Lesson 4

Big Base-Ten Pieces

Est. Class Sessions: 3
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Mathematical Standards

4.NBT.A
Generalize place value understanding for multi-digit whole numbers. (4.NBT.A.1, 4.NBT.A.2)
4.NBT.B
Use place value understanding and properties of operations to perform multi-digit arithmetic. (4.NBT.B.6)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP6.
Attend to precision.
MP7.
Look for and make sense of structure.

Students develop flexibility composing and decomposing big numbers based on place value concepts. They use representations of base-ten pieces (shorthand and Base-Ten Pieces Recording Sheets) and hops on number lines. Students also construct proportional base-ten models for ten thousand, one hundred thousand, and one million based on the familiar size and shape relationships of base-ten pieces. These conceptual models help students visualize the powers of ten patterns in our place value system.

Content in this Lesson

  • Reading and writing large numbers (to the millions) [E1].
  • Comparing and ordering large number numbers (to the millions) [E2].
  • Representing large numbers (to the millions) using place value charts, number lines, and number sentences (e.g., 10,705 = 10,000 + 700 + 5) [E3].
  • Making connections between place value concepts and representations of numbers (to one million) with base-ten pieces, number lines, expanded form, and standard form [E4].
  • Recognizing that different partitions of the same number are equal (e.g., 10,000 + 700 + 5 = 10,000 + 600 + 90 + 15) [E3].
  • Solving division problems involving zero and justifying solutions [E8].
  • Recognizing the relationships in the place value of multidigit whole numbers [E4].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide
Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Students

envelope for Digit Cards 0–9
scissors

Supplies for Student Groups

Numbers from the Newswire display from Lesson 2. See Materials Preparation.
masking tape
meterstick

Materials for the Teacher

Display of Base-Ten Pieces Recording Sheet (Student Activity Book) Page 193
Display of Place Value Chart II Master (Teacher Guide)
Display of Big Base-Ten Pieces Recording Sheet Master (Teacher Guide)
Unit 6 Assessment Record
base-ten pieces for display
24 metersticks
4–8 centimeter rulers
masking tape
6–16 packs (base-ten pieces with 1000 cubes)
paper for covering the big base-ten pieces, optional

Materials Preparation

Large Numbers. Display a collection of a variety of large numbers. Use the collection students already gathered in Lesson 2 on the Newswire display or create your own collection.

Digit Cards. Copy and ask students to cut apart the Digit Cards 0–9 and place them in envelopes. Students should save these cards for use in Lesson 7 and then future units.

Materials for Big Base-Ten Pieces. Collect the metersticks and the packs that you will need. Cut large sheets of paper for covering the models.

Assessment in this Lesson

Assessment Expectation Assessed

Big Base-Ten Pieces
Check-In: Questions 12–14
Student Guide
Page 230
E1.
Read and write large numbers (to the millions).
E2.
Compare and order large numbers (to the millions).
E3.
Represent large numbers (to the millions) using place value charts, number lines, and number sentences (e.g., 10,705 = 10,000 + 700 + 5).
E4.
Make connections between place value concepts and representations of numbers (to one million) with base-ten pieces, number lines, expanded form, and standard form.

Draw, Place, and Read,
Observe students playing
Student Activity Book
Pages 201–202
E1.
Read and write large numbers (to the millions).

DPP Item I
Zero and Division
Teacher Guide - digital
E8.
Solve division problems involving zero and justify solutions.