Illuminations: Food Pyramid Power

Food Pyramid Power


Try for Five

In this lesson, students explore the many ways to decompose numbers, and they build on their knowledge of addition and subtraction to find missing addends.

Learning Objectives

 
Students will:
  • decompose numbers
  • find addend sets for numbers up to 12
  • find missing addends
  • model situations that involve the addition and subtractions of whole numbers, using objects, pictures, and symbols

Materials

 
Scissors
Paper plates
Crayons
Paper
Pictures of food
10 Strips cut in half
Bibliography of Books About Food

Instructional Plan

To begin the lesson, you may wish to read a book about food [several are suggested in the Bibliography of Books About Food] and review the sections of the food pyramid. Ask the students to select foods from any two sections of the food pyramid so that seven foods will be selected in all. Record the students' choices on the board or overhead projector. You might copy the colored pictures of the foods to transparency film for use on the overhead projector.

Then ask volunteers to name how many foods came from each section of the food pyramid. Write the corresponding number sentence where all the students can see it. Now ask them to select seven foods in another way. Remind the students that they may use more than two addends if they wish.

Call on several students to tell their choices, and record each in a number sentence on the board. Repeat the activity with other numbers up to 12. To record the ways a number can be decomposed into addends, ask the students to draw a meal on their paper plate so that they will have five items in the meal. Encourage them to record the modeled addition sentence on the back of the paper plate. Then call on volunteers to tell how they created a meal of five items. You may wish to display these drawings or place them in the students' portfolios.

Ask the students to focus on the vegetable section of the pyramid. Ask how many servings are required each day [three to five]. Now ask the students to draw on a 10 strip that has been cut in half.
10 Strips Activity Sheet

Draw or paste two to four pictures of vegetables, one in each section of the strip. Model how to write a missing addend statement that describes how many vegetables must be drawn to complete the "5" strip. [For example, if three vegetables have been drawn, the sentence would be 3 + _ = 5.] Place the students in pairs, and have them compare the number of food pictures they drew with the number sentences.

 
 
3 + __________ = 5

 

Ask the students to exchange papers, complete their partner's strip, and fill in the missing addend. Call on volunteers to describe the strip using words and then using a subtraction sentence. Repeat the procedure, using the other half of the 10 strip and allowing the students to select up to five foods from either the fruit or vegetable sections. When the students are ready, call them together. Display the strips that they drew and the related number sentences with missing addends. If no students choose a number sentence in which the missing addend is zero, model this for the students.

For the second half of the lesson, divide the class into groups, and tell the students that they are going to act out stories about making healthy food choices. Assign one group of students to each section of the food pyramid, and ask them to draw one food from that section on their paper plate. In turn, call on one volunteer from each group to select a day's worth of healthy foods from among the student drawings. For each section, assign a volunteer to record the number sentences that the groups are modeling. [For the group assigned to the fruit section, for example, if two students drew oranges, one student drew an apple, and another drew a pear, the number sentence would be 2 + 1 + 1 = 4.]

Call out the food groups one at a time and ask the students who drew the pictures in that group to stand. Record the group and the number of students on the board [fruits, six; vegetables, eight]. Now ask a student to name any food group, note how many students are in that group, and write a missing addend statement on the board [6 + __ = 8]. Next, have the student call on the number of students to come to the front of the room that are required to represent the given addend [6].

Ask the other students, "How many more students need to join them to make the addition sentence correct?" [Two] Have the volunteer give the answer by calling the correct number of additional students to the front and completing the number sentence. [For example, if the sentence is 5 + _ = 9, five students will be called in the first group and then four more called.] Then, call on other volunteers to provide and model other number sentences with missing addends.

Questions for Students

 

If you want two groups with seven food pictures in all, what two addends can you model? Is there another way you can have two groups with seven foods in all? How could you have seven pictures in all three groups?

Show me three ways you can make food groups that add to eight. (Repeat with other numbers.)

Suppose I want to draw five fruits in all and I've drawn four of them. How many more will I have to draw? What number sentences will describe that?

How could you help a friend find the missing addend in 5 + _ = 9? How about 5 +_ = 5?

Assessment Options

 
  1. The students' answers to the above questions will show the individual achievement of your students.
  2. You may wish to add to your Class Notes recording sheet for this unit. These notes may be helpful as you plan future lessons.

Extensions

 
  1. Repeat the activity using "10" strips cut to various lengths.

     
                       

     

  2. Kathy Richardson's book, Developing Number Concepts, presents many ways to lead students to a sound sense of number and number relationships. Richardson suggests that hiding cubes under a container helps students begin to realize that the missing addend is related to the total number of objects.

Teacher Reflection

 
  • Which students easily recalled addends for a given number?
  • Which students easily recorded with number sentences?
  • Which students associated finding missing addends with subtraction? Which did not?
  • Which students are still having difficulty with the objectives of this lesson? What additional instructional experiences do they need?
  • What will I do differently the next time that I teach this lesson?

NCTM Standards and Expectations

 
Number & Operations Pre-K-2
  1. Understand the effects of adding and subtracting whole numbers.
  2. Understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations.
  3. Count with understanding and recognize "how many" in sets of objects.
  4. Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.

References

 
  • Richardson, Kathy. Developing Number Concepts: Addition and Subtraction. N.J.: Dale Seymour Publications, 1999.
This lesson prepared by Grace M. Burton.
  
1 period   

NCTM Resources

Principles and Standards for School Mathematics


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