You need to create a plan of a lesson for a teacher. Format it using markdown formatting (do not use html tags, only use markdown, including...
Full lessonCreate 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 subjectMathematics
What topicLes pourcentages
What length (min)30
What age groupCollege
Class size20
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 slides5
Create fill-in cards for students
Create creative backup tasks for unexpected moments

Lesson plan

Topic

Les pourcentages

Objectives

Materials

Grade/Age Group

College

Subject

Mathematics

Lesson Length

30 minutes

Number of Students

20

National Curriculum Compliance

This lesson plan aligns with the national mathematics curriculum for college-level students, focusing on understanding percentages, their calculations, and applications.

Lesson Structure

Step Number Step Title Length (min) Details
1 Introduction to Percentages 5 Explain what percentages are and provide real-life examples. Offer definitions and context for their importance.
2 Checking Homework 5 Collect homework assignments from the previous lesson. Quickly review key concepts without calling on students. Provide solutions after checking.
3 Guided Practice 10 Work through several percentage problems as a class. Explain the steps involved in calculating percentages using examples on the whiteboard.
4 Class Activity 5 Divide students into small groups to solve percentage problems. Encourage collaboration and discussion among peers.
5 Summary and Q&A 3 Recap the main points of the lesson. Address any lingering questions from students.
6 Assigning Homework 2 Assign homework related to percentage calculations and applications. Provide clear instructions and expectations for completion.

Conclusion

This lesson provides a structured approach to teaching percentages, ensuring that students grasp the fundamental concepts and gain practical experience in applying their knowledge. By incorporating checks for understanding and opportunities for collaboration, the lesson fosters an engaging learning environment.

Lesson script

Introduction to Percentages

"Good morning, everyone! Today, we will be diving into the world of percentages. A percentage is simply a way to express a number as a fraction of 100. For example, if I say that 50% of the class passed the exam, it means that half of you—which would be ten students—achieved a passing score.

Percentages are everywhere in our daily lives, from discounts in stores to statistics in the news. Understanding percentages is crucial because they help us understand proportions and make informed decisions.

Now, can anyone think of a situation where understanding percentages might be important?"

Checking Homework

"Thank you for your ideas! Now, let’s shift gears and check the homework from our previous lesson. Please hand in your assignments now.

While I gather your homework, let’s take a few moments to review the key concepts we covered. I will go over some solutions to help clarify any questions you might have.

[After collecting homework]

Here’s a problem we worked on last time: If you scored 80 out of 100 on a test, what percentage is that? The solution is 80%. That’s calculated by dividing 80 by 100 and then multiplying by 100.

Does anyone have any questions or want to go over another example?"

Guided Practice

"Great! Now, let’s do some guided practice together. I will display some percentage problems on the whiteboard, and we will solve them as a class.

[Begin writing problems on the whiteboard]

Here’s the first problem: If a shirt originally costs $40 and is on sale for 25% off, how much will you pay?

First, we calculate 25% of $40, which is $10. So, you would take the original price and subtract the discount: $40 - $10 equals $30.

Let’s try another one: If you scored 90 out of 120 on a quiz, what percentage did you get?

Follow along, and work out the problem on your own. Remember, you divide the score by the total and multiply by 100.

What do we have?”

Class Activity

"Awesome work, everyone! Now, I want you to get into small groups of four. Each group will receive a set of percentage problems to solve together.

I encourage you to discuss the problems and help each other out. If someone is struggling, lend your support.

[Distribute percentage problem sets to each group]

You’ll have about 5 minutes for this activity. I’ll be walking around to listen and assist as needed, so raise your hand if you need help!"

Summary and Q&A

"Alright, let’s regroup! I hope you enjoyed collaborating with your peers on those problems.

To summarize today, we learned what percentages are, how to calculate them, and discussed their relevance in real life.

Are there any questions about what we covered today? This is your chance to ask anything that’s still unclear!"

Assigning Homework

"Thank you for your insightful questions. For your homework, I’d like you to complete the worksheet I’m handing out. It includes various percentage calculations and real-life application problems.

Please ensure that you approach the problems thoughtfully and show all your workings. We’ll discuss the answers in our next class.

Do you have any questions about the homework before we end today's lesson?"

Homework

  1. What percentage is represented by the fraction 3 out of 20? Show your working.

  2. A laptop originally costs $800. If it’s on sale for 15% off, how much will you pay for the laptop after the discount? Show your calculation.

  3. You scored 45 out of 60 on a test. What percentage did you achieve? Provide the steps you took to reach your answer.

  4. If 70% of a class of 30 students passed an exam, how many students passed? Show how you calculated your answer.

  5. A store offers a 40% discount on a dress that costs $50. How much do you save and what is the final price of the dress after the discount?

  6. If a jar contains 200 marbles and 25% of them are red, how many red marbles are there in the jar? Demonstrate your calculation.

  7. Your monthly allowance is $100. If you decide to save 25% of it each month, how much money will you save? Show your working.

  8. During a survey, 65% of participants said they prefer chocolate ice cream over vanilla. If 120 people participated in the survey, how many preferred chocolate? Provide the calculations.

  9. A book was priced at $15, but it is now $12 after a discount. What percentage discount was applied? Show your working.

  10. If a student originally scored 72 out of 90 on a project and later improved their score to 80 out of 90, what percentage increase in their score is that? Explain your calculation steps.