| 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 | ratios |
| 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 |
Mathematics
Ratios
Grade 6
90 minutes
31 students
By the end of this lesson, students will be able to:
This lesson aligns with the Zearn curriculum standards for Grade 6 mathematics, specifically focusing on ratios and proportional reasoning.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction | 10 mins | Introduce the concept of ratios using visual aids. Discuss real-life examples (e.g., recipes, maps). |
| 2 | Direct Instruction | 20 mins | Explain how to write and interpret ratios. Use examples on the whiteboard. Show the relationship between different forms of ratios. |
| 3 | Guided Practice | 15 mins | Work through problems as a class using ratio cards; allow students to participate in solving problems on the board. |
| 4 | Independent Practice | 20 mins | Distribute ratio worksheets for students to complete independently. Circulate the room to provide support. |
| 5 | Homework Assignment | 5 mins | Assign homework that reinforces the day’s lesson without asking students to present it. Explain expectations and due date. |
| 6 | Interactive Activity | 15 mins | Use computers/tablets (if available) for students to practice ratios through online games and activities. |
| 7 | Review and Q&A | 5 mins | Summarize key points from the lesson. Encourage students to ask questions for clarity. |
| 8 | Exit Ticket Reflection | 5 mins | Distribute exit tickets for students to write one thing they learned from the lesson and a question they still have. Collect before they leave. |
"Good morning, everyone! Today, we are diving into an exciting topic in math—ratios! Before we get started, I want you all to think of a situation where you might use ratios in real life. Can anyone give me an example?"
[Wait for student responses.]
"Great! Some of the examples you might have mentioned could be recipes, like mixing ingredients, or maps, to show distances between places. Today, we will learn how to write and understand ratios, and tackle some real-world problems, so let’s get started!"
"To understand ratios, we need to know what they actually are. A ratio is a way to compare two quantities. We can write a ratio in a few different forms, such as 'a to b', 'a:b', or 'a/b'. Let's take a look at the relationship between these forms."
[Draw examples on the whiteboard.]
"For instance, if we have 2 apples and 3 oranges, we can express the ratio of apples to oranges in three ways: 2 to 3, 2:3, or 2/3.
"Now, let’s look at some examples together. On the board, I’ll write down a few pairs of quantities, and I want you to help me write the ratios in all three forms. Who can start us off?"
[Engage with students and guide them through writing ratios on the board.]
"Awesome job on those examples! Now, we’re going to do a guided practice. I have some ratio cards here. Each card has a different ratio written on it, and I’ll call on a few students to come up and solve the problems as a class."
"Let’s work through the first card together. It says the ratio is 4:5. Who can tell me how we might represent this ratio differently?"
[Encourage students to participate and write their answers on the board.]
"Good! We can express it as 4 to 5 or 4/5. Let’s keep going and see how many of these we can solve together."
"Now it’s time for you to try some ratios on your own! I’m going to hand out ratio worksheets, and you’ll work independently to complete them. Remember, try to write the ratios both ways we’ve learned. While you're working, I’ll be walking around to help if you have any questions."
[Distribute worksheets and circulate around the room for support.]
"All right, everyone! As we wrap up our lesson, I have a short homework assignment for you. I'd like you to complete a few practice problems on ratios that you'd find in your textbook. They'll reinforce what we learned today."
"The homework is due on Friday, and please don’t worry about presenting it to the class. Just complete it and bring it back. If you have any questions, feel free to reach out to me!"
"Next up, let’s switch gears a bit! If you have access to a computer or tablet, we will play some online games that focus on ratios. These activities will reinforce your learning in a fun way."
"Get into pairs and use the computers/tablets to tackle these ratio challenges. I want to see teamwork in action!"
"Okay, everyone, let's come back together. To summarize what we learned today: Ratios allow us to compare two quantities, and we can express them in different forms. Understanding ratios is important because we can apply them to real-life situations."
"Now, does anyone have any questions or something they’d like to clarify before we finish for the day?"
[Encourage questions and provide clear answers.]
"Before you leave, I’d like you to take a minute to fill out an exit ticket. On this piece of paper, write one thing you learned today and one question you still have about ratios."
"Please hand these in to me as you leave. This will help me understand what you grasped and what we need to revisit. Thank you for your fantastic participation today! Have a great day!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: A classroom setting with students} | - Introduction to ratios |
| - Real-life examples (recipes, maps) | ||
| - Overview of what will be covered today | ||
| 2 | {Image: Whiteboard with written examples} | - Definition of a ratio |
| - Ways to express ratios: 'a to b', 'a:b', 'a/b' | ||
| - Example: 2 apples and 3 oranges as 2:3, 2 to 3, or 2/3 | ||
| 3 | {Image: Students participating in class} | - Guided practice with ratio cards |
| - Students will convert ratios into different forms | ||
| - Collaborative writing on the board | ||
| 4 | {Image: Ratio worksheets} | - Independent practice with ratio worksheets |
| - Focus on writing ratios learned in class | ||
| - Teacher available for assistance | ||
| 5 | {Image: A textbook on a desk} | - Homework assignment on ratios |
| - Complete practice problems from the textbook | ||
| - Due on Friday, no presentation needed | ||
| 6 | {Image: Students using computers} | - Interactive activity with online ratio games |
| - Working in pairs to complete challenges | ||
| - Emphasis on teamwork and fun learning | ||
| 7 | {Image: Teacher summarizing in front of class} | - Review of key concepts learned |
| - Importance of understanding ratios in real-life contexts | ||
| - Open floor for questions and clarifications | ||
| 8 | {Image: Students filling out exit tickets} | - Exit ticket reflection |
| - Write one thing learned and one question remaining | ||
| - Submission of exit tickets as class ends | ||
| 9 | {Image: Classroom interaction} | - Recap of lesson steps and objectives |
| - Encouragement for participation and engagement | ||
| 10 | {Image: A friendly farewell gesture} | - Conclusion of the lesson |
| - Thank students for participation | ||
| - Reminder for the homework assignment |
Write the ratio of 6 cats to 4 dogs in all three forms (e.g., "a to b", "a:b", "a/b").
If a recipe requires 3 cups of flour for every 2 cups of sugar, express this ratio in the form of a fraction.
A car travels 120 miles using 3 gallons of gas. What is the ratio of miles to gallons? Write it in all three forms.
Sally has a collection of 8 red marbles and 12 blue marbles. What is the simplified ratio of red marbles to blue marbles?
If Tom has 15 pencils and 5 erasers, what is the ratio of pencils to total items (pencils and erasers combined)?
A classroom has 10 boys and 15 girls. What is the ratio of boys to girls? Write your answer in the simplest form.
Convert the ratio 7:4 into a phrase using "to."
There are 5 apples and 10 oranges. If you buy 10 more apples, what will be the new ratio of apples to oranges in simplest form?
A pizza place sells 3 types of pizzas: cheese, pepperoni, and veggie. If they sell 7 cheese, 5 pepperoni, and 3 veggie pizzas, what is the ratio of cheese pizzas to total pizzas sold?
In a box of crayons, there are 20 blue crayons and 15 green crayons. What is the ratio of blue crayons to green crayons? Express it as a fraction.
Can you think of a time when you used ratios in a recipe? What was the dish, and how did you adjust the amounts of the ingredients?
If you were to create a new drink by mixing two juices together in the ratio of 3:2, how much of each juice would you need if you wanted a total of 25 ounces?
Imagine you have a ruler and a map. If the ratio on the map is 1:1000, and the distance between two towns is 2 inches on the map, how far apart are they in real life?
Can you create and share a real-world scenario that involves a ratio of your choice? What is the context, and how did you arrive at that ratio?
If your backpack contains 4 red notebooks and 6 blue notebooks, what is the ratio of red to blue notebooks? Can you express that ratio in all three forms we discussed?