| 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 | Order of operations |
| 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 |
Order of Operations
Grade 7
Mathematics
20 Students
30 Minutes
This lesson aligns with the Common Core State Standards for Mathematics, specifically focusing on expressions and equations, including the proper use of parentheses and the order of operations.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction to Topic | 5 minutes | Introduce the concept of order of operations and its relevance. Discuss PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to clarify the steps. |
| 2 | Interactive Explanation | 10 minutes | Engage the class with a few sample problems demonstrating the order of operations. Use the whiteboard to visually show the application of each step. |
| 3 | Guided Practice | 7 minutes | Provide students with a few problems to solve in pairs. Walk around to assist and address confusion about the order of operations, reinforcing learning. |
| 4 | Independent Practice | 5 minutes | Distribute a worksheet with problems to reinforce the order of operations, allowing students to work individually. Encourage them to use calculators if needed. |
| 5 | Homework Assignment | 1 minute | Assign homework related to order of operations. Provide instructions to complete the worksheet by the next class without being asked to present it in front of the class. |
| 6 | Closing and Review | 2 minutes | Recap the main points of the lesson and answer any lingering questions. Highlight the importance of the order of operations in solving math problems accurately. |
"Good morning, everyone! Today, we're going to explore an important concept in mathematics called the 'Order of Operations.' Can anyone tell me why it's important to follow a certain order when solving mathematical expressions? [Pause for responses]
That's right! If we didn't have a specific order, we could end up with different answers for the same problem, and that would create confusion.
Now, we typically use a formula to remember the order of operations, which is PEMDAS. Can anyone help me with what each letter stands for? [Pause for responses]
PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let’s remember that this order helps us solve math problems correctly and efficiently!"
"Now, let’s dive into some examples. I'll write a problem on the whiteboard: 8 + 2 × 5.
First, who can tell me what we should do first according to PEMDAS? [Wait for a student to respond]
That's right, multiplication comes before addition! So we calculate 2 × 5 first, which gives us 10.
Now, what do we do next? [Wait for responses]
Correct! We add 8 and 10 together. So, what is our final answer? [Wait for student responses]
Excellent! The answer is 18.
Now, let’s try another example together: (3 + 5) × 2.
What do we need to do first this time? [Wait for student responses]
Exactly, we solve inside the parentheses first to get 8, and then multiply that by 2. What does that give us? [Wait for responses]
Great, 16!
I’ll show you a few more problems, and I want you all to think about how PEMDAS applies each time. Let's do one more: 4 + 6 ÷ 2 - 1. What’s the first step here? [Encourage discussion]
Fantastic, we handle division before addition and subtraction. So we do 6 ÷ 2 first, which is 3. What comes next? [Wait for responses]
Correct! We continue from left to right with addition and subtraction. So our final result here is 4 + 3 - 1, which equals 6. You all are doing amazing!"
"Now, I want you to partner up and try some problems together. I will give each pair a few practice problems to solve.
Problem 1: (5 + 3) × 2
Problem 2: 9 - 6 ÷ 3 + 1
Problem 3: 2 × (4 + 1) - 3
Use PEMDAS to guide you. Remember, start with parentheses or any operations. I’ll be walking around to help you if you have questions or need some clarification. Let’s see how you do!" [Walk around and assist]
"Alright, class, it’s time for some individual work. I’m handing out a worksheet with several problems that will help reinforce what we've learned today.
Remember to apply the order of operations carefully! You can use your calculators if you get stuck, but try to work through it with PEMDAS first.
You've got 5 minutes to complete as many problems as you can. If you finish early, feel free to double-check your work. Go ahead!" [Distribute worksheets and monitor]
"Before we wrap up today, I’d like to assign some homework to reinforce today’s lesson. You will receive a worksheet that has more problems on the order of operations.
Please complete this by the next class. You don't need to present your homework to the class, but make sure you try your best, as the problems will vary in difficulty.
Do you have any questions about the homework before we finish?" [Answer any questions]
"To sum up our lesson today, can anyone remind me why the order of operations is crucial? [Wait for answers]
Exactly! It helps us find the correct solutions and avoid confusion. Remember to use PEMDAS when you’re working on math problems.
If you have any lingering questions about anything we've learned today, now is the time to ask.
Great job today, everyone! I'm looking forward to seeing your homework next class!"
What does the acronym PEMDAS stand for? Describe each term.
Why is it important to follow the order of operations when solving mathematical expressions? Provide an example that illustrates your point.
Solve the following problems using PEMDAS:
Using PEMDAS, simplify the following expression step by step:
Create your own problem that requires using the order of operations to solve. Provide the solution and explain each step you took to arrive at the answer.
Compare and contrast the results of the following two expressions if you do not follow the order of operations:
Explain how the order of operations can change the outcome of a mathematical problem. Provide two distinct examples to illustrate your answer.