Lesson 20 Interpret Remainders in Division Situations

    • Let’s solve problems involving division and interpret remainders.

Warm-up Choral Count: 2, 3, and 5

Count by 2 starting at 90.

What patterns do you notice in each of the recorded counts?

Count by 3 starting at 90.” Stop counting and recording at 114.

Count by 5 starting at 90.” Stop counting and recording at 115.

Activity 1 Muffins and Seats

  1. Two bakers at a bakery made 378 muffins. The muffins are put in boxes of 4.

    • The first baker says they will need 94 boxes for all the muffins.

    • The second baker says 95 boxes are needed.

    Who do you agree with? Explain or show your reasoning.

    image of a box containing 4 muffins

     

  2. An auditorium seats 258 people. The seats are arranged in rows of 9, but there is one short row with fewer than 9 seats.

    How many rows of 9 seats are there? How many seats are in the shorter row?

Activity 2 Save for a Garden

Problem 1

photograph of a flower garden

A school needs $1,270 to build a garden. After saving the same amount each month for 8 months, the school is still short by $6.

How much did they save each month? Explain or show your reasoning.

Problem 2

Choose one of the following division expressions.

  1. Write a situation to represent the expression.

  2. Find the value of the quotient. Show your reasoning.

  3. What does the value of the quotient represent in your situation?

Practice Problem

Problem 1

There are 875 peaches at the orchard. Each box contains 9 peaches. How many boxes are needed for the peaches? Explain your reasoning.