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Understanding Percent of Change – What are percents? – A percent represents a part of a whole divided into 100 equal parts. – Percents in daily life – Used in sales tax, discounts, interest rates, and more. – Exploring percent of change – Percent of change shows increase or decrease over time. – Real-world applications – Calculate tips, sales, and stock price changes. | This slide introduces students to the concept of percents and their practical applications in everyday life. Begin by explaining what a percent is and how it is represented. Discuss how percents are commonly used in various scenarios such as calculating sales tax, determining discounts, and understanding interest rates. Focus on the concept of percent of change, which is a measure of how much a quantity has increased or decreased, expressed as a percent. Provide examples such as calculating the tip at a restaurant, figuring out the final price during a sale, or observing stock price changes. Encourage students to think of other examples where they encounter percents. The goal is to help students see the relevance of percents in their daily lives and to prepare them for solving word problems involving percent of change.

Understanding Percent of Change – Define Percent of Change The ratio of the amount of change to the original amount, expressed as a percentage. – Explore the formula Percent of Change = ((New Value – Original Value) / Original Value) × 100% – Examples: Price Increase If a $50 shirt now costs $65, what’s the percent increase? – Examples: Score Decrease If a student scored 90 on a test and then 81, what’s the percent decrease? | This slide introduces the concept of Percent of Change, a fundamental concept in understanding how values increase or decrease in terms of percentage. Start by defining Percent of Change and then move on to the formula, which is the cornerstone of calculating these changes. Provide clear examples to illustrate both an increase and a decrease in percent. For instance, use a relatable example such as the price of a shirt going up or a student’s test score going down. Encourage students to practice with real-life scenarios to grasp the concept better. Make sure to explain that the result can be positive (increase) or negative (decrease) and that understanding this concept is crucial for financial literacy and data interpretation in various real-world situations.

Calculating Percent Increase – Identify original and new value – Apply percent of change formula Percent Change = ((New Value – Original Value) / Original Value) * 100 – Example: Item price $50 to $75 Original: $50, New: $75, Percent Change = ((75 – 50) / 50) * 100 = 50% – Discuss the percent increase | This slide focuses on teaching students how to calculate the percent increase of an item’s price as a practical application of percent change. Start by identifying the original value and the new, increased value. Then, apply the percent of change formula: Percent Change = ((New Value – Original Value) / Original Value) * 100. Use the example of an item’s price increasing from $50 to $75 to illustrate the concept. Calculate the percent change together with the class, and discuss how this skill can be applied in real-life scenarios, such as shopping discounts or interest rates. Encourage students to practice with additional word problems to reinforce the concept.

Calculating Percent Decrease – Identify original & new value – Apply percent of change formula Percent Change = ((Original – New) / Original) * 100% – Example: Weight loss from 160 to 140lbs Original weight was 160lbs, new weight is 140lbs. – Calculate the percent decrease What is the percent decrease in weight? | This slide focuses on teaching students how to calculate the percent decrease in various scenarios. Start by identifying the original value and the new, lower value. Then, apply the percent of change formula: Percent Change = ((Original Value – New Value) / Original Value) * 100%. Use the example of a person’s weight decreasing from 160lbs to 140lbs to illustrate this concept. Have students calculate the percent decrease, which in this case is ((160 – 140) / 160) * 100% = 12.5%. This practical example helps students understand the concept of percent decrease in a relatable context. Encourage students to practice with additional word problems to reinforce the concept.

Percent of Change: Word Problems – Approach to percent change problems – Step-by-step problem breakdown – Identify the original and new value. What s the difference? – Calculate percent of sales increase – Original sales: $1,000, New sales: $1,500. Increase: $500 – Practice with real-life scenarios – Use the formula: Percent Change = (Amount of Change / Original Amount) x 100% | When tackling percent of change word problems, it’s crucial to understand the formula and how to apply it to real-life scenarios. Start by identifying the original amount and the new amount. Then, find the difference between these two values to determine the amount of change. For the practice problem, the original sales were $1,000, and they increased to $1,500, which is a $500 increase. To find the percent of increase, divide the amount of change ($500) by the original amount ($1,000) and multiply by 100 to get the percentage. This slide will help students visualize the process and apply it to various situations, reinforcing their understanding of percent of change.

Practice Makes Perfect: Percent of Change – Work through word problems – Discuss solving strategies – How to calculate percent increase or decrease – Group activity in pairs – Solve given problems, help each other – Share solutions with class – Explain your reasoning and answer | This slide is designed to engage students in active practice of percent of change word problems. Start by working through a few problems as a class to demonstrate common strategies such as identifying the original amount, the new amount, and whether it’s an increase or decrease. Emphasize the formula for percent of change: (New Amount – Original Amount) / Original Amount x 100%. Break the class into pairs to solve a set of problems, encouraging collaboration and peer teaching. Conclude with pairs sharing their solutions and thought processes with the class, fostering a collaborative learning environment. Provide guidance and support as needed, and ensure that each pair understands the steps involved in solving these types of problems.

Class Activity: Percent of Change Challenge – Calculate percent of change – Present findings to the class – Reflect on strategies used – Did you estimate, use a formula, or another method? – Share insights with peers – Discuss what worked well and what could be improved | Divide the class into small groups and assign each group a different word problem involving percent of change. Problems can range from simple price discounts to more complex real-world scenarios like population growth. Each group will calculate the percent of change and prepare a short presentation to explain their problem and solution to the class. After presentations, lead a discussion on the various strategies used by the groups. Encourage students to reflect on the effectiveness of their methods and to learn from each other’s approaches. Possible activities: 1) Comparing price changes of different items, 2) Calculating the percent increase in a person’s salary after a raise, 3) Determining the percent decrease in the time taken to complete a task after practice, 4) Analyzing the percent change in the number of a certain animal species over a decade, 5) Evaluating the percent change in attendance at school events from one year to the next.

Wrapping Up: Percent of Change – Recap percent of change concepts – Relevance to real-life scenarios – Useful for financial literacy, shopping discounts, and population growth – Homework: Worksheet completion – Practice problems to solidify understanding – Be prepared to discuss solutions | As we conclude today’s lesson, it’s important to review the key concepts of percent of change, ensuring students can calculate both increase and decrease in various contexts. Emphasize the practical applications of this concept in everyday life, such as understanding sales discounts, interest rates, and changes in quantities. For homework, students are assigned a worksheet that includes a variety of word problems to reinforce their skills. Encourage them to attempt all problems and be ready to discuss their approaches and solutions in the next class. This practice will help them gain confidence in solving percent of change problems independently.