Exploring-Mathematics-Term-2

advertisement
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 1
Chapter 10: Plans, Elevations and Bearings
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pages 169 - 186
 Draw front, side and plan elevation of a given object
Date:
Introduction:
5 Minutes
Content
Introducing front, side and
plan elevation
Development: Drawing front, side and
30 Minutes
plan elevation
Teacher activities
Lead the discussion on the
rationale of elevations; how
architects, building engineers,
pilots, etc. use the concept to
make accurate and informed
decisions.
Explain the words plan, front
and side elevation.
Use the example on p. 170 in
the SB to demonstrate the
drawing of front, side and
plan elevations.
Student activities
The students respond to the teacher’s questions.
Students observe the demonstrations of drawing
elevations.
Work on Support Activity 10.1 on p. 173 in the SB.
Conclusion:
5 Minutes
Total
Duration:
40 Minutes
Summarising the lesson
Guide the students as they
work on Support Activity 10.1
on p. 173 in the SB.
Ask students what they have
learned.
Assessment
Revision exercise questions 1 and 3 on p. 173 in the SB.
Do Exercise 10.1 on p. 173 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Activity on p. 175 in the SB.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
2
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 1
Chapter 10: Plans, Elevations and Bearing
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 169 - 186
 Find a point’s position using direction/bearings,
15 cm ruler
distances and/or angles in a given journey
Protractor
Graph pad
Date:
Content
Teacher activities
Student activities
Introduction: Introducing directions and Lead the discussion on
The students respond to the teacher’s questions.
5 Minutes
bearings
cardinal points and
intermediate points.
Lead the discussion on the
rationale of bearings.
Development: Finding a point’s position
Use example on p. 176 in the Students observe the demonstrations of drawing
30 Minutes
using directions/bearings
SB to demonstrate how to
elevations.
find a point’s position using
bearings.
They work on Activity 10.3 on p. 176 in the SB.
Guide the students as they
work on Activity 10.3 on p.
Students do Exercise 10.2 on p. 177 in the SB.
176 in the SB.
Conclusion:
Summarising the lesson
Ask students what they have Respond to the teacher’s questions on what they
5 Minutes
learned.
have learned.
Total
Assessment
Assignments/Expanded opportunities
Duration:
Revision exercise questions 1 (a), (b) 2 (a), (c), (f) and 4 (a),
Activity on p. 178 in the SB.
40 Minutes
(c), (e) on p. 173 in the SB.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
3
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 1
Chapter 10: Plans, Elevations and Bearings
Teacher:
Class:
LESSON 3
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 169 - 186
 Find a point’s position using direction/bearings,
15 cm ruler
distances and/or angles in a given journey
Protractor
Graph pad
Date:
Content
Teacher activities
Student activities
Introduction:
Recapping the
Lead the discussion on a
The students respond to the teacher’s questions.
5 Minutes
Pythagorean theorem
simple problem involving the
and trigonometry
Pythagorean theorem and
Take short notes.
trigonometry.
Introducing angle of
elevation and depression Describe the angle of
elevation and depression
using Activity 10.5 on p. 180
in the SB.
Development:
Using Pythagorean
Lead the discussion on solving Discuss example on p. 181 in the SB with the teacher.
30 Minutes
theorem and
problems involving bearings,
trigonometry to solve
angle of elevation and angle
Work on Activity 10.6 on p. 181 in the SB.
problems involving angle of depression using Example
of elevation, angle of
on p. 181 in the SB.
Do Exercise 10.3 on p. 182 in the SB.
depression and bearings
Guide the students as they
work on Activity 10.6 on p.
181 in the SB.
Conclusion:
Summarising the lesson
Ask students what they have
Respond to the teacher’s questions on what they have
5 Minutes
learned.
learned.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
4
Total Duration:
40 Minutes
Assessment
Revision exercise questions 1 and 3 on p. 182 in the SB.
Assignments/Expanded opportunities
Activity 10.2 on p. 183 in the SB.
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 1
Chapter 10: Plans, Elevations and Bearings
Teacher:
Class:
LESSON 4
Learning Objectives
Resources/Learning Aids/LTSM
End of topic test covering:
Exploring Mathematics Form 3 PB pp. 169 - 186
15 cm ruler
 Draw front, side and plan elevations of a given object
Protractors
 Find a point’s position using direction/bearings,
distances and or angles in a given journey
 Use Pythagorean theorem and trigonometric ratios to
solve problems involving angle of elevation, angle of
depression and bearings
Date:
Content
Teacher activities
Student activities
Introduction:
Information on how to
Inform students how end of
Prepare required aids for tackling a revision exercise.
5 Minutes
approach the Revision
topic exercise will be
exercise
administered.
Development:
30 Minutes
Administering End of topic
Revision exercise
Guide students as they work
on end of topic test; Revision
Exercise on p. 184 in the SB.
Ask students what they have
learned during the exercise.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise (all questions) on p. 184 in the SB
Students work on the Revision Exercise on p. 184 in
the SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Extension Activity 10.2 on p. 183 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
5
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 2
Chapter 11: Transformation Geometry
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 187 - 206
 Revising transformations
15 cm ruler
Protractor
Set square
Graph pad
Date:
Content
Teacher activities
Student Activities
Introduction:
Recapping transformation Lead the discussion on the
The students respond to the teacher’s questions.
5 Minutes
geometry learned from
type of transformations the
Form 2 syllabus
students already know.
Development:
30 Minutes
Conclusion:
5 Minutes
Revising all aspects of
transformation geometry
Summarising the lesson
Give examples of
transformations by drawing
diagrams on a Cartesian plane
and ask students to identify
them in Activity 11.1 in the SB
on p. 188.
Guide students as they
discuss the example on p. 190
of the SB in pairs.
Ask students what they have
learned.
Correct misconceptions in
They discuss Activity 11.1 on p. 188 in the SB with the
teacher.
Work through the example on p. 190 in the SB in pairs.
Do Exercise 11.1 on p. 191 in the SB.
Respond to the teacher’s questions on what they have
learned.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
6
relation to transformations
Total Duration:
40 Minutes
Assessment
Revision exercise questions 1, 2 and 3 on p. 191 in the SB
Assignments/Expanded opportunities
Activity on p. 191 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 2
Chapter 11: Transformation Geometry
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3PB pp. 187 - 206
 Draws combined transformations up to three different
15 cm ruler
types
Protractor
Set square
Graph pad
Date:
Content
Teacher activities
Student activities
Introduction:
Introducing combined
Lead the discussion by
The students respond to the teacher’s questions.
5 Minutes
transformations
recapping single
transformations.
Development:
Drawing combined
Lead students through
Discuss Example on p. 192 in the SB with the teacher.
30 Minutes
transformations – up to
discussion of the example on
three different types
p. 192 in the SB.
Work on Activity 11.3 on p. 193 in the SB in groups.
Guide students as they work
on Activity 11.3 on p. 193 in
the SB in groups.
Ask students what they have
learned.
Correct misconceptions in
relation to transformations.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise questions 1 and 3 on p. 193 in the SB
Do Exercise 11.2 on p. 193 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Exercise 11.2 p. 192 Question 4 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
7
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 2
Chapter 11: Transformation Geometry
Teacher:
Class:
LESSON 3
Learning Objective
Resources/Learning Aids/LTSM
 Identifying and describing combined transformations up Exploring Mathematics Form 3 PB pp. 187 - 206
15 cm ruler
to three different types
Protractor
Set square
Graph pad
Date:
Content
Teacher activities
Student activities
Introduction:
Introducing identification
Lead the discussion on
The students respond to the teacher’s questions.
5 Minutes
and description of
combined transformations
combined transformations that students already know.
Development:
30 Minutes
Identifying and describing
combined transformations
up to three different types
Lead and guide students as
they work on Support Activity
11.1 on p. 195 in the SB in
groups.
Ask students what they have
learned.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise question 1 on p. 193 in the SB
Work on Support Activity 11.1 on p. 195 in the SB in
groups.
Do Exercise 11.3 on p. 195 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Extension Activity 11.1 p. 196 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
8
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 2
Chapter 11:: Transformation Geometry
Teacher:
Class:
LESSON 4
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form3 PB pp. 187 - 206
 Solve problems involving combined transformations
15 cm ruler
Protractor
Set square
Graph pad
Date:
Content
Teacher activities
Student Activities
Introduction:
Introducing solving
Lead the discussion on
The students respond to the teacher’s questions.
5 Minutes
problems involving
combined transformations
combined transformations that students already know.
Development:
30 Minutes
Solving problems involving
combined transformations
Lead and guide students as
they work on Activity 11.4 on
p. 197 in the SB in groups.
Ask students what they have
learned.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise question 1 on p. 197 in the SB
Work on Activity 11.4 on p. 197 in the SB in groups.
Do Exercise 11.4 on p. 197 in the SB.
Respond to the teacher’s questions on what they have learned.
Assignments/Expanded opportunities
Activity on p. 199 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
9
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 2
Chapter 11:: Transformation Geometry
Teacher:
Class:
LESSON 5
Learning Objectives
Resources/Learning Aids/LTSM
End of topic test covering:
Exploring Mathematics Form 3 PB pp. 187 - 206
15 cm ruler
 Draw combined transformations up to three different
Protractor
types
Set square
 Identify and describe fully combined transformations
Graph pad
involving up to three different types
 Solve problems involving combined transformations
Date:
Content
Teacher activities
Student activities
Introduction:
Information on how a
Inform students how end of
Prepares required aids for tackling a revision exercise.
5 Minutes
Revision exercise shall be
topic exercise will be
administered.
administered.
Development:
30 Minutes
Administering End of topic
Revision exercise
Guide students as they work
on end of topic test; Revision
Exercise on p. 202 in the SB.
Ask students what they have
learned during the exercise.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise all questions on p. 202 in the SB
Students work on Revision Exercise on p. 202 in the
SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Activity on p. 201 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
10
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 3
Chapter 12: Area and Perimeter
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 207 - 224
 Revise formulae for calculating perimeter and area of
15 cm ruler
different shapes
Protractor
Set square
Date:
Content
Teacher activities
Student activities
Introduction:
Introducing revision of
Lead the discussion on listing The students respond to the teacher’s questions.
5 Minutes
formulae for perimeter and formulae for calculating area
area of different shapes
and perimeter of different
shapes that students already
know.
Development:
30 Minutes
Revising formulae for
calculating perimeter and
area of different shapes
Check how well the students
know the formulae by guiding
them as they work in pairs on
Support Activity 12.1 p. 209 in
the SB.
Ask students what they have
learned.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise question 1 on p. 210 in the SB.
Chapter 12: Area and Perimeter
Work on Activity 12.1 on p. 209 in the SB.
Do Exercise 12.1 on p. 210 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Continue with Exercise 12.1 question 2 on p. 210 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 3
Teacher:
Class:
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
11
LESSON 2
Learning Objective
 Solve problems involving practical applications of ratio
on area and perimeter of two-dimensional shapes
Date:
Introduction:
5 Minutes
Content
Introducing practical
applications of ratio on
area and perimeter
Teacher activities
Lead the discussion on listing
properties of similar shapes
that students already know.
Development:
30 Minutes
Solving practical
applications of ratio on
area and perimeter
Facilitate and guide the
students as they work on
Investigation on p. 211 in the
SB.
Students investigate the practical application of ratio on
area and perimeter in the Investigation on p. 211 in the SB.
Discuss with students the
findings of the activity.
They do Exercise 12.2 on p. 215 in the SB.
Demonstrate application of
ratio on perimeter and area
more by working through the
examples on p. 211 and the p.
212 in the SB.
Ask students what they have
learned.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise question 2 on p. 215 in the SB
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 207 - 224
15 cm ruler
Protractor
Set square
Student Activities
The students respond to the teacher’s questions.
Students discuss the Examples on p. 211 and 212.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Continue with Exercise 12.2 question 3 and 4 on p. 210 in
the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
12
TERM 2 WEEK 3
Chapter 12: Area and Perimeter
LESSON 3
Learning Objective
 Solve problems involving practical application of scale
factors of enlargement/reduction on area and perimeter
of two dimensional shapes
Date:
Introduction:
5 Minutes
Content
Introducing practical
applications of scale factors
of enlargement/reduction
on area and perimeter
Teacher activities
Lead the discussion on
application of ratio on area
and perimeter that students
already know.
Development:
30 Minutes
Solving practical
applications of scale factors
of enlargement/reduction
on area and perimeter
Facilitate and guide the
students as they work on the
Investigation on p. 216 in the
SB.
Teacher:
Class:
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 207 - 224
15 cm ruler
Protractor
Set square
Student activities
The students respond to the teacher’s questions.
Students investigate the practical application of ratio
on area and perimeter as on Investigation on p. 216
in the SB.
Discuss Examples on p. 211 and 212.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
Assessment
Discuss with students the
findings of the activity.
Do Exercise 12.3 on p. 218 in the SB.
Demonstrate application of
scale factors on perimeter
and area more by working
through the example on p.
217 in the SB.
Ask students what they have
learned.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
13
40 Minutes
Revision exercise question 2 on p. 218 in the SB
Extension Activity 12.4 on p. 219 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 3
Chapter 12: Area and Perimeter
Teacher:
Class:
LESSON 4
Learning Objective
Resources/Learning Aids/LTSM
Topic test covering:
Exploring Mathematics Form 3 PB pp. 207 - 224
15 cm ruler
 Solve problems involving practical applications of ratio
Protractor
on area and perimeter of two-dimensional shapes
Set square
 Solve problems involving practical application of scale
factors of enlargement/reduction on area and perimeter
of two dimensional shapes
Date:
Content
Teacher activities
Student activities
Introduction:
Introduction to how a
Inform students how end of
Prepares required aids for tackling a revision
5 Minutes
Revision exercise shall be
topic exercise will be
exercise.
administered.
administered.
Development:
30 Minutes
Administering End of topic
Revision exercise
Guide students as they work
on end of topic test; Revision
Exercise on p. 222 in the SB.
Ask students what they have
learned during the exercise.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise all questions on p. 222 in the SB
Students work on Revision Exercise on p. 222 in the
SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Extension Activity 12.4 on p. 219 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
14
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 4
Chapter 13: Surface Area and Volume
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 225 -240
 Solve problems involving practical applications of ratio
15 cm ruler
and proportion on surface area and volume of threeProtractor
dimensional shapes/objects
Set square
Date:
Content
Teacher activities
Student activities
Introduction:
Introducing applications of Lead the discussion on
The students respond to the teacher’s questions.
5 Minutes
ratio and proportions on
calculation of surface area
surface area and volume
and volume that students
already know.
Development:
30 Minutes
Solving practical
applications of ratio and
proportion on surface area
and volume of threedimensional
shapes/objects
Lead the students to discover
the effect of ratio and
proportion on surface area
and volume as they work on
the Investigation on p. 227 in
the SB.
Students investigate the application of ratio and
proportion on area and volume as per the
Investigation on p. 227 in the SB.
Discuss Example on p. 228 with the teacher.
Do Exercise 13.1 on p. 229 in the SB.
Discuss with students the
findings of the activity.
Conclusion:
Summarising the lesson
Demonstrate application of
ratio and proportion on
surface area more by
discussing the example on p.
228 in the SB.
Ask students what they have
Respond to the teacher’s questions on what they
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
15
5 Minutes
learned.
have learned.
Total Duration:
40 Minutes
Assessment
Assignments/Expanded opportunities
Revision exercise question 2 on p. 229 in the SB
Exercise 13.2 question 1 & 2
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 4
Chapter 13: Surface Area and Volume
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 225 -240
 Solve problems involving practical application of scale
15 cm ruler
factors of enlargement/reduction on surface area and
Protractor
volume of three dimensional shapes
Set square
Date:
Content
Teacher activities
Student activities
Introduction:
Introducing practical
Lead the discussion on
The students respond to the teacher’s questions.
5 Minutes
applications of scale factors application of ratio on surface
of enlargement/reduction
area and volume that
on surface area and
students already know.
volume.
Development:
30 Minutes
Solving problems involving
applications of scale factors
of enlargement/reduction
on surface area and
volume
Facilitate and guide the
students as they work on the
Investigation on p. 232 in the
SB.
Students investigate the practical application of
scale factor on surface area and volume as per the
Investigation on p. 232 in the SB.
Discuss Examples on p. 232.
Discuss with students the
findings of the activity.
Exercise 13.3 on p. 218 in the SB.
Demonstrate application of
scale factors on surface area
and volume more by
discussing the example on p.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
16
232 in the SB.
Ask students what they have
learned.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise questions 1, 2 and 3 on p. 234 in the SB
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Exercise 13.3 – questions 4-6 on p. 234 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 4
Chapter 13: Surface Area and Volume
Teacher:
Class:
LESSON 3
Learning Objectives
Resources/Learning Aids/LTSM
End of topic test covering:
Exploring Mathematics Form 3 PB pp. 225 -240
15 cm ruler
 Solve problems involving application of ratio and
Protractor
proportion on surface area and volume of three
Set square
dimensional shapes
 Solve problems involving applications of
enlargement/reduction on surface area and volume of
three dimensional shapes
Date:
Content
Teacher activities
Student activities
Introduction:
Information on how a
Inform students how end of
Prepares required aids for tackling a revision
5 Minutes
Revision exercise shall be
topic exercise will be
exercise.
administered
administered.
Development:
30 Minutes
Administering End of topic
Revision exercise
Conclusion:
5 Minutes
Summarising the lesson
Guide students as they work
on end of topic test; Revision
Exercise on p. 238 in the SB.
Ask students what they have
learned during the exercise.
Students work on Revision Exercise on p. 238 in
the SB.
Respond to the teacher’s questions on what they
have learned.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
17
Total Duration:
40 Minutes
Assessment
Revision exercise all questions on p. 238 in the SB
Assignments/Expanded opportunities
Extension Activity 13.2 on p. 238 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 4
Chapter 14: Travel Graphs
Teacher:
Class:
LESSON 4
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 241 -264
 Draw and interpret displacement-time graphs
15 cm ruler
Protractor
Set square
Date:
Content
Teacher activities
Student Activities
Introduction:
Introducing displacementLead the discussion by
The students respond to the teacher’s questions.
5 Minutes
time graphs
defining displacement and
give a scenario of
displacement as in the
Introduction on p. 242 in the
SB.
Development:
30 Minutes
Drawing displacement-time
graphs
Demonstrate and discuss in
more detail:
 Drawing of displacementtime graph
 Calculating velocity as per the
Example on p. 247 in the SB.
Discuss Example on p. 247 in the SB with the
teacher.
Work on Activity 14.1 on p. 248 in the SB in pairs.
Facilitate and guide students’
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
18
activity.
Ask students what they have
learned.
Correct misconceptions in
relation to displacement-time
graphs
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Activity 14.1 on p. 248 in the SB
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Activity 14.1 on p 248 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 4
Chapter 14: Travel Graphs
Teacher:
Class:
LESSON 5
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 241 -264
 Solve problems involving displacement-time graphs
15 cm ruler
Protractor
Set square
Date:
Content
Teacher activities
Student activities
Introduction:
Recapping displacementLead the discussion by asking The students respond to the teacher’s questions.
5 Minutes
time graphs
students what they
remember about
displacement-time graphs.
Development:
30 Minutes
Solving problems involving
displacement-time graphs
Discuss a problem with
students that involves
distance time graphs using
the Example on p. 250 in the
SB.
Discuss Example on p. 250 in the SB with the
teacher.
Work on Activity 14.3 on p. 251 in the SB in pairs.
Do Exercise 14.1 on p. 253 in the SB.
Facilitate and guide students
in the activity.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
19
Conclusion:
5 Minutes
Summarising the lesson
Ask students what they have
learned and what they need
clarity on.
Total Duration:
40 Minutes
Assessment
Exercise question 2 on p. 253 in the SB
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Exercise 14.1 question 4 on p 253 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 5
Chapter 14: Travel Graphs
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 241 -264
 Draw and interpret velocity-time graphs
15 cm ruler
Protractor
Set square
Date:
Content
Teacher activities
Student activities
Introduction:
Introducing velocity-time
Lead the discussion by asking The students respond to the teacher’s questions.
5 Minutes
graphs
students what they
understand about velocity as
they have already learned
about it.
Development:
30 Minutes
Drawing displacement-time
graphs
Demonstrate and discuss in
more detail:
 Drawing of velocity time
graph
 Calculating acceleration
 Calculating total
displacement as in Example
Discuss Example on p. 256 in the SB with the teacher.
Work on project on p. 257 in the SB in groups.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
20
on p. 256 in the SB.
Facilitate and guide students
during group work.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Group project on p. 257 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Continue working on Project on p 257 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 5
Chapter 14: Travel Graphs
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 241 -264
 Solve problems involving velocity-time graphs
15 cm ruler
Protractor
Set square
Date:
Content
Teacher activities
Student activities
Introduction:
Recapping on velocity Lead the discussion by asking The students respond to the teacher’s questions.
5 Minutes
time graphs
students what they
remember about velocitytime graphs as learned in the
previous lesson.
Development:
30 Minutes
Solving problems involving
displacement-time graphs
Facilitate and guide students
as they work on Activity 14.5
on p. 259 in the SB.
Students work on Activity 14.5 on p. 259 in the SB with
guidance from the teacher.
They do Exercise 14.2 on p. 260 in the SB.
Discuss the findings of the
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
21
activity with students.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise question 2 on p. 260 in the SB
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Extension Activity 14.2 on p. 261 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 5
Chapter 14: Travel Graphs
Teacher:
Class:
LESSON 3
Learning Objectives
Resources/Learning Aids/LTSM
Topic test on:
Exploring Mathematics Form 3 PB pp. 241 -264
15 cm ruler
 Draw and interpret displacement-time graphs
Protractor
 Solve problems involving displacement-time graphs
Set square
 Draw and interpret velocity-velocity time graphs
 Solve problems involving velocity-velocity time graphs
Date:
Content
Teacher activities
Student activities
Introduction:
Information on how an End Inform students how End of
Prepares required aids for tackling a revision
5 Minutes
of topic Revision exercise
topic Revision exercise will be exercise
shall be administered.
administered.
Development:
30 Minutes
Administering End of topic
Revision exercise
Conclusion:
5 Minutes
Summarising the lesson
Guide students as they work
on end of topic test; Revision
Exercise on p. 262 in the SB.
Ask students what they have
learned during the exercise.
Students work on the Revision Exercise on p. 262
in the SB.
Respond to the teacher’s questions on what they
have learned.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
22
Total Duration:
40 Minutes
Assessment
Revision exercise all questions on p. 238 in the SB
Assignments/Expanded opportunities
Expand knowledge by visiting internet site on p.
261 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 5
Chapter 14: : Working with variables
Teacher:
Class:
LESSON 4
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Expand and/ simplify algebraic expressions
Date:
Introduction:
5 Minutes
Content
Introducing expanding and
simplifying algebraic
expressions
Teacher activities
Lead the discussion by asking
students what they
remember about expanding
and simplifying expressions
with fewer terms and up to
degree 2 as learned in prior
lessons.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Expanding and simplifying
expressions.
Use the Examples on p. 267 in
the SB to demonstrate to
students how to expand and
simplify.
Students discuss Examples on p. 267 in the SB with the
teacher.
Do Exercise 15.1 on p. 268 in the SB.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
23
Discuss the findings of the
examples with students.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 2 and 3 on p. 260 in the SB
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Extension Activity 15.1 on p. 268 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 5
Chapter 15: Working with variables
Teacher:
Class:
LESSON 5
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Revise factorising expressions
Date:
Introduction:
5 Minutes
Content
Introducing factorisation
Development:
30 Minutes
Factorising simple
expressions
Teacher activities
Lead the discussion by asking
if they still remember
factorisation as the reverse of
expanding.
Use the Examples on p. 270 in
the SB to demonstrate
factorisation to students.
Student activities
The students respond to the teacher’s questions.
Students discuss Examples on p. 270 in the SB with the
teacher.
Exercise 15.2 on p. 271 in the SB.
Conclusion:
5 Minutes
Summarising the lesson
Discuss the findings of the
examples with students.
Ask students what they have
learned and what they need
Respond to the teacher’s questions on what they have
learned.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
24
clarity on.
Total Duration:
40 Minutes
Assessment
Exercise questions 1 and 2 on p. 271 in the SB
Assignments/Expanded opportunities
Support Activity 15.1 on p. 271 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
25
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 6
Chapter 15: Working with variables
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
 Add and subtract to express as a single algebraic fraction Exploring Mathematics Form 3 PB pp. 265 - 286
Date:
Introduction:
5 Minutes
Content
Introducing algebraic
fractions
Teacher activities
Lead the discussion by asking
students about adding and
subtracting ordinary fractions
and simple algebraic fractions
that students already know.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Expressing algebraic
fractions as a single
fraction
Lead the discussion on
expressing algebraic fractions
as a single fraction by working
on Examples where
denominators have a single
term as on p. 272 in the SB.
Students discuss Examples on p. 272 and 273 in the SB with the
teacher.
Do Exercise 15.3 on p. 273 in the SB.
Demonstrate simplifying
algebraic fractions where
there are two terms as in the
example on p. 273 in the SB.
Conclusion:
5 Minutes
Summarising the lesson
Ask students what they have
learned and what they need
clarity on.
Respond to the teacher’s questions on what they have learned.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
26
Total Duration:
40 Minutes
Assessment
All Exercise questions on p. 273 in the SB
Assignments/Expanded opportunities
Support Activity 15.2 on p. 273 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 6
Chapter 15: Working with variables
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Multiply and divide to express as a single algebraic
fraction
Date:
Introduction:
5 Minutes
Content
Introducing multiplying and
dividing algebraic fractions
Teacher activities
Lead the discussion by
multiplying and dividing
ordinary fractions and simple
algebraic fractions.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Multiplying and dividing
algebraic fractions to
produce single fractions
Lead the discussion on
expressing algebraic fractions
as a single fraction as per the
examples on p. 274 in the SB.
Students discuss Examples on p. 274 in the SB with the
teacher.
Ask students what they have
learned and what they need
clarity on.
Respond to the teacher’s questions on what they have
learned.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
All Exercise questions on p. 274 in the SB
Do Exercise 15.4 on p. 274 in the SB.
Assignments/Expanded opportunities
Activity on p. 275 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
27
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 6
Topic 6: Working with variables
Teacher:
Class:
LESSON 3
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Factorising quadratic expressions
Date:
Introduction:
5 Minutes
Content
Introducing quadratic
expressions
Teacher activities
Lead the discussion by
explaining what quadratic
expressions are.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Factorising quadratic
expressions with 1 as a
coefficient of x2
Demonstrate to students how
quadratic expressions are
factorised as per a
demonstration through
examples on p. 276 in the SB.
Students discuss Examples on p. 276 and in the SB with the
teacher.
Explain grouping of like terms
together and factorising.
Do Exercise 15.5 on p. 274 in the SB.
Students work in pairs to rewrite expressions into four terms
as in Activity 15.4 on p. 277 in the SB.
Guide students as they work
on activity 15.4 in pairs.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
Assessment
Ask students what they have
learned and what they need
clarity on.
Respond to the teacher’s questions on what they have learned.
Assignments/Expanded opportunities Work on examples on p.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
28
40 Minutes
All Exercise questions on p. 277 in the SB
277 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 6
Chapter 15: Working with variables
Teacher:
Class:
LESSON 4
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Factorising quadratic expressions
Date:
Introduction:
5 Minutes
Content
Introducing quadratic
expressions with x2 having
a coefficient of more than
1
Teacher activities
Lead the discussion by asking
students on factorising of
expressions with x2 having a
coefficient of 1 that students
already know.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Factorising quadratic
expressions with x2 having
a coefficient of more than
1
Demonstrate to students how
quadratic expressions with x2
with a coefficient more than 1
are factorised as on a
demonstration through
examples on p. 277 in the SB.
Students discuss Examples on p. 277 in the SB
with the teacher.
Conclusion:
5 Minutes
Summarising the lesson
Ask students what they have
learned and what they need
clarity on.
Total Duration:
40 Minutes
Assessment
All Exercise questions on p. 278 in the SB
Do Exercise 15.6 on p. 278 in the SB.
 G
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities Work on
examples on p. 277 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
29
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 6
Chapter 15: Working with variables
Teacher:
Class:
LESSON 5
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Factorising perfect squares
Date:
Introduction:
5 Minutes
Content
Introducing perfect squares
Teacher activities
Lead the discussion by
explaining what perfect
squares are.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Factorising perfect squares
Lead and guide students as
they investigate perfect
square quadratic expressions
in Activity 15.5 on p. 279 in
the SB.
Discuss the findings of the
activity with students.
Students explore by working on Activity 15.5 on p. 279
in the SB with the teacher.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
Assessment
Discuss examples of perfect
square with students on p.
280 in the SB.
Ask students what they have
learned and what they need
clarity on.
Work on examples on perfect square on p. 280 in the
SB.
Do Exercise 15.7 on p. 280 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
30
40 Minutes
All Exercise questions on p. 280 in the SB
Activity 15.6 on p. 281 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 7
Chapter 15: Working with variables
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Factorising the difference of two squares
Date:
Introduction:
5 Minutes
Content
Introducing the difference
of two squares
Teacher activities
Lead the discussion by
explaining the difference of
two squares and
demonstrating with examples
on p. 282 in the SB.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Factorising the difference
of two squares
Discuss examples of
factorising the difference of
two squares as in the
examples on p. 282 in the SB.
Ask students what they have
learned and what they need
clarity on.
Discuss and ask questions when they work on the
examples on p. 282 in the SB.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
All Exercise questions on p. 283 in the SB
Do Exercise 15.8 on p. 283 in the SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Activity 15.6 on p. 281 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
31
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 7
Chapter 15: Working with variables
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 265 - 286
 Factorise to simplify fractions
Date:
Introduction:
5 Minutes
Content
Introducing factorising to
simplify fractions
Teacher activities
Lead the discussion by asking
students about factorising
quadratic expressions that
students already know.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Factorising to simplify
fractions
Discuss the examples on p.
284 in the SB; demonstrate
simplifying algebraic fractions
by first factorising the
denominators where
possible.
Ask students what they have
learned and what they need
clarity on.
Discuss and ask questions when they work on the
examples on p. 284 in the SB.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
All Exercise questions on p. 284 in the SB
Do Exercise 15.9 on p. 284 in the SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Explore websites with urls shown on p. 284 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
32
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 7
Chapter 15: Working with Variables
Teacher:
Class:
LESSON 3
Learning Objectives
Resources/Learning Aids/LTSM
Topic test on:
Exploring Mathematics Form 3 PB pp. 265 - 286
 Expand and or/ simplify algebraic expressions of up to
four terms and of degree 3
 Express as a single fraction, algebraic fractions with two
terms and of degree 3, with both numerator and
denominator having two terms
 Factorise quadratic expressions and include the concept
of difference of two squares
Date:
Content
Teacher activities
Student activities
Introduction:
Information on how the
Inform students how end of
Prepare required aids for tackling a revision
5 Minutes
end of topic Revision
topic Revision exercise will be exercise.
exercise shall be
administered.
administered
Development:
30 Minutes
Administering End of topic
Revision exercise
Guide students as they work
on end of topic test; Revision
Exercise on p. 285 in the SB.
Ask students what they have
learned during the exercise.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise all questions on p. 285 in the SB
Students work on Revision Exercise on p. 285 in the
SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Expand knowledge by visiting internet site on p. 284
in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
33
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 7
Chapter 16: Formulae
Teacher:
Class:
LESSON 4
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 287 - 300
 Revise working with formulae
Date:
Introduction:
5 Minutes
Content
Introducing formulae
Teacher activities
Lead the discussion by asking
students about formulae that
they already know from Form
2.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Revising formulae
Guide students as they work
on Activity 16.1 on p. 289 in
the SB stating what the
formula is used for.
Discuss and ask questions when they work on the
examples on p. 284 in the SB.
Lead the discussion by
working through Extension
Activity 16.1 with the
students.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Working on Investigation on p. 292 as homework
Discuss Extension Activity 16.1 and ask questions
about the activity where they do not understand.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Investigation on p. 292 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
34
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 7
Chapter 16: Formulae
Teacher:
Class:
LESSON 5
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 287 - 300
 Changing subject of the formulae using factorising
Date:
Introduction:
5 Minutes
Content
Introducing changing
subject of the formula
Teacher activities
Lead the discussion by asking
students what changing
subject of the formula means.
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Changing subject of the
formulae using factorising
Discuss with examples on p.
293 in the SB; demonstrating
how to factorise in order to
change subject of the formula
where the variable is in more
than one term.
Ask students what they have
learned and what they need
clarity on.
Discuss and ask questions as they work on the examples on
p. 293 in the SB.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 1 and 2 on p. 295 in the SB
Do Exercise 16.2 on p. 295 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
35
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 8
Chapter 16: : Formulae
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 287 - 300
 Changing subject of the formulae using square roots
Date:
Introduction:
5 Minutes
Development:
30 Minutes
Content
Introducing changing
subject of the formula
using cube roots
Changing subject of the
formulae using square
roots
Teacher activities
Lead the discussion by asking
students question on square
roots.
Discuss the examples on p.
294 in the SB; demonstrating
how to take a cube root to
change subject of the
formula.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 3, 4, 5, 6, 7, 8 and 9 on p. 295 in the SB
Student activities
The students respond to the teacher’s questions.
Discuss and ask questions as they work on examples
on p. 294 in the SB.
Do Exercise 16.2 on p. 295 in the SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 8
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
36
Chapter 16: Formulae
LESSON 2
Learning Objective
 Changing subject of the formulae using cube roots
Teacher:
Class:
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 287 - 300
Date:
Introduction:
5 Minutes
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Content
Introducing changing
subject of the formula
using cube roots
Changing subject of the
formulae using cube roots
Teacher activities
Lead the discussion by asking
students questions on cube
roots.
Discuss with examples on p.
294 in the SB; demonstrating
how to take a cube root in
order to change subject of the
formula when the variable is
cubed and how to cube it
when a variable is a cube
root.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 10 and 11 on p. 295 in the SB
Chapter 16: Formulae
Discuss and ask questions as they work on examples
on p. 294 in the SB.
Do Exercise 16.2 on p. 295 in the SB.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Activity on p. 295 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 8
Teacher:
Class:
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
37
LESSON 3
Learning Objective
 Solving problems by changing subject of the formula as
applied in real life situations
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 287 - 300
Date:
Introduction:
5 Minutes
Content
Introducing solving
problems by changing
subject of the formula
Student activities
The students respond to the teacher’s questions.
Development:
30 Minutes
Solving problems by
changing subject of the
formula as applied in real
life situations
Teacher activities
Lead the discussion by asking
students questions on
changing subject of the
formula.
Guide students as they work
on Activity 16.3 on p. 296 in
the SB, solving problems
involving changing subject of
the formula.
Discuss the findings of the
activity with students.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 2, 3 and 4 on p. 297 in the SB
Chapter 16: Formulae
LESSON 4
Learning Objectives
Discuss and work on Activity 16.3 on p. 296 in the SB
solving problems that involve changing subject of the
formula.
Do Exercise 16.3 on p. 297 in the SB.
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Extension Activity 16.2 on p. 297 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 8
Teacher:
Class:
Resources/Learning Aids/LTSM
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
38
Topic test on
 Change the subject of the formula to a specified variable
by involving the use of factorising, square roots and
cube roots
 Solve problems involving changing the subject of a
formula as applied in practical situations of life
Content
Teacher activities
Information on how a
Inform students how end of
Revision exercise shall be
topic exercise will be
administered.
administered.
Exploring Mathematics Form 3 PB pp. 287 - 300
Development:
30 Minutes
Administering End of topic
Revision exercise
Students work on Revision Exercise on p. 299 in the
SB.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise all questions on p. 299 in the SB
Date:
Introduction:
5 Minutes
Guide students as they work
on end of topic test; Revision
Exercise on p. 299 in the SB.
Ask students what they have
learned during the exercise.
Student activities
Prepare required aids for tackling a revision
exercise.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Activity on p. 299 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 8
Chapter 17: Quadratic Equations
Teacher:
Class:
LESSON 5
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 303 - 318
 Solve quadratic equations of the form (x + m)(x + n) = 0
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
39
Date:
Introduction:
5 Minutes
Content
Introducing quadratic
equations
Development:
30 Minutes
Solving quadratic equations
of the form
(x + m)(x + n) = 0
Teacher activities
Lead the discussion by asking
students questions on
factorising quadratic
expression.
Help students to solve
quadratic equations as they
investigate equations with
factors as in Support Activity
17.1 on p. 305 in the SB.
Student activities
The students respond to the teacher’s questions.
Work on Support Activity 17.1 on SB p. 305.
Discuss example on solving quadratic equation with
the teacher.
Do Exercise 17.1 on p. 306 in the SB.
Discuss and demonstrate
solving quadratic equations
with an example on p. 305 in
the SB.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 1 - 5 on p. 306 in the SB
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Exercise 17.1 Questions 6 - 10 on p. 306 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 9
Chapter 17: : Quadratic Equations
Teacher:
Class:
LESSON 1
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 303  Solve quadratic equations of the form ax2 + bx + c
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
40
318
Date:
Introduction:
5 Minutes
Content
Introducing quadratic
equations of the form
ax2 + bx + c
Teacher activities
Lead the discussion by asking
students question on
factorising the quadratic
expression of the form
ax2 + bx + c.
Discuss and demonstrate
solving quadratic of the form
ax2 + bx + c with examples on
p. 306 in the SB
Ask students what they have
learned and what they need
clarity on.
Development:
30 Minutes
Solving Quadratic
equations of the form
ax2 + bx + c = 0
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 1–3 on p. 307 in the SB
Student activities
The students respond to the teacher’s
questions.
Discuss example on solving quadratic
equations with the teacher.
Do Exercise 17.2 on p. 307 in the SB.
Respond to the teacher’s questions on what
they have learned.
Assignments/Expanded opportunities
Exercise 17.1 Questions 4 & 5 on p. 307 in the
SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 9
Chapter 17: Quadratic Equations
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 303 - 318
 Solve quadratic equations by simplifying first
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
41
Date:
Introduction:
5 Minutes
Content
Introducing solving
quadratic equations by
simplifying first
Development:
30 Minutes
Solving Quadratic
equations by simplifying
first
Teacher activities
Lead the discussion by asking
students question on solving
quadratic equations of the
form.
Discuss and demonstrate
solving quadratic equations
that need simplifying first
with an example on p. 307 in
the SB.
Student activities
The students respond to the teacher’s
questions.
Guide students as they work
on Activity 17.1 on p. 308 in
the SB that entails discussing
a common error in solving
quadratic equations.
Ask students what they have
learned and what they need
clarity on.
Do Exercise 17.3 on p. 308 in the SB.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 1 – 9 on p. 307 in the SB
Discuss example on solving quadratic equations
with the teacher as on p. 307 in the SB.
Discuss a common error in solving quadratic
equations using Activity 17.1 on p. 307 in the
SB.
Respond to the teacher’s questions on what
they have learned.
Assignments/Expanded opportunities
Extension Activity 17.1 on p. 308 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 9
Chapter 17: Quadratic Equations
Teacher:
Class:
LESSON 3
Learning Objective
Resources/Learning Aids/LTSM
 Solve problems involving quadratic equations as applied Exploring Mathematics Form 3 PB pp. 303 - 318
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
42
in practical situations
Date:
Introduction:
5 Minutes
Development:
30 Minutes
Content
Introducing solving
involving quadratic
equations
Solving problems involving
quadratic equations as
applied in practical
situations
Teacher activities
Lead the discussion by asking
students questions on solving
quadratic equations.
Discuss and demonstrate
solving problems involving
the quadratic equation with
an example on p. 309 in the
SB.
Student activities
The students respond to the teacher’s questions.
Discuss example on solving quadratic equations
with the teacher as on p. 309 in the SB.
Discuss an applied problem using a quadratic
equation using Activity 17.2 on p. 311 in the SB.
Do Exercise 17.4 on p. 308 in the SB.
Guide students as they work
on Activity 17.2 on p. 311 in
the SB that entails solving an
applied problem.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise questions 1 – 3 on p. 311 in the SB
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Exercise 17.4 questions 5 – 7 on p. 311 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 9
Chapter 17: Quadratic Equations
Teacher:
Class:
LESSON 4
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 303 - 318
 Use a spreadsheet to find approximate solutions to
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
43
quadratic equations
Computer projector
Spreadsheet
Date:
Introduction:
5 Minutes
Content
Introducing solving
quadratic equations by
spreadsheet
Teacher activities
Lead the discussion on how
sometimes quadratic
equations do not factorise in
real life situations and
solutions can be
approximated thanks to
spreadsheet application.
Student activities
The students respond to the teacher’s questions.
Students take notes during the discussion.
Development:
30 Minutes
Using a spreadsheet to find
approximate solutions to
quadratic equations
Project the spreadsheet on
the board.
Discuss an example on finding
the approximate solution on
p. 312 in the SB.
Discuss the example on solving quadratic equations with
spreadsheet as on p. 312 in the SB.
Discuss an applied problem using spreadsheets using
Activity 17.3 on p. 314 in the SB.
So Exercise 17.5 on p. 314 in the SB.
Guide students as they work
on Activity 17.3 on p. 314 in
the SB where they must solve
a problem using a
spreadsheet.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise question 1 on p. 314 in the SB
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Exercise 17.5 questions 2 on p. 311 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 9
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
44
Chapter 17: Quadratic Equations
LESSON 5
Learning Objectives
Topic test on:
 Solve quadratic equations by factorization
 Solve problems involving quadratic equations as applied
in practical life situations
 Use spreadsheet to solve quadratic equations
Date:
Content
Teacher activities
Introduction:
Information on how a
Inform students how end of
5 Minutes
Revision exercise shall be
topic Revision exercise will be
administered
administered.
Teacher:
Class:
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 303 - 318
Development:
30 Minutes
Administering End of topic
Revision exercise
Students work on Revision Exercise on p. 317 in the
SB.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Revision exercise all questions on p. 317 in the SB.
Chapter 18: Quadratic Graphs
Guide students as they work
on end of topic test; Revision
Exercise on p. 317 in the SB
Ask students what they have
learned during the exercise.
Student activities
Prepares required aids for tackling a revision exercise.
Respond to the teacher’s questions on what they
have learned.
Assignments/Expanded opportunities
Extension Activity 17.3 on p. 316 in the SB
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 10
Teacher:
Class:
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
45
LESSON 1
Learning Objective
 Use the graphical method to solve quadratic equations
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 303 - 318
Graph pads
Ruler
Date:
Introduction:
5 Minutes
Content
Introducing the graphical
method to solve quadratic
equations
Teacher activities
Lead the discussion by asking
students to read the
introduction that states the
rationale of quadratic
equations on p. 320 in the SB.
Student activities
Read and discuss the introduction in the SB which lays
the rationale of quadratic equations
Development:
30 Minutes
Using graphical method to
solve quadratic equations
Guide students as they work
on Support Activity 18.1 on p.
321 in the SB to:
Discuss solving quadratic equations graphically using
Activity 18.1 on p. 321 in the SB.
Conclusion:
5 Minutes
Total Duration:
40 Minutes
Discuss the example on p. 326 in the SB.
– Draw and complete table of
coordinates
– Plot the coordinates on a
Cartesian plane and join them
to form a smooth graph
– Solve a problem that entails
a parabola facing down where
x2 is negative as example on
p. 326 of SB.
Summarising the lesson
Ask students what they have
Respond to the teacher’s questions on what they have
learned and what they need
learned.
clarity on.
Assessment
Assignments/Expanded opportunities
Exercise question 1 on p. 327 in the SB (Assignment)
Exercise 18.1 question 1 on p. 327 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
46
LESSON PLAN FOR MATHEMATICS FORM THREE
TERM 2 WEEK 10
Chapter 18: Quadratic Graphs
Teacher:
Class:
LESSON 2
Learning Objective
Resources/Learning Aids/LTSM
Exploring Mathematics Form 3 PB pp. 303 - 318
 Solve applied problems by using graphical methods in
Graph pads
quadratic equations
Ruler
Date:
Introduction:
5 Minutes
Content
Introducing solving applied
problems by using
graphical methods in
quadratic equations
Teacher activities
Lead the discussion by asking
students questions on solving
quadratic equations
graphically.
Student activities
Respond to the teacher’s questions.
Development:
30 Minutes
Solve applied problems by
using the graphical method
Guide students as they work
on Activity 18.4 on p. 331 in
the SB.
Discuss solving applied problems graphically by working
on Activity 18.4 on p. 331 in the SB.
Do Exercise 18.3 on p. 332 in the SB.
Discuss the activity with
students.
Ask students what they have
learned and what they need
clarity on.
Conclusion:
5 Minutes
Summarising the lesson
Total Duration:
40 Minutes
Assessment
Exercise question 3 on p. 332 in the SB
Respond to the teacher’s questions on what they have
learned.
Assignments/Expanded opportunities
Activity 18.5 on p. 332 in the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
47
Download