Math
Unit 1
6th Grade
Lesson 15 of 18
Solve part:part ratio problems using tape diagrams.
25-30 minutes
Shanni and Mel are using ribbon to decorate a project in their art class. The ratio of the length of Shanni’s ribbon to the length of Mel’s ribbon is 7:3.
a. Name two possible lengths of Shanni’s and Mel’s ribbons.
b. Draw a tape diagram to represent the ratio of ribbon length.
c. If each block in the tape diagram represented 1 inch, what are the lengths of the ribbons?
d. What if each block in the tape diagram represented 2 yards, what are the lengths of the ribbons?
e. Could Shanni’s ribbon be 21 inches and Mel’s ribbon be 9 yards? Why or why not?
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Grade 6 Mathematics > Module 1 > Topic A > Lesson 3 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..
Modified by Fishtank Learning, Inc.Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.
a. If Mason ran 4 miles, how far did Laney run?
b. If Laney ran 930 meters, how far did Mason run?
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Grade 6 Mathematics > Module 1 > Topic A > Lesson 3 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..
Modified by Fishtank Learning, Inc.15-20 minutes
5-10 minutes
Your school's office manager surveyed the entire sixth grade to find out what transportation students use to get to school. She determined that the ratio of students who took the bus to students who walked to school to students who got a ride was 5:3:2.
If 27 students walked to school, how many students are in the sixth grade? Draw a tape diagram and use it to show your answer.
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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.
Next
Solve part:whole ratio problems using tape diagrams.
Topic A: Understanding & Describing Ratios
Topic B: Equivalent Ratios
Topic C: Representing Ratios in Tables
Topic D: Solving Part:Part:Whole Ratio Problems
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