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Understanding Percentages: Solving Real-World Problems in Mathematics

In this lesson, students will learn how to find percentages of quantities and solve mathematical problems involving the relationship between parts and wholes. The focus is on understanding discounts by analyzing a scenario where Jane pays $40 after a 20% discount, leading to the calculation of the original price. Students will engage in group activities to tackle exploratory challenges, demonstrate their skills using academic math language, and complete homework assignments to solidify their understanding of percentages.

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Understanding Percentages: Solving Real-World Problems in Mathematics

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Presentation Transcript

  1. Activator: • Sit down SILENTLY • Take HW out and make sure name is on it. • Write HW in agenda • Solve in Math notebook Jane paid $40 for an item after she received a 20% discount. Jane’s friend says this means that the original price of the item was $48. How do you think Jane’s friend arrived at this amount?

  2. Objective I will be able to find the percent of a quantity and solve problems involving finding the whole when given a part and the percent to solve real world and mathematical problems. I will demonstrate my understanding by solving the exploratory challenges with at least 80% accuracy. 6RP3

  3. Language Objective • By the end of the lesson, I will be able to use all four language domains of listening, speaking, reading and writing to communicate the academic math language of percent to find the percent of a quantity and solve problems involving finding the whole when given a part and the percent to solve real world and mathematical problems. • I will demonstrate my understanding by solving the exploratory challenges with at least 80% accuracy. • Academic Math Language Vocabulary: percent, part, whole, part-to-whole, whole-to-part

  4. Claim: To find 10% of a number, all you need to do is move the decimal to the left once. Make a prediction. Do you think the claim is true or false? Explain why. Determine 10% of 300.

  5. How do you feel? topic.

  6. Classwork • With your group, solve: • Exploratory Challenges 1 and 2, pgs. S128-130.

  7. How do you feel? topic.

  8. Ticket-to-Go Write one problem using a dollar amount of $420 and a percent of 40%. Provide the solution to your problem.

  9. In your agenda please copy tonight’s homework Math: Pg. 131

  10. Accommodations • Read or reread presentation or activity directions, as needed or after prompting • Use examples to model and act as a guide for emerging learners

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