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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Angles
|
Measuring and drawing angles
|
By the end of the
lesson, the learner
should be able to:
Measure and draw an angle using a protractor |
Discussions
Demonstration Measuring angles Illustrations |
Protractor
Ruler Models of figures Charts |
Discovering secondary mathematics book 1 pages 50-52
KLB book 1 page 19757 Advancing mathematics book 1 page 173-175 Secondary mathematics KIE book 1 page 62 |
|
| 2 | 2 |
Angles
|
Types of angles
|
By the end of the
lesson, the learner
should be able to:
Name and draw different types of angles |
Discussions
Drawing angles Measuring angles Naming angles |
Protractor
Ruler Models of triangles, rectangles etc Charts |
Discovering secondary mathematics book 1 pages 51-52
Secondary mathematics KLB students book 1 page 197-198 Advancing mathematics book 1 page 175-177 Secondary mathematics KIE book 1 page 62-64 |
|
| 2 | 3 |
Angles
|
Angles on a straight line, vertically opposite angles and angles at a point
|
By the end of the
lesson, the learner
should be able to:
Identify and draw angles on a line vertically opposite angles and angles at a point |
Discussions
Drawing angles Doing exercises Naming angles |
Protractor
Ruler Models of triangles, rectangles etc. |
Discovering secondary mathematics book 1 pages 52-54
Secondary mathematics KLB students book 1 page 200-201 Advancing mathematics book 1 page 177-179 Secondary mathematics KIE book 1 page 66-67 |
|
| 2 | 4 |
Angles
|
Parallel lines corresponding alternate and interior angles
|
By the end of the
lesson, the learner
should be able to:
Identify and draw parallel lines, corresponding alternate and interior angles |
Discussions
Drawing angles Measuring angles Identifying angles |
Protractor
Ruler Real objects |
Discovering secondary mathematics book 1 pages 55-57
Secondary mathematics KLB students book 1 page 206-210 Advancing mathematics book 1 page 180-181 Secondary mathematics KIE book 1 page 70-72 |
|
| 2 | 5 |
Polygons
|
Triangles
|
By the end of the
lesson, the learner
should be able to:
Define a polygon and identify and draw different triangles. |
Discussions
Drawing triangles Measuring Angles Measuring lengths Definitions |
Protractor
Ruler Models of different triangles |
Discovering secondary mathematics book 1 pages 58-61
Secondary mathematics KLB students book 1 page 211 Advancing mathematics book 1 page 182-183 Secondary mathematics KIE book 1 page 75-76 |
|
| 2 | 6 |
Polygons
|
Interior and exterior angles of a polygons
|
By the end of the
lesson, the learner
should be able to:
Identify and draw interior and exterior angles of a quadrilateral |
Discussions
Drawing quadrilaterals Measuring angles Measuring lengths Illustrations |
Protractor
Ruler Strings Real Objects |
Discovering secondary mathematics book 1 pages 63-66
Secondary mathematics KLB students book 1 page 212-213 Advancing mathematics book 1 page 182-183 Secondary mathematics KIE book 1 page 76-77 |
|
| 3 |
OPENER EXAMS |
|||||||
| 4 | 1 |
Polygons
|
Quadrilaterals
|
By the end of the
lesson, the learner
should be able to:
Identify and draw different quadrilaterals |
Discussions
Drawing quadrilaterals Measuring angles Measuring lengths |
Protractor
Ruler Strings Real Objects |
Discovering secondary mathematics book 1 pages 60-63
Secondary mathematics KLB students book 1 page 219-220 Advancing mathematics book 1 page 185-186 Secondary KIE book 1 page 82-83 |
|
| 4 | 2 |
Geometric Constructions
|
Construction of a perpendicular bisector of a line
|
By the end of the
lesson, the learner
should be able to:
Use a pair of compasses and ruler only to construct a perpendicular bisector of a line |
Discussions
Construction of a perpendicular bisector of a line Drawing shapes |
Plane figures
Geometrical sets Polygonal shapes Ruler Pair of compasses |
Discovering secondary mathematics book 1 pages 77-78
Secondary mathematics KLB students book 1 page 227 Advancing mathematics book 1 page 197-198 Secondary KIE book 1 page 153 |
|
| 4 | 3 |
Geometric Constructions
|
Construction of parallel lines
|
By the end of the
lesson, the learner
should be able to:
Construct parallel lines using a ruler and a set square or at a given distance |
Discussions
Constructions Demonstrations Measuring angles |
Set squares
Ruler Pair of compass |
Discovering secondary mathematics book 1 pages 78-79
Secondary mathematics KLB students book 1 page 235 Advancing mathematics book 1 page 202 Secondary mathematics KIE book 1 page 154-155 |
|
| 4 | 4 |
Geometric Constructions
|
Dividing a line proportionally
|
By the end of the
lesson, the learner
should be able to:
Divide a line proportionally using a ruler and a set square |
Discussions
Dividing lines proportionally Drawing straight lines Measuring angles and lengths |
Set squares
Ruler Pair of compass |
Discovering secondary mathematics book 1 pages 79-80
Secondary mathematics KLB students book 1 page 236 Advancing mathematics book 1 page 203 Secondary mathematics KIE book 1 page 156 |
|
| 4 | 5 |
Geometric Constructions
|
Reproducing and bisecting angles
|
By the end of the
lesson, the learner
should be able to:
Reproduce and bisect an angle |
Discussions
Demonstrations Illustrations Drawing angles |
Ruler
Pair of compass |
Discovering secondary mathematics book 1 page80
Secondary mathematics KLB students book 1 page 233 Advancing mathematics book 1 page 202 Secondary mathematics KIE book 1 page 149-150 |
|
| 4 | 6 |
Geometric Constructions
|
Constructing angles
|
By the end of the
lesson, the learner
should be able to:
Construct angles at 60 degrees |
Discussions
Measuring angles Bisecting angles Constructing angles Solving problems on construction of angles |
Ruler
Pair of compass Protractor Real objects |
Discovering secondary mathematics book 1 page 80-82
Secondary mathematics KLB students book 1 page 233-234 Advancing mathematics book 1 page 201-202 Secondary mathematics KIE book 1 page 149-150-151 |
|
| 5 | 1 |
Geometric Constructions
|
Constructing polygons
|
By the end of the
lesson, the learner
should be able to:
Construct regular and irregular polygons |
Discussions
Measuring angles and lengths Bisecting angles Constructing angles |
Ruler
Pair of compass Protractor Real objects |
Discovering secondary mathematics book 1 page 83-84
Secondary mathematics KLB students book 1 page 237-240 Advancing mathematics book 1 page 207-208 Secondary KIE book 1 page 158-159 |
|
| 5 | 2 |
Coordinates And Graphs
|
The Cartesian plane
Plotting graphs and linear graphs |
By the end of the
lesson, the learner
should be able to:
Draw and label the Cartesian plane Plot points on a Cartesian plane Read points on linear graphs on the Cartesian plane |
Discussions
Labeling the Cartesian plane Writing scale Drawing the axes of the Cartesian plane Reading points from the Cartesian plane Plotting points on the Cartesian plane Drawing axes of a Cartesian plane |
Graph papers
Square board Cartesian plane Typographical maps Ruler protractor Square boards Chalk boards Grid boards |
Discovering secondary mathematics Book 1 Pages 103-104
Secondary mathematics KLB book 1 pages 182-183 Secondary mathematics KIE book 1 page 223-224 Advancing in mathematics book 1 pages 161-162 |
|
| 5 | 3 |
Coordinates And Graphs
|
Plotting linear graphs and linear equations of lines
|
By the end of the
lesson, the learner
should be able to:
Plot a linear graph Work out the equation of a line |
Discussions
Labeling the Cartesian plane Writing scale Plotting points on the Cartesian plane Reading points from the Cartesian plane Drawing axes of a Cartesian plane |
Graph papers
protractor Square boards Creo boards Grid boards Typographical maps |
Discovering secondary mathematics Book 1 Pages 108-111
Secondary mathematics KLB book 1 pages 185-186 Secondary mathematics KIE book 1 page 226 Advancing in mathematics book 1 pages 165-166 |
|
| 5 | 4 |
Coordinates And Graphs
|
Graphical solutions
|
By the end of the
lesson, the learner
should be able to:
Solve simultaneous linear equations graphically |
Discussions
Writing scale Labeling the Cartesian plane Solving linear equations graphically Illustrations Drawing the axes of a Cartesian plane |
Graph papers
protractor Square boards Typographical maps Ruler Grid boards |
Discovering secondary mathematics Book 1 Pages 111-113
Secondary mathematics KLB book 1 pages 188-189 Secondary mathematics KIE book 1 page 229-232 Advancing in mathematics book 1 pages 167-170 |
|
| 5 | 5 |
Scale Drawing And Angles Of Elevation And Depression
|
Indicating scale
|
By the end of the
lesson, the learner
should be able to:
Read, interpret and indicate scale in linear statement ratio |
Discussions
Solving problems Drawing to scale Writing scale Interpreting scale Determining scale |
Ruler
Tape measure Figure drawn to scale photographs |
Discovering secondary mathematics Book 1 Pages 116-168
Secondary mathematics KLB book 1 pages 248-250 Secondary mathematics KIE book 1 page 185 Advancing in mathematics book 1 pages 209-210 |
|
| 5 | 6 |
Scale Drawing And Angles Of Elevation And Depression
|
Angles of elevation & depression
|
By the end of the
lesson, the learner
should be able to:
Determine the angles of elevation and depression |
Discussions
Drawing to scale Doing exercises Solving problems Measuring angles/lengths |
Ruler
Tape measure Figure drawn to scale photographs |
Discovering secondary mathematics Book 1 Pages 168-172
Secondary mathematics KLB book 1 pages 256-260 Secondary mathematics KIE book 1 page 187-192 Advancing in mathematics book 1 pages 211 |
|
| 6 | 1 |
Scale Drawing And Angles Of Elevation And Depression
|
Bearing
|
By the end of the
lesson, the learner
should be able to:
State the bearing of a point from another point |
Discussions
Drawing to scale Measuring angles/lengths Solving problems involving bearings |
Ruler
Tape measure Protractor Set square Plumb line |
Discovering secondary mathematics Book 1 Pages 173-175
Secondary mathematics KLB book 1 pages 251-252 Secondary mathematics KIE book 1 page 193-195 Advancing in mathematics book 1 pages 211-213 |
|
| 6 | 2 |
Bearing And Surveying
|
Methods of surveying
|
By the end of the
lesson, the learner
should be able to:
Apply scale drawing in methods of surveying |
Discussions
Drawing to scale Measuring angles/lengths Estimating area |
Geometrical sets
Clinometers Surveying equipment Protractor Ruler Playfield School compound |
Discovering secondary mathematics Book 1 Pages 176-178
Secondary mathematics KLB book 1 pages 262-265 Secondary mathematics KIE book 1 page 199-202 Advancing in mathematics book 1 pages 213-216 |
|
| 6 | 3 |
Bearing And Surveying
|
Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
Determine the area of irregular shapes using surveying techniques |
Discussions
Measuring lengths/objects Drawing scale Estimating are |
Geometrical sets
Clinometers Surveying equipment Protractor Ruler Playfield School compound |
Discovering secondary mathematics Book 1 Pages 178-181
Secondary mathematics KLB book 1 pages 267-268 Secondary mathematics KIE book 1 page 205-206 Advancing in mathematics book 1 pages 216-220 |
|
| 6 | 4 |
Common Solids
|
Regular solids
|
By the end of the
lesson, the learner
should be able to:
Identify and sketch common solids |
Discussions
Counting sides faces and vertices Sketching solids |
Models of common solids
Actual solids |
Discovering secondary mathematics Book 1 Pages 182-185
Secondary mathematics KLB book 1 pages 271-276 Secondary mathematics KIE book 1 page 248-254 Advancing in mathematics book 1 pages 222-227 |
|
| 6 | 5 |
Common Solids
|
Nets of solids
|
By the end of the
lesson, the learner
should be able to:
Sketch, draw nets of solids and make models of solids from the nets |
Discussions
Sketching Drawing to scale Drawing accurately Making models |
Models of common solids
Examples of the common solids |
Discovering secondary mathematics Book 1 Pages 186-188
Secondary mathematics KLB book 1 pages 277-283 Secondary mathematics KIE book 1 page 255-260 Advancing in mathematics book 1 pages 228-229 |
|
| 6 | 6 |
Common Solids
|
Surface area of solids
|
By the end of the
lesson, the learner
should be able to:
Calculate the surface area of solid from nets |
Discussions
Sketching Making models Drawing to scale |
Models of common solids
Actual solids |
Discovering secondary mathematics Book 1 Pages 188-189
Secondary mathematics KLB book 1 pages 284-285 Secondary mathematics KIE book 1 page 264-265 Advancing in mathematics book 1 pages 230-231 |
|
| 7 | 1 |
Common Solids
|
Distance between two points on the surface area of solid
|
By the end of the
lesson, the learner
should be able to:
Determine the distance between two points on the surface of a solid |
Discussions
Sketching Making models Drawing to scale Measuring lengths/angles |
Sketches of cubes and cuboids
charts |
Discovering secondary mathematics Book 1 Pages 189-191
Secondary mathematics KLB book 1 pages 286-288 Advancing in mathematics book 1 pages 231-233 |
|
| 7 | 2 |
Cube and cube roots
|
Cubes
Use of tables to find cubes Cube roots using factor method |
By the end of the
lesson, the learner
should be able to:
Find cubes of numbers Use tables to find the cube of numbers Find cube roots using factor method |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 7 |
MID TERM EXAMS |
|||||||
| 8 |
MID TERM |
|||||||
| 9 | 1 |
Reciprocals
|
Reciprocal of numbers by division
Reciprocal of number from tables |
By the end of the
lesson, the learner
should be able to:
Find the reciprocal of number by division Find reciprocal of numbers from the table |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 |
|
| 9 | 2 |
Indices and Logarithms
|
Indices
Negative indices |
By the end of the
lesson, the learner
should be able to:
State the laws of indices Find the negative indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 7-8 discovering secondary pg 10 |
|
| 9 | 3 |
Indices and Logarithms
|
Fractional indices
Logarithms |
By the end of the
lesson, the learner
should be able to:
Find the fractional indices Write numbers in logarithms and vice versa |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 9-11 discovering secondary pg 12 |
|
| 9 | 4 |
Indices and Logarithms
|
Standard form
Powers of 10 and common logarithms |
By the end of the
lesson, the learner
should be able to:
Write standard form of numbers Read from the table logarithms of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
| 9 | 5 |
Indices and Logarithms
|
Logarithms of positive numbers less than 1
Antilogarithms |
By the end of the
lesson, the learner
should be able to:
Find the logarithms of positive numbers less than 1 Find the antilogarithms of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 18 discovering secondary pg 15 |
|
| 9 | 6 |
Indices and Logarithms
|
Applications of logarithms
Roots |
By the end of the
lesson, the learner
should be able to:
Use multiplication and division law of indices to find logarithms Use log tables to find roots of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 20-22 discovering secondary pg 18 |
|
| 10 | 1 |
Indices and Logarithms
Gradient and equations of straight lines |
Roots
Gradient |
By the end of the
lesson, the learner
should be able to:
Find logarithms of root numbers 2 Find gradient of straight line |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 25 discovering secondary pg21 |
|
| 10 | 2 |
Gradient and equations of straight lines
|
Gradient
Equation of a line |
By the end of the
lesson, the learner
should be able to:
State the type of gradient Find equation of a line passing through two points |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 30-32 discovering secondary pg 23 |
|
| 10 | 3 |
Gradient and equations of straight lines
|
Linear equation y=mx+c
The y-intercept |
By the end of the
lesson, the learner
should be able to:
Find linear equations in the form y=mx+c Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 34-36 discovering secondary pg 27 |
|
| 10 | 4 |
Gradient and equations of straight lines
|
The graph of a straight line
Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Draw the graph of a straight line Determine the equation of perpendicular lines |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Pg39-40 discovering secondary pg 29 |
|
| 10 | 5 |
Gradient and equations of straight lines
Reflection and congruence |
Parallel lines
Symmetry |
By the end of the
lesson, the learner
should be able to:
Determine the equation of parallel lines Find the lines of symmetry of shapes |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 43-44 discovering secondary pg 29 |
|
| 10 | 6 |
Reflection and congruence
|
Reflection
Some general deductions using reflection |
By the end of the
lesson, the learner
should be able to:
Draw an image under reflection Prove that vertically opposite angles are equal |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 48-50 Discovering secondary pg 33 |
|
| 11 | 1 |
Reflection and congruence
|
Some general deductions using reflection
Congruence Congruent triangles |
By the end of the
lesson, the learner
should be able to:
Deduce some general rules of reflection Determine shapes that are congruent State the conditions that satisfy congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 11 | 2 |
Reflection and congruence
|
Congruent triangles
The ambiguous case |
By the end of the
lesson, the learner
should be able to:
Determine the congruent triangles Determine the two angles that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 11 | 3 |
Rotation
|
Introduction
Centre of rotation |
By the end of the
lesson, the learner
should be able to:
Draw an image of an object under rotation Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 71-73 Discovering secondary pg 44 |
|
| 11 | 4 |
Rotation
|
Angle of rotation
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the angle of rotation Rotate objects about the origin |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 74-75 Discovering secondary pg 46 |
|
| 11 | 5 |
Rotation
|
Rotation in the Cartesian plane
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the 90 Rotate objects about the +180 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
|
| 11 | 6 |
Rotation
|
Rotational symmetry of plane figures
Rotational symmetry of solids |
By the end of the
lesson, the learner
should be able to:
State the order of rotational symmetry Determine the lines of symmetry of solids |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 78-80 Discovering secondary pg 49 |
|
| 12 | 1 |
Rotation
Similarity and enlargement |
Rotation and congruence
Similar figures |
By the end of the
lesson, the learner
should be able to:
Determine the relationship between rotation and congruence Calculate lengths of objects |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 84 Discovering secondary pg 50 |
|
| 12 | 2 |
Similarity and enlargement
|
Similar figures
Enlargement |
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures Enlarge an object |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 |
|
| 12 | 3 |
Similarity and enlargement
|
Enlarge objects
Linear scale factor |
By the end of the
lesson, the learner
should be able to:
Draw the object and its image under enlargement Determine the linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97-99 Discovering secondary pg 53 |
|
| 12 | 4 |
Similarity and enlargement
|
Linear scale factor
Negative scale factor |
By the end of the
lesson, the learner
should be able to:
Use the linear scale factor to find lengths Find the negative scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 100-101 Discovering secondary pg 56 |
|
| 12 | 5 |
Similarity and enlargement
|
Positive and negative linear scale factor
Area scale factor |
By the end of the
lesson, the learner
should be able to:
Solve problems on linear scale factor Determine the area scale factor |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
| 12 | 6 |
Similarity and enlargement
|
Area of scale factor
Volume scale factor Volume scale factor Area and volume scale factor |
By the end of the
lesson, the learner
should be able to:
Use area scale factor to solve problems Determine the volume scale factor Use volume scale factor to solve problems Solve problems on area and volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 108 Discovering secondary pg 64 |
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