Math Investigations

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Chapter 14

Part 1: Home and School Investigation

Send the Letter to Family (PDF file) home with each child. Once all of the children have brought in their pictures to show how they made 12¢, look at the different ways with the whole class. Create an area to display the children's work. Have one child put his or her picture of a way to make 12¢ in the display area. Then ask, Do any of you have a way to make 12¢ that is different? Keep asking this question to display as many different ways as you can. If a child shows a way that is already displayed, put that drawing on top of or underneath the drawing that is already there. Once you have put up all of the different ways the children have created, ask, Can anyone think of a way that is not here? A good time to do this activity is after Lesson 6 on equal amounts.

Answer:

Here are the different ways to make 12¢.

  • 12 pennies
  • one dime, two pennies
  • one nickel, seven pennies
  • two nickels, two pennies

Part 2: Be an Investigator

A good time to do this investigation is after Lesson 6 on equal amounts.

Materials

Introducing the Investigation

Ask children how many different ways they can make 25¢ using only nickels, dimes, and quarters. Listen to their guesses and then tell them they are going to work with a partner to find all of the different ways they can make 25¢ using only nickels, dimes, and quarters.

Put children in pairs to work on the investigation.

Doing the Investigation

Give each pair a copy of the Investigator Worksheet, scissors, glue, and blank paper. You might also want to give them coins to use to find the solutions. Tell them you want them to find as many ways as they can to make 25¢ using only nickels, dimes, and quarters. Tell them to cut out coins and glue them onto the paper to show their solutions. Have them circle each group of coins that has a value of 25¢. Then, have the pair choose one way to make 25¢ to submit to the display area.

Create a display area to show the solutions. When children are finished, have one group put their picture in the display area. Then ask, Do any of you have a way to make 25¢ that is different? Keep asking this question to display as many different ways as you can. If a group shows a way that is already on the display, put that drawing on top of or underneath the drawing that is already there. Once you have put up all of the different ways the children have created, ask, Can anyone think of a way that is not here?

Answer:

  • five nickels
  • three nickels, one dime
  • one nickel, two dimes
  • 1 quarter

Extending the Investigation

Do the same activity with a different value (such as 16¢) and allow the use of pennies.


Houghton Mifflin Math Grade 1