Lesson 5: Percent of Change
January 26, 2021 - lesson recording.
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The "decimal" is in parenthesis, because sometimes you can convert this fraction directly into a percentage (such as if it happens to be 1/4 or 1/5 or some other easy fraction). But in most cases, you'd use a calculator and divide to get a decimal, then write the decimal as a percentage.
Example. Joe weighed 90 kg in March and 85 kg a month later. What percentage of his weight did he lose?
The original weight is 90 kg and the change (the difference) is 5 kg. We get the fraction 5 kg/90 kg. In it, the units "kg" cancel out and we're left with
Joe lost 5.56% of his weight.
Teachers - feel free to use these problems as lesson plans!
Percent – free lesson
How to calculate percentages – free lesson
How to calculate percentages of numbers – free lesson
Percentage of a number using mental math – free lesson
Percent Change
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Percent of Change Lesson Plan
Get the lesson materials.
Percent of Change Guided Notes with Doodles | Percent Proportions Worksheets
Ever wondered how to teach percent increase and decrease in an engaging way to your seventh grade students?
In this lesson plan, students will learn about percent of change and its real-life applications. Through artistic, interactive guided notes, check for understanding, a doodle & color by number activity, and a maze worksheet, students will gain a comprehensive understanding of calculating percent change using the percent change formula as well as using proportions.
The lesson culminates with a real-life example that explores how percent of change can be used to solve word problems in practical situations. Students will read and write about real-life uses of percent change, further solidifying their understanding of the concept.
- Standard : CCSS 7.RP.A.3
- Topic : Percents
- Grade : 7th Grade
- Type : Lesson Plans
Learning Objectives
After this lesson, students will be able to:
Calculate percent increase and decrease using the percent change formula
Solve for percent change using proportions
Apply the concept of percent change to real-life situations and word problems
Prerequisites
Before this lesson, students should be familiar with:
Basic understanding of fractions, decimals, and percents
Knowledge of basic operations of integers (addition, subtraction, multiplication, and division)
Understanding of how to substitute to solve an equation
Colored pencils or markers
Guided notes
Key Vocabulary
Percent increase
Percent decrease
Percent change
Proportions
Introduction
As a hook, ask students why understanding percent increase and decrease is important in real life situations. Refer to the last page of the guided notes for a detailed example as well as the FAQs below for ideas.
Use the first page of the guided notes to introduce the concept of percent change and how to calculate it using the percent change formula. Walk through the key points of the topic, including the steps to calculate percent change using the formula and the meaning of positive and negative percent change. Also introduce how you can set up proportions instead of using the percent change formula.
Based on student responses, reteach any concepts that students need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.
Have students practice calculating percent change using the Percent Change Formula and Percent Proportions using the practice worksheet (page 2 of guided notes) provided in the resource. Walk around the classroom to answer any student questions and provide support as needed.
Fast finishers can dive into the maze activity (page 3) or color by number activity (page 4) included in the resource. You can also assign it as homework for the remainder of the class.
Real-Life Application
Bring the class back together, and introduce the concept of real-life applications of percent change. Explain to the students that percent change is a mathematical concept that is used in various real-world scenarios.
One example of a real-life application of percent change is in the field of finance and investments. Explain that when people invest their money in stocks or other financial instruments, the value of their investments can increase or decrease over time. This change in value can be measured using percent change. For example, if someone invests $1,000 and their investment grows to $1,200, the percent change would be (1200 - 1000) / 1000 = 0.2 or 20%. This means that their investment has grown by 20%.
Another example of a real-life application is in the context of sales and discounts. Explain that when stores offer discounts on their products, they often advertise the percent decrease in price. This helps consumers understand how much they can save on a purchase. For example, if a pair of shoes is originally priced at $100 and is on sale for 20% off, the new price would be $100 - (20% * $100) = $80. This means that the price of the shoes has decreased by 20%.
Ask for student volunteers to share any other real-life scenarios where percent change might be used. Encourage discussion and provide feedback on their ideas. Refer to the FAQ section in the teaching resource for more ideas and examples on how to teach the real-life application of percent change.
Additional Self-Checking Digital Practice
If you’re looking for digital practice for percent of change, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here are 2 activities to explore:
Percent of Change Digital Pixel Art | Percent Increase & Decrease Google Sheets
Percents & Money Pixel Art Unit BUNDLE
Additional Print Practice
A fun, no-prep way to practice percent of change is Doodle Math — they’re a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
Here is an activity to try:
Percent Change | Doodle Math: Twist on Color by Number | Increase Decrease
Real-Life Math Project
A fun way to wrap this lesson with your students is with one of my real-life math projects. They enable students to see the application of math in an engaging activity where they play the role of an airline intern, using percentage to solve real world problems.
[Free!] Airline Intern: Percentage Application
What is percent of change? Open
Percent of change is a way to express the amount of increase or decrease in a quantity as a percentage of the original amount.
How do you calculate percent of change? Open
To calculate percent of change, use the following formula:
Subtract the original value from the new value.
Divide the difference by the original value.
Multiply the result by 100 to get the percentage.
What are percent proportions? Open
Percent proportions are ratios that compare the part to the whole, expressed as a percentage.
What is the difference between percent increase and percent decrease? Open
Percent increase refers to the amount that a quantity has grown or expanded in comparison to its original value, expressed as a percentage. Percent decrease, on the other hand, refers to the amount that a quantity has decreased or reduced in comparison to its original value, also expressed as a percentage.
How can I determine whether there is a percent increase or percent decrease? Open
To determine whether there is a percent increase or percent decrease, compare the new value to the original value:
If the new value is greater than the original value, there is a percent increase.
If the new value is less than the original value, there is a percent decrease.
How can I apply percent of change in real-life situations? Open
Percent of change can be applied in various real-life situations, such as:
Calculating sales discounts or price increases
Analyzing population growth or decline
Determining inflation rates
Examining changes in test scores or grades over time
Assessing changes in stock prices or investments over time
Want more ideas and freebies?
Get my free resource library with digital & print activities—plus tips over email.
Chapter 5, Lesson 8: Percent of Change
- Extra Examples
- Group Activity Cards
- Personal Tutor
- Self-Check Quizzes
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Chapter 5, Lesson 8: Percent of Change
- Extra Examples
- Group Activity Cards
- Personal Tutor
- Self-Check Quizzes
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Lesson 5 Problem-Solving Practice Percent of Change 1. SHOES A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the percent of increase in the price? 2. CLUBS Last year the backgammon club had 30 members. This year the club has 24 members. Find the percent of decrease in the ...
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In this lesson you will learn how to find percent of change between two numbers. (old and new)
Study with Quizlet and memorize flashcards containing terms like Find the percent of change: 15 yards to 18 yards, Find the percent of change: 100 acres to 140 acres, Find the percent of change: $15.60 to $11.70 and more.
You could go ahead and set this equal to x/100 if you want to use a proportion to solve it. A different way to change it to a percent is to convert the fraction to a decimal first and then change it to a percent. To change 36/450 to a decimal, you simply divide 36 by 450 on a calculator. This gives you the decimal .08.
A positive percent change would thus be an increase, while a negative change would be a decrease. Let's solve the following percent of change problems: A school of 500 students is expecting a 20% increase in students next year. How many students will the school have? Using the percent of change equation, translate the situation into an equation.
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Problem-Solving Strategy Updates Scavenger Hunt Recording Sheet ... Data Updates Problem of the Week Cards TAKS Test Practice Lesson Resources Extra Examples Parent and Student Study Guide Self-Check Quizzes. ... First Edition Chapter 5, Lesson 5: Percent of Change. Extra Examples; Parent and Student Study Guide; Self-Check Quizzes; Log In. The ...
So, in the case of percent of change, the generic formula part / total becomes. DIFFERENCE. ORIGINAL. (= decimal) = percentage. The "decimal" is in parenthesis, because sometimes you can convert this fraction directly into a percentage (such as if it happens to be 1/4 or 1/5 or some other easy fraction).
Problem solving - use your acquired knowledge to solve practice problems involving percent of change calculations ... review the accompanying lesson called Percent of Change: Definition, Formula ...
Percent changes are often seen in word problems and are useful in many real world situations, for example when shopping sales or when calculating a tip. A percent change is a way to describe how much a quantity increases or decreases. For example, when you buy an item with tax, the tax is the percent change from the original price to what you paid.
This change in value can be measured using percent change. For example, if someone invests $1,000 and their investment grows to $1,200, the percent change would be (1200 - 1000) / 1000 = 0.2 or 20%. This means that their investment has grown by 20%. Another example of a real-life application is in the context of sales and discounts.
Percent of change is Examples. Finding Percent of Increase Ten years ago, Max's comic book was worth $2.50. Now it is worth $13. Find the percent of increase in value. amount of change P d amount of change d original amount 10.50 2.50 d Use a calculator to divide. % d Write the decimal as a percent. The percent of increase in value is . Check ...
Lesson 4: Percentage word problems. Percent word problem: penguins. Percent word problems. Percent word problem: magic club. Percentage change word problems. Math > Class 7 (Old) > Comparing quantities > ... Percentage change word problems. Google Classroom. You might need: Calculator. Problem.
Lesson Plan: Percentage Change Mathematics • 7th Grade Start Practising. This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to apply percentage change and work out the percentage increase or decrease. ... solve word problems where a percentage change is included in the context ...
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Join me as I show you how to find a percent of change when increasing or decreasing. My name is Lauren Casias. I am an 8th grade math teacher from Texas. Tha...
Practice Solving Problems Involving Percent Change LESSON 21 | SESSION 2 Fluency & Skills Practice Solving Problems Involving Percent Change In this activity, students are given the 4original amount and end amount and are asked to find the percent increase or percent decrease. ©Curriculum Associates, LLC Copying is not permitted.
California Standards Practice (STP) Vocabulary Review Lesson Resources Extra Examples Group Activity Cards ... Multilingual Glossary Online Calculators Study to Go. Mathematics. Home > Chapter 5 > Lesson 8. California Mathematics: Concepts, Skills, and Problem Solving, Grade 7. Chapter 5, Lesson 8: Percent of Change. Extra Examples; Group ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards Personal Tutor ... Visual Vocabulary Cards Online Calculators Study to Go. Mathematics. Home > Chapter 5 > Lesson 8. Indiana Math Connects: Concepts, Skills, and Problem Solving, Course 3. Chapter 5, Lesson 8: Percent of Change. Extra Examples ...