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Which subjectMathematics
What topic7NS1 Describe situations in which opposite quantities combine to make 0.
What length (min)30
What age groupYear or Grade 7
Class size20
What curriculum
Include full script
Check previous homework
Ask some students to presents their homework
Add a physical break
Add group activities
Include homework
Show correct answers
Prepare slide templates
Number of slides5
Create fill-in cards for students
Create creative backup tasks for unexpected moments

Lesson plan

Lesson Plan

Topic

7NS1 Describe situations in which opposite quantities combine to make 0.

Objectives

Materials

Grade/Age Group

Year/Grade 7

Subject

Mathematics

Class Size

20 students

Length of Lesson

30 minutes

Standards

This lesson aligns with the Common Core State Standards for Mathematics, specifically focusing on Number System standards related to rational numbers.

Lesson Structure

Step Number Step Title Length Details
1 Introduction to Opposites 5 min Begin with a brief discussion on opposite quantities and give simple examples. Ask students to think of real-life situations involving opposites.
2 Guided Practice 10 min Present problems on the board where students think-pair-share to identify opposite quantities. Facilitate discussion on how these combine to make zero.
3 Independent Practice 5 min Distribute worksheets with problems related to the topic. Students will solve these individually while you circulate and provide assistance.
4 Review and Wrap-Up 5 min Go over the worksheet answers together as a class, addressing any misconceptions. Reinforce key concepts discussed in the lesson.
5 Assign Homework 5 min Distribute homework assignments related to opposite quantities combining to zero. Remind students to complete it by the next class without collecting it today.
6 Exit Ticket 5 min Have students fill out an exit ticket responding to: "What are opposite quantities, and how do they combine to make zero?" Collect these as they leave for feedback.

Homework

Assign related exercises (details not provided in this plan) to reinforce learned concepts. Students will turn in homework in the next class, but it will not require presentations.

Assessment

Evaluate understanding through completed worksheets and exit tickets to inform future instruction and address any areas needing review.

Remarks

Encourage a collaborative environment where students feel comfortable sharing their thoughts and questions throughout the lesson. Use formative assessment techniques to gauge understanding.

Lesson script

Introduction to Opposites

"Good morning, class! Today, we are going to explore a fascinating topic in mathematics—opposite quantities and how they combine to make zero. Can anyone tell me what they think opposite quantities mean?"

[Wait for student responses.]

"Great! Opposite quantities are two values that are equal in magnitude but have opposite signs. For example, if I take 5 and -5, they are opposites. When you add them together, what do you get?"

[Encourage students to respond with “0”.]

"Exactly, you get 0! Now, let’s think of some real-life situations where we encounter opposites. Can anyone share an example?"

[Encourage a few students to share their thoughts, guiding them to consider concepts like temperature, money, or sports scores.]

Guided Practice

"Now that we have an idea of what opposite quantities are, let’s work on some problems together. I’m going to write a few equations on the board, and I want you to think about the opposites involved. Let's start with this one: 7 + (-7)."

[Write the equation on the board.]

"How can we express the opposite of 7? Yes, it’s -7! Now, who can tell me what happens when we add them together?"

[Students should respond with “0”.]

"Perfect! Now, turn to your partner and think about this next equation: -3 + 3. Talk about what the opposites are and how they combine. You have one minute!"

[After one minute, facilitate a brief discussion about their findings.]

"Who wants to share what they discussed? Yes, just like the previous example, they combine to make zero as well! Excellent work, everyone!"

Independent Practice

"Now it's time for you to try some problems on your own. I will distribute worksheets that contain practice problems about opposite quantities."

[Distribute the worksheets.]

"As you work through these problems, I will be walking around to assist you if you have any questions. Remember to focus on identifying the opposite quantities!"

[Allow students about 5 minutes to work on their worksheets, circulating to offer help as needed.]

Review and Wrap-Up

"It’s time to review what we’ve learned today! Let’s go through the answers to the worksheets together. Who would like to share their answers for the first question?"

[Go through the worksheet answers as a class, encouraging participation. Address any misconceptions as they arise.]

"Fantastic job, everyone! You all did an excellent job identifying how opposite quantities work together to make zero."

Assign Homework

"For homework, I’d like you to complete the additional exercises related to opposite quantities. Make sure you practice what we have learned today! You will turn it in during our next class, and I want you to attempt all the problems on your own."

[Hand out the homework assignment.]

"Do not worry; we won’t collect it today, but make sure you complete it for next time!"

Exit Ticket

"Before you leave, I’d like each of you to fill out an exit ticket. Please respond to the question: 'What are opposite quantities, and how do they combine to make zero?' Take a minute to think about your answer."

[Hand out exit ticket slips.]

"Once you have finished, please pass them to the front. Thank you for your participation today, and I look forward to seeing your homework next class! Have a great day!"

Homework

  1. What is the definition of opposite quantities? Provide an example and explain your reasoning.

  2. Calculate the following expressions and identify the opposites involved:

    • a. 10 + (-10)
    • b. -4 + 4
    • c. 8 + (-8)
  3. In the context of money, how can you demonstrate the concept of opposite quantities with an example?

  4. Describe a real-life scenario where opposite quantities might be encountered, such as in temperature or sports scores. Explain how they relate to each other.

  5. Solve the following equations and explain how the opposites lead to the final result of zero:

    • a. -6 + 6
    • b. 11 + (-11)
  6. If the opposite of +x is -x, explain how this concept applies when combining positive and negative numbers in addition.

  7. Create your own equation using opposite quantities that equals zero. Show your work and explain your reasoning.

  8. Reflect on today’s lesson: How do you feel about the concept of opposite quantities? Are there any questions or clarifications you would like to consider?

  9. For extra practice, find three pairs of opposite numbers and explain how they combine to make zero, including any possible real-life applications.