Lesson 4

Every Number Has Its Place

Est. Class Sessions: 2
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Mathematical Standards

2.NBT.A
Understand place value. (2.NBT.A.1, 2.NBT.A.2, 2.NBT.A.3)
2.MD.B
Relate addition and subtraction to length. (2.MD.D.6)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP5.
Use appropriate tools strategically.
MP8.
Look for and express regularity in repeated reasoning.

Students critique the work of Professor Peabody to reveal important place value concepts. They continue to compose and decompose numbers using ones, tens, and hundreds. Students represent partitions of 2- and 3-digit numbers with connecting cubes and number sentences, and recognize that partitions of the same number have the same total.

Content in this Lesson

  • Grouping and counting by ones, tens, and hundreds.
  • Representing two- and three-digit numbers using connecting cubes and symbols [E1].
  • Recognizing that different partitions of the same number have the same total (e.g., 50 + 4 = 40 + 14) [E7].
  • Composing and decomposing numbers using ones, tens, and hundreds [E2].
  • Showing different partitions of numbers using connecting cubes and number sentences (e.g., 154 = 100 + 50 + 4) [E3].
  • Reading and writing numbers [E5].
  • Making connections between place value concepts and representations of numbers with connecting cubes, number sentences, and symbols [E6].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Book

 Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Student Groups

200 connecting cubes
rubber bands or gallon plastic bags

Materials for the Teacher

Display of Professor Peabody's Problems (Student Activity Book) Pages 245–248
Hundreds, Tens, and Ones Recording Chart Master (Teacher Guide). See Materials Preparation.
Display of Cubes on Desks Master (Teacher Guide)
Unit 5 Assessment Record
Math Facts Class Record
connecting cubes. See Content Note.
rubber bands or gallon plastic bags
chart paper, optional

Materials Preparation

Prepare Displays. Make several copies of the Hundreds, Tens, and Ones Recording Chart Master. You will use these to record number partitions throughout the lesson.

Content Note

Connecting cubes. Connecting cubes are used in this lesson to increase students' understanding of a core place value concept. Students need to be able to move from a unit of one to a unit of ten, understanding that a unit of ten is ten ones. A group of ten is a new unit. This is a significant conceptual leap for students. If base-ten skinnies are introduced before this understanding, some students don't see the skinny as ten ones. When introduced too early, base-ten blocks can impede this important understanding.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
Putting Together and Taking Apart
with Feedback Box
Teacher Guide - digital
E1. 
Represent quantities (to the hundreds) using connecting cubes, words, and symbols.
E2. 
Compose and decompose numbers using ones, tens, and hundreds.
E3. 
Show different partitions of numbers using connecting cubes, number lines, and number sentences (e.g., 154 = 100 + 50 + 4).
E5. 
Read and write numbers (to the hundreds).
E6. 
Make connections between place value concepts and representations of numbers with counters, number lines, number sentences, and symbols.
E7. 
Recognize that different partitions of a number have the same total (e.g., 50 + 4 = 40 + 14).
MPE5. 
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
DPP Item N
Buckets of Cubes
E2. 
Compose and decompose numbers using ones, tens, and hundreds.
E5. 
Read and write numbers (to the hundreds).
DPP Item P
Fact Families
E15. 
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group F.

Vocabulary in this Lesson