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Main Curriculum Tie:
Background For Teachers:
Ways to Gain/Maintain Attention (Primacy): stories, graphic organizer, shopping simulation
Lesson Segment 1: Why is a percent ratio based on 100? How can a proportion be used to solve a problem involving percent?
Q. So if 50% means 50 out of every 100, how can we know how many that is out of 36 (or whatever number of students is in the class)?
Do “Vizualizing Percents In Our World” with the students, shading in the appropriate percent as they visualize the fraction of the whole given in each problem.
To help students visualize the percent of a number, give student pairs a Percent Estimator Foldable and Smart Pal with Percent Estimator Practice worksheet. The Percent Estimators come four to a page. Copy them on card stock and slit the 0% line on each bar to allow a slider strip to be moved up and down the fraction and the percent bars. Cut 1 ½ “ strips from a different color card stock to use as slider bars. They should be inserted in the slit on each bar, so there are 2 sliders per Estimator.
Students work together to slide a covered card stock bar on the % side and on the part to total number side to see the ratios. They should also shade the Smart Pal and Practice worksheet for both % and part to total. Using the bar, they should try to determine about what number out of the total number given represents the percent given. After estimating using the Percent Estimator, have the students set up a proportion using part/total = %/100 as the ratios, and have them find the exact number.
Ask students to describe what 150% of a number would look like, 200%, etc.
Q. What if we knew the part to total ratio, but didn’t know what percent that would be. How could we find a percent? Repeat the visualization with the Percent Estimator, worksheet, and Smart Pals. This time have them estimate what the part to total ratio bar would look like and slide the bar up the % side to estimate the percent. Use:
Lesson Segment 2: How can proportions be used to solve percent problems?
Lesson Segment 3: How can proportions be used to solve tax and interest problems?
If you are finding the total cost after tax is being paid, it is helpful for students to consider the part as original price plus tax, the total as original price, and the percent as 100% plus the tax percent. To help with this have students model purchasing something and ask questions such as:
The attached Shopping Spree Worksheet helps students connect to their world. Give groups several sales ads to look through to spend their “$1000” limit.
Lesson Segment 4: How can proportions be used to solve percent increase and decrease problems?
Q. What is the increase or decrease?
The attached “The Bargain Store” worksheet can be used as a role model. Students often mistakenly think taking additional percent off can eventually result in paying nothing. This worksheet investigates the idea of accumulated percent decrease.
Lesson Segment 4: Practice Game
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