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What to createLesson plan
Which subjectMathematics
What topicPositive and negative intagers
What length (min)30
What age groupYear or Grade 8
Include homework
Include images descriptions
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Lesson Plan: Positive and Negative Integers

Subject: Mathematics

Grade: 8

Duration: 30 Minutes

Topic: Positive and Negative Integers


Objective

By the end of this lesson, students will be able to:

Materials Needed


Introduction (5 minutes)

  1. Engage Students: Begin with a quick discussion on integers. Ask students:

    • What do they understand by the term "integer"?
    • Examples of positive and negative numbers in real life (e.g., temperature, banking).
  2. Define Integers: Explain that integers include all whole numbers (both positive and negative) and zero:

    • Positive integers: 1, 2, 3, …
    • Negative integers: -1, -2, -3, …

Direct Instruction (10 minutes)

  1. Number Line:
    Present a number line chart. Point out how integers are positioned relative to zero:

    • Explain that numbers to the right of zero are positive and those to the left are negative.
  2. Comparing Integers:
    Demonstrate how to compare integers using symbols:

    • (5 > 3)
    • (-2 < 1)
    • (-4 > -10)
  3. Basic Operations:
    Introduce the addition and subtraction of integers.

    • Addition:
      • Example: (3 + (-2) = 1)
      • Rule: If the signs are the same, add and keep the sign. If different, subtract and take the sign of the larger absolute value.
    • Subtraction:
      • Example: (5 - (-3) = 8)
      • Rule: To subtract a negative, add its positive.

Guided Practice (10 minutes)

  1. Examples on the Board:
    Solve the following problems together as a class:

    • (7 + (-4))
    • (-3 + 5)
    • (2 - (-3))
    • (-6 - 3)
  2. Student Participation:
    Ask students to volunteer to explain how they solved these problems. Facilitate and correct misunderstandings as needed.


Independent Practice (5 minutes)

Provide students with a worksheet containing problems on positive and negative integers, including comparisons and addition/subtraction.

Sample Problems:

  1. Compare: ( -5) ___ (3) (Fill in with <, > or =)
  2. Calculate: ( -2 + 7 = ?)
  3. Calculate: ( -8 - 4 = ?)

Homework (5 minutes)

Assign the following homework to reinforce the lesson:

Homework Problems:

  1. Compare: ( 2) ___ (-3)
  2. Calculate: ( 6 + (-2) = ?)
  3. Calculate: ( -1 - (-5) = ?)
  4. Order the following integers from least to greatest: (-4, -1, 0, 2, -3)

Answers:

  1. (2 > -3)
  2. (6 + (-2) = 4)
  3. (-1 - (-5) = 4)
  4. Ordered: (-4, -3, -1, 0, 2)

Conclusion (2 minutes)

Wrap up the lesson by summarizing the key points:


This lesson plan fulfills the requirements for an 8th-grade mathematics lesson on positive and negative integers and encourages learning through guided and independent practice.