DAILY LESSON PLAN

Class 403Date 25 July 2013Time 07.40 – 08.50Venue ClassAttendance

Topic / Theme: Mathematical Reasoning

Learning Objectives:

Students will be taught to :1. Understand the concept of implication.2. Understand the concept of argument.3. Understand and use the concept of deduction and induction to solve problem.

Learning Outcomes:

Students should be able to :i. Identify antecedent and consequent of an implication if p then q.ii. Construct mathematical statements in the form of if p then q.iii. Write two implications from a compound statement containing if and only if.iv. Construct mathematical statements in the form of p if and only if q.v. Determine the converse of a given implication.vi. Determine whether the converse of an implication is true or false.vii. Identify the premises and conclusion of a given simple argument.viii. Draw a conclusion based on two given premises and vice versa.ix. Make a conclusion based on two given premises for Argument Form I, Argument Form II, and Argument Form III.x. Complete an argument given a premise and the conclusion.xi. Determine whether a conclusion is made through reasoning by deduction and reasoning by induction.xii. Make a conclusion about a specific case based on a given general statement by deduction.xiii. Make generalisation based on the pattern of a numerical sequence by induction.xiv. Use deduction in problem solving.

Activities:

STEPS T&L ACTIVITIES FORMATIVE

EVALUATION NOTES

TEACHING AIDS

A. Opening Activities

1. Teacher enters to class on time.

2. Teacher greets and prepares the lesson.

3. Teacher prepares physically condition

of students in order to ready for joining

learning process.

a. Teacher checks the attendance list.

b. Teacher asks students to prepare

the tools which are used for

learning.

4. Teacher delivers the title of main

material which want to be explained

and writes on the white board.

5. Teacher delivers the learning

objectives.

6. Teacher motivates students.

B. Core Activities

1. Teacher divides pupils into some

groups which consist of 4-5 persons.

Evaluation of students activeness in discussing and presenting. (Attachment 1)

Students, we will discuss about the remains material in Math Reasoning. I want to divide all of you into some group which consist of 4- 5 persons. ( Making group)

- Marker- Eraser- Book

and Pen

2. Teacher gives some materials to each

group.

3. Teacher gives instruction for

discussion.

There are some material that you will discuss in groups are :a) Implication

- Explain about antecedent and consequent of an implication.

- Give some example of implication.- Make the truth table of implication.

The truth values for “p ⇒ q” are as follows:

p q p ⇒ q

True TrueTrue FalseFalse TrueFalse False

- Do the problem on page 94 number (b), (d),(f), and (h).

b) Combining two implications using if and only if - Explain and give some examples

about combining two implications using if and only if.

- Make the truth table.The truth values for “p ⇔ q” are as follows:

p q p ⇔ qTrue TrueTrue FalseFalse TrueFalse False

- Do the problem on page 96 number 1(c), 1 (i), 2(c), and 2(e).

c) Converse of an implication

- Explain and give some examples about converse of an implication.

- Make the truth table.The truth values for “q ⇒ p” are as follows:

p q q ⇒ pTrue TrueTrue FalseFalse TrueFalse False

- Do the problem on page 97 number (c), (f),(g) and (h).

d) Argument : Premise and conclusion of an argument.- Explain and give some examples

about premise and conclusion of an argument.

- Do the problem on page 99 number 1(a),(c), (d) and 2 (a),(b),(c).

e) Argument form.- Explain and give some examples

about argument form- Make the conclusion of your

material.- Do the problem on page 101

number (a), (e), (i), and on page 103 number (b), (d), (g), and (i).

f) Deductive and Inductive Reasoning.- Explain and give some examples

about deductive and inductive reasoning.

- Do the problem on page 104

4. Teacher gives confirmation about the

materials which have been explained by

each group.

number 2(b), (c), page 105 number 2, and page 107 page 107 number (c) and (e).

g)Implication “if p, then q” can be written as p ⇒ q, and “p if and only if q” can be written as p ⇔ q, which means p ⇒ q and q ⇒ p.

The truth values for “p ⇒ q” are as follows:p q p ⇒ q

True True TrueTrue False FalseFalse True TrueFalse False True

The truth values for “p ⇔ q” are as follows:p q p ⇔ q

True True TrueTrue False FalseFalse True FalseFalse False True

The converse of an implication is not necessarily true.

Example 1: If x < 3, then x < 5 (true) Conversely: If x < 5, then x < 3 (false)

5. Teacher gives homework for pupils to

be done individually.

Example 2:If PQR is a triangle, then the sum of the interior angles of PQR is 180°. (true)Conversely:If the sum of the interior angles of PQR is 180°, then PQR is a triangle. (true)Limit to arguments with true premises.

Specify that these three forms of arguments are deductions based on two premises only.Argument Form IPremise 1: All A are B.Premise 2: C is A.Conclusion: C is B.Argument Form II:Premise 1: If p, then q.Premise 2: p is true.Conclusion: q is true.Argument Form III:Premise 1: If p, then q.Premise 2: Not q is true.Conclusion: Not p is true.

Limit to cases where formulae can be induced.

Specify that:making conclusion by deduction is definite; making conclusion by induction is not necessarily definite.

Homework on page 111 can be done in paper.

C. Closing Activity

1. Students and teacher make the

conclusion together. Then, choose

some students for presenting it.

2. Teacher gives homework.

3. Students are given motivation to learn

again the material and always share

when there is any difficulties.

4. Do the reflection about the activity

which has done.

5. Teacher presents about the next

meeting.

6. Teacher closes the lesson punctually.

Language Focus: Malay, English

Pedagogy:Contextual √ Multiple Intelligent √ Inquiry -Discovery

(ID)√

Learning how to learn Mastery learning Self excess Thinking skill √ Future study Constructivism √

TechniqueGroup work √ Simulation Finding informationDiscussion √ Lecture Watching TV

Experiment Reference Role playQuiz Taking note √ Explanation √ A visit cooperative learning √ Demonstration √Problem solving Teaching aids Teaching using

moduleBrain storm Information

communication technology (ICT)

Research

Exercise √ OHP machine Project

Values:Confident & independent

√ Kind & loving Honest

Rational Responsible √ Cooperative √Fair and impartial √ Hardworking & patient √ SystematicFlexible and open-minded

Community spirit √ Dare to try

Moderate Patriotism ObjectiveRespect each other √ clean physical & mental Appreciating &

Thankful√

Courteous

Reflection:

Remarks:

Attachment 1

Observation Sheet of Students Activeness

Teacher’s Name :

Day, date :

Class :

Instruction : Give the evaluation by giving check () in suitable coloumn.

No Activity Yes No Score 1 2 3 4 5

1. Students interact each other in group.

Asking.

Explaining.

Working together.

Discussing.

2. Students deliver their idea.

Formulating the idea

Delivering/ Presenting idea

Giving argument/ Asking

3. Students do the reflection.

Observation Sheet of Students Activeness

Teacher’s Name :

Day, date :

Class :

No. NameScore

Total1(a) 1(b) 1(c) 1(d) 2(a) 2(b) 2(c) 3

1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28.

Attachment 2

a) Implication- Explain about antecedent and consequent of an implication.- Give some example of implication.- Make the truth table of implication.

The truth values for “p ⇒ q” are as follows:p q p ⇒ q

True TrueTrue FalseFalse TrueFalse False

- Do the problem on page 94 number (b), (d),(f), and (h).

b) Combining two implications using if and only if - Explain and give some examples about combining two implications using if and only if.- Make the truth table.

The truth values for “p ⇔ q” are as follows:p q p ⇔ q

True TrueTrue FalseFalse TrueFalse False

- Do the problem on page 96 number 1(c), 1 (i), 2(c), and 2(e).

c) Converse of an implication- Explain and give some examples about converse of an implication.- Make the truth table.

The truth values for “q ⇒ p” are as follows:p q q ⇒ p

True TrueTrue FalseFalse TrueFalse False

- Do the problem on page 97 number (c), (f),(g) and (h).d) Argument : Premise and conclusion of an argument.

- Explain and give some examples about premise and conclusion of an argument.- Do the problem on page 99 number 1(a),(c), (d) and 2 (a),(b),(c). Argument form.- Explain and give some examples about argument form- Make the conclusion of your material.- Do the problem on page 101 number (a), (e), (i), and on page 103 number (b), (d), (g), and

(i).

e) Deductive and Inductive Reasoning.- Explain and give some examples about deductive and inductive reasoning.- Do the problem on page 104 number 2(b), (c), page 105 number 2, and page 107 page 107

number (c) and (e).