? Name 15.4 Essential Question ustomary Units of Liquid Volume Unlock the Problem How can you convert customary units of liquid volume? Geometry and Measurement 4.., 4.. lso 4.. MTHEMTIL PROESSES 4.1., 4.1.F, 4.1.G Liquid volume is the measure of the space a liquid occupies. Some basic units for measuring liquid volume are gallons, half gallons, quarts, pints, and cups. The bars below model the relationships among some units of liquid volume. The largest units are gallons. The smallest units are. 1 gallon 1 cup = 1 pint = 2 cups 1 quart = 4 cups 1 gallon 1 half gallon 1 half gallon 1 quart 1 quart 1 quart 1 quart 1 pint 1 pint 1 pint 1 pint 1 pint 1 pint 1 pint 1 pint 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup 1 cup Example How does the size of a gallon compare to the size of a quart? STEP 1 raw two bars that represent this relationship. One bar should show gallons and the other bar should show quarts. Math Talk Mathematical Processes escribe the pattern in the units of liquid volume. STEP 2 Shade 1 gallon on one bar and shade 1 quart on the other bar. STEP 3 ompare the size of 1 gallon to the size of 1 quart. So, 1 gallon is _ times as much as 1 quart. Module 15 537
Example 1 onvert larger units to smaller units. Serena is making 3 gallons of lemonade to sell with her friend. Her friend wants to know how many of lemonade Serena made. How many of lemonade did Serena make? STEP 1 Use the model on page 537. Find the relationship between gallons and. 1 gallon = _ cups 1 cup = _ 1 gallon = _ cups _ 1 gallon = _ STEP 2 Make a table that relates gallons and. Fluid Gallons Ounces 1 12 2 3 Think: 1 gallon = 12 2 gallons 12 = _ 3 gallons 12 = _ So, Serena made _ of lemonade. Example 2 onvert smaller units to larger units. llison needs to make 36 cups of fruit punch for a party. The recipe she has uses quarts instead of cups. How many quarts of fruit punch does llison need to make for the party? ups Quarts 16 4 24 Think: 16 cups 4 = 4 quarts 24 cups 4 = 32 36 So, llison made _ quarts of fruit punch. 53 32 cups _ = 36 cups _ =
Name Share and Show 1. ompare the size of a quart to the size of a pint. Use a model to help. 1 quart 1 quart is _ times as much as _ pint. ustomary Units of Liquid Volume 1 cup (c) = (fl oz) 1 pint (pt) = 2 cups 1 quart (qt) = 2 pints 1 quart (qt) = 4 cups 1 gallon (gal) = 4 quarts 1 gallon (gal) = pints 1 gallon (gal) = 16 cups omplete. 2. 4 cups = _ pints 3. 12 quarts = _ gallons 4. 6 quarts = _ cups 5. 20 cups = _ quarts 6. 3 gallons = _ pints 7. 16 pints = _ cups Problem Solving Math Talk Mathematical Processes Explain how the conversion chart above relates to the model in Exercise 1.. Use Representations Multi-Step soccer team has 25 players. The team s thermos holds 4 gallons of water. If the thermos is full, is there enough water for each player to have 2 cups? Explain. Make a table to help. Gallons 1 2 ups 3 4 9. Penelope drank 64 of water each day for 7 days. How many cups of water did Penelope drink during those 7 days? Explain. Module 15 Lesson 4 539
aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer. 10. corn plant gives off about 9 gallons of water each month during the growing season. How many pints of water does the corn plant give off each month? 144 pints 36 pints 72 pints 1 pints 11. Ken makes 6 quarts of fruit juice. He serves the juice in glasses that hold 1 cup. How many glasses of fruit juice does Ken serve? 12 glasses 24 glasses 96 glasses 4 glasses 12. Multi-Step Marty s pitcher holds 64 of water. She drinks 4 cups of water in the morning and 2 cups in the afternoon. How much water is left in the pitcher? 40 32 52 16 TEXS Test Prep 13. pitcher contains 5 quarts of water. How many cups of water does the pitcher contain? 540 4 cups 10 cups 20 cups 40 cups
Homework and Practice Name Geometry and Measurement 4.., 4.. lso 4.. MTHEMTIL PROESSES 4.1., 4.1.F, 4.1.G 15.4 ustomary Units of Liquid Volume omplete. 1. 5 gallons = pints 2. 20 cups = quarts 3. 3 cups = 4. 6 pints = quarts 5. 16 quarts = gallons 6. 40 = cups ustomary Units of Liquid Volume 1 cup (c) = (fl oz) 1 pint (pt) = 2 cups 1 quart (qt) = 2 pints 1 quart (qt) = 4 cups 1 gallon (gal) = 4 quarts 1 gallon (gal) = pints 1 gallon (gal) = 16 cups Problem Solving 7. Marina s mug holds 12 of liquid. She drinks 6 mugs of liquid a day. How many cups of liquid does she drink? Explain. Make a table to help you. ups 1 2 3 4 Fluid Ounces. Joshua made 5 gallons of maple syrup. How many pint jars does he need to hold the syrup? Explain. 9. The label on a bottle of apple juice says it contains 12. How many quarts of juice are in the bottle? Explain. Module 15 Lesson 4 541
Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer. 10. Michael has a pail that holds 5 gallons of water. How many quarts of water does the pail hold? 40 quarts 20 quarts 10 quarts 15 quarts 11. Emily needs 12 cups of fruit juice for a punch recipe. The juice comes in quart bottles. How many bottles of juice should Emily buy? 6 4 2 3 12. Multi-Step Marsha s thermos holds 3 pints of tea. She drinks 2 cups of tea on her break and 1 cup of tea for lunch. How many cups of tea are left in the thermos? 13. Multi-Step Each batch of pancakes rlo makes needs 2 cups of milk. How many batches of pancakes can rlo make with 2 quarts of milk? 3 cups 2 cups 6 cups 4 cups 4 2 16 14. Multi-Step ntonia made 64 of jam. How many pint jars can ntonia fill with the jam? 542 6 2 4 15. Multi-Step Peter s glasses each hold. How many glasses of juice can Peter pour from a bottle that holds 2 quarts? 4 16 12