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Ratio and Convert Measurement Units (Grade 6)




 

Videos and lessons to help Grade 6 students learn to use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

A. Make tables of equivalent ratios relating quantities with whole- number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios

B. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

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.

D. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Common Core: 6.RP.3d

Suggested Learning Targets

  • I can apply ratio reasoning to convert measurement units in real-world and mathematical problems.
  • I can apply ratio reasoning to convert measurement units by multiplying or dividing in real-world and mathematical problems.
  • I can solve real-world and mathematical problems involving ratio and rate, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Related Topics:
Common Core for Grade 6

More Lessons for Grade 6

Component Skills from Previous Grades

6.RP.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6.RP.2
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.
6.RP.3a
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
6.RP.3b
Solve unit rate problems including those involving unit pricing and constant speed.


Convert measurement units
In this lesson you will learn to convert measurement units by using ratio tables.





Using Ratios to Convert Measurement Units.


Ratios - Measurement
How to use ratio tables for changing measurements.



 

Measurement- using ratios to convert.


Convert between meters and feet using ratios
Strategy:
1) Understand the ratio relationship between units of measurement
2) Use the per unit ratio to convert between the units.




Convert between kilometers and miles using ratios.


Convert between gallons and liters using ratios.



 

Measurement Conversion
Conversion between units using ratios.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.





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