Lesson 3

Estimate Products

Est. Class Sessions: 3

Daily Practice and Problems

Teacher Notes
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TIMS Challenge

DPP item L can be used as a Problem of the Week.

  1. 18/36 or 1/2 of her guests are cousins. Possible response: Grace invited 36 family members to the party. 18 of the guests are cousins. 18 is half of 36 so 1/2 of the guests are cousins.
  2. 12/36 or 1/3 of the guests are aunts and uncles. Possible response: 36 can be divided into 12 three times. That means that 12 is 1/3 of 36.
  3. 24/36 or 2/3 of the guests are her cousins, brothers, and sisters. Possible response: When you add the cousins, brothers, and sisters there are 24 total. That means 24/36 guests are cousins, brothers, and sisters. Both 24 and 36 can be divided by 12, so 24/36 is equal to 2/3.
  4. 6/36 or 1/6 of the guests are her brothers and sisters. Possible response: There are 6 brothers and sisters at the party. This fraction is 6/36. Since you can divide both 6 and 36 by six, 6/36 is equal to 1/6.
    1. 6 cousins
    2. 4 of the aunts and uncles
    3. 2 of the brothers and sisters
    4. 3 tables; Possible response: 1/3, 4/12, and 2/6 are all equal fractions. If 1/3 of each group will be at each table, Grace will need 3 tables for her guests.

L. Family Party

Grace is planning a family birthday party. Her guest list includes:

18 cousins       6 aunts       6 uncles       4 brothers       2 sisters

  1. What fraction of Grace's party guests are her cousins? Show or tell how you decided.
  2. What fraction of her party guests are aunts and uncles? Explain your thinking.
  3. What fraction of her guests are cousins, brothers, and sister? Express this fraction in simplest terms.
  4. What fraction of her party guests are her brothers and sisters? Show or tell how you decided.
  5. Grace is planning on having long tables where people can sit and eat.

    1/3 of the cousins will be at each table.

    4/12 of the aunts and uncles will be at each table.

    2/6 of the brothers or sisters will be at each table.
    1. How many cousins will be at each table?
    2. How many aunts or uncles will be at each table?
    3. How many brothers or sisters will be at each table?
    4. How many long tables will Grace need for her guests? Show or tell how you decided.