Math problem set Grade 4 Math

Ashford Pump Station: Gallons and Minutes Multiplication

A grade 4 problem set at the fictional Ashford pump station, using multi-digit multiplication to find total gallons pumped from a flow in gallons per minute.

Objectives

  1. Students will multiply a flow in gallons per minute by a number of minutes to find total gallons.
  2. Students will solve multistep problems that combine or compare two pumps.

Vocabulary

Key words: flow, product, area model

Teacher overview

The fictional town of Ashford runs a pump station with three pumps, each moving a set number of gallons each minute. This set has students find total gallons by multiplying a flow by a number of minutes, using the multi-digit multiplication of 4.NBT.B.5 and the multistep reasoning of 4.OA.A.3. Problems 2, 4, 6, and 8 reuse the pump flows given in problems 1 and 3, so students should work in order. A common error is adding the flow and the minutes instead of multiplying them; remind students that a rate repeated over many minutes calls for multiplication, not addition.

Answer Key

  1. Answer: 240 gallons. 40 × 6 = 240 gallons.
  2. Answer: 1,200 gallons. 40 × 30 = 1,200 gallons.
  3. Answer: 1,000 gallons. 125 × 8 = 1,000 gallons.
  4. Answer: 875 gallons. 125 × 7 = 875 gallons.
  5. Answer: 6,000 gallons. 1,200 × 5 = 6,000 gallons.
  6. Answer: 165 gallons. Pump A moves 40 and Pump B moves 125 in one minute, so 40 + 125 = 165 gallons.
  7. Answer: 240 gallons. Students may draw a rectangle labeled 6 by 40 and write 240 inside, since 40 × 6 = 240.
  8. Answer: 1,200 gallons. 15 + 15 = 30 minutes, and 40 × 30 = 1,200 gallons.
  9. Answer: Pump B, by 340 gallons. Pump A moves 40 × 4 = 160 gallons and Pump B moves 125 × 4 = 500 gallons, so B moves 500 − 160 = 340 more gallons.

Differentiation

Support

Give students a printed area-model grid and a multiplication chart. Start with problems 1 and 3, which use a one-digit number of minutes, before the two-digit problems. Let students break 30 minutes into 3 tens when they multiply in problem 2.

Extension

Ask students to find how many minutes Pump B must run to move exactly 1,000 gallons if it moves 125 gallons each minute, then check the answer by multiplying back.

ELL supports

Provide a labeled picture of a pump with an arrow showing water moving out each minute. Give a sentence frame for the word problems: "The pump moves ___ gallons each minute for ___ minutes, so I multiply to get ___ gallons."