| 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 / proportions |
| 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 |
Ratios and Proportions
Year/Grade 7
Mathematics
30 minutes
20 students
The lesson plan aligns with the national curriculum standards for Grade 7 Mathematics, focusing on ratios and proportions.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction to Ratios | 5 mins | Introduce the concept of ratios with definitions and examples. Engage students by asking simple questions. |
| 2 | Explaining Proportions | 5 mins | Define proportions and demonstrate how to determine if two ratios are equivalent with examples. |
| 3 | Activity - Distributing Cards | 5 mins | Hand out printable cards to each student. Explain that they will fill these in during the lesson. |
| 4 | Guided Practice | 10 mins | Work through a few ratio and proportion examples as a class on the whiteboard. Encourage participation. |
| 5 | Individual Activity | 3 mins | Allow students to fill in their cards with answers from the examples discussed. Encourage collaboration with a partner. |
| 6 | Checking Cards | 5 mins | Collect the printable cards for review. Conduct a random checking of answers without individual presentations. |
| 7 | Assigning Homework | 2 mins | Distribute worksheets with additional problems on ratios and proportions as homework. Explain expectations and due date. |
"Good morning, everyone! Today, we’re going to dive into an important concept in mathematics—ratios and proportions. Can anyone tell me what they think a ratio is? Yes, that's right! A ratio compares two quantities to show their relative sizes. For example, if we have 2 apples and 3 oranges, the ratio of apples to oranges is 2 to 3. That's written as 2:3.
Let's think of some examples from our daily lives—maybe something you’ve seen in a recipe or while shopping. Who can give me an example of a ratio they've encountered outside of class?"
"Great examples, everyone! Now, let’s talk about proportions. A proportion is an equation that states that two ratios are equal. For instance, if we have the ratio of girls to boys in a class as 2:3, we could say that 4 girls and 6 boys make the same proportion.
To check if two ratios are equivalent, we can cross-multiply. For example, if we have the ratios 2:3 and 4:6, if we cross-multiply, we find 2 times 6 and 3 times 4, and both give us 12! That confirms that they are indeed proportional. Does everyone understand this concept? Any questions?"
"Now it's time to get more hands-on! I’m going to distribute some printable cards to each of you. These cards will have different ratios and proportions printed on them. While I pass these out, I want you to think about what we just discussed.
Once you have your card, keep it handy—we'll fill it in together during the lesson. Please make sure to write your name at the top."
"Okay, let’s come together and work through some examples. I’m going to solve a ratio problem on the whiteboard.
[Write example: 'If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?']
Let’s identify the ratio together. Yes, it's 3:2! Now, let’s find a proportional problem.
[Write example: 'If we have 4 pencils for every 6 erasers, is this proportion equivalent to 2 pencils for every 3 erasers?']
Let’s cross-multiply to see if they are equivalent. Yes, 4 times 3 equals 12, and 6 times 2 also equals 12! Good job, everyone!
Now, I want you all to participate. Who has another ratio or proportion to share? Let's work together on this."
"Now that we've done some guided practice, it’s your turn! I want you to take the cards you were given and fill in the answers based on what we discussed. You can work with a partner, so feel free to talk about your thoughts and collaborate.
You have 3 minutes to complete your cards. Ready, set, go!"
"Time’s up! Please pass your cards forward to me. I’ll be reviewing these to see how well you understand ratios and proportions. I won't be calling anyone out to present individually, but I will randomly check and provide feedback based on what I observe."
"Great work today, everyone! Before we wrap up, I have some homework for you. I will hand out worksheets that contain additional problems on ratios and proportions.
Your task is to complete these by our next class. Please remember to write your name and the due date at the top. If you have any questions while working on the homework, don’t hesitate to ask me for help!
Let’s finish strong today! Any last questions before we dismiss?"
Define what a ratio is and give two examples that are not discussed in class.
If a recipe calls for 5 cups of rice to every 3 cups of water, what is the ratio of rice to water? Write it in the form of a:b.
Are the ratios 6:8 and 3:4 proportional? Show your work by cross-multiplying.
Create a scenario involving a ratio of your choosing. Describe the situation and include the ratio in your explanation.
If the ratio of cats to dogs in a shelter is 4:5 and there are 20 cats, how many dogs are there in the shelter? Show your calculations.
A survey shows that 7 out of 10 students prefer chocolate ice cream over vanilla. Write this ratio and determine if the ratios 14:20 and 7:10 are proportional by cross-multiplying.
If you were to scale a recipe that requires 2 cups of flour and 1 cup of sugar to serve 12 people instead of 6, what would the new ratio of flour to sugar be?
Explain in your own words how you can determine if two ratios are equivalent. Provide an example to illustrate your explanation.
Find two examples of ratios from a magazine, newspaper, or online source. Write them down and specify what they compare.
Design a simple experiment involving ratios (e.g., mixing different colored liquids). State your hypothesis about the outcome in terms of ratios and proportions.
| Question | Answer |
|---|---|
| What is a ratio? | |
| Can you provide an example of a ratio you’ve seen in real life? | |
| What is a proportion in terms of ratios? | |
| How can we check if two ratios are equivalent? | |
| What would the ratio be for 3 cups of flour and 2 cups of sugar? | |
| Are the ratios 4 pencils to 6 erasers and 2 pencils to 3 erasers equivalent? Why or why not? | |
| What did we learn about cross-multiplication in relation to proportions? | |
| How many minutes did we have to complete the individual activity with the cards? | |
| What was the homework assignment related to ratios and proportions? | |
| What should you do if you have questions while working on the homework? |