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Mastering Circle Graphs: Understanding and Solving Problems with Pie Charts

This lesson focuses on using circle graphs, also known as pie charts, to solve real-world problems. Learners will discover how to read and interpret data presented in this format, commonly found in newspapers and magazines. By understanding the relationship between whole and parts, students will learn how to calculate percentages, draw angles using protractors, and apply mathematical reasoning to break down complex problems into simpler parts. Engaging practice problems and examples will reinforce the concepts learned.

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Mastering Circle Graphs: Understanding and Solving Problems with Pie Charts

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  1. 12-86th grade math Using Circle Graphs

  2. Objective • To use circle graphs to solve problems • Why? To know how to read a type of graph often used in newspapers and magazines.

  3. California State Standards MR 2.4: Use a variety of methods, such as … graphs, … to explain mathematical reasoning. AF 1.1 : Write and solve one-step linear equations in one variable. MR 1.3: Determine when and how to break a problem into simpler parts. MR 2.2: Apply strategies and results from simpler problems to more complex problems MR 2.5: Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

  4. A circle graph show how a whole is broken into parts. It is often referred to as a pie chart since it looks like a pie cut into pie-shaped pieces, or wedges. The parts of a circle graph are usually shown as percents. The entire circle graph represents 100% of the whole. To construct a circle graph, find percents of 360° and use a protractor to draw angles for each wedge.

  5. Working with Circle Graphs 1) To determine the amount represented by a particular part of the graph, multiply the total amount by the percent shown in that part. 2) Change the % to a decimal and carefully multiply. 3) Check your work The total cost of a trip = $50. 30% is allocated for transportation costs. How much actual $ is allocated for transportation? 50 x .30 = $15.00 for transportation

  6. Total cost = $1050 from 25 students 40% 30% 15% 15% How much does it cost a person if they don’t go to the show? A) 25 x C = 1050 C = 1050÷25 C = $42 per student B) 42 x 15% = 42 x 0.15 = $6.30 cost of show C) 42 – 6.30 = $37.50 for trip w/o show

  7. Try It! 40% 30% 15% 15% How much is the cost for transportation for one student? 30% x $42 = .3 x 42 = $12.60 1) w/o lunch or show, total cost for one student? 15% x $42 = .15 x 42 = $6.3 = 42 – (6.3 + 6.3) = $29.40 2) Cost of 1 admission ticket? 40% x $42 = 0.4 x 42 = $16.80

  8. Objective Review • To use circle graphs to solve problems • Why? You now know how to read a type of graph often used in newspapers and magazines. • When solving problems involving circle graphs, you often have to read the percent from the graph, an find the percent of that number that represents the whole.

  9. Independent Practice • Complete problems 6-10 • Copy original problem first. • Show all work! • If time, complete Mixed Review: 12-18 • If still more time, work on Accelerated Math.

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