Curriculum / Math / 6th Grade / Unit 2: Unit Rates and Percent / Lesson 11
Math
Unit 2
6th Grade
Lesson 11 of 14
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Find a percent of a quantity.
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.
The foundational standards covered in this lesson
4.NF.C.6 — Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
5.NF.B.5 — Interpret multiplication as scaling (resizing), by:
5.NF.B.5.A — Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
5.NF.B.5.B — Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.
5.NF.B.6 — Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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On a sixth-grade math test, there are 32 questions. Multiple-choice questions make up 25% of the test. How many questions on the test are multiple choice?
Show at least two different strategies you can use to solve this problem.
There are 150 students in the sixth grade, and 22% of students have an older sibling. How many students in the sixth grade have an older sibling?
Nicky bought a hardcover book for $24. She went to an event where the author signed her book. The book is now worth 175% of its original value. How much is the signed copy of the book worth?
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In a bag of 80 Skittles, 35% of the candies are orange. How many orange Skittles are in the bag?
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Lesson 10
Lesson 12
Topic A: Defining Rate & Solving Rate Problems
Investigate and use rate in real-world situations.
6.RP.A.3 6.RP.A.3.B
Define rate and unit rate, and find rates from situations involving ratios.
6.RP.A.2 6.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.2 6.RP.A.3 6.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 the whole quantity, given a part and percent.
Solve percent problems, including finding percent when given a part and a whole.
Solve multi-step problems involving rate and percent.
6.RP.A.2 6.RP.A.3 6.RP.A.3.C 6.RP.A.3.D
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