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LESSON PLAN FOR EXPLORING MATHEMATICS FORM THREE
TERM 1
WEEK 1
Chapter 1: Types of numbers
Teacher:
LESSON 1
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Date:
Learning Objectives
 Classify numbers as whole, natural, integers, rational, irrational
and real numbers.
 Use calculator to solve problems involving the four basic
operations on different types of numbers
Content
Teacher activities
Introduction: 5
minutes
Introduction to classifying
numbers
Respond to the teacher’s question.
Development:
25 minutes
Classifying numbers
Conclusion:
10 minutes
Reviewing the lesson
Total duration:
40 minutes
Assessment
Activity 1.1 on SB p. 4
Ask the students “What are the types of
numbers?” Emphasise the difference
between whole numbers and counting
numbers.
Ask students to list the first 10 of each
type. Develop the lesson using the
diagram in SB p. 2.
Use the diagram on SB p. 3 to summarise
the lesson.
Ask pupils to add two – five numbers in
oval.
Class:
Student activities
Draw their own diagram in their exercise
books according to the teacher’s drawing.
Respond to the teacher’s question.
Assignments/expanded opportunities
Extension activity 1.1 on SB p. 4
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
2
LESSON PLAN FOR EXPLORING MATHEMATICS FORM THREE
TERM 1
WEEK 1
Topic 1: Types of numbers
Teacher:
Class:
LESSON 2
Learning Objective
 Classify numbers as whole, natural, integers, rational, irrational and
real numbers.
 Use calculator to solve problems involving the four basic operations
on different types of numbers
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Content
Teacher activities
Student activities
Introduction:
5 minutes
Introduction to rational
and irrational numbers
Lead the review of the previous lesson
with text on SB p. 5.
Write down the steps followed by the
teacher.
Development:
25 minutes
Concept development
Develop the lesson using Activity 1.2 on
SB p. 6.
Pupils work on Activity 1.2 on SB p. 6.
Conclusion:
10 minutes
Reviewing the lesson
Use diagram on SB p. 3 to summarise the
lesson.
Ask pupils to add two – five numbers to
the list in each oval.
Respond to the teacher’s question
Total
duration:
40 minutes
Assessment
Activity 1.3 on p. 8
Assignments/expanded opportunities
Support Activity 1.2 on SB p. 7
Investigation on SB p. 8
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
3
LESSON PLAN FOR EXPLORING MATHEMATICS FORM THREE
TERM 1
WEEK 1
Chapter 1: Types of numbers
Teacher:
LESSON 3
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Calculator
Date:
Learning Objective
 Classify numbers as whole, natural, integers, rational, irrational
and real numbers
 Use calculator to solve problems involving the four basic
operations on different types of numbers
Content
Teacher activities
Introduction: 5
minutes
Preparation on how to
use a calculator
Remind students about specific rules in
number operation including: commutative
law, associative laws, distributive laws and
the identity: multiplication directed
numbers: BODMAS
Recall the number operation rules as required
by the teacher.
Concept development
Lead the development through the text on
SB p. 12 and 13 and example on SB p.
13.
Write notes following the teacher’s steps.
Work on Exercise 1.2 ???
Summarise the features of the calculator
in relation to the operations.
Students check if the calculators they use
follow the rules of operations.
Development:
25 minutes
Conclusion:
10 minutes
Summary
Total duration:
40 minutes
Assessment
Revision Exercise on SB p. 15 in the SB
Class:
Student activities
Assignments/expanded opportunities
Extension Activity 1.2 on SB p. 12
Exercise Homework
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
4
Term 1 Week 1
Chapter 1: Types of numbers
Teacher:
LESSON 4
Learning Objective
 Classify numbers as whole, natural, integers, rational, irrational
and real numbers
 Use calculator to solve problems involving the four basic
operations on different types of numbers
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3Computer with
calculator capability
calculator
Student activities
Introduction: 5
minutes
Using the calculator
Identify the different buttons on the
calculator and their functions.
Development:
25 minutes
Concept development
Ask students to identify the different key
buttons on the calculator.
Write the buttons on the board.
Lead the discussion with examples on
using calculators on SB p. 15
Conclusion:
10 minutes
Reviewing the lesson
Ask students what they discovered about
how calculators handle the number
operations.
Recall from the exercise about the number
operation rules they learned in the lesson.
Total duration:
40 minutes
Assessment
Exercise 1.3 on SB p. 16
Revision exercise on SB pp. 17-18
Date:
Class:
Go through the examples with the teacher.
Work on Exercise 1.3 on SB p. 16.
Assignments/expanded opportunities
Homework on SB p. 16
Extension activity 1.3 on SB p. 17
ICT Activity on SB p. 17
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
5
Term 1 Week 1
Chapter 2: Patterns and sequences
LESSON 5
Learning Objective
 Describe in words the pattern of a linear sequence
 State in algebraic form the pattern of a linear sequence
 Generate a sequence of numbers that consists of whole numbers,
directed numbers, fractions and decimal numbers
 Use patterns of sequences to represent a given situation and use
them to solve real life situations
Content
Teacher activities
Resources/Learning
Resources/Learning
Exploring Mathematics
Exploring Mathematics
Calculator
Introduction: 5
minutes
Patterns and sequences
Ask students to list patterns in a real life
situation they know.
Students brainstorm the question from the
teacher.
Development:
25 minutes
Describing patterns of
sequences
Lead students through Activity 2.1 on SB
p. 21.
Work through Activity 2.1 on SB p. 21 in
pairs.
Explains linear sequences using their
experiences from Activity 2.1 on SB p. 21.
Work on Activity 2.2 on SB p. 21 individually.
Underline the terms used in sequences so
far.
Students check if the calculators they use
follow the rules of operations.
Date:
Conclusion:
10 minutes
Summary
Total duration:
40 minutes
Assessment
Exercise 2.1 on SB p. 22
Revision exercise on SB p. 35
Aids/LTSM
Aids/LTSM
PB 3
TG 3
Student activities
Assignments/expanded opportunities
Homework on SB p. 23 of the SB
Internet homework on SB p. 26 of the SB
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
6
Term 1 Week 2
Chapter 2: Patterns and sequences
LESSON 1
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Calculator
Date:
Learning Objectives
 Describe in words the pattern of a linear sequence
 State in algebraic form the pattern of a linear sequence
 Generate a sequence of numbers that consists of whole numbers,
directed numbers, fractions and decimal numbers
 Use patterns of sequences to represent a given situation and use
them to solve real life situations.
Content
Teacher activities
Introduction: 5
minutes
Introducing linear
sequences
Ask students what a linear sequence is.
Students discuss what linear sequences are.
Development:
25 minutes
Linear sequences
Develop the lesson through the examples
on SB p. 22 and p. 24
Conclusion:
10 minutes
Review of the lesson
Correct or give students answers to
activities and exercises.
Work on Activity 2.2 on SB p. 23.
Work on Exercise 2.3 on SB p. 23.
Students do Activity 2.4 on SB p. 25.
Students do Exercise 2.3 on SB p. 25.
Students mark their own work as the teacher
gives them answers.
Total duration:
40 minutes
Assessment
Exercise 2.2 on SB p. 23
Exercise 2.3 on SB p. 25
Student activities
Assignments/expanded opportunities
Support work on SB p. 23
Support activity 2.1 on SB p. 22
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
7
Term 1 Week 2
Chapter 2: Patterns and sequences
LESSON 2
Learning Objectives
 Describe in words the pattern of a linear sequence
 State in algebraic form the pattern of a linear sequence
 Generate a sequence of numbers that consists of whole numbers,
directed numbers, fractions and decimal numbers
Use patterns of sequences to represent a given situation and use them
to solve real life situations.
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Introduction:
5 minutes
General formula
Ask students what they have learned
about sequences.
Respond to the teacher’s question.
Development:
25 minutes
General formula
Lead the students in coming up with the
formula for linear sequences. Work with
the class on the example on SB p. 25 and
example on SB p. 26.
Use the formula to work out sequences in
Exercises 2.4 on SB p. 27 and 2.5 on SB p.
28
Conclusion:
10 minutes
Total duration:
30 minutes
Summary of the lesson
Date:
Assessment
Exercise 2.4 and 2.5 on SB p. 27 and p. 28
Student activities
Assignments/expanded opportunities
Extension activity 2.1 on SB p. 27
Extension activity 2.2 on SB p. 28.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
8
Term 1 Week 2
Chapter 2: Patterns and sequences
LESSON 3
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Learning Objectives
 Describe in words the pattern of a linear sequence
 State in algebraic form the pattern of a linear sequence
 Generate a sequence of numbers that consists of whole numbers,
directed numbers, fractions and decimal numbers
 Use patterns of sequences to represent a given situation and use
them to solve real life situations.
Content
Teacher activities
Introduction:
5 minutes
Linear sequences in real
life
Respond to the teacher’s questions. Among
them may be questions about zebras, baskets,
blankets.
Development:
25 minutes
Linear sequences in real
life
Lead discussion on situations resembling
linear sequences in real life.
Use the students’ response to emphasise
the difference between a sequence and a
pattern. Zebras may show patterns which
are not necessarily sequences.
Develop the lesson through examples on
SB p. 29/30.
Conclusion:
10 minutes
Total duration:
30 minutes
Review of the lesson
Give students feedback on their work.
Students compare their work with the
teacher’s feedback.
Assignments/expanded opportunities
ICT Activity on SB p. 31
Investigations on SB p. 32-33
Extension activity 2.3 on SB p. 34
Internet research on SB p. 34
Assessment
Exercise 2.6 on SB p. 30
Revision exercise on pp. 30-31 in the SB.
Student activities
Work on Exercise 2.6 on SB p. 30.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
9
Term 1 Week 2
Chapter 3: Indices
LESSON 4
Learning Objectives
 Interpret integral and positive fractional indices
 Simplify expressions involving integral and positive fractional
indices
 Solve problems involving integral and positive fractional indices
 Order numbers expressed in standard form
 Solve problems involving numbers expressed in standard form.
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Introduction to indices
Students respond to teacher’s questions.
Development:
25 minutes
Interpreting indices
Discuss terminology with students. Words
include: power index exponent and
coefficient.
Develop the lesson by going through the
rules of indices on SB p. 39.
Conclusion:
10 minutes
Reviewing the lesson
Total duration:
30 minutes
Assessment
Activity 3.2 on SB p. 41
Lead the students through fractional
indices by using text on SB p. 40 and the
example on SB p. 40.
Ask the students what they have learned
in this lesson. Give students answers to
activities.
Work on Activity 3.1 on SB p. 39.
Do Support activity 3.1 on SB p. 41.
Do Activity 3.2 on SB p. 41.
Students mark their own work as per teacher’s
answers.
Assignments/expanded opportunities
Homework exercise on SB p. 40
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
10
Term 1 Week 2
Topic 3: Indices
LESSON 5
Learning Objectives
 Interpret integral and positive fractional indices
 Simplify expressions involving integral and positive fractional
indices
 Solve problems involving integral and positive fractional indices
 Order numbers expressed in standard form
 Solve problems involving numbers expressed in standard form.
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Reviewing previous work
Help students recall working with
fractional indices.
Students respond to the teacher’s questions.
Development:
25 minutes
Algebraic indices
Develop the lesson with examples on SB
p. 41.
Students work on Exercise 3.1 on SB p. 42
Lead the discussion on expressions on
fractional indices through examples on SB
p. 42
Ask students what they have learnt in the
topic
Students work on Exercise 3.2 on SB p. 43.
Conclusion:
10 minutes
Total duration:
30 minutes
Reviewing the lesson
Assessment
Students summarise what they have learned.
Assignments/expanded opportunities
Support activity on SB p. 41
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
11
Term 1 Week 3
Chapter 3: Indices
LESSON 1
Learning Objectives
 Interpret integral and positive fractional indices
 Simplify expressions involving integral and positive fractional
indices
 Solve problems involving integral and positive fractional indices
 Order numbers expressed in standard form
 Solve problems involving numbers expressed in standard form.
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Problems involving
indices
Go over the work of the previous lesson.
Students respond to the teacher’s questions.
Development:
25 minutes
Problems involving
indices
Develop the lesson through Activity 3.3 on
SB p. 43 as an example.
Give more examples if some students are
falling behind.
Work on Activity 3.3 on SB p. 43 with the
teacher.
Work on Activity 3.4 and Exercise 33 on SB
p. 44.
Conclusion:
10 minutes
Total duration:
80 minutes
Reviewing the lesson
Give answers to Activity 3.4 on SB p. 44
and Exercise 3.3 p. 44 to the students.
Mark their own work as per teacher’s answers
Assessment
Exercise 3.3 on SB p. 44
Assignments/expanded opportunities
Project on SB p. 45
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
12
Term 1 Week 3
Chapter 3: Indices
LESSON 2
Learning Objectives
 Interpret integral and positive fractional indices
 Simplify expressions involving integral and positive fractional
indices
 Solve problems involving integral and positive fractional indices
 Order numbers expressed in standard form
 Solve problems involving numbers expressed in standard form.
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Introduction: 5
minutes
Standard form
Introduce the lesson with a discussion of
the new words on SB p. 45.
Students write new words in their exercise
books.
Development:
25 minutes
Standard form
Develop the lesson with the text on SB pp.
45-46 and Support activity 3.2.
Introduce ordering of numbers in standard
form through Activity 3.5 on SB p. 47
Ask students about problems involving
standard form.
Ask what they have learned in the lesson.
Work on Exercise 3.4 on SB p. 47.
Date:
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Assessment
Revision test on SB p. 51
Exercise 3.5 on SB p. 48
Student activities
Work on Exercise 3.5 on SB p. 48.
Answer the teacher’s questions.
Assignments/expanded opportunities
ICT Activity 3.1 on SB p. 46
Extension Activity 3.1 on SB p. 49
ICT Activity 3.2 on SB p. 50
Internet Access on SB p. 50
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
13
Term 1 Week 3
Chapter 4 Money
LESSON 3
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Learning Objectives
 Solve problems involving compound interest
 Solve problems involving depreciation
 Solve problems involving appreciation
 Calculate percentage increase of basic commodities due to
inflation
Content
Teacher activities
Introduction: 5
minutes
Solving problems
involving interest
Remind students of simple interest
through examples on SB p. 55.
Do Exercise 4.1 on SB p. 56.
Development:
25 minutes
Solving problems
involving interest
Develop the concept of compound interest
through examples on SB p. 57.
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Give students answers to exercises.
Follow and write teacher’s explanation in
their exercise books.
Work on Activity 4.1 on SB p. 58 and
Exercise 4.2 on SB p. 59
Correct their own answers against the
teacher’s.
Assignments/expanded opportunities
Homework Exercise on SB p. 60
Internet Access on SB p. 60.
Assessment
Revision exercise on SB p. 59 of SB
Student activities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
14
Term 1 Week 3
Chapter 4 Money
LESSON 4
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Learning Objectives
 Solve problems involving compound interest
 Solve problems involving depreciation
 Solve problems involving appreciation
 Calculate percentage increase of basic commodities due to
inflation
Content
Teacher activities
Introduction: 5
minutes
Introducing Value
Added Tax (VAT)
Ask students what they know about tax
and especially VAT.
Students talk about what they know about
VAT.
Development:
25 minutes
Concept development
Develop the lesson through examples on
SB p. 61.
Write the examples following the teacher.
Work on Exercise 4.3 on SB p. 62.
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Go through some useful information on
VAT on SB p. 63.
Write the useful information in their exercise
books.
Assignments/expanded opportunities
Assessment
Exercise 4.3 on SB p. 62
Student activities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
15
Term 1 Week 3
Chapter 4 Money
LESSON 5
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Learning Objectives
 Solve problems involving compound interest
 Solve problems involving depreciation
 Solve problems involving appreciation
 Calculate percentage increase of basic commodities due to
inflation
Content
Teacher activities
Introduction:
5 minutes
Appreciation and
depreciation
Discuss terminology and new words on SB
p. 63 and see if students know the words.
Write definition and explanations of
terminology as explained by the teacher
Development
:
25 minutes
Depreciation
Develop the concept of depreciation with
examples on SB pp. 63-64.
Work on exercise 4.4 on SB p. 65.
Develop the concept of appreciation.
Give students answers to exercises.
Work on exercise 4.5 on SB p. 66
Compare the teachers answers to theirs and
make corrections
Assignments/expanded opportunities
Extension Activity 4.1 on SB p. 65
Conclusion:
10 minutes
Total
duration:
40 minutes
Reviewing the lesson
Assessment
Exercise 4.3 on SB p. 62
Exercise 4.4 on SB p. 65
Student activities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
16
Term 1 Week 4
Chapter 4: Money
LESSON 1
Learning Objectives
 Solve problems involving compound interest
 Solve problems involving depreciation
 Solve problems involving appreciation
 Calculate percentage increase of basic commodities due to
inflation
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Introduction:
5 minutes
Inflation
Find out if students know what inflation is.
Respond to the teacher’s probing questions.
Development
:
25 minutes
Working with inflation
Develop the concept of inflation with
examples on SB p. 67.
Work on Exercise 4.6 on SB pp. 67-68.
Conclusion:
10 minutes
Reviewing the lesson
Emphasise important issues around
inflation.
Write important points about inflation in their
exercise books.
Total
duration:
40 minutes
Assessment
Revision exercise on SB p. 71
Date:
Student activities
Assignments/expanded opportunities
Project on SB p. 68
Extension activity 4.2 on SB p. 70
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
17
Term 1 Week 4
Topic 5: Matrices
LESSON 2
Learning Objectives
 Multiply a matrix by another matrix with both matrices comprising
up to 4 columns and up to 4 rows.
 Investigate associativity, commutativity and identity of a 2 by 2
matrix in arithmetic computation
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Introduction:
5 minutes
Introducing matrices
Tell the teacher what they remember from
previous years
Development
:
25 minutes
What are matrices
Conclusion:
10 minutes
Review the lesson
Total
duration:
40 minutes
Assessment
Exercise 1 on SB p. 78 of the SB
Date:
Remind students about matrices from the
previous year through new words on SB
pp. 74-75.
Develop the matrices using example on
SB p. 74 and text on SB p. 75.
Emphasise the importance of the order of
a matrix
Emphasise rows and columns and alert
students to not interchanging rows and
columns.
Give students answers to Support Activity
5.1 on SB p. 76
Student activities
Write teacher’s explanation in their exercise
books.
Work on Support activity 5.1 on SB p. 76.
Check their answers against the teacher’s.
Assignments/expanded opportunities
Support activity on SB p.76
Extension activity on SB p. 76
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
18
Term 1 Week 4
Chapter 5: Matrices
LESSON 3
Learning Objectives
 Multiply a matrix by another matrix with both matrices comprising of
up to 4 columns and up to 4 rows.
 Investigate associativity, commutativity and identity of a 2 by 2
matrix in arithmetic computation
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Introduction:
5 minutes
Operations with matrices
Work on examples on SB p. 77.
Development
:
25 minutes
Multiplication of matrices
Remind students about addition and
subtraction of matrices.
Emphasise the rules for matrix addition
and subtraction.
Develops the lesson with explaining that
multiplication of matrices could be looked
into two ways. Multiplying one matrix by
another matrix and multiplying a matrix
by another number.
Multiplying a matrix by another number
Emphasise the rules for matrix
multiplication.
Give students answers to exercises.
Students compare their answers to the
teacher’s.
Date:
Conclusion:
10 minutes
Reviewing the lesson
Total
duration:
40 minutes
Assessment
Exercise 5.1 on SB p. 78
Student activities
Learn multiplying a matrix by a number
through Exercise 5.1 on SB pp. 78-9.
Students learn multiplying a matrix by
another matrix through Activity 5.1 on SB p.
81.
Assignments/expanded opportunities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
19
Term 1 Week 4
Chapter 5: Matrices
LESSON 4
Learning Objectives
 Multiply a matrix by another matrix with both matrices comprising of
up to 4 columns and up to 4 rows.
 Investigate associativity, commutativity and identity of a 2 by 2
matrix in arithmetic computation
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Introduction:
5 minutes
Matrix operation rules
Recall what they know about the number
operations rules.
Development
:
25 minutes
Concept development:
commutativity and
associativity
Remind the students of the number
operation rules, i.e. commutative,
associativity, identity.
Develop the concept of commutativity
through an investigation on SB p. 88. The
investigation can be done individually or in
pairs or as group.
Develop the concept of associativity
through the investigation on SB p. 89.
Give students the answers to the activity.
Students work on investigation of p. 89
Date:
Conclusion:
10 minutes
Total
duration:
40 minutes
Summary of the lesson
Assessment
Exercise 5.2 on SB p. 84
Student activities
Students work on the investigation under the
guidance of the teacher.
Students work on example on SB p. 88
Compare their answers to the teacher’s
answers.
Assignments/expanded opportunities
ICT Activity on SB p. 85.
Emerging issue on SB p. 85
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
20
Term 1 Week 4
Chapter 5: Matrices
LESSON 5
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Computer with calculator capability
Date:
Learning Objectives
 Multiply a matrix by another matrix with both matrices comprising
of up to 4 columns and up to 4 rows.
 Investigate associativity, commutativity and identity of a 2 by 2
matrix in arithmetic computation
Content
Teacher activities
Introduction:
8 minutes
Identity and associativity
of matrix operations
Ask students to identify the identity
numbers under number operations
Development:
25 minutes
Identity of a matrix
Develop the lesson through the example
on identity numbers under addition on SB
p. 90.
They inform the teacher the identity number
under multiplication is ‘1’. And under addition
is ‘0’
Work on Activity 5.4 on SB p. 91.
Work on Exercise 5.4 on SB p. 92.
Student activities
Associativity of a matrix
Lead the lesson on identity under
multiplication with the example on SB p.
91.
Ask students what they have learned in
the lesson.
Conclusion:
7 minutes
Summary of the lesson
Total duration:
40 minutes
Assessment
Revision exercise on SB p. 93
Students respond to the teacher’s questions.
Assignments/expanded opportunities
Investigations on SB pp. 88 and 89
Homework exercise on SB p. 92
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
21
Term 1 Week 5
Chapter 6: Properties of triangles
LESSON 1
Learning Objectives
 Derive the midpoint theorem by investigation
 Solve problems involving the mid-point theorem
 Derive the converse of the midpoint theorem by investigation
 Solve problems involving the converse of the mid-point theorem
 Calculate unknown sides and angles using properties of congruent
triangles
 Calculate unknown sides using properties of similar triangles
 Solve problems involving properties of congruent triangles and similar
triangles
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set square
Introduction: 5
minutes
Introducing the topic
Students give all kinds of responses
relating to triangles.
Development:
25 minutes
Midpoint theorem
Conclusion:
10 minutes
Reviewing the lesson
Total duration:
40 minutes
Assessment
Date:
Ask students what a triangle is and what they
know about triangles in a brainstorming
activity.
Highlight those properties that will lead to the
lesson of the day.
Ask students to work in groups of four or five
and work through investigation on SB p. 99.
Ask the students to state what they have
discovered
Read and explain the text at the end of SB p.
99 as a summary.
Student activities
Work on investigation activity on SB p.
99 in groups.
Each group presents what they have
discovered to the class.
Check that the statement read by the
teacher agrees with what they found in
the Investigation on SB p. 99.
Assignments/expanded
opportunities
Investigation on SB p. 99
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
22
Term 1 Week 5
Chapter 6: Properties of triangles
LESSON 2
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Date:
Learning Objectives
 Derive the midpoint theorem by investigation
 Solve problems involving the midpoint theorem
 Derive the converse of the midpoint theorem by investigation
 Solve problems involving the converse of the mid-point theorem
 Calculate unknown sides and angles using properties of congruent
triangles
 Calculate unknown sides using properties of similar triangles
 Solve problems involving properties of congruent triangles and
similar triangles
Content
Teacher activities
Introduction: 5
minutes
Converse of midpoint
theorem
Ask students to recall the midpoint
theorem.
Ask students to try and create the
converse.
Tell the teacher what they remember about
the midpoint theorem.
Ask students to work on the Investigation
activity on SB p. 101 in groups.
Give the statement of converse of
midpoint.
Ask students to work on Activity 6.1 on SB
p. 101
Ask students to compare the midpoint
theorem and its converse.
Follow the instruction for the investigation.
Students work on Activity 6.1 on SB p. 101.
Development:
25 minutes
The converse of the
midpoint theorem
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Assessment
Student activities
Try to reverse the statement.
Compare the midpoint theorem and its
converse.
Assignments/expanded opportunities
Investigation on SB p. 101
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
23
Term 1 Week 5
Chapter 6: Properties of triangles
LESSON 3
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Date:
Learning Objectives
 Derive the midpoint theorem by investigation
 Solve problems involving the mid-point theorem
 Derive the converse of the midpoint theorem by investigation
 Solve problems involving the converse of the mid-point theorem
 Calculate unknown sides and angles using properties of congruent
triangles
 Calculate unknown sides using properties of similar triangles
 Solve problems involving properties of congruent triangles and
similar triangles
Content
Teacher activities
Introduction: 5
minutes
Problems involving the
midpoint theorem
Ask students how the midpoint theorem
can be used in a real life situation.
Brainstorm where they are likely to see
midpoint theorem in action.
Development:
25 minutes
Problems involving the
midpoint theorem
Lead the discussion on midpoint theorem
in real life. This includes the midpoint
theorem and its converse.
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Student activities
Work on Exercise 6.1 on SB p. 103.
Work on Exercise 6.2 on SB p. 104.
Assessment
Exercise 6.2 on SB p. 104
Assignments/expanded opportunities
Extension activity on SB p. 103
Support Activity 6.1 on SB p. 102
Support activity 6.2 on SB p. 104
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
24
Term 1 Week 5
Chapter 6: Properties of triangles
LESSON 4
Date:
Introduction:
5 minutes
Development:
25 minutes
Conclusion:
10 minutes
Total duration:
40 minutes
Learning Objectives
 Derive the midpoint theorem by investigation
 Solve problems involving the mid-point theorem
 Derive the converse of the midpoint theorem by investigation
 Solve problems involving the converse of the mid-point theorem
 Calculate unknown sides and angles using properties of congruent
triangles
 Calculate unknown sides using properties of similar triangles
 Solve problems involving properties of congruent triangles and
similar triangles
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Calculate unknown sides
and angles of triangles
using properties of
congruent triangles
Calculate unknown sides
and angles of triangles
using properties of
congruent triangles
Help students to remember Congruency
and similarity in triangles
Students brainstorm congruency and
similarity.
Develop the concept through Activity 6.2
on SB p. 106 and the example on SB p.
107, as well as Activity 6.3 on SB p. 108.
Students work on Activity 6.2, Activity 6.3
and Exercise 6.3 on SB p. 109
Reviewing the lesson
Ask students what they have learned in
this lesson
Students respond to the teacher’s questions
Assessment
Revision exercise 6.3 on SB p. 109
Student activities
Assignments/expanded opportunities
Support Activity 6.3 on SB p. 108
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
25
Term 1 Week 5
Chapter 6: Properties of triangles
LESSON 5
Learning Objectives
 Derive the midpoint theorem by investigation
 Solve problems involving the mid-point theorem
 Derive the converse of the midpoint theorem by investigation
 Solve problems involving the converse of the mid-point theorem
 Calculate unknown sides and angles using properties of congruent
triangles
 Calculate unknown sides using properties of similar triangles
 Solve problems involving properties of congruent triangles and
similar triangles
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Introduction:
5 minutes
Similarity of triangles
Ask students what they know about
similar triangles.
Brainstorm the activity.
Development
:
25 minutes
Similar triangles
Develop the concept through Support
activity 6.4 on SB p. 110 and the example
on SB p. 111.
Work on Exercise 6.4 on SB p. 113 questions
1-3.
Conclusion:
10 minutes
Total
duration:
40 minutes
Reviewing the lesson
Give students answers to the exercise.
Students compare their answers with the
teacher’s answers and make corrections.
Assignments/expanded opportunities
Homework exercise on SB p. 112
Exercise 6.4 questions 4 and 5 on SB p. 114
Date:
Assessment
Exercise 6.4 on SB p. 113.
Student activities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
26
Term 1 Week 6
Chapter 6: Properties of triangles
LESSON 1
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Date:
Learning Objectives
 Derive the midpoint theorem by investigation
 Solve problems involving the mid-point theorem
 Derive the converse of the midpoint theorem by investigation
 Solve problems involving the converse of the mid-point theorem
 Calculate unknown sides and angles using properties of congruent
triangles
 Calculate unknown sides using properties of similar triangles
 Solve problems involving properties of congruent triangles and
similar triangles
Content
Teacher activities
Introduction: 5
minutes
More problems involving
congruency and similarity
Prepare to differentiate between the two
properties.
Development:
25 minutes
More problems involving
congruency and similarity
Inform the students that they will be
applying both rules of congruency and
similarity.
Give an example where the two properties
are applied.
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Give students answers to Exercise 6.5 on
SB p. 115
Check their answers against the teacher’s
answer.
Assignments/expanded opportunities
Extension activity 6.3 on SB p. 118
ICT Activity 6.1 on SB p. 118
Internet Access on SB p. 119
Assessment
Exercise 6.5 on SB p. 115
Student activities
Write example into their exercise books.
Work through Exercise 6.5 on SB p. 116.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
27
Term 1 Week 6
Topic 7: Pythagorean theorem and trigonometric ratios
LESSON 2
Learning Objectives
 Derive Pythagorean theorem by investigation
 Calculate the unknown side of a right-angled triangle using the
Pythagorean theorem
 Use Pythagorean theorem to solve problems related to real life situations
 Identify opposite, adjacent, hypotenuse sides of a right-angled triangle,
with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent in a
right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to solve
problems related to real life situations
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Introduction: 5
minutes
Pythagoras theorem
Ask students to list kinds of triangles.
Then discuss right angled triangles.
List all the types including rightangled triangles.
Development:
25 minutes
Pythagoras theorem
Work on the investigation on SB pp.
125-128.
Conclusion:
10 minutes
Reviewing the lesson
Explain the Pythagoras theorem through the
investigation on SB pp. 125-128.
Some answer may not be exact depending on
errors of the instrument used to measure, as well
as human error.
Ask students to summarise their answers in their
own words.
Total duration:
40 minutes
Assessment
Date:
Student activities
Realise that the square on one side
is equal to the sum of squares on the
other two sides.
Assignments/expanded
opportunities
Investigation on SB pp. 125-128
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
28
Term 1 Week 6
Topic 7: Pythagorean theorem and trigonometric ratios
LESSON 3
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Date:
Learning Objectives
 Derive Pythagorean theorem by investigation
 Calculate the unknown side of a right-angled triangle using the
Pythagorean theorem
 Use Pythagorean theorem to solve problems related to real life
situations
 identify opposite, adjacent, hypotenuse sides of a right-angled
triangle, with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent
in a right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to
solve problems related to real life situations
Content
Teacher activities
Introduction: 5
minutes
Using the Pythagoras
theorem
Remind students what they discovered in
the previous lesson.
They recall what they learned.
Development:
25 minutes
Using the Pythagoras
theorem
Work on Exercise 7.1 on SB p. 131
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Develop the concept through the example
on SB p. 129 and support Activity 7.1 on
SB p. 130
Give students the answers to the exercise.
Assessment
Exercise 7.1 on SB p. 131
Student activities
Compare their answer with the teacher’s
answers and correct as necessary.
Assignments/expanded opportunities
Support activity 7.1 on SB p. 130
Extension activity 7.1 on SB p. 132
Homework activity on SB p. 132
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
29
Term 1 Week 6
Topic 7: Pythagorean theorem and trigonometric ratios
LESSON 4
Date:
Introduction: 5
minutes
Development:
25 minutes
Conclusion:
10 minutes
Learning Objectives
 Derive Pythagorean theorem by investigation
 Calculate the unknown side of a right-angled triangle using the
Pythagorean theorem
 Use Pythagorean theorem to solve problems related to real life situations
 Identify opposite, adjacent, hypotenuse sides of a right-angled triangle,
with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent in a
right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to solve
problems related to real life situations
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Use the Pythagorean
theorem to solve problems
related to real life situations
Use the Pythagorean
theorem to solve problems
related to real life situations
Lead a discussion on where right angles are
used in real life.
List situations that need the
Pythagoras theorem.
Show how the Pythagorean theorem can be
used to check right angled triangles.
Lead a discussion on using the Pythagorean
theorem in real life using the example on SB p.
134 and Activity 7.1 on SB p. 134
Work on exercise 7.2 on SB p. 133.
Work on Activity 7.1 and Exercise
7.3 questions 1-4 on SB p. 135
Reviewing the lesson
Gives students feedback on the exercises and
activities.
Compare their responses with the
answers of the teacher
Student activities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
30
Total duration:
40 minutes
Assessment
Exercise 7.1 on SB p. 135
Revision exercise on SB p. 137
Assignments/ expanded
opportunities
Exercise 7.1 questions 5 and 6 on SB
p. 135
Extension activity 7.2 on SB p. 136
ICT activity 7.1 on SB p. 136
Internet research on SB p. 136
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
31
Term 1 Week 6
Chapter 8: Trigonometry
LESSON 5
Learning Objectives
 Identify opposite, adjacent, hypotenuse sides of a right-angled
triangle, with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent
in a right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to
solve problems related to real life situations
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Introduction: 5
minutes
Introducing trigonometry
Development:
25 minutes
The formulae for rightangled triangle.
Identify the longest side and the shortest
side of a right angled triangle.
Work on Exercise 8.1 on SB p. 141
Write the formulae as shown in the SB or as
given by the teacher.
Date:
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Assessment
Lead the discussion on naming the sides
of a triangle in relation to the identified
angle of a triangle.
Lead the lesson with the New words on SB
p. 142 and ensure that students
understand the words.
Help the students to memorise the useful
Tips on SB p. 143.
Student activities
Work on Support activity 8.2 and Activity 8.1
on SB p. 144.
Read and write down the useful tips in their
exercise books.
Assignments/expanded opportunities
Exercise 8.2 on SB p. 146 as homework
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
32
Term 1 Week 7
Chapter 8: Trigonometry
LESSON 1
Date:
Introduction: 5
minutes
Development:
25 minutes
Conclusion:
10 minutes
Total duration:
40 minutes
Learning Objectives
 Identify opposite, adjacent, hypotenuse sides of a right-angled
triangle, with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent
in a right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to
solve problems related to real life situations
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Finding unknown angles
and sides in a rightangled triangle
Finding unknown angles
and sides in a rightangled triangle
Ask students to recall the formulae.
Students discuss what they remember about
the formulae.
Develop the concept through the example
on SB p. 145.
Students write the example in their exercise
books.
Reviewing the lesson
Give students the answers to the exercise.
Assessment
Exercise 8.2 on SB p. 146
Student activities
Students work on Exercise 8.2 on SB p.146
Check their own answers against the
teacher’s.
Assignments/expanded opportunities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
33
Term 1 Week 7
Chapter 8: Trigonometry
LESSON 2
Learning Objectives
 Identify opposite, adjacent, hypotenuse sides of a right-angled
triangle, with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent
in a right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to
solve problems related to real life situations
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Finding unknown angles
and sides in a rightangled triangle
Finding unknown angles
and sides in a rightangled triangle
Reviewing the lesson
Ask students to recall the formulae.
Students discuss what they remember about
the formulae.
Develop the lesson through Activity 8.2 on
SB p. 147
Work on Activity 8.2 on SB p. 147
Work on Activity 8.3 on SB p. 149
Give students the answers to the exercise.
Check their own answers against the
teacher’s.
Assignments/expanded opportunities
Development:
25 minutes
Conclusion:
10 minutes
Total duration:
40 minutes
Assessment
Exercise 8.3 on SB p. 150
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
34
Term 1 Week 7
Chapter 8: Trigonometry
LESSON 3
Learning Objectives
 Identify opposite, adjacent, hypotenuse sides of a right-angled
triangle, with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent
in a right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to
solve problems related to real life situations
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Introduction: 5
minutes
Finding unknown angles
and sides in a rightangled triangle
Refer students back to Activities 8.2 and
8.3 on SB pages 147 and 149
respectively.
Students to remember the ratios.
Development:
25 minutes
Finding unknown angles
and sides in a rightangled triangle
Lead students on examples on SB p. 148
Conclusion:
10 minutes
Reviewing the lesson
Gives students the answers to the
exercise.
Students write the example in their exercise
books.
Students work on Exercise 8.3 on SB p. on
SB p. 150
Check their own answers against the
teacher’s.
Total duration:
40 minutes
Assessment
Exercise 8.2 on SB p. 146
Date:
Student activities
Assignments/expanded opportunities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
35
Term 1 Week 7
Chapter 8: Trigonometry
LESSON 4
Date:
Introduction: 5
minutes
Development:
25 minutes
Conclusion:
10 minutes
Total duration:
40 minutes
Learning Objectives
 Identify opposite, adjacent, hypotenuse sides of a right-angled
triangle, with reference to the given angle
 Calculate the three trigonometric ratios of sine, cosine and tangent
in a right-angled triangle
 Use the three trigonometric ratios and a calculator to calculate the
unknown angle and side in a right angled triangle
 Use both the trigonometric ratios and Pythagorean theorem to
solve problems related to real life situations
Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Use both the
trigonometric ratios and
the Pythagorean theorem
to solve problems related
to real life situations
Use both the
trigonometric ratios and
the Pythagorean theorem
to solve problems related
to real life situations
Reviewing the lesson
Ask students to discuss what they
remember about the Pythagoras theorem
and the trigonometric ratios.
Inform the students that in the lesson
they are going to use both.
Develop the lesson through Activity 8.4 on
SB p. 151.
Students recall the formulae.
Give students answers to Exercise 8.4 on
SB p. 152.
Check their answers against the teacher’s
answers.
Assignments/expanded opportunities
Investigation on SB p. 152
Extension activity on SB p. 153
Internet Access on SB p. 153
Assessment
Exercise 8.4 on SB p. 152
Revision exercise on SB pp. 154-155
Student activities
Work on Activity 8.4 on SB p. 151 in pairs.
Work on Exercise 8.4 on SB p. 152.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
36
Term 1 Week 7
Chapter 9: Coordinate geometry
LESSON 5
Learning Objectives
 Calculate the distance between two points
 Calculate the coordinates of the midpoint of a line segment
given the coordinates of its end points
 Calculate the coordinates of the end point of a line segment
given the coordinates of the midpoint and one end point
 Solve problems involving the application of the distance
between two points and midpoint of the two end points of a
line segment
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Set Square
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Calculating the distance
between two points
Remind students of the Pythagoras
theorem.
Development:
25 minutes
Calculating the distance
between two points
Develop the lesson through Activity 9.1 on
SB p. 158.
Recall that in a right-angled triangle, the
square on the longest side is equal to the
sum of the squares on the other two sides.
Work on Activity 9.1 on SB p. 158
Conclusion:
10 minutes
Reviewing the lesson
Explain that the line segment can be
considered a right-angled triangle if it is
divided into the horizontal and vertical
lines.
Total duration:
40 minutes
Assessment
Students discuss their own observations from
the activity.
Assignments/expanded opportunities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
37
Term 1 Week 8
Chapter 9: Coordinate Geometry
LESSON 1
Learning Objectives
 Calculate the distance between two points
 Calculate the coordinates of the midpoint of a line segment
given the coordinates of its end points
 Calculate the coordinates of the end point of a line segment
given the coordinates of the midpoint and one end point
 Solve problems involving the application of the distance
between two points and midpoint of the two end points of a
line segment
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Set Square
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Calculating the distance
between two points
Lead students through the previous day’s
work.
Recall that they applied the Pythagoras rule
for a line segment.
Development:
25 minutes
Calculating the distance
between two points
Develop the lesson through the example
on SB p. 158.
Work on the example on SB p. 158 with the
teacher.
Explain the distance formula to the
students.
Give students answers to exercise 9.1 on
SB p. 160.
Use the distance formula to work on Exercise
9.1 on SB p. 160.
Check their own answers against the
teacher’s answers.
Assignments/expanded opportunities
Extension activity 9.1 on SB p. 161
Conclusion:
10 minutes
Total duration:
40 minutes
Reviewing the lesson
Assessment
Exercise 9.1 on SB p. 160.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
38
Term 1 Week 8
Chapter 9: Coordinate Geometry
LESSON 2
Learning Objectives
 Calculate the distance between two points
 Calculate the coordinates of the midpoint of a line segment
given the coordinates of its end points
 Calculate the coordinates of the end point of a line segment
given the coordinates of the midpoint and one end point
 Solve problems involving the applications of distance between
two points and midpoint of the two end points of a line
segment
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Set Square
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Calculating the
coordinates of the
midpoint of a line
segment
Calculating the
coordinates of the
midpoint of a line
segment
Reviewing the lesson
Remind students of the average rule and
that the midpoint is the average or
halfway of the line segment.
Recall that in a right-angled triangle, the
square of the longest side is equal to the sum
of the squares on the other two sides.
Develop the lesson through Activity 9.2 on
SB p. 162
Work on Activity 9.2 on SB p. 162.
Work on Exercise 9.2 on SB p. 162.
Compare the midpoint theorem to the
average of two points. Give students
answers to the exercise.
Check their own answers against the
teacher’s answers.
Development:
25 minutes
Conclusion:
10 minutes
Total duration:
40 minutes
Assessment
Exercise 9.2 on SB p. 162
Assignments/expanded opportunities
Extension activity on SB p. 161
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
39
Term 1 Week 8
Chapter 9: Coordinate Geometry
LESSON 3
Learning Objectives
 Calculate the distance between two points
 Calculate the coordinates of the midpoint of a line segment
given the coordinates of its end points
 Calculate the coordinates of the end point of a line segment
given the coordinates of the midpoint and one end point
 Solve problems involving the application of the distance
between two points and midpoint of the two end points of a
line segment
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Date:
Content
Teacher activities
Student activities
Introduction: 5
minutes
Calculating the
coordinates of the end
points of a line segment
Calculating the
coordinates of the end
points of a line segment
Reviewing the lesson
Remind the students of the midpoint
formula.
Recall the midpoint formula.
Develop the concept through the example
on SB p. 163.
Work on Exercise 9.3 on SB p. 164.
Give students the answers to Exercise 9.3
on SB p. 164.
Check their own answers against the
teacher’s answers.
Assignments/expanded opportunities
Extension Activity on SB p. 164
Development:
25 minutes
Conclusion:
10 minutes
Total duration:
40 minutes
Assessment
Exercise 9.2 on SB p. 162
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
40
Term 1 Week 8
Chapter 9: Coordinate Geometry
LESSON 4
Date:
Introduction: 5
minutes
Development:
25 minutes
Conclusion:
10 minutes
Total duration:
40 minutes
Learning Objectives
 Calculate the distance between two points
 Calculate the coordinates of the midpoint of a line segment
given the coordinates of its end points
 Calculate the coordinates of the end point of a line segment
given the coordinates of the midpoint and one end point
 Solve problems involving the application of the distance
between two points and midpoint of the two end points of a
line segment

Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Solving problems
involving distance and
the midpoints
Solving problems
involving distance and
the midpoints
Reviewing the lesson
Inform students about the lesson of the
day.
Write any information about the lesson of the
day.
Develop the lesson using the examples on
SB p. 165.
Work on Activity 9.3 on SB p. 166.
Work on Exercise 9.4 on SB p. 166.
Give the students answers to the
exercises.
Check their answers against the teacher’s
answers.
Assignments/expanded opportunities
Homework activity on SB p. 166
Project on SB p. 167
Assessment
Student activities
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
41
Term 1 Week 8
Chapter 9: Coordinate Geometry
LESSON 5
Learning Objectives
 Calculate the distance between two points
 Calculate the coordinates of the midpoint of a line segment
given the coordinates of its end points
 Calculate the coordinates of the end point of a line segment
given the coordinates of the midpoint and one end point
 Solve problems involving the application of the distance
between two points and midpoint of the two end points of a
line segment

Content
Teacher activities
Resources/Learning Aids/LTSM
Exploring Mathematics PB 3
Exploring Mathematics TG 3
Ruler
Protractor
Set Square
Introduction: 5
minutes
Rounding all what
students have done on
the chapter.
Tell the teacher the formulae they know.
Development:
25 minutes
Solving problems
involving distance and
the midpoints
Reviewing the lesson
Ask students about the formulae they
learnt in the chapter.
Write the formulae as students say them
out.
Develop the lesson using the examples on
SB p. 165.
Give the students answers to the revision
exercises.
Check their answers against the teacher’s
answers.
Assignments/expanded opportunities
Internet access on SB p. 167
Date:
Conclusion:
10 minutes
Total duration:
40 minutes
Assessment
Revision exercise on SB p. 168
Student activities
Students work on Revision exercise on SB p.
168.
© Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product.
42