Math problem set Grade 4 Math

Hadley Water Bills: Money, Gallons, and Rounding

A grade 4 problem set: students work out fictional Hadley water bills from a flat fee and a charge per 1,000 gallons, then round the yearly totals.

Objectives

  1. Students will find a total water bill by combining a flat fee with a per-gallon charge.
  2. Students will round a yearly bill total to the nearest ten or hundred dollars.

Vocabulary

Key words: flat fee, bill, round

Teacher overview

In the fictional town of Hadley, every home pays a monthly water bill made of two parts: a flat fee that is the same for everyone, plus a charge for the water actually used. This set has students build each bill by multiplying and adding, then round some totals, joining the money word problems of 4.MD.A.2 with the rounding of 4.NBT.A.3. Each problem states its own numbers. A common error is to forget the flat fee and report only the water charge, so remind students that both parts belong in the total.

Answer Key

  1. Answer: $12. The charge is $3 for each 1,000 gallons, and 4,000 gallons is 4 thousands, so 4 × $3 = $12.
  2. Answer: $18. Add the flat fee: $12 + $6 = $18.
  3. Answer: $27. 7 thousands × $3 = $21 for water, plus the $6 fee, so $21 + $6 = $27.
  4. Answer: $12. 2 thousands × $3 = $6 for water, plus the $6 fee, so $6 + $6 = $12.
  5. Answer: $320. $324 is between $320 and $330. The ones digit is 4, which is less than 5, so it rounds down to $320.
  6. Answer: 9,000 gallons. 4,000 + 5,000 = 9,000 gallons.
  7. Answer: 5 thousands (5,000 gallons). Each 1,000 gallons costs $3, and $15 ÷ $3 = 5, so the home used 5,000 gallons.
  8. Answer: $36. Two bills of $18 each: $18 + $18 = $36.
  9. Answer: $400 to the nearest ten and $400 to the nearest hundred. $396 is between $390 and $400, and the ones digit 6 is 5 or more, so it rounds up to $400. $396 is also between $300 and $400, and the tens digit 9 is 5 or more, so it rounds up to $400.

Differentiation

Support

Give students a two-box organizer labeled "water charge" and "flat fee" so they can find each part before adding. Provide a chart that lists the water charge for 1,000 through 9,000 gallons already worked out, so students who are still learning multiplication can focus on adding the fee and rounding.

Extension

Ask students to find the full bill for a home that used 10,000 gallons, then explain in writing which part of the bill grows when a home uses more water and which part stays the same.

ELL supports

Pre-teach "flat fee" and "charge" with a simple picture of a bill split into two boxes. Provide a sentence frame: "The full bill is the water charge plus the flat fee, so the total is ___."