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12-8 6 th grade math. Using Circle Graphs. Objective. To use circle graphs to solve problems Why? To know how to read a type of graph often used in newspapers and magazines. California State Standards.
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12-86th grade math Using Circle Graphs
Objective • To use circle graphs to solve problems • Why? To know how to read a type of graph often used in newspapers and magazines.
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.
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.
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
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
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
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.
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.