| 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 | Doing and subtracting integers |
| What length (min) | 30 |
| What age group | Year or Grade 5 |
| 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 |
Doing and Subtracting Integers
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction to Integers | 5 | Introduce the concept of integers. Discuss the number line and the importance of positive and negative numbers. |
| 2 | Activity: Distributing Cards | 5 | Hand out the printable cards to each student. Explain how they will use these cards to practice addition and subtraction of integers. |
| 3 | Guided Practice | 10 | Work through a few example problems as a class on the whiteboard. Involve students in solving problems together. |
| 4 | Independent Practice | 5 | Allow students time to fill out their cards with integer problems and solutions based on the lesson. |
| 5 | Collecting/Checking Cards | 3 | Collect or randomly check the printable cards filled by students to assess understanding without formal presentations. |
| 6 | Assigning Homework | 2 | Assign homework related to integers. Ensure that students understand what is expected without requiring presentations. |
"Good morning, class! Today, we are going to explore a very important concept in mathematics: integers. Can anyone tell me what an integer is? Yes, that's right! Integers are whole numbers that can be positive, negative, or zero. Let's take a look at our number line on the board.
(Point to the number line)
Here, we have numbers that are greater than zero, which are our positive integers, and those that are less than zero, which are our negative integers. This number line helps us understand the position of integers in relation to each other.
Now, why do you think it's important for us to learn about integers? (Pause for responses) Exactly! They help us solve real-life problems, like calculating temperatures or keeping track of scores. Let's get ready to dive deeper into adding and subtracting these integers today!"
"Next, I’m going to pass out some printable cards to each of you, which will help us practice.
(Hand out cards)
Each of you will receive a card that has different integer problems on it. When you get your card, look them over closely. You will be using these to practice adding and subtracting integers throughout our lesson. Does everyone have their card?
Great! Keep it handy because you’ll refer to it during our guided practice."
"Now, we will work through a few example problems together as a class.
(Write the first problem on the whiteboard)
Let’s start with this problem: 5 + (-3). Who can explain to us how they would solve this?
(Listen to student responses, offering guidance and corrections as necessary)
That's a great answer! So, we start at 5 on our number line, then we subtract 3 steps back into the negative territory, landing us at 2.
Let’s try another one together: -4 + 7. What do you think?
(Encourage students to raise their hands and participate)
Exactly! You start at -4 and move 7 steps forward. So where do we land? Yes, 3! Fantastic work, class! Remember, addition of integers can change a negative number into a positive and vice versa, based on where we start and how far we move."
"Now it’s your turn! Please take out your cards and write down the problems we just practiced. After that, I want you to come up with your own integer problems to solve, too. You can use both addition and subtraction.
(Provide time for students to write)
You have five minutes! Get started, and remember, if you have questions, raise your hand for help."
"Time’s up! I’d like you to pass your cards to the front of the class.
(Collect cards)
I’m going to check through them to see how you did on your problems. Don’t worry; this isn't a formal assessment but a way for me to see where we might need more practice. If I have time, I might ask some of you to share a problem you really enjoyed solving!"
"Alright, class, great job today! Before we end, I have a homework assignment for you.
(Write the homework instructions on the board)
I’d like you to create a mini word problem using integers, just like we discussed in class. Use both addition and subtraction in your problem. Write a few sentences explaining the solution as well.
Is everyone clear on the assignment? You have until our next class to complete it. Remember to put your name on it and bring it in ready to share!
Thank you all for your hard work today, and let’s keep practicing integers!"
Define what an integer is. Provide examples of positive, negative, and zero integers.
Using a number line, show the position of the following integers: -5, 0, and 4. Explain their relative positions to each other.
Solve the following integer addition problems:
Solve the following integer subtraction problems:
Write your own integer addition and subtraction problems, similar to the ones practiced in class. Provide the solutions to the problems you created.
Create a mini word problem that involves both addition and subtraction of integers. Include all necessary details and show how the integers help in solving the problem.
Explain why understanding integers is important in real-life situations. Provide at least two examples where integers could be useful.
| Question | Answer |
|---|---|
| What are integers? | |
| Can you identify positive and negative integers on a number line? | |
| Why is it important to learn about integers in real-life situations? | |
| How do you add a positive integer to a negative integer? | |
| What is the result of 5 + (-3)? | |
| How do you subtract a negative integer from a positive integer? | |
| What is the result of -4 + 7? | |
| How does the number line help us understand integer addition and subtraction? | |
| What integer problems did you practice on your cards? | |
| How can you create a word problem using integers? |