| 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 | |
| What length (min) | 60 |
| What age group | Year or Grade 7 |
| Class size | 20 |
| What curriculum | Social Studies |
| 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 |
Mathematical Concepts: Introduction to Ratios and Proportions
Grade 7
Mathematics
20
60 minutes
This lesson corresponds to the national curriculum for Mathematics at the Grade 7 level, focusing on ratios and proportions.
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Introduction | 10 | Briefly introduce the topic of ratios and proportions; discuss real-life applications. |
| 2 | Homework Presentations | 15 | Invite 2-3 students to present their homework on ratios, encouraging questions from peers. |
| 3 | Direct Instruction | 15 | Explain the concepts of ratios and proportions; show examples on the whiteboard. |
| 4 | Activity: Distributing Cards | 5 | Hand out printed cards to each student. Explain that they will fill these during the lesson. |
| 5 | Guided Practice | 10 | Work through example problems as a class, filling in the cards with relevant information. |
| 6 | Independent Practice | 10 | Students complete practice problems on ratios and proportions using their filled cards. |
| 7 | Collection of Cards | 5 | Collect or randomly check what students have filled in on their cards for understanding. |
| 8 | Conclusion & Wrap-Up | 5 | Recap learning objectives and key takeaways; assign homework for further practice. |
Assign students to find real-world examples of ratios and proportions and prepare to discuss their findings in the next class.
"Good morning, everyone! Today we are going to dive into an exciting topic in our mathematics curriculum: ratios and proportions. These concepts are not just theoretical; they appear all around us in daily life. For example, have you ever heard of recipes where ingredients are measured in ratios? Or how about in sports, where ratios are used to represent player statistics? Let’s get started!"
"Now, before we move into our main lesson, I’d like to invite a few of you to present your homework on ratios. Who would like to go first? Remember, as your classmates present, feel free to ask them any questions or share your thoughts. This is a great way for us to learn from each other!"
[Allow 2-3 students to present their homework, encouraging peer interaction.]
"Fantastic presentations, everyone! I love how you all incorporated different examples of ratios into your work. Let's keep those ideas in mind as we go through today's lesson."
"Now, let’s officially introduce ratios and proportions. A ratio is a way to compare two quantities. For example, if there are 2 apples and 3 oranges, the ratio of apples to oranges is 2 to 3, or written as 2:3.
Proportions, on the other hand, show that two ratios are equal. For instance, if you know that 1/2 = 2/4, that's a proportion.
[Begin writing examples on the whiteboard.]
"Let’s simplify this: if I have a ratio of 4:8, how could I simplify that? Yes! We can divide both sides by 4 to get 1:2. Simple, right? I’ll show another example.
[Continue providing examples and asking students to simplify other ratios.]
"Now that we have these concepts down, let’s move on to a fun activity!"
"Next, I’m going to hand out printable ratio and proportion cards to each of you. Take one card. These cards will help us during the activities today as we apply what we have learned."
[Distribute the cards to each student.]
"Make sure you have your card ready because we’ll be filling it out together as we practice!"
"Now let’s do some practice as a class together. I’ll write some problems on the board, and I want you to fill in your cards with the information we discuss.
Here’s our first question: If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar? Yes, that’s right! It is 3:2.
Now, how about we figure out a proportion? If 7 pencils cost $3.50, how much would 14 pencils cost?
[Guide students through several more problems, encouraging them to fill in their cards with answers.]
"Great job, everyone! You’re catching on really well!"
"Now it's your turn to work independently. Using your filled-out cards, please solve the problems on your practice worksheets. You have 10 minutes, and I’ll be here to help if you have any questions."
[Circulate around the classroom as students work independently, offering assistance where needed.]
"Time’s up! Please pass your cards to the front of the classroom. I’ll be checking your cards for understanding, so make sure you’ve filled them out completely. This will help me see how well you’ve grasped today’s concepts."
[Collect the cards for assessment.]
"Let’s recap what we learned today: we explored ratios, learned how to simplify them, and understood proportions and how they relate to ratios. What are some key takeaways from today’s lesson?"
[Encourage a brief class discussion about key points.]
"For your homework, I want you to find real-world examples of ratios and proportions. Be prepared to discuss what you find in our next class. Thank you all for your hard work today! See you next time!"
| Question | Answer |
|-----------------------------------------------------------------------------------------------|--------|
| What is the definition of a ratio? | |
| How do you write the ratio of 2 apples to 3 oranges? | |
| What is a proportion? | |
| If you have a ratio of 4:8, how can you simplify it? | |
| What is the ratio of flour to sugar if a recipe calls for 3 cups of flour for every 2 cups of sugar? | |
| If 7 pencils cost $3.50, how much would 14 pencils cost? | |
| Can you give an example of where ratios are used in everyday life? | |
| What did we do during the independent practice portion of the lesson? | |
| Why is it important to understand ratios and proportions in mathematics? | |
| What is one key takeaway from today’s class? | |