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Percent of Change: Finding the Original Amount – Understanding percents – Percents represent parts of a whole, like 25% is 25 out of 100 – Percents in daily life – Used in sales tax, discounts, and statistics – What is percent of change? – Measure of how much a quantity has increased or decreased – Calculating the original amount – Use the formula: original amount = new amount / (1 ± percent change) | This slide introduces students to the concept of percents and their practical applications in everyday life, such as calculating sales tax or determining discounts. The focus is on understanding percent of change, which is a crucial skill for solving word problems involving financial literacy and data interpretation. Students will learn to find the original amount before a percent increase or decrease occurred using a specific formula. Emphasize the importance of identifying whether the change is an increase (add the percent change) or a decrease (subtract the percent change) when using the formula. Provide examples and practice problems to reinforce the concept.

Understanding Percent of Change – Define Percent of Change – The percent a value has increased or decreased from its original amount. – Increase vs. Decrease – Increase means the value went up, decrease means it went down. – Real-life Percent Change – Price adjustments, discounts, or salary changes illustrate percent change. – Calculating Original Amount – Use the formula: Original Amount = New Amount / (1 ± Percent Change) | This slide introduces the concept of Percent of Change, a fundamental topic in understanding how numbers can represent changes in value over time. Begin by defining Percent of Change as a mathematical way to express the extent of increase or decrease from an original value. Clarify the difference between an increase (a positive change) and a decrease (a negative change). Provide real-life examples such as price changes during sales or fluctuations in stock market values to make the concept relatable. Conclude by showing how to reverse-calculate the original amount using the formula provided, ensuring to explain the use of ‘±’ to represent both increase (addition) and decrease (subtraction). Encourage students to think of examples from their daily lives that involve percent changes and to practice calculations with different scenarios.

Calculating Percent of Change – Understand Percent of Change formula – Percent of Change = (Amount of Change / Original Amount) x 100 – Learn to identify Amount of Change – Amount of Change is the difference between the original and new amount – Steps to find the Original Amount – Rearrange formula to find Original Amount: Original Amount = Amount of Change / (Percent of Change / 100) – Practice with word problems – Solve real-life problems to apply these concepts | This slide introduces the concept of Percent of Change, which is a crucial part of understanding how numbers relate to each other in real life, such as in sales, population growth, or test score improvements. Start by explaining the formula and ensure students understand each component. Emphasize that the Amount of Change is the difference between the starting and ending figures. Teach them how to manipulate the formula to solve for the Original Amount, which is a common type of word problem they will encounter. Provide several examples and practice problems where students can apply this knowledge, and encourage them to think of situations where they might use percent of change in their daily lives.

Calculating Percent Increase – Example: Jacket price increase – Original price $50, new price $60 – Determine percent of increase – Find the amount of increase, then divide by original price and multiply by 100 – Step-by-step solution – Increase: $60 – $50 = $10, Percent Increase: ($10 / $50) * 100 = 20% – Significance of percent change – Understanding percent change helps in financial literacy and making informed decisions | This slide introduces students to the concept of percent increase through a relatable example of a jacket price increase. It guides them through the process of calculating the percent of increase by finding the difference between the new and original prices, dividing by the original price, and then converting to a percentage. Emphasize the importance of understanding percent change as it applies to everyday situations such as shopping discounts, price increases, and financial growth. This foundational skill is crucial for developing financial literacy and the ability to analyze changes in various contexts.

Calculating Percent Decrease – Example: Population decrease – Original population was 1,000, decreased to 800. – Calculate percent of decrease – Percent decrease = [(original – new) / original] x 100 – Step-by-step solution – Subtract new from original, divide by original, multiply by 100. – Implications of decrease – Discuss effects on community, resources, and planning. | This slide introduces the concept of percent decrease through a relatable example of population change. Start by presenting the problem: a population decreases from 1,000 to 800. Guide students through the formula for percent decrease and apply it step-by-step to the example. Calculate the decrease (200), divide by the original population (1,000), and then multiply by 100 to find the percent decrease (20%). Discuss real-world implications such as the impact on community resources, economic planning, and social services. Encourage students to think critically about how such changes can affect their own lives and surroundings.

Percent of Change: Practice Problems – Class problem: Calculate original price – If a jacket is now $70 after a 30% discount, what was the original price? – Pair work: Find initial quantity – Two friends share a pizza that’s 25% eaten. How many slices were there at first? – Solo task: Determine starting value – A plant grows 15% taller and is now 23 inches. How tall was it before? | This slide is designed to engage students with practical application of percent of change concepts. Start with a class-wide problem to solve together, ensuring understanding of the process. Then, have students pair up to tackle a new problem, promoting collaboration and peer learning. Finally, challenge students individually to solidify their grasp of the concept. For the teacher: be ready to guide the class through the first problem, facilitate pair discussions, and provide support during the individual challenge. Possible activities include using manipulatives to represent the problems, creating a step-by-step guide for solving percent of change problems, and encouraging students to explain their reasoning to the class.

Class Activity: Price Tag Frenzy – Understand percent of change – Calculate original prices – Use the formula: original price = new price / (1 ± percent change) – Team collaboration – Earn points through problem-solving | This interactive game, ‘Price Tag Frenzy’, is designed to help students apply their knowledge of percent change to find the original price of items. Students will work in teams, fostering collaboration and communication skills. Each team will be given a set of word problems where they must calculate the original price of an item after a percent increase or decrease. The formula for finding the original price is: original price = new price / (1 ± percent change), where ‘+’ is used for a percent increase and ‘ ‘ for a decrease. Points will be awarded for correct answers, and the team with the most points at the end of the activity wins. Possible variations of the activity could include timed rounds, bonus challenges, or a ‘steal’ option where teams can answer questions missed by other teams for extra points.

Wrapping Up: Percent of Change – Recap: Percent of Change concepts – Practice makes perfect – Homework: 5 word problems – Solve problems to find the original amount before the percent change. – Share solutions next class – Be prepared to discuss methods and answers. | As we conclude today’s lesson on Percent of Change, it’s crucial to emphasize the importance of practice in mastering this concept. The homework assignment consists of five word problems that require students to apply what they’ve learned to find the original amount before a percentage increase or decrease. This will help solidify their understanding and prepare them for more complex problems. Encourage students to attempt the problems independently but remind them that collaboration is also key to learning. In the next class, we’ll review the homework solutions together, allowing students to share their problem-solving strategies and learn from each other.