| 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 | rates |
| What length (min) | 90 |
| What age group | Year or Grade 6 |
| Class size | 31 |
| What curriculum | zearn |
| 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 | 10 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Rates
Grade 6
Mathematics
31 Students
This lesson aligns with the Zearn curriculum standards for Grade 6 Mathematics.
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction to Rates | 15 | Introduce the concept of rates with simple definitions and relatable examples. |
| 2 | Class Discussion | 10 | Engage students in a discussion about where they see rates in everyday life (e.g., speed, price per item). |
| 3 | Direct Instruction | 20 | Explain how to calculate rates using formulas and show examples on the whiteboard. |
| 4 | Guided Practice | 15 | Work through problems as a class, providing support and addressing questions from students. |
| 5 | Independent Practice | 15 | Distribute worksheets for students to work on rate problems independently, circulate to assist where needed. |
| 6 | Homework Assignment | 5 | Hand out homework assignment sheets to reinforce the lesson; explain what is expected for completion. |
| 7 | Wrap-Up and Closing | 10 | Review key concepts covered in the lesson, answer any final questions, and summarize the day's learning. |
"Good morning, class! Today we are going to dive into a new topic in math: rates. Can anyone tell me what a rate is? Think of it as a way to compare two different things. A common example could be 'miles per hour'. That tells us how far we travel in an hour. Others might include 'price per item', like if one toy costs $10 and two toys cost $20. These are all examples of rates! Today, we're going to explore this concept much more deeply.
Now, can anyone think of other everyday situations where you encounter rates? Let’s share some examples!"
"Great responses, everyone! Let’s discuss a few examples together. Who can share a time they noticed rates in real life? For instance, think about when you go to the store or use a transportation service. What about speed limits on the road? Remember, a rate helps us understand how one thing relates to another. Rates are everywhere! Keep these examples in mind as we go further into our lesson today."
"Now, let’s learn how to calculate rates. The formula for a rate is quite simple: Rate = Quantity / Time. Let’s say you biked 30 miles in 2 hours. Based on our formula, we would do 30 divided by 2, which gives us a rate of 15 miles per hour.
I’m going to show you this example on the whiteboard. Watch closely. [Draw the example on the whiteboard.]
Now, let’s do another example together! If someone pays $60 for 4 movies, what is the price per movie? Let’s calculate it as a class. Write down the equation, and we’ll solve it together. Remember, we’re dividing the total cost by the number of movies."
"Excellent job on that last example! Now let’s practice a little more as a group. I’ll write a few problems on the board, and we can solve them together.
Take a moment to think through these problems. If you have any questions, raise your hand! Let’s discuss the answers after you’ve had some time to work through them."
"Now it’s your turn to practice on your own! I’m handing out worksheets that have similar problems for you to solve independently. Please take your time, read the questions carefully, and do your best. I will be walking around to help anyone who has questions or needs assistance."
[Distribute worksheets and circulate around the classroom to assist students as needed.]
"Alright, everyone! As you wrap up your independent practice, I want to give you a homework assignment. I’m handing out a worksheet that includes similar rate problems for you to complete at home. It’s important to reinforce what we learned today!
Make sure to read the instructions carefully and try your best. I will check these homework assignments, but we won’t be presenting them in class. If you have questions while doing your homework, feel free to reach out to me!"
"Before we end today’s lesson, let’s quickly review what we’ve learned about rates. Who can remind us what a rate is? Excellent! Now, why do you think it’s important to understand rates? Great answers!
If you have any final questions, now's the time to ask. Thank you all for your participation today! Don’t forget to complete your homework on rates for next class! See you all tomorrow!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: A classroom with students} | - Introduction to rates - Definition: Comparing two different things (e.g., miles per hour, price per item) - Importance of understanding rates |
| 2 | {Image: Whiteboard with discussion} | - Class discussion on real-life examples of rates - Examples shared: speed limits, store prices, transportation services |
| 3 | {Image: Whiteboard with calculation} | - Direct instruction on calculating rates - Formula: Rate = Quantity / Time - Example: 30 miles in 2 hours = 15 miles per hour |
| 4 | {Image: Students solving problems} | - Collaborative example: Price per movie calculation - Equation: $60 for 4 movies - Solving together: Divide total cost by number of movies |
| 5 | {Image: Board with practice problems} | - Guided practice activity - Problems to solve together: 1. 240 miles in 4 hours 2. Price per donut for 3 donuts at $5 |
| 6 | {Image: Students working independently} | - Independent practice - Handing out worksheets with similar problems - Encouragement to read questions carefully and do their best |
| 7 | {Image: Homework assignment sheet} | - Homework assignment explanation - Worksheet with rate problems to complete at home - Importance of reinforcing lesson concepts |
| 8 | {Image: Student raising hand} | - Wrap-up and review session - Recap of what was learned about rates - Importance of understanding rates in everyday life |
| 9 | {Image: Students giving answers} | - Questions from students encouraged - Discussing the importance of questions in learning - Open floor for final inquiries |
| 10 | {Image: Teacher saying goodbye} | - Closing remarks - Reminder to complete homework on rates for next class - Thanking students for participation and engagement in lesson |
Define the term "rate" in your own words and provide two examples of rates from everyday life.
If you run 5 miles in 40 minutes, what is your running rate in miles per hour? Show your work.
A grocery store is selling 4 packs of gum for $3. What is the price per pack of gum?
Calculate the rate if a car travels 300 miles in 5 hours. What is the average speed in miles per hour?
A painter charges $200 for 10 hours of work. What is the cost per hour of the painter's service?
If a person eats 3 slices of pizza in 30 minutes, how many slices do they eat per hour?
A car rental company charges $50 for 3 days. What is the daily rental rate?
During a weekend sale, a customer buys 6 shirts for a total of $120. What is the price per shirt?
If you bike 45 miles in 1.5 hours, what is your biking rate in miles per hour?
A candy shop sells bags of candy that weigh 2 pounds for $8. What is the price per pound?
A rate is a ratio that compares two different quantities. Examples include speed (miles per hour) and price (dollars per item).
7.5 miles per hour. (5 miles divided by 2/3 hours = 5 ÷ 0.6667 ≈ 7.5)
$0.75 per pack of gum. ($3 divided by 4 packs = $0.75)
60 miles per hour. (300 miles divided by 5 hours = 60)
$20 per hour. ($200 divided by 10 hours = $20)
6 slices per hour. (3 slices divided by 0.5 hours = 6 slices)
$16.67 per day. ($50 divided by 3 days = $16.67)
$20 per shirt. ($120 divided by 6 shirts = $20)
30 miles per hour. (45 miles divided by 1.5 hours = 30)
$4 per pound. ($8 divided by 2 pounds = $4)
Can you think of a scenario where the concept of rates might help you make a better decision when shopping? What would it be?
If you were to compare the rate of two different delivery services, what factors would you consider beyond just the cost?
How might understanding rates be useful in planning a road trip? Give an example!
If you could invent a new product that calculates rates for people, what would it be and how would it work?
Can you describe a time when knowing a rate (like a speed limit or price per item) helped you avoid a mistake or make a better choice?