Lesson 3

Cubes and Place Value

Est. Class Sessions: 2–3
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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.A
Measure and estimate lengths in standard units. (2.MD.A.3)
2.MD.B
Relate addition and subtraction to length. (2.MD.D.6)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

This lesson reviews grouping by ones, tens, and hundreds with a focus on place value. Students model different partitions of a number into tens and ones using connecting cubes. They play the Not More Than 100 Game to practice partitioning.

Content in this Lesson

  • Estimating the quantities of objects in a group [E4].
  • Grouping and counting a collection of objects by ones, tens, and hundreds.
  • Representing quantities using connecting cubes and number sentences [E1].
  • Partitioning numbers into tens and ones and modeling with connecting cubes [E3].
  • Composing and decomposing numbers using ones, tens, and hundreds [E2].
  • Reading and writing numbers [E5].
  • Making connections between place value concepts and representations of numbers with connecting cubes, number sentences, and symbols [E6].
  • Recognizing that different partitions of a number have the same total [E7].
  • Checking for reasonableness [MPE3].
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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 Students

assortment of connecting cubes
calculator

Materials for the Teacher

Display of Tens and Ones Recording Chart Master (Teacher Guide)
Display of Not More Than 100 Game (Student Activity Book) Pages 241–244
Unit 5 Assessment Record
Math Facts Class Record
large rubber bands or gallon resealable bag
collection of connecting cubes (500–1000). See Materials Preparation.
2 resealable bags—one with ten cubes, one with 100 cubes. See Materials Preparation.
chart paper
clear plastic spinners or paper clips and pencils, optional

Materials Preparation

Prepare Connecting Cubes. Prepare two bags of connecting cubes using resealable plastic bags. Place 10 cubes in one bag and 100 in the other. Label the bags. Students will use these small collections of cubes as referents when making their estimates. Put together a collection of 500–1000 individual cubes for the class count.

Prepare Optional Targeted Practice. Make copies of the Fifty Wins Game Masters to place in a center with clear plastic spinners or pencils and paper clips, and sets of 100 connecting cubes. In addition, copies of Not More Than 100 Game pages can be made to place in a center with spinner materials and 100 connecting cubes per player.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
About How Many Cubes
with Feedback Box
Student Activity Book
Pages 237–238
E4. 
Estimate a quantity using 10 and 100 as benchmarks.
MPE2. 
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
MPE5. 
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
Tens and Ones
Check-In: Question 4
Student Activity Book
Page 240
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).
DPP Item I
Missing Addends
Teacher Guide - digital
E15. 
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group F.