| 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 | Doesn't matter |
| 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 |
Integers
Any grade (appropriate for primary and secondary students)
Mathematics
20 students
30 minutes
This lesson aligns with the UK National Curriculum for Mathematics, addressing the understanding of number and place value, calculation, and mathematical terminology.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction to Integers | 5 min | Introduce the concept of integers, including definitions and examples. Discuss positive and negative integers. |
| 2 | Number Line Activity | 5 min | Use a number line to illustrate the position of integers. Ask students to come up and place integers on the number line. |
| 3 | Printable Card Activity | 10 min | Distribute printable cards to each student. Explain that they will fill in their cards with integers based on the prompts provided. |
| 4 | Guided Practice | 5 min | Provide a few example problems for students to work on in pairs, reinforcing addition and subtraction with integers. |
| 5 | Collecting/Checking Cards | 3 min | Facilitate a quick check of the cards filled in by students, either by collecting them or randomly asking students to show them to a partner for quick visual assessment. |
| 6 | Assign Homework | 2 min | Briefly outline the homework assignment related to integers without having students present it. Remind them to complete it for the next lesson. |
"Good morning, everyone! Today we are going to learn about a very important concept in mathematics called integers. Can anyone tell me what an integer is?
[Pause for responses]
Thank you for the answers! An integer is a whole number that can be either positive, negative, or zero. For example, -3, 0, and 5 are all integers.
Now, I want you to think for a moment—what does it mean for a number to be positive or negative?
[Pause for responses]
Exactly! Positive integers are found to the right of zero on a number line, while negative integers are found to the left. Let's keep this in mind as we explore more about integers today."
"Now, I need your help to visualize these integers on a number line. Over here, I have a big number line poster.
[Point to the number line]
I would like some volunteers to come up and place integers on the number line. I will call out an integer, and I want you to point to where it should go. Are we ready?
[Call out integers one by one, allowing students to come up and place markers on the number line.]
Great job, everyone! This activity helps us understand the position of integers. Who can tell me where zero is located?
[Pause for responses]
Exactly! It's right in the middle. Remember, positive integers are to the right and negative integers are to the left."
"Alright class, it's time for a fun activity! I’m going to give each of you a printable card. When you receive your card, you'll see a few prompts on it.
[Distribute cards]
These prompts will ask you to write down different integers. For example, one prompt might say 'Write a positive integer less than 5.' Make sure to follow the prompts and be creative!
You have 10 minutes to fill out your cards. If you finish early, you can decorate your cards. I’ll be walking around to help if you have any questions."
"Now that we've filled out our cards, let’s work together on some practice problems. I’ll share some problems for you to solve in pairs.
[Write a couple of problems on the board, like 5 + (-3) and -2 - 4]
Discuss these problems with your partner and try to solve them using the concepts we’ve learned. Remember to consider the rules of addition and subtraction with integers. You have 5 minutes to work on this!"
"Time's up! I hope you had a good discussion. Now, I would like to check the work you've done on your cards.
Here’s what we’ll do: I’m going to collect your cards, but I’d also like you to share your cards with a partner before I collect them. This will help us see who has been following the prompts properly.
[Allow time for students to share, then collect the cards.]
Thank you for sharing! I’ll look over your cards and give feedback in our next lesson."
"Before we finish today, I want to let you know about the homework assignment. You'll be given a worksheet related to integers.
[Hand out worksheets or mention how they will be distributed]
Please complete it and bring it back next lesson. Don't forget! This will help reinforce what we've covered today.
Alright, wonderful work today, everyone. Have a great day, and I’ll see you next time!"
Define what an integer is and give two examples of positive integers and two examples of negative integers.
On a blank number line provided, mark and label the following integers: -4, -2, 0, 3, and 5.
Write a positive integer that is greater than 10 and less than 20.
Write a negative integer that is less than -5.
Solve the following problems and show your working:
Discuss with a family member how you would explain the concept of positive and negative integers to someone who has never learned about them before. Write down what you discussed.
Create a short story or scenario where integers might be used in real life, including at least two positive integers and two negative integers.
Explain the importance of understanding integers in mathematics and provide two examples of where they might be useful in everyday situations.
Reflect on what you found most challenging about today’s lesson on integers. Write a few sentences about it.
Find and write down two integer-related websites or online resources that could help you learn more about integers.
| Question | Answer |
|----------------------------------------------------------------------|--------|
| What is an integer? | |
| Can you name three examples of integers? | |
| Where are positive integers located on a number line? | |
| Where are negative integers located on a number line? | |
| Can you identify the location of zero on a number line? | |
| What is a positive integer less than 5? | |
| What is the result of adding 5 and -3? | |
| How do you subtract -2 from -4? | |
| What is the importance of understanding integers? | |
| How did the number line activity help you understand integers? | |