| 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 no exponents |
| 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 |
Order of Operations (No Exponents)
Grade 5
Mathematics
20 students
30 minutes
This lesson aligns with the Common Core State Standards for Mathematics, specifically focusing on operations and algebraic thinking.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction | 5 min | Introduce the concept of order of operations. Provide a simple example and discuss its importance in mathematics. |
| 2 | Explanation of PEMDAS | 5 min | Explain the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Focus on operations without exponents. |
| 3 | Guided Practice | 10 min | Solve 2-3 problems together as a class using the order of operations. Encourage students to explain their reasoning. |
| 4 | Independent Practice | 5 min | Distribute worksheets for students to practice on their own. Circulate the room to provide support as needed. |
| 5 | Homework Assignment | 2 min | Assign homework that reinforces the order of operations. Explain that students should submit their homework by the next class. |
| 6 | Conclusion and Review | 3 min | Recap the key points of the lesson. Address any questions and remind students of the significance of the order of operations. |
"Good morning, everyone! Today we will be diving into a very important concept in mathematics called the order of operations. Can anyone tell me what they think the term 'order of operations' means?
[Wait for a few student responses.]
"Great ideas! The order of operations is like a set of rules that helps us know which math operations to do first when we have a problem with different operations involved. It's vital because it ensures that we all arrive at the same answer when we solve the same problem."
"Now, let’s introduce a helpful acronym known as PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. However, for today, we're going to focus on operations without using exponents.
"Let’s break this down a bit. Parentheses are done first, then we move on to multiplication and division from left to right, and finally, we tackle addition and subtraction from left to right.
"Can someone remind me what the first letter in PEMDAS stands for? Yes! Parentheses! Fantastic!
"Now, let’s see why this is so important."
"Okay, it’s time for guided practice! I’m going to write a math problem on the board, and we will solve it together as a class.
[Write the first problem: 3 + 2 × (8 - 3)]
"Who can tell me the first step according to PEMDAS? Yes, we need to solve the operation inside the parentheses first! What do we get when we do 8 minus 3?
[Wait for response.]
"Exactly! That’s 5. Now, let’s rewrite our problem. What do we have now?
[Rewrite: 3 + 2 × 5]
"Now, what’s next according to our order of operations? Yes, we do multiplication next! So what is 2 times 5?
[Wait for response.]
"Good! That’s 10. Let's finish: what’s 3 plus 10?
[Wait for response.]
"That's right! 13. Great work! Let’s try another one."
[Write a second problem and repeat the process.]
"Fantastic teamwork, class! Now, it's time for you to practice on your own. I’m going to hand out worksheets with problems for you to solve using the order of operations.
[Distribute worksheets.]
"Take about 5 minutes to complete these problems. If you have any questions, just raise your hand, and I’ll come around to help you. Remember to use your individual whiteboards if you need to work something out first."
[Circulate and provide support as needed.]
"Okay, everyone, time is up! For homework, I want you to complete the assignment I’ll be giving you. This will reinforce what we learned today about the order of operations.
"Make sure you remember to work on these problems at home and submit them in the next class. You don’t need to present your homework; just make sure it's ready to turn in.
"Any questions about the homework?"
"To wrap up our lesson, let’s quickly recap what we’ve learned today! We talked about the order of operations and the acronym PEMDAS, which helps us remember the order in which to solve mathematical expressions.
"We’ve gone through guided practice together and you’ve all worked on your own problems. Does anyone have any questions or thoughts about the lesson?
[Address any questions.]
"Remember, understanding the order of operations is essential for solving math problems correctly. Great job today, everyone! I look forward to seeing all of your homework!"
Solve the following expression using the order of operations:
( 5 + 3 \times (10 - 4) )
Evaluate:
( (6 + 4) \div 2 + 3 )
Calculate the result of:
( 8 + 2 \times (3 + 5) - 6 )
Simplify this expression:
( 12 - (2 + 3) \times 2 + 8 )
What is the value of:
( (9 - 3) \times (2 + 1) + 5 )
Solve:
( 7 + 3 \times 2 - (4 \div 2) )
Find the answer for:
( (2 + 3) \times 2^3 - 6 ) (Note: Even though we discussed not using exponents, this is for practice. Remember to use brackets and solve comprehensively)
Demonstrate your understanding by explaining how you arrived at the answer for:
( 3 + (6 - 1) \times 2 ). Write a few sentences to describe each step you took.
Create your own expression using at least three different operations (addition, subtraction, multiplication, or division) and include parentheses. Solve the expression and write down your solution as well as your reasoning.
Reflect on the lesson: Why is it important to follow the order of operations when solving math problems? Write a short paragraph explaining your thoughts.
Make sure to show all your work and write neatly. Good luck, and remember to ask questions if you're struggling with any concepts!