Converting Customary and Metric Measures
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1 Converting Customary and Metric Measures Length 1 inch = 2.54 cm 1 cm = 0.39 inch 1 foot = 0.31 meters 1 m = 3.23 feet 1 yard = 0.91 meters 1 m = 1.1 yd 1 mile = 1.61 kilometers 1 km = 0.62 mi Weight or Mass 1 ounce = 28.4 grams 1 gm = oz 1 pound = 0.45 kg 1 kg = 2.22 lb Liquid Capacity 1 fluid ounce = 29.6 ml 1 ml =0.034 fl oz 1 quart = 0.95 liters 1 L = 1.05 qt 1 gallon = 3.8 liters 1 L = 0.26 gal (ml = milliliters) TEKSING TOWARD STAAR 2014 Page 1
2 Student Activity 1 Work with your partner to answer the following questions. A calculator can be used on this activity for Problems 4 and 5. Problem 1: Draw a bar diagram to convert 4 feet to meters. Problem 2: A rectangle has dimensions 7 inches and 10 inches. What is the perimeter of the rectangle in centimeters? Using the unit rate method, the unit rate that can be used is To find the perimeter in inches, use the formula P =. Convert the perimeter, inches, to centimeters by multiplying in. by. The result is centimeters. Problem 3: A can of green beans contains 15 ounces. How many grams does the can contain? Using a proportion to convert, the proportion will be : 1 oz 28.4 g The on each ratio will out. The resulting proportion will be : Using the Product of Means Property, the resulting equation will be. 15 ounces = grams. The can of green beans will contain grams. TEKSING TOWARD STAAR 2014 Page 2
3 Problem 4: A square has a side length of 1.5 yards. What is the area of the square in square yards and in square meters? Decide if you want to convert the side length to meters first, or if you want to find the area first and convert the square yards to square meters. Show your work to find the area in square meters. Problem 5: A rectangular prism has dimensions of 6 feet, 7 feet, and 8 feet. What is the volume of the prism in cubic feet and cubic meters? Decide if you want to convert the dimensions to meters first, or if you want to find the volume first and convert the cubic feet to cubic meters. Show your work to find the volume in cubic meters. Problem 6: A rectangle has an area of 20 square inches. The length is 5 inches. Determine the dimension of the rectangle in centimeters. Show your work for the conversions. TEKSING TOWARD STAAR 2014 Page 3
4 Student Activity 2 Work with your partner to answer the following questions. A calculator can be used on this activity for Problems 4 and 5. Problem 1: Draw a bar diagram to convert 8 meters to feet. Problem 2: A rectangle has dimensions of 6 centimeters and 8 centimeters. What is the perimeter of the rectangle in inches? Using the unit rate method, the unit rate that can be used is To find the perimeter in centimeters, use the formula P =. Convert the perimeter, centimeters, to inches by multiplying cm by. The result is inches. Problem 3: A can of fruit contains 411 grams. How many ounces does the can contain? Using a proportion to convert, the proportion will be : 1 g oz The on each ratio will out. The resulting proportion will be : Using the Product of Means Property, the resulting equation will be. 411 grams = ounces. The can of fruit will contain ounces. TEKSING TOWARD STAAR 2014 Page 4
5 Problem 4: A square has a side length of 18 meters. What is the area of the square in square meters and in square yards? Decide if you want to convert the side length to yards first or if you want to find the area first and convert the square meters to square yards. Show your work to find the area in square meters and square yards. Problem 5: A rectangular prism has dimensions 6 meters, 7 meters, and 8 meters. What is the volume of the prism in cubic feet? Decide if you want to convert the dimensions to feet first, or if you want to find the volume first and convert the cubic meters to cubic feet. Show your work to find the volume in cubic feet. Problem 6: Mr. Johnson is driving at 90 kilometers per hour. The speed limit is 60 miles per hour. Is Mr. Johnson speeding? Determine Mr. Johnson s speed in miles per hour. Compare his speed to the speed limit. TEKSING TOWARD STAAR 2014 Page 5
6 Student Activity 3 MATERIALS: Per Pair of Students: A set of objects that include a piece of ribbon, a rectangle, 2 cans, and 2 prisms. PROBLEMS: Can you convert customary measure to metric measure? Can you convert metric measure to customary measure? PROCEDURE: You will work in groups of 2 for Student Activity 3. Decide who is Student 1 and who is Student 2. Part 1: Round 1: Measure the piece of ribbon to the nearest inch. When you both agree on the measure, write the measure on the Conversion of Measures chart. Working together, convert the inches to centimeters. Student 1 converts the measure using a unit rate. Student 2 converts the measure using a proportion. When you both agree on the conversion, record the length of the ribbon in centimeters on the chart. Round 2: Measure the dimensions of the rectangle to the nearest inch. When you both agree on the measures of the dimensions, record them on the Conversion of Measures chart. Determine the area of the rectangle in square centimeters. Student 1 find the area using a unit rate and Student 2 find the area by using a proportion. When you both agree on the area, record it on the chart. Round 3: Find the can labeled Can 1. Look at the label and determine the capacity of the can in grams. Record the grams on the Conversion of Measures chart. Find the capacity of the can in ounces. Student 1 finds the conversion using a proportion. Student 2 finds the conversion using a unit rate. When you both agree, record the conversion on the Conversion of Measures chart. Round 4: Find the can labeled Can 2. Look at the label and determine the capacity of the can in ounces. Record the ounces on the Conversion of Measures chart. Find the capacity of the can in grams. Student 1 finds the conversion using a unit rate or a bar diagram. Student 2 finds the conversion using a proportion. When you both agree, record the conversion on the Conversion of Measures chart. Round 5: Find the prism labeled Prism 1. Measure the dimensions of the prism in centimeters. Record the dimensions on the Conversion of Measures chart. Find the volume of the prism in cubic inches. Student 1 finds the volume using a unit rate. Student 2 finds the volume using a proportion. When you both agree, record the volume on the Conversion of Measures chart.. Round 6: Find the prism labeled Prism 2. Measure the dimensions of the prism in inches. Record the dimensions on the Conversion of Measures chart. Find the volume of the prism in cubic centimeters. Student 2 finds the volume using a unit rate. Student 1 finds the volume using a proportion. When you both agree, record the volume on the Conversion of Measures chart. TEKSING TOWARD STAAR 2014 Page 6
7 Conversion of Measures Chart Ribbon Length in inches Length in centimeters Dimensions in inches Rectangle Area in square centimeters Capacity in grams Can 1 Capacity in ounces Capacity in ounces Can 2 Capacity in grams Dimensions in centimeters Prism 1 Volume in cubic inches Dimensions in inches Prism 2 Volume in cubic centimeters Part 2: Did you and your partner agree on the conversions the first time you compared answers? If not, which objects did you have to discuss the conversions to find an answer you agreed on? Do you have a preference of converting from customary to metric or metric to customary? Why? Do you prefer using a unit rate or a proportion to do the converting? Why? TEKSING TOWARD STAAR 2014 Page 7
8 NAME DATE SCORE /5 7.4E Skills and Concepts Homework 1 1. Convert the following lengths as indicated. Show your work. 9 inches to centimeters 4 feet to meters 3 miles to kilometers 2. Convert the following weights as indicated. Show your work. 11 ounces to grams 5 pounds to kilograms 3. Convert the following capacities as indicated. Show your work. 3 quarts to liters TEKSING TOWARD STAAR 2014 Page 8
9 12 fluid ounces to milliliters 2 gallons to liters 4. The Killough family drove 650 miles on their vacation last week. How many kilometers did they drive? Show your work. 5. The base of a rectangular prism has dimensions of 18 inches and 12 inches. The height of the prism is 9 inches. What is the area of the base of the prism in square centimeters? Show your work. What is the volume of the prism in cubic centimeters? Show your work. TEKSING TOWARD STAAR 2014 Page 9
10 NAME DATE SCORE /5 7.4E Skills and Concepts Homework 2 1. Convert the following lengths as indicated. Show your work centimeters to inches 4 meters to yards 6 kilometers to miles 2. Convert the following weights as indicated. Show your work. 400 grams to ounces 20 kilograms to pounds 3. Convert the following capacities as indicated. Show your work. 10 liters to quarts TEKSING TOWARD STAAR 2014 Page 10
11 200 milliliters to fluid ounces 12 liters to gallons 4. A book weighs about 1.2 kilograms. How many pounds does the book weigh? Which proportion(s) can be used to solve this problem? Circle the correct proportion(s). 1 kg 2.2 lb = 1.2 kg x lb 2.2 lb 1 kg = 1.2 kg x lb 1 kg 2.2 lb = x kg 1.2 lb Using your chosen proportion(s), find the weight of the book. 5. The base of a rectangular prism has dimensions of 22 centimeters and 35 centimeters. The height of the prism is 20 centimeters. What is the area of the base of the prism in square inches? Show your work. What is the volume of the prism in cubic inches? Show your work. TEKSING TOWARD STAAR 2014 Page 11
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