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This Warm-up prompts students to carefully analyze and compare features of representations. In making comparisons, students have a reason to use language precisely (MP6). The activity also enables the teacher to hear the terminologies students know and how they talk about characteristics of different representations. Three of the representations show 10 images. Analyzing different representations of 10 will be helpful when students create their own representations of teen numbers in upcoming activities.
Which 3 go together?
The purpose of this activity is for students to count a collection of objects and show on paper how many there are so that others can understand how they counted. This collection of objects is a teen number of connecting cubes to encourage students to unitize a ten (MP7). In the Synthesis, students consider representations that show a group of 10 cubes.
How many are there?
Show how you counted.
My count:
How many?
The purpose of this activity is for students to compose a teen number as one ten and some ones. In the Launch, students look at an example of cubes arranged in a tower of 10 and singles. Then students build teen numbers out of connecting cubes using a tower of 10 cubes. As students share their thinking, the teacher draws a tower of 10 units and some ones. For example, a student may say, “I have a tower of ten, and made a line with the 4 other cubes, 11, 12, 13, 14.” The teacher draws: 14
If students do not specifically describe their arrangement, the teacher should ask students, “How did you arrange the ones?” before drawing them.
Some students may connect the cubes that represent ones in their representation, but it is important that the teacher draws and labels them as separate units.
Clare shows a number like this.
Choose 4 numbers to represent.
Circle them.
10
11
12
13
14
15
16
17
18
19
Use connecting cubes to show each number like Clare did.
What did you notice as you were showing each number?
Display a base-ten drawing of 14.
“Today we showed teen numbers with connecting cubes. We can say 14 is a ten and 4 ones. How does this representation show a ten and 4 ones?” (There are 10 cubes in the tower, so that is why it is called a ten. There are 4 single cubes left over. That shows the 4 ones.)
Label the representation with 10 and 4. “We can also say that 14 is 10 and 4. We can write the equation .”
“If I have a collection with 1 ten and 6 ones, how many are in my collection? What equation represents this?” (16; )
“If I have 19 in my collection, how can I show that with cubes?” (1 tower of 10 and 9 single cubes)
“What equation can I write?” ()