| 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 | Comparing unit rate |
| What length (min) | 45 |
| What age group | Year or Grade 8 |
| Class size | 36 |
| What curriculum | Savvas |
| 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 | 6 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Comparing Unit Rates
Mathematics
Grade 8
45 minutes
36 students
Savvas
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction to Unit Rates | 10 | Begin with a brief introduction to unit rates and their importance in real life. Use examples that relate to students' interests (e.g., pricing, speeds). |
| 2 | Printable Cards Distribution | 5 | Distribute printable cards to students. Explain that they will fill these in during the lesson with examples of unit rates from scenarios provided. |
| 3 | Group Activity | 15 | Organize students into groups of four. Assign each group a different scenario to calculate and compare unit rates. Provide materials and support as needed. |
| 4 | Class Discussion | 5 | Reconvene the class to discuss findings from the group activity. Encourage students to share their solutions and reasoning without naming groups. |
| 5 | Collecting/Checking Cards | 5 | Have students hand in their completed printable cards for checking. Randomly check some completed cards to ensure understanding and engagement. |
| 6 | Homework Assignment | 5 | Assign practice problems on comparing unit rates as homework. Briefly outline expectations and provide examples of what they should focus on. |
"Good morning, everyone! Today, we’re going to dive into a fun and practical topic in mathematics—unit rates. Can anyone tell me what a unit rate is?
[Pause for responses]
"That's right! A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity is there for each unit of another quantity. Unit rates are everywhere! For instance, when you go shopping, you might see prices like '3 apples for $1'—here, the unit rate is the price per apple. Why do you think knowing how to calculate unit rates is important?
[Encourage students to think of situations]
"Exactly! It helps us make better decisions in our everyday lives, like ensuring we get the best value for our money or understanding speed while driving. Let’s get started!"
"Next, I will hand out some printable cards for you. These are for you to fill out during our lesson today.
[Distribute the cards]
"On these cards, you will write down examples of unit rates that we will explore throughout the lesson. Make sure to have your card ready, as we will be using it later in our activities. Does everyone have their card?
[Wait for affirmation]
"Great! Let’s move on!"
"Now it's time for our group activity! I’d like you to form groups of four.
[Give students a moment to group]
"I will give each group a different scenario related to unit rates.
[Distribute scenarios]
"Your task is to calculate the unit rate from your scenario and then compare it with the unit rates of the other groups. Use your calculators, and don't hesitate to use the graph paper for any visual representations. If you have any questions, I’ll be walking around to assist. You have 15 minutes. Let’s get to it!"
"Okay, everyone, let’s regroup and share what you discovered! I would like each group to present their findings without mentioning your group names.
[Encourage students to share]
"What unit rates did you calculate?
[Allow time for responses]
"Interesting! Did anyone notice any surprising results when comparing the unit rates?
[Encourage further discussion]
"Thank you all for sharing. It’s great to see how diverse the applications of unit rates can be!"
"Now, please pass your completed printable cards to the front. I’ll be checking some of them randomly to see how well you grasped the concept.
[Collect cards]
"While I'm doing that, if you were confused on any point or have questions, please feel free to speak up!"
"Great job today, everyone! For homework, I want you to complete a set of practice problems on comparing unit rates.
[Provide handouts]
"Make sure you read the problems carefully, and use what we learned in class to solve them. If you have any difficulties, jot them down and we can go over them in our next lesson.
"I'll be collecting these in our next class, so be sure to have them ready. Thanks for your hard work today!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: A classroom setting with students engaged} | - Introduction to unit rates - Definition: Comparison of two quantities - Importance in everyday life (e.g., shopping, speed) |
| 2 | {Image: Printable cards on a desk} | - Distribution of printable cards - Purpose: Record examples of unit rates - Reminder to keep cards handy for activities |
| 3 | {Image: Groups of students collaborating} | - Group activity setup - Form groups of four - Task: Calculate unit rates from scenarios - Use calculators and graph paper |
| 4 | {Image: Students presenting their findings} | - Class discussion recap - Groups share unit rates calculated - Noticing surprising results - Diverse applications of unit rates |
| 5 | {Image: Teacher collecting cards from students} | - Collecting/checking printable cards - Assess understanding of the concept - Encourage questions and clarification |
| 6 | {Image: Homework assignment being handed out} | - Homework assignment details - Complete practice problems on comparing unit rates - Opportunity to discuss difficulties in the next class |
| Question | Answer |
|---|---|
| What is a unit rate? | |
| Can you give an example of a unit rate you might see while shopping? | |
| Why is it important to know how to calculate unit rates in everyday life? | |
| How would you calculate the unit rate if you found 4 oranges for $2? | |
| What are some scenarios where understanding unit rates can help you make better decisions? | |
| How did your group calculate the unit rate during the activity? | |
| Did you find any surprising results when comparing the unit rates from different groups? | |
| What challenges did you face while determining the unit rates in your scenarios? | |
| How can visual representations aid in understanding unit rates? | |
| What did you learn about unit rates that you didn’t know before this lesson? |