Demonstrating Addition Using
Manipulatives
Objectives:
 Students will develop concepts of addition by using
real world models. 
 Students will realize that several different number
combinations can add up to the same number. 
 Students will be introduced to the concept of
probability. 
Materials:
Part I:
 Colored beans 
 Cups 
 White paper 
 Red and white cutouts of beans 
Part II:
 2 different colors of fish cutouts 
 White construction paper 
Introduction:
Tell the students that we are going to be working with
number sentences. Ask students for examples of addition number sentences. Hold
up fingers so students can make number sentences using the number of fingers
raised on each hand.
Procedure:
Part I: Painted Bean Number Sentences
 Show students a painted bean. Make sure that they see
there are two sides to the bean, a red side and a white side. Take six beans
and put them in a cup. 
 Show the students that they can shake up the cup and
dump out the beans. 
 Point out the fact that when dumped out, the beans fall
in a certain pattern. Draw this pattern on the board, pointing out the
number of red sides showing and the number of white sides showing. 
 Write a number sentence for this combination of beans.
For example, if there are 2 reds and 4 whites, the sentence would be 2 + 4 =
6. 
 Repeat this once more, showing the new combination and
number sentence. 
 Have students return to their seats and do the same
thing using 8 beans each. 
 Closure for this part of the lesson: Have students come
to the carpet and give all the different possibilities of number
combinations that add up to the number 8. Discuss the fact that different
combinations came out frequently and that sometimes they got the same
combinations (introduction to probability). 
Part II: Demonstrating Addition Facts Using Fish CutOuts
 After students finish Part I, write the number sentence
2 + 3 = 5 on the board. Tell students they have been counting objects to do
these math problems thus far. 
 Tell them that this time, they are going to choose
number sentences and add the correct number of objects for each addend using
different colored fish cutouts. 
 Using the number sentence on the board, have students
figure out how many fish should be drawn above each addend. Show them that
they will use cutouts instead of drawing the fish. 
 Show students an example done on paper. Send them back
to their seats to complete the project. 
 Closure for this part of the lesson: Have students
bring their papers to the carpet. Ask several students to share one of their
problems, counting out each addend so that everyone can see that the two
addends are equal to the sum. (Example: 2 + 2 = 4: Here are two orange fish
and here are two purple fish. If you count, you can see that two fish plus
two fish equals four fish. Student counts for the class.) 
Closure for Entire Lesson:
Because each section was concluded separately, quickly summarize that there are
different ways to combine numbers to make a larger number. Ask for examples of
different combinations of numbers that add up to eight. Also, remind students
that they can illustrate the addends of an addition problem, making it easier to
figure out the answer. Refer to the project just completed and the example on
the board from the beginning of Part II.
