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HOW are percent diagrams used to solve real-world problems?

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Presentation on theme: "HOW are percent diagrams used to solve real-world problems?"— Presentation transcript:

1 HOW are percent diagrams used to solve real-world problems?
Ratios and Proportional Relationships HOW are percent diagrams used to solve real-world problems? Course 2, Inquiry Lab before Lesson 2-1

2 Mathematical Practices
Ratios and Proportional Relationships 7.RP.3 Use proportional relationship to solve multistep ratio and percent problems. 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. Course 2, Inquiry Lab before Lesson Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

3 Ratios and Proportional Relationships
One fourth of the students in Mrs. Singh’s music class chose a guitar as their favorite musical instrument. There are 24 students in Mrs. Singh’s music class. How many students chose a guitar as their favorite musical instrument? The bar diagram represents 100% of the class. Shade the bar diagram to show that or % of the class chose guitar as their favorite instrument. 100% %-- Activity 1 Continued Course 2, Inquiry Lab before Lesson 2-1

4 ----------------------- 24 students -----------------------
Ratios and Proportional Relationships One fourth of the students in Mrs. Singh’s music class chose a guitar as their favorite musical instrument. There are 24 students in Mrs. Singh’s music class. How many students chose a guitar as their favorite musical instrument? There are students in Mrs. Singh’s music class. Divide the number of students equally into 4 sections. Fill in the number in each section. students 100% %--- So, students chose guitar as their favorite musical instrument. Activity 1 Continued Course 2, Inquiry Lab before Lesson 2-1

5 Supply the missing information for the second bar.
Ratios and Proportional Relationships There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Supply the missing information for the second bar. percent 100% students total students Activity 2 Continued Course 2, Inquiry Lab before Lesson 2-1

6 Ratios and Proportional Relationships
There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Divide each bar into ten equal parts. Write 10% in each section of the first bar. percent 10% 100% students total students Activity 2 Continued Course 2, Inquiry Lab before Lesson 2-1

7 Ratios and Proportional Relationships
There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Determine what number to write in each section of the second bar. Fill in that number. percent 10% 100% students total students Activity 2 Continued Course 2, Inquiry Lab before Lesson 2-1

8 Shade 60% of the first bar and an equal amount on the second bar.
Ratios and Proportional Relationships There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Shade 60% of the first bar and an equal amount on the second bar. percent 10% 100% students students Since % corresponds to 6 sections, count the number of students in 6 sections. There are seventh-grade students who play a musical instrument. Course 2, Inquiry Lab before Lesson 2-1

9 HOW are percent diagrams used to solve real-world problems?
Ratios and Proportional Relationships HOW are percent diagrams used to solve real-world problems? Course 2, Inquiry Lab before Lesson 2-1

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