| Full lesson | Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle} |
| Which subject | Mathematics |
| What topic | Integers |
| What length (min) | 30 |
| What age group | Year or Grade 7 |
| Class size | 20 |
| 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 slides | 5 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Mathematics
Integers
Year/Grade 7
30 minutes
20 students
This lesson is designed to align with the National Council of Teachers of Mathematics (NCTM) standards, focusing on understanding and working with integers.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Check Homework | 5 min | Collect and review homework from the previous lesson without individual presentations. Ensure students understand common mistakes. |
| 2 | Introduction to Integers | 5 min | Briefly introduce the concept of integers, including positive, negative numbers, and zero. Use real-world examples for clarity. |
| 3 | Distributing Cards | 5 min | Hand out printable cards to students, instructing them on how to complete the activity during the lesson. |
| 4 | Interactive Activity | 10 min | Students work in pairs to complete problems on the cards. Monitor the class and provide assistance where needed. |
| 5 | Collecting/Checking Cards | 3 min | Randomly check or collect the completed cards from students to assess understanding and provide feedback. |
| 6 | Assign Homework | 2 min | Distribute the homework assignment related to the lesson on integers without going into details of the questions. |
"Good morning, class! Before we begin our lesson today, I need you to take out your homework from our last lesson. Please pass your homework papers to the front. I’ll be collecting them for review."
(Pause as students pass their papers)
"Thank you. As I look through your homework, I’ll address some common mistakes. Remember, it’s important to check your work. If I mention something that's on your paper, try to think about how you can avoid that mistake in the future."
(Pause while reviewing homework)
"Alright! I see that many of you had great efforts, but I noticed a couple of common errors especially in the signs when adding and subtracting. It's crucial to pay attention to whether the numbers are positive or negative. Let's keep these in mind as we move into today's topic."
"Now, let’s move on to our main topic for today: integers! An integer is a whole number that can be either positive, negative, or even zero. For instance, when we think of temperatures, we have 30 degrees, which is positive, and -5 degrees, which is negative. Can anyone give me another example of where we might use integers?"
(Pause for student responses)
"Great examples! Integers are everywhere—in sports scores, bank accounts, and even in games. Understanding these concepts will help us solve various mathematical problems."
"Next, I’m handing out some printable cards that will help us practice integers today. Each card has different problems for you to solve."
(Hand out the cards)
"Please look at your card and familiarize yourself with the problems you'll be working on. Remember, the goal is to work collaboratively with your partner. I want you to help each other understand and solve these problems effectively."
"Now, find a partner! You’ll work together to solve the problems on your cards. Make sure to discuss the steps you’re taking and how you arrive at your answers."
(Watch students as they pair off and begin working)
"I'll be walking around the room to see how you're doing, so feel free to raise your hand if you need help or clarification on any problem. Remember to support each other as team members!"
"Time is up! Please finish the last problem you’re working on. Now, I’d like you to pass your cards to me. I’m going to randomly check them to see how well you understood today's concepts."
(Collect and check the cards)
"While I check these, I want you to think about any questions you might have about the problems you found challenging."
"Now, for homework, I have another assignment related to integers. I will be distributing the sheets, and I want you to focus on applying what we learned today."
(Distribute the homework assignments)
"Please take a moment to look at the problems, and if you have any questions later, feel free to ask me. Remember, this homework reinforces what we've covered in class!"
"Before we finish, let’s recap some key points. Who can tell me what an integer is? Yes, that's right! And why are positive and negative signs important when dealing with integers?"
(Pause for responses)
"Excellent! And remember, practicing addition and subtraction with integers will help us solve complex problems in the future. Don’t forget to review your homework before our next class, and come prepared with any questions. Have a great day, everyone!"
Define an integer. Provide at least three examples, including both positive and negative integers.
Describe a real-life situation where you might encounter integers. Explain how they are used in that context.
Solve the following problems involving integers:
Explain the importance of the signs in addition and subtraction with integers. How can a wrong sign change your answer?
Create your own word problem that involves adding or subtracting integers. Write out the problem and solve it.
Choose three pairs of integers and find their sum. Provide your calculations.
Reflect on the interactive activity in class. What strategies did you and your partner use to solve the problems? What was challenging?
Provide an example of a scenario where integers could be used in sports. Illustrate how you would represent the scores using positive and negative integers.
Solve the following:
Review your homework before the next class. What specific questions do you have about adding and subtracting integers that you would like to discuss?
| Question | Answer |
|---|---|
| What is an integer? | |
| Can you provide an example of a negative integer? | |
| Why is it important to pay attention to the signs when adding and subtracting integers? | |
| In what real-life scenarios might we encounter integers? | |
| What types of numbers can be classified as integers? | |
| How do positive and negative integers differ in mathematical operations? | |
| During our interactive activity, what was the goal of working with a partner? | |
| What should you think about when checking your work on integer problems? | |
| How can practicing addition and subtraction with integers help solve complex problems? | |
| What did you learn about integers that you didn't know before? |