Illuminations: Let's Count to 10

Let's Count to 10


Building Sets of Eight

Students explore the number 8. They make and decompose sets of eight, write the numeral 8, and compare sets of up to eight objects.

Learning Objectives

 

Students will:

  • construct groups of eight objects
  • identify and write the numerals up through 8
  • compare sets of eight with sets of up to eight items
  • record a group of eight items

Materials

 

Instructional Plan

Before beginning this lesson, it is important to know the extent of the students' sense of numbers up to eight and to find ways to challenge those students who understand eight and beyond. To determine understanding, give each student a set of 10 connecting cubes. Ask the students to create a set of eight on their workspace and to draw an 8 with "magic chalkā€ (writing in the air with their finger). A review of the previously covered numbers would also provide formative information. The teacher resource sheet Count to 10 Class Assessment can help you document the level of performance of each student. You may wish to note strengths as well as needs.

lessons/count10/Count10-TS-Assessment.pdf Activity Sheet Count to 10 Class Assessment Sheet

Provide the students with the Showing Sets of 8 activity sheet, a group of connecting cubes, and crayons in two colors. P>
lessons/count10/Count10-AS-SetsOf8.pdf Activity Sheet Showing Sets of 8 Activity Sheet

Encourage students to color each row with the two crayons and to color each row in a different way. Ask them to record the size of each group using the appropriate color crayon. When they have finished, ask them to share one or more ways that they colored the rows. [Their coloring patterns will show the ways that they decomposed eight into two groups. This is a valuable preparation for learning the combinations of eight, such as 4 + 4 and 3 + 5.] Ask them to take their sheets home and share their work with their family.

 

 

Show the students the numeral 8. Describe how it is made and ask them to make large 8s in the air. Then spray some canned shaving cream on a plastic surface and invite them to practice making the numeral in the cream. (This activity can also serve to clean the desk or tabletop.)

Now, using a computer that all the students can see, go to the Electronic Abacus Applet. Call on a volunteer to use the abacus to show a number from 1 through 8 by moving the abacus beads. (Because this virtual manipulative is designed for other purposes as well, use only the top bar of the abacus.) Then ask the volunteer's classmates what number is shown. Call on another volunteer to write the numeral on the board. Repeat with several other volunteers, clearing the abacus each time.

Next give each student a copy of the 10-Frame activity sheet. Ask the students to put eight connecting cubes into the frame, one in each section. Remind them to start at the smiley face and go in the direction of the arrow. To help them see the relationship of eight to five, ask "How many cubes are in the top row? How many are in the second row?"

lessons/count10/Count10-AS-10Frame.pdf Activity Sheet 10-Frame Activity Sheet

Students may also use the Ten Frame tool to explore numbers up to 10.

Ten Frame Tool

After they have finished, give the students their Steps to 10 activity sheet.

lessons/count10/Count10-AS-StepsTo10.pdf Activity Sheet Steps to 10 Activity Sheet

Ask them to look for the column with "8" at the top and to color in eight rows, starting at the bottom row. Circulate as they work. Encourage the students to compare the "8" column with the columns they have colored in previously. Then collect the charts.

Questions for Students

 

What new number did we talk about today?

[We talked about eight.]
Can you show me that many connecting cubes?

Can you count to eight? Can you clap eight times?

Show me a group of seven and a group of eight. Which group has more?

[The group of eight.]
How can you tell?
[The group of seven is shorter.]

How can you change a group of eight to a group of seven?

[I can take away one.]
How can you change a group of five to a group of eight?
[I can add three more to the group of five.]

When you count, what number comes after seven?

[The number 8.]
What number comes before eight?
[The number 7.]

How did you show eight on your chart? How is that column like the column for 7?

[They both have more than the 6 column. They are not all the way to 10.]
How is it different?
[There is one more square colored in column 8.]

How can you show eight on a "10" Frame? How many cubes would be in the top row? In the bottom row?

[Five would be on the top.] [Three would be on the bottom.]
How many more cubes would you need to add to fill the "10" Frame?
[I need two more.]

Assessment Options

 
  1. Use the teacher resource sheet, Class Notes, to document your observations about the students' abilities to do the following:
    • Construct groups of eight objects
    • Compare a group of eight objects with a group of up to eight objects
    • Identify and write the numeral 8
    • Record a group of eight items

Teacher Reflection

 
  • Which students have learned the meaning of each of the numbers studied so far? What are the next appropriate goals for them?
  • Are there students still unable to count out up to eight objects? What should I do at this time to help them reach this goal?
  • Which students are not yet able to count rationally to eight? What experiences do they need next?
  • Which students are not yet able to write the numerals through 8? Which numerals are the most difficult for them?
  • Which students are able to compare sets of up to eight objects? Which students are not yet able to do this? What learning activities should I plan for them?
  • Are some students reluctant to participate? What experiences might make them more comfortable with participating?
  • What adjustments will I make the next time that I teach this lesson?

NCTM Standards and Expectations

 
Number & Operations Pre-K-2
  1. Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.
  2. Connect number words and numerals to the quantities they represent, using various physical models and representations.
  3. Count with understanding and recognize "how many" in sets of objects.

References

 
  • Baratta-Lorton, Mary. Mathematics Their Way. Menlo Park, Calif.: Addison-Wesley, 1974.
  • Burton, Grace M. Towards a Good Beginning: Teaching Early Childhood Mathematics. Menlo Park, Calif.: Addison-Wesley, 1985.
This lesson was developed by Grace M. Burton.
  
1 period   

NCTM Resources

Principles and Standards for School Mathematics

 Activities

Lessons


National Council of Teachers of Mathematics Thinkfinity Verizon Foundation
© 2000 National Council of Teachers of Mathematics
Use of this Web site constitutes acceptance of the Terms of Use