KLB BK IV Pgs 9091 

4  Trigonometric identities.  Prove some trigonometric identities.  Problem solving.  Geometrical sets.  KLB BK IV
Pgs 1001 

5  Period and amplitude of waves.  Determine period and amplitude of waves.  Exposition and worked examples.  Geometrical sets.  KLB BK IV
945 

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

Exposition and worked examples.  Calculator.

KLB BK IV
Pgs 967 

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 967 

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 967 

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 9697 

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 978 

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 978 

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 1003 

6  Further trig. equations.  Solve trigonometric equations.  Exercise review;
Problem solving. 
Geometrical sets, graph papers.  KLB BK IV
Pgs 1003 

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 1003 

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 1003 

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 1046 

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 1067 

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 107113 

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 107113 

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

Models of solids.  KLB BK IV
Pgs 113118 

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 113118 

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 113118 

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 119124 

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 offcuts, 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 1428 


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 1257 


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

Wire globe.  KLB BK IV
Pgs 1289, 131141 

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 1303, 131141 

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 1303, 131141 

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 1303, 131141 

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 1337 


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 1379 

5  Longitudes and time.  Relate longitudes with local time.  Probing questions;
Worked examples; Written exercise. 
Wire globe, calculator.  KLB BK IV
Pgs 1412 

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 1501 

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

Graph papers.  KLB BK IV
Pgs 1501 

3  Solutions of linear inequalities.  Solve linear inequalities.  Probing questions;
Worked examples; Written exercise.

Graph papers.  KLB BK IV
Pgs 1512 

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

Worked examples;
Supervised practice; Written exercise.

Graph papers.  KLB BK IV
Pgs 18890 

5  Graphs of linear inequalities.
(contd) 
Represent situations graphically with inequalities.

Exercise review;
Supervised practice; Written exercise.

Graph papers.  KLB BK IV
Pgs 18890 

6  Objective function.  Formulate the objective function.

Probing questions;
Oral exercise. 
Graph papers.  KLB BK IV
Pgs 1914 

7  Optimization.  Obtain the optimum solution to inequalities.  Exposition;
Guided discovery. Written exercise.

Graph papers.  KLB BK IV
Pgs 1947 

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

Graph papers.  KLB BK IV
Pgs 197201 

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 1623 

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 1634 

5  Gradient of a curve.
(first principles) 
Determine gradient of a curve.
(first principles) 
Exposition;
Probing questions. 
KLB BK IV
Pgs 1646 

6  Derivative of a function. (first principles)  Obtain derivative of a function. (first principles)  Exposition;
Probing questions. 
KLB BK IV
Pgs 1679 

7  Meaning of differentiation.  Recall the process of differentiation.  Exposition;
Worked examples; Supervised practice; Written exercise. 
KLB BK IV
Pgs 1667 

5  1  Derivative of a polynomial.  Differentiate a polynomial.  Exposition;
Worked examples; Supervised practice; Written exercise. 
KLB BK IV
Pgs 1702 

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 1702 

3  Derivative of a quadratic function.  Differentiate a quadratic function.  Exposition;
Worked examples; Supervised practice; Written exercise. 
KLB BK IV
Pgs 1702 

4  Obtaining gradient from gradient function.  Obtain gradient from gradient function.  Worked examples;
Supervised practice; Written exercise. 
KLB BK IV
Pgs 1702 

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 1734 

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 1734 

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 1745 

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 1756 

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 1767 

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 1767 

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 1801 

5  Curve sketching  Sketch curves.  Supervised practice;
Written exercise. 
Graph books.  KLB BK IV
Pgs 1802 

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 1823 

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

KLB BK IV
Pgs 1823 

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 1846 

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

KLB BK IV
Pgs 1846 

3  Acceleration from displacement function.  Determine acceleration from a displacement function.  Probing questions;
Worked examples; Written exercise.

KLB BK IV
Pgs 1846 

4  Maxima and minima.  Apply differentiation to find maxima and minima.  Exposition;
Worked examples; Written exercise.

KLB BK IV
Pgs 1869 

5  Maxima and minima (contd)  Apply differentiation to find maxima and minima.  Exercise review;
Problem solving. 
KLB BK IV
Pgs 1869 

6  INTEGRATION
Reverse the process of differentiation. 
Reverse the process of differentiation. 
Probing questions; Worked examples; Written exercise.

KLB BK IV Pgs 2079 

7  Finding y given gradient function.  Find y given gradient function.  Probing questions;
Worked examples; Written exercise.

KLB BK IV Pgs 20912 

1  Indefinite integral.  Obtain an indefinite integral.  Exposition;
Worked examples; Written exercise.

KLB BK IV Pgs 2126 

8  1  Definite integral.  Obtain a definite integral.  Exposition;
Worked examples; Written exercise.

KLB BK IV Pgs 2126 

2  Area bounded by a curve above xaxis.  Determine area bounded by a curve and xaxis.  Exposition;
Worked examples; Written exercise.

KLB BK IV Pgs 2178 

3  Area bounded by a curve below xaxis.  Determine area bounded by a curve and xaxis.  Exposition;
Worked examples; Written exercise.

KLB BK IV Pgs 2189 

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 2234 

6  Velocity from acceleration function.  Obtain velocity from a acceleration function.  Probing questions;
Worked examples; Written exercise.

KLB BK IV Pgs 2234 

7  Exercise on kinematics.  Apply integration and differentiation in kinematics.  Exercises review;
Problem solving. 
KLB BK IV Pgs 225231 

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 1967 

2  Application of trapezium rule.  Apply trapezium rule in problem solving.  Worked examples;
Written exercise. 
KLB BK IV Pgs 197201 

3  Application of trapezium rule.  Apply trapezium rule in problem solving.  Written exercise review.
Problem solving. 
KLB BK IV Pgs 197201 

4  The midordinate rule.  Derive the midordinate rule.  Divide area under a graph into several strips;
Guided derivation of the trapezium rule. 
KLB BK IV Pgs 2023 

5  Application of midordinate rule.  Apply midordinate rule.in problem solving.  Worked examples;
Written exercise. 
KLB BK IV Pgs 2036 

67  Application of midordinate rule.  Apply midordinate rule in problem solving.  Review exercises;
Problem solving. 
KLB BK IV Pgs 2036 

1013  MOCK K.C.S.E EXAM  