Reteach Chapter Grade 5
esson Reteach Convert Customary Units of ength Customary Units of ength foot (ft) = inches (in.) mile (mi) = 5,80 ft yard (yd) = 6 in. mile (mi) =,760 yd yard (yd) = ft Multiply to change larger units to smaller units. 9 yd = ft Yards are larger units than feet. yard = feet So multiply by. 9 = 7 9 yd = 7 ft Divide to change smaller units to larger units. 7 ft = yd ft Feet are smaller units than yards. feet = yard So divide by. 7 = R 7 ft = yd ft. 7 ft = in.. 80 in. = ft in. foot = inches inches = foot So multiply by. So divide by. 7 = 80 = 7 ft = in. 80 in. = ft in.. 7 in. = yd 4. 60 yd = ft 88 Grade 5 Chapter Measurement
esson Reteach Problem Solving: Use ogical Reasoning The distance around Mayuko s block is 0.8 mile. The distance around eonard s block is 0.6 mile. If Mayuko runs around her block 4 times and eonard runs around his block 5 times, who would run the greater distance? Understand Read the problem. Identify the important information. What facts do you know? What do you need to find? Plan Solve You can use logical reasoning to solve the problem. First, find 4 times the distance around Mayuko s block. Then find 5 times the distance around eonard s block. Finally, compare the totals to see who will run the greatest distance. Follow your plan. Solve the problem. Multiply to find the distance Mayuko will run. 0.8 4 = Multiply to find the distance eonard will run. 0.6 5 = Finally, compare the distances..0 <. Who will run the greatest distance? Check Reread the problem. Does your answer make sense? Grade 5 Chapter Measurement 89
esson Reteach Problem Solving: Use ogical Reasoning (continued) Use logical reasoning to solve each problem.. Of 6 people surveyed, 9 said they go to basketball games and said they go to football games. Five of the people said they go to both. How many people said they go to basketball games, but not to football games?. Of 40 teachers surveyed, 4 said they listen to classical music and 7 said they listen to opera. Eleven of the teachers said they listen to both classical music and opera. How many teachers listen to classical music, but not to opera?. Of 4 students surveyed, 7 students said they like board games and said they like card games. Five students said they like both. How many students said they like board games, but not card games? 5. Amad wants to buy trading cards. Superstar packages cost $. each and mixed packages cost $.78 each. Amad buys 7 packages and spends a total of $5.6. How many of each type of package did he buy? 7. A band is performing on a rectangular stage that is 6 feet by 4 feet. The manager wants to set up lights every 4 feet around the stage, including the corners. How many lights will he need? 4. Of the 50 people surveyed at a recreation center, said they used the basketball courts and 4 said they used the racquetball courts. Six of the people said they used both courts. How many people said they use the racquetball courts, but not the basketball courts? 6. Jessica has a 40-inch board. She cuts off a 0-inch piece. She wants to make more cuts to get 6-inch pieces. How many 6-inch pieces can she get? 8. Write a problem that you could use logical reasoning to solve. Share it with a classmate. 90 Grade 5 Chapter Measurement
esson 5 Reteach Convert Customary Units of Weight Customary Units of Weight pound (lb) = 6 ounces (oz) ton (T) =,000 lb Multiply to change larger units to smaller units. Divide to change smaller units to larger units. 8 T = lb Tons are larger units than pounds. Ton =,000 lb So, multiply by,000. 8,000 = 6,000 8 T = 6,000 lb 50 oz = lb oz Ounces are smaller units than pounds. 6 ounces = pound So, divide by 6. 50 6 = R 50 oz = lb oz. 9 T = lb. 5 oz = lb oz ton = pounds ounces = pound So, multiply by. So, divide by. 9 = 5 = 9 T = lb 5 oz = lb oz. 64 oz = lb 4. T = lb 5. 6 lb = oz 6. 6,000 lb = T 7. oz = lb 8. 40 oz = lb oz Compare. Use >, <, or = to make a true statement. 9. lb 48 oz 0. 4,000 lb T. 0 oz lb Grade 5 Chapter Measurement 9
esson 7 Reteach Convert Customary Units of Capacity You can use these charts to help you convert between customary units of capacity. Customary Units of Capacity cup (c) = 8 fluid ounces (fl oz) pint (pt) = c or 6 fl oz quart (qt) = pt or 4 c or fl oz gallon (gal) = 4 qt 4 qt = pt You are changing from a larger unit to a smaller unit, so multiply. qt = pt 64 fl oz = qt You are changing from a smaller unit to a larger unit, so divide. qt = fl oz So, 4 qt = 8 pt. 4 = 8 64 = So, 64 fl oz = qt.. 0 gal = qt. 5 fl oz = c gal = qt c = fl oz 0 gal = 0 = qt 5 = c. 4 pt = qt 4. pt = qt 5. 8 qt = c 6. gal = qt 7. _ qt = pt 8. 4 c = fl oz 9. 6 gal = qt 0. qt = pt. 96 fl oz = qt. 4 pt = c. 5 pt c = c 4. gal qt = qt 9 Grade 5 Chapter Measurement
Name esson 8 Reteach Display Measurement Data on a ine Plot Each beaker is filled with a different amount of liquid. Mr. Scott wants the same amount of liquid in each beaker. You can find the amount each bottle would have if the liquid was divided equally. This is called the fair share. 4 4 Add the fractions to find the total amount of liquid. _ +_=_ 4 4 _+_+ _+_+ _= Hint: Add the fractions with like denominators first. = There are liters of liquid in all. Divide the total amount of liquid by the number of beakers to find out how much there would be in each beaker. Draw a diagram to help. 6 liters of liquid 4 5 6 Divide the entire amount equally into 6 beakers. Each beaker has _ liter of liquid. Solve.. What is the fair share, in pounds, of the apples? Amount of Apples (lb) 4 4 4 _ 4 4 4 Biking Distance (mi). What is the correct fair share for the measurements shown in the line plot? 0 Grade 5 Chapter Measurement X XX XX XX X X 4 X 9
esson 0 Reteach Convert Metric Units of ength The meter (m) is the basic unit of length in the metric system. Metric Units of ength kilometer (km) =,000 meters (m) meter = 00 centimeters (cm) =,000 millimeters (mm) centimeter = 0 millimeters (mm) 6 m = mm You are changing from a larger unit to a smaller unit, so multiply. 6 m = 6,000 mm = 6,000 mm. 00 cm = m You are changing from a smaller unit to a larger unit, so divide. 00 cm 00 cm = m. 4 m = cm. 7,000 m = km m = cm km = m 4 m = 4 cm = cm 7,000 m m = km. km = m 4. 90 mm = cm 5. 450 mm = cm 6. 6 m = cm 7. 400 cm = m 8.,000 m = km 9. 5,00 cm = m 0. m = cm. 70 mm = cm 94 Grade 5 Chapter Measurement
esson Reteach Convert Metric Units of Mass Mass is the amount of matter in an object. The kilogram (kg) and the gram (g) are metric units of mass. Metric Units of Mass kilogram (kg) =,000 grams (g) gram (g) =,000 milligrams (mg) 4 kg = g You are changing from a larger unit to a smaller unit, so multiply. 4 kg = 4,000 g = 4,000 g 4,000 mg = g You are changing from a smaller unit to a larger unit, so divide. 4,000 mg,000 mg = 4 g. 7 g = mg. 7,000 g = kg g = mg kg = g 7 g = 7 mg = mg 7,000 g g = kg. 4 g = mg 4. 5 kg = g 5.,000 mg = g 6. 8,000 g = kg 7. 48 g = mg 8. 6,000 mg = g 9.,000 mg = g 0.,000 mg = g.,000 mg = g. 7 g = mg. 8,000 mg = g 4. 4,000 mg = g Grade 5 Chapter Measurement 95
esson Reteach Convert Metric Units of Capacity The liter () and the milliliter (m) are metric units of capacity. Metric Units of Capacity liter () =,000 milliliters (m) Multiply to change larger units to smaller units. = m iters are larger units than milliliters. liter =,000 milliliters. So, multiply by,000.,000 =,000 =,000 m Divide to change smaller units to larger units. 9,000 m = 9,000 m = _ 9,000,000 or 9 9,000 m = 9. 4,000 m =. 59 = m liter =,000 milliliters liter = milliliters So, divide by. So, multiply by. 4,000 = 59 = 4,000 m = 59 = m. 50 = m 4. 64,000 m = 5. 9,000 m = 6. = m 7. = m 8. 40 = m 9. 5,000 m = 0. 78 = m. 86 = m.,50,000 m = 96 Grade 5 Chapter Measurement