| 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 | Solving proportion problems gcse maths foundation tier |
| What length (min) | 30 |
| What age group | College |
| 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 |
Solving Proportion Problems
College Level
Mathematics
20 Students
This lesson aligns with the National Curriculum for Mathematics, focusing on ratio and proportion, which is a key area within the GCSE Maths Foundation Tier.
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Check Homework | 5 | Collect homework assignments from the previous lesson and check them for completion without asking any students to present. |
| 2 | Introduction to Proportions | 5 | Briefly introduce the topic of proportions, discussing their importance and how they relate to everyday situations. |
| 3 | Teaching Method | 10 | Explain how to solve proportion problems using cross-multiplication, demonstrating with examples on the whiteboard. |
| 4 | Activity - Printable Cards | 5 | Distribute printable cards to each student. Explain the content and expected outcomes of filling them in during the lesson. |
| 5 | Individual Practice | 5 | Students fill in the cards with solutions to given proportion problems based on the lesson's explanation. |
| 6 | Collect/Check Cards | 5 | Collect or randomly check the cards filled in by students to assess understanding and address any misconceptions. |
"Good afternoon, everyone! Before we jump into today's topic, I would like to start by collecting your homework assignments from the previous lesson. Please pass your work to the front. I'll be checking them for completion without asking anyone to present right now, so don’t worry! Just ensure that your name is on your paper. Thank you!"
"Great! Now that I have your homework, let’s move on to our main lesson for today: solving proportion problems. First, can anyone tell me what a proportion is? [Pause for responses]
"Excellent! A proportion is essentially a statement that two ratios are equal. This concept is very important in mathematics and can be found in many real-life situations. For example, consider adjusting a recipe or figuring out the best deal while shopping. Understanding proportions can save you time and money. Let's delve deeper into how we can solve proportion problems effectively!"
"Now, I’ll show you how to solve proportion problems using the cross-multiplication method, which is a technique that helps us find unknown values in ratios.
"Let’s take an example: Say we have the proportion 3/4 = x/8. To solve for x, we cross-multiply the fractions. So, we multiply 3 by 8 and 4 by x. This gives us the equation 3 multiplied by 8 equals 4 multiplied by x.
"Who can tell me what 3 multiplied by 8 is? [Wait for responses; answer: 24]
"So we set up the equation: 24 = 4x. To find x, we’ll divide both sides by 4. What is 24 divided by 4? [Wait for responses; answer: 6]
"This means x equals 6. That is how cross-multiplication works! Let's practice a couple more examples together on the whiteboard before we move on."
"Now, I’m going to distribute some printable cards to each of you. These cards will have different proportion problems for you to solve.
"Please take a card and look at the instructions provided. You will use the cross-multiplication method as we practiced to fill in your answers. Remember, you can refer back to the examples we solved together if you need help.
"Are there any questions before I hand out the cards? [Pause for questions]
"Alright, I’ll distribute the cards now. Please take one, and let’s get started!"
"Now that you have your cards, I’d like you to work individually to solve the problems. Take your time and make sure you write down each step as you go along. It’s important to understand the process, not just the answer.
"I’ll be walking around to assist you if you have questions, so don’t hesitate to ask. You have about five minutes for this!"
"Time’s up! I’d like you to pass your cards to the front or if you’re comfortable, I’ll call some of you randomly to share your answers with the class. I'm going to quickly check the cards for comprehension.
"I’ll be looking for the correct application of cross-multiplication and your final answers. Don’t worry; this is just to see how we’re all doing. If you made mistakes, it’s a great learning opportunity!"
[Collect cards and provide feedback as needed]
"Thank you all for your efforts! I’ll review these and give you some feedback next time."
| Question | Answer |
|---|---|
| What is a proportion? | |
| How do you define cross-multiplication in solving proportions? | |
| In the proportion 3/4 = x/8, what does cross-multiplication yield? | |
| What is 3 multiplied by 8? | |
| What equation do we set up after cross-multiplying 3/4 = x/8? | |
| How do you isolate x in the equation 24 = 4x? | |
| What is 24 divided by 4? | |
| Why is it important to understand the process of solving proportions? | |
| What should you do if you get stuck while solving the cards? | |
| How will I check your understanding after you complete the printable cards? |