Measurement Conversion
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MEASUREMENT AND CONVERSION TABLE U. CUSTOMARY SYSTEM 1 yd = 3 ft 3 tsp = 1 Tbs 1 ft = 12 in 16 Tbs 1 cup 1 fathom = 6 ft 1 cup = 8 oz (liquid capacity). Any length unit can also be combined with a time unit to define a speed unit, such as 'light-years per day.' Color Picker You can use Color Picker to choose a color or convert from one color code to another.
. Show Remarks/Examples. 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. 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. 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?. 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. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. Understand the concept of Pi as the ratio of the circumference of a circle to its diameter. Incorrectly converts eight mile laps into an equivalent number of miles.
Makes a drawing to find the number of miles in 8 laps but is unable to show mathematical work or explain the answer. Questions Eliciting Thinking What are you trying to find? Do you know laps, miles, or feet? How can you convert between those different units?
How can you use your picture to help you write a math problem to convert laps to miles? Can you build a ratio table to show the relationship between the units? What does of a pizza look like? How much would eight pieces of pizza be all together? What does a lap mean? How long is the lap? If he had run only 2 laps, how far would he have gone?
If he ran 4 laps, how far did he run? How many laps does it take to make 1 mile?
How many miles equal 8 laps? Instructional Implications Model completing each conversion. Use a triple number line to represent the relationship between number of laps, miles, and feet. Assist the student in using the number line diagram to determine how many feet Roger ran when running 8 laps. Have the student extend the diagram to 3 miles and then use it to create a table that contains corresponding numbers of laps and miles.
Encourage the student to think multiplicatively about the relationship among values in the table, e.g., the number of laps is always four times the number of miles. Point out that associated values in ratio tables are related by a constant ratio and define this ratio as the constant of proportionality.
Have the student use the constant of proportionality to extend the table to 10 miles and then determine how many more laps Roger will need to run in order to run 10 miles. Guide the student to select the appropriate conversion factor to convert 15,840 yards to miles. Assist the student in creating a double number line diagram or table to complete the conversion. Guide the student to use ratio reasoning to complete measurement conversions. Model a variety of strategies for solving conversion problems and encourage the student to use ratio tables, tape diagrams, and double number lines to assist in making sense of the relationships among quantities.
Provide additional opportunities to solve conversion problems. Moving Forward Misconception/Error The student shows evidence of ratio reasoning but makes errors when converting measurement units.
Examples of Student Work at this Level The student:. Finds the number of “miles more” rather than number of “laps more.”. Questions Eliciting Thinking What units is the question asking for? What units did you change to?
Can you try this problem again? Why did you use this conversion factor? What units do you know and what do you need? Do you see a conversion ratio that relates the units you have to the units you're trying to find? How did you decide whether to multiply or divide by the conversion factor? Does your answer make sense?
Instructional Implications Guide the student to think about conversions in terms of equivalent ratios and their multiplicative relationship. Model a variety of strategies for solving conversion problems. Encourage the student to use ratio tables, tape diagrams, and double number lines to understand the relationship among units.
For example, create a table that contains one of the conversion factors, e.g., 1 mile = 5280 feet, and have the student extend the table to include entries for 2 – 6 miles. Explain that the conversion factor reflects the constant of proportionality. Guide the student to use the constant of proportionality to calculate values for the table. Provide feedback regarding any errors made and allow the student to revise the work. Provide additional opportunities to solve conversion problems.
Almost There Misconception/Error The student’s work contains a minor error or omission. Examples of Student Work at this Level The student:. Makes a calculation error. Questions Eliciting Thinking Can you read the question again? What units do you want? Is that what you found? Do you want total miles or laps?
How many miles has he run so far on Monday? How many miles does he have left? How many laps will that total? Can you explain how you found your answer? Can you show work to support what you did?
Instructional Implications Provide feedback concerning the error made and allow the student to revise the work. Show the student examples of appropriately written work of other classmates. Provide more opportunities for the student to solve conversion problems and encourage the student to show work appropriately. Consider using other MFAS 6.RP.1.3 tasks to give the student more experience with proportional reasoning and percent.
Got It Misconception/Error The student provides complete and correct responses to all components of the task. Examples of Student Work at this Level The student:. Converts eight mile laps to 2 miles and converts 2 miles to 10,560 feet.
Measurement Conversion Cooking
Determines that Roger will need to complete 8 more miles, which is equivalent to 32 more laps in order to complete 10 miles by the end of the week. Converts 15,840 yards to 9 miles. The student may multiply or divide by conversion factors or may set up a proportion to solve each problem.
An easy way to convert in the metric system: King Henry Died By Drinking Chocolate Milk. This mnemonic device will help you easily move the decimal place to convert metric measurements. Check out these other conversion videos on my channel.
Please share, like and subscribe! More Metric Conversion Practice King Henry Conversions Part 2 Metric Unit Conversions Using Dimensional Analysis Part 1 Metric Unit Conversions Using Dimensional Analysis Part 2 Check out my other channel Vintage Wood Workshop.