Curriculum / Math / 6th Grade / Unit 2: Unit Rates and Percent / Lesson 12
Math
Unit 2
6th Grade
Lesson 12 of 14
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Find the whole quantity, given a part and percent.
The core standards covered in this lesson
6.RP.A.3.C — Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Two similar situations are shown below. How are they similar and how are they different?
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The Alden Middle School has a girls’ soccer team and a boys’ soccer team.
How many games did each soccer team play this season?
Grade 6 Mathematics > Module 1 > Topic D > Lesson 26 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
You’ve poured 84 gallons of water from a hose into a small pool. The pool is 35% filled with water. How many gallons of water can the pool hold if it is completely filled?
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5-10 minutes
Dan uses a coupon at CVS that saves him 20%. On his receipt, he sees that he saved $3. How much was his bill before he used the coupon? Show your work using a strategy of your choice.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
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Solve percent problems, including finding percent when given a part and a whole.
Topic A: Defining Rate & Solving Rate Problems
Investigate and use rate in real-world situations.
Standards
6.RP.A.36.RP.A.3.B
Define rate and unit rate, and find rates from situations involving ratios.
6.RP.A.26.RP.A.3.B
Find unit rates and use them to solve problems.
Compare situations using unit rates, including speed, price, and work problems.
6.RP.A.3.B
Solve challenging problems involving unit rate.
6.RP.A.26.RP.A.36.RP.A.3.B
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Topic B: Measurement Unit Conversions
Reason with measurement units and solve unit conversion problems using different strategies.
6.RP.A.3.D
Solve measurement unit conversion problems.
Topic C: Percent
Define percent as a rate per 100. Find percentages of 100 and 1.
6.RP.A.3.C
Solve percent problems using benchmark fractions and percentages, with and without written work.
Convert between fractions, percent, and decimals.
Find a percent of a quantity.
Solve multi-step problems involving rate and percent.
6.RP.A.26.RP.A.36.RP.A.3.C6.RP.A.3.D
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