Making and counting representations of tens helps children understand place value and the structure of the base-ten number system. Children count 10 single cubes by ones and combine them into a single tower that represents 1 ten. This helps them understand why you can represent a group of 10 with a tens rod. By counting groups of ones and then counting by tens, children learn the efficiency of using 1 ten to represent 10 ones.
I begin this lesson by having children create their own group of ten and ones. I provide pairs of students with 10 craft sticks and a rubber band.
Encourage children to think of their 10 sticks as 10 ones.
I then give each pair 1–9 more craft sticks, emphasizing that these craft sticks represent ones. Have pairs write the number of tens and the number of ones that their model shows. Then have pairs share their models with the class.
I hand out white boards and markers to students or pairs of students. I read the following riddle aloud (also found on the Tens.ppt)
I am thinking of a number that is the same as 1 ten and 4 ones. What is my number?
I like to have connecting cubes and a ten frame available for children to use if needed. After modeling the problem, have children draw and write to show their work on their white boards.
I then read the next riddle aloud:
I am thinking of a number that is the same as 1 ten and 0 ones. What is my number?
Using the same procedure as above, I have students model and draw their work on their white boards.
I then display the PPT and work through the second slide with children.
Help children make a quick picture by drawing 2 lines to show the 2 tens on the top of their Tens_worksheet.docx. Then have children trace the numbers and say the number word twenty.
Explain that when children make tens and there are no ones, it is not always necessary to state that there are zero ones.
When students are ready, I then have them continue the worksheet independently.
One of the student misconceptions is to write each group of tens as a one. To help those students, I have children count out 40 connecting cubes and connect them to make 4 tens. We then count by tens as we write the numbers 10, 20, 30, and 40.
In this video, a student is explaining how he knows that an 8 in the tens place and a 0 in the ones place represents 80.
To close out the lesson, I have students get their math journal. I instruct the students to draw a quick picture to represent the number 30.
After the lesson, it is important to check the summarizing journals of the students. This allows for me to check that they understood the lesson and are able to master the standard. In the example of the student journal, although she spelled the word "thirty" incorrectly, she understood the concept that 3 tens make 30.