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Understanding Percent of Change – What are percents? – A percent represents a part out of 100. – Percents in daily life – Discounts, interest rates, and statistics. – Calculating percent of change – Find the difference, divide by original value, multiply by 100. – Real-world applications – Price changes, population growth, test score improvements. | This slide introduces students to the concept of percents and their relevance in everyday situations. Begin by explaining that a percent is a fraction of 100, which is a universal way to compare quantities. Illustrate how percents appear in daily life, such as in sales discounts, bank interest rates, and statistical data. Focus on percent of change, which measures how much something increases or decreases in comparison to its original amount. Teach the calculation method: subtract the original value from the new value, divide by the original value, and then multiply by 100 to get the percentage. Use relatable examples like the change in the price of a favorite snack or the increase in a player’s scoring average to demonstrate real-world applications. Encourage students to solve word problems involving percent of change to solidify their understanding.

Understanding Percent of Change – Define Percent of Change – The percent a value rises or falls from the original amount. – Increase vs. Decrease – Increase means the value went up, decrease means it went down. – Real-life Percent Change Examples – Price adjustments, salary changes, population growth. – Calculating Percent Change – Use the formula: ((new value – original value) / original value) * 100% | This slide introduces the concept of Percent of Change, a fundamental mathematical concept used to describe how much a number has increased or decreased in terms of percentage. It’s crucial for students to understand the difference between a percent increase and a percent decrease, as this will affect the sign of their answer. Provide real-life scenarios such as discounts during shopping or changes in the number of students in a class to illustrate the concept. Teach them the formula for calculating percent change and ensure they practice with examples. Encourage students to think of other areas where they encounter percent changes in their daily lives.

Calculating Percent of Change – Understand the formula for percent change – Percent Change = ((New – Original) / Original) × 100% – Identify original and new values – Original value is the starting point; new value is the result after change – Example: Calculate percent change – If a shirt was $20 and now is $25, what’s the percent increase? – Practice with real-world problems | This slide introduces the concept of percent of change, a crucial part of understanding percents in mathematics. Start by explaining the formula and ensure students understand each component. Emphasize the importance of correctly identifying the original and new values before calculation. Work through an example calculation as a class, such as the price change of an item, to demonstrate how the formula is applied. Encourage students to think of other real-world examples where they might need to calculate percent change. Provide additional practice problems for students to solve, reinforcing the concept.

Percent of Change: Price Increase – Read a word problem aloud – Identify key information – Look for original price, new price, and the difference – Calculate percent of increase – Use the formula (New Price – Original Price) / Original Price × 100% – Discuss the solution process – Understand how we arrived at the answer | This slide is focused on solving word problems related to the percent of price increase. Start by reading the problem aloud to ensure all students understand the context. Next, identify the original and new prices, and the difference between them, which are crucial for calculating the percent of increase. Use the formula to find the percent of increase and ensure students understand each step of the process. Discuss the solution process to reinforce the concept and address any misconceptions. Encourage students to ask questions and solve similar problems for practice.

Understanding Discounts: Percent Decrease – Discounts as percent decrease – A discount lowers the price, showing percent decrease – Example: Discount word problem – Original price $50, after 20% discount, what’s the new price? – Calculate percent of decrease – Percent decrease = (Original Price – New Price) / Original Price * 100% – Class activity: Solve discount problems | This slide aims to help students understand the concept of percent decrease through the practical example of discounts. Begin by explaining that a discount is a reduction in the original price, which can be expressed as a percentage. Use a relatable word problem involving a common item, such as clothing or electronics, to illustrate how to calculate the new price after a discount. Guide the class through the steps to determine the percent of decrease, reinforcing the formula. Finally, engage the students in a class activity where they solve similar problems in groups or individually, applying what they’ve learned to find the percent decrease for various discounts.

Percent of Change: Practice Problems – Work on problems individually – Discuss solutions with peers – Share your thinking, compare strategies – Review answers as a class – We’ll go over each problem and answer – Understand different methods – There are often several ways to solve a problem | This slide is designed to guide students through a series of practice problems on percent of change. Students should first attempt to solve the problems on their own, fostering independence and problem-solving skills. Afterward, they should discuss their approaches and solutions with classmates, which can provide new insights and reinforce learning through teaching. Finally, as a class, we will review the answers and the various methods used to reach them. This will help students see the diversity of problem-solving techniques and understand that there can be more than one way to find a solution. Encourage students to explain their reasoning and be open to learning from each other’s methods.

Class Activity: Percent of Change Scavenger Hunt – Find items with price tags in class – Calculate percent of change for items – Use the formula (New Price – Old Price) / Old Price × 100% – Present your findings to the class – Discuss results with classmates | This interactive class activity is designed to help students apply their knowledge of percent of change to real-world scenarios. Students will search the classroom for items with price tags, simulate price changes, and then calculate the percent of change. They will present their findings to the class, fostering public speaking and critical thinking skills. For the teacher: Prepare items with price tags beforehand, create different scenarios for price changes, and ensure students understand the percent of change formula. Possible scenarios include discounted items, price increases due to demand, or comparing prices from different years. Encourage students to explain their reasoning during presentations and facilitate a discussion afterwards to reflect on the various outcomes and the factors that influence price changes.

Lesson Summary & Homework – Recap: Percent of Change We learned how to calculate percent increase or decrease between two values. – Homework: Word Problems Solve assigned problems that apply today’s lesson on percent of change. – Find Real-Life Percent Changes Look for examples like discounts, population growth, or stock price changes. – Practice Makes Perfect | As we conclude today’s lesson on percent of change, remind students of the key concepts and formulas discussed. For homework, students should complete the assigned word problems that focus on calculating the percent of change. Encourage them to find and bring in real-life examples of percent change, such as sales discounts, changes in their height over the past year, or even fluctuations in social media followers. This will help them see the relevance of what they’ve learned. Emphasize the importance of practice in mastering the concept, and be prepared to provide additional support for students who may need it during the next class.