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.
Launch
Groups of 2
Display the image.
“Pick 3 that go together. Be ready to share why they go together.”
1 minute: quiet think time
Activity
“Discuss your thinking with your partner.”
2–3 minutes: partner discussion
Share and record responses.
Which 3 go together?
A
B
C
D
Student Response
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Advancing Student Thinking
Activity Synthesis
Display Images A, C, and D.
“How are these images the same? How are they different?” (They all show 10. C and D are organized, but A isn't. A and D show groups of 5, but C doesn't. D is the only one you don't have to count.)
Activity 1
Standards Alignment
Building On
K.NBT.A.1
Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
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.
MLR7 Compare and Connect. Synthesis: After students have shared where 10 is in each representation, lead a discussion comparing, contrasting, and connecting the different approaches. Ask, “How did 10 show up in each method?” and “Why did the different approaches work?” Advances: Representing, Conversing
Launch
Groups of 2
Give each group a bag of connecting cubes and access to 10-frames.
“Your job is to figure out how many cubes are in the bag.”
Consider asking:
“How can we make sure both partners are counting?”
“What might it look like to count together? What might it sound like?”
“How can we make decisions together about how we count?”
Activity
“Work with your partner to count the collection. Each partner will show on paper how many there are and how you counted them together.”
10 minutes: partner work time
“Trade your representation with someone from another group. Can you understand how the other group counted? Explain how they counted.”
3 minutes: partner discussion
Monitor for students who counted and represented their count by:
Ones, in an organized way such as a row or tower of 16.
A group of 10 and some ones.
A tower of 10 and some ones.
How many are there?
Show how you counted.
My count:
How many?
Student Response
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Advancing Student Thinking
If students leave the objects scattered as they count, consider asking:
“How did you count the objects?”
“How can you organize the objects as you count so you know you counted each one?”
Activity Synthesis
Invite previously identified students to share in the sequence shown.
“How are these representations alike? How are they different?” (They all show there are 16 cubes. Some show counting by ones. Some are organized in rows. Some made a group of 10 and counted on.)
“Where is 10 in each representation?” (In _____’s representation, you see the 10 when they count up to it by ones. In _____’s representation, they circled 10 ones to show 10. In _____’s representation, they connected 10 and wrote 10 before counting on to 16.)
“We can call a group of 10 ones a ten. These representations show a ten and 6 ones. A ten and 6 ones is the same as 16.”
Activity 2
Standards Alignment
Building On
Addressing
1.NBT.B.2.a
10 can be thought of as a bundle of ten ones–-called a “ten.”
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.
Representation: Develop Language and Symbols. Invite students to explain their thinking orally using the cubes, as an alternative to the written explanation. Supports accessibility for: Conceptual Processing, Language
Launch
Groups of 2
Display the image of 14 connecting cubes or show actual cubes.
“To show a number, Clare arranges connecting cubes like this. What do you notice? What do you wonder?” (She made a tower with 10 cubes and put 4 more off to the side. Altogether there are 14 cubes. I wonder if she was trying to show 14.)
30 seconds: quiet think time
1 minute: partner discussion
Share responses.
Activity
Read the Task Statement.
6 minutes: partner work time
Monitor for students who represented 15, 16, and 17 to share in the Activity Synthesis.
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?
Activity Synthesis
Invite previously identified students to share their representations.
Record each with a diagram.
“What did you notice as you were showing these numbers with connecting cubes?” (They all had a tower of 10.)
“The numbers we made today are called teen numbers. A teen number is a number with 1 ten and between 1 and 9 ones.”
Lesson Synthesis
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?” ()
Standards Alignment
Building On
Addressing
Building Toward
1.NBT.B.2.a
10 can be thought of as a bundle of ten ones–-called a “ten.”