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Learning Management plan
Subject : Mathematics
Learning area : Basic mathematics
Learning Unit : 2
Topic : Integers
Learning plan : 3
Topic : Subtraction of integers
Course No : M21101
Mathayomsuksa : 1
Time : 23 periods
Time : 4 periods
1. Learning target
Strand
Strand 1: numbers and Operations.
Standard
Standard M1.1: Understanding diverse methods of presenting numbers and their
application in real life.
Standard M1.2: Understanding results of operations of numbers, relationships of
operations, and application of operations for problem-solving.
Standard M1.4: Understanding of numerical system and application of numerical
properties.
Standard M6.1: Capacity for problem-solving, reasoning, and communication;
communication and presentation of mathematical concepts; linking
various bodies of mathematical knowledge and linking mathematics with
other disciplines; and attaining ability for creative thinking.
Grade level indicators
1) Specify or give examples and compare addition of integral numbers and subtraction of
integral numbers and 0 (M1.1).
2) Add, subtract, multiply and divide integral numbers for the purpose of problem
solving; be aware of validity of the answers; explain the results obtained from the
addition, subtraction, multiplication, and division. Also explain the relationship
between addition and subtraction, and between multiplication and division of integral
numbers (M1.2).
3) Apply knowledge and properties of integers for problem-solving (M1.4).
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Learning objectives: Student can
Knowledge : 1) Subtract integral numbers for the purpose of problem solving
2) Explain the relationship between addition and subtraction.
3) Explain the results obtained from the subtraction.
4) Be aware of validity of the answers
Process skill : Capacity for problem-solving, reasoning, and communication;
communication and presentation of mathematical concepts.
Attitude/competency : Honesty and integrity, self-discipline, avidity for learning
and public-mindedness. / Communication capacity, thinking
capacity and problem-solving capacity
2. Concept
Addition and Subtraction
+(+x) = +x , move x steps to the right
+(–x) = –x , move x steps to the left
– (+x) = –x , move x steps to the left
– (–x) = +x , move x steps to the right
Example 4 + (+2) = 4 + 2,
5 + (–3) = 5 – 3,
8 – (+4) = 8 – 4,
(-9) – (–10 ) = (-9) + 10
The difference between two integers is the number of steps required to move from
second integer to reach the first integer on number line. And consider the difference of
(1) 8 – (+4) = 8 – 4 , start from 8 then move 4 steps to the left.
(2) (-9) – (–10 ) = (-9) + 10 , start from -9 then move 10 steps to the right
3. Content
Subtraction of an integer to a positive integer; subtraction of an integer to a negative integer.
4. Evidence of Learning
Task : 1) Exercise 4-9 in E-Mastery PLUS Mathayom 1.(page 17-18).
2) Homework notebook.
3) Interact, work and join in activities organized by their peers and their
teachers.
4) Test 3.
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5. Assessment and evaluation
Assessment person : Tiwanon Soobphom (Teacher)
Assessment
1) Knowledge
2) Skill/Process
3) Attitude/
Competency
How to assess
asking questions,
observing,
examining
homework,
assessing projects,
portfolios,
and using written tests
problem-solving,
reasoning,
communication and
presentation
Honesty and integrity,
self-discipline,
dedication and
commitment to work,
public-mindedness,
communicationthinking – problem
solving capacity,
6. Learning process
1) Divide students in group of 3-4 people.
2) Group activities and exercises.
3) Presentation to the class.
4) Discussion, exchange of ideas.
5) Conclusion
Assessment
Tool
observation,
homework,
written tests,
worksheet,
Criteria
60%
Observation
60%
Observation
60%
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7. Procedure
Period 1
1. Introduction
The teacher represents this following sentence on the white board
+(+x) = +x , positive with positive x = positive x, move x steps to the right
+(–x) = –x , positive with negative x = negative x, move x steps to the left
– (+x) = –x , negative with positive x = negative x, move x steps to the left
– (–x) = +x , negative with negative x = positive x, move x steps to the right
Example 4 + (+2) = 4 + 2, start from 4 then move 2 steps to right
5 + (–3) = 5 – 3, start from 5 then move 3 steps to left
8 – (+4) = 8 – 4, start from 8 then move 4 steps to left
(-9) – (–10 ) = (-9) + 10, start from -9 then move 10 steps to right
2. Lesson Procedure
1) The teacher represents 2-3 sentence on the whiteboard and ask students to consider
its move to the left or move to the right. Then ask students to represent the solution by
using a number line.
(1) 10 – (+12) = 10 – 12 = -2
Solution start from 10 then move 12 steps to the left
-12
(2) (-8) – (–15) = (-8) + 15 = 7
Solution: start from -8 then move 15 steps to right
+12
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2) Divide students in group of 3-4 people and each group do exercises 4 ((a), (b), (c)) on
page 17 of E-Mastery PLUS Mathayom 1. Then let one person in each group to present.
All students and teacher discuss and exchange ideas.
Example (-3) – (-4)
Solution (-3) – (-4) = (-3) + 4 = 1
+4
3. Conclusion
1) Students and teacher share conclusions about the lesson: that is
+(+x) = +x , move x steps to the right
+(–x) = –x , move x steps to the left
– (+x) = –x , move x steps to the left
– (–x) = +x , move x steps to the right
2) Homework : Students answer exercise 6 in E-Mastery PLUS Mathayom 1, page 18
Period 2
1. Introduction
1) Ask students, what we learned at the end of the previous lesson.
Answer : Subtract an integers to a positive integer and negative integer
2. Lesson Procedure
1) The teacher represents 2-3 sentences on the whiteboard then ask student to solve it
and show the solution by using a number line.
Example (1) Evaluate (-2) – (-5) – 8
Solution (-2) – (-5) – 8 = (-2) + 5 – 8 = 3 – 8 = -5 , start from -2 then move 5
steps to the right and then move 8 steps to the left.
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-8
+5
Example (2) Evaluate 9 – 18 – (-5)
Solution 8 – 18 – (-5) = 8 – 18 + 5 = (-10) + 5 = -5 , start from 8 then move
18 steps to the left and then move 5 steps to the right.
+5
-18
2) Divide students in group of 3-4 people. Each group do exercises 4 ((d), (e), (f)) on
page 17 of E-Mastery PLUS Mathayom 1. Then ask one person in each group to
present. All students and teacher discuss and exchange ideas.
3. Conclusion
1) Students and teacher share conclusions about the lesson: that is
+(+x) = +x , move x steps to the right
+(–x) = –x , move x steps to the left
– (+x) = –x , move x steps to the left
– (–x) = +x , move x steps to the right
2) Homework : Students answer an exercise 7 in E-Mastery PLUS Mathayom 1, page 18
Period 3
1. Introduction
Review knowledge about addition of an integer to a positive integer by asking a few
questions.
Teacher : Can anyone tell me what we talked about last lesson ?
Answer : Subtract an integer to a positive integer and negative integer.
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Teacher : Very good, can you simplify the following by not using a number line
(1) (-7) + (-3) + (+11)
(2) (-20) – (-10)
Answer : (1) 1
(2) -10
2. Lesson Procedure
Divide students in group of 3-4 people. Each group do exercises 8 and 9 in
E-Mastery PLUS Mathayom 1, page 18. Then let one person in each group to
present. All students and teacher discuss the solution and exchange ideas.
3. Conclusion
1) Students and teacher share conclusions about addition and subtraction of an integer to
a positive and negative integer.
Conclusion : Addition and subtraction of an integer to a positive and negative integer
can be represented by not using a number line.
2) Homework : Simplify each of the following.
(1) 5 + (-7) + 4
(2) (-4) + 9 + (-5)
(3) (-6) + (-4) + (-3)
(4) 4 – (-4) – 12
(5) 8 – 15 – (-2)
(6) -9 – (-5) – 8
Period 4
1. Introduction
1) Teacher represents a problem on the white board.
Problem : In the morning, the temperature of a city was 3o C . Its temperature
then dropped by 5o C in the afternoon. At night, its temperature dropped
by 2 o C . Find the temperature of the city at night.
2) Ask students to solve the problem, all student share discussion of solution.
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Solution Teacher : This problem is about… ?
Student : Temperature
Teacher : Can anyone write and integer to represent the following word
descriptions?
(1) the temperature dropped by 5o C
(2) the temperature dropped by 2 o C
Student : (1) -5
(2) -2
Teacher : Can anyone write the sentence to solve the equation?
Student : (-3) – 5 – 2
Teacher : Can anyone calculate the different of (-3) – 5 – 2 by using a
number line?
Student :
-2
-5
(-3) – 5 – 2 = (-8) – 2 = 10, start from -3 then move 5 steps to the left and then
move 2 steps to the left.
2 Lesson Procedure
Divide students in group of 3-4 people. Each group do exercise 5 in
E-Mastery PLUS Mathayom 1, page 17. Then let one person in each group to
present. All students and teacher discuss solutions and exchange ideas.
3. Conclusion
1) Students and teacher share conclusions about addition and subtraction of an integer to
a positive and negative integer.
Conclusion: Addition and subtraction of an integer to a positive and negative integer
can be represented by using a number line.
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2) Homework :
(1) An eagle is flying directly above a diver. The eagle is 7 m above sea level while
the diver is 2 m below sea level. Find the vertical distance between the eagle and the diver.
(2) The initial temperature of a cold storage was 1o C . Thirty minutes later, its
temperature dropped by 5o C . What was the new temperature of the cold storage?
8. Media and learning resources
1) E-Mastery PLUS Mathayom 1.
2) Library
3) Internet
9. Suggetion
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(Signature)……………………………………Teacher
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The director’s comment
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The head of department’s comment
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