Lesson 7

Workshop: Place Value Concepts

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.NBT.A.4)
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.B.6)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.

Students practice representing numbers as hundreds, tens, and ones and comparing and ordering numbers using those representations. This Workshop lesson provides opportunities for students to revisit concepts, apply concepts, or extend their learning.

Content in this Lesson

  • Representing two-digit and three-digit numbers using base-ten pieces, number lines, and symbols [E1].
  • Composing and decomposing numbers using ones, tens, and hundreds [E2].
  • Showing and recognizing different partitions of numbers using different representations (base-ten pieces, number lines, and number sentences) [E3].
  • Making connections between place value concepts and representations of numbers (e.g., base-ten pieces, number lines, number sentences, and symbols) [E4].
  • Recognizing that different partitions of a number have the same total (e.g., 50 + 4 = 40 + 14) [E5].
  • Estimating a quantity using benchmarks [E6].
  • Comparing and ordering three-digit numbers using base-ten pieces and a number line [E8].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Students

envelope to store the Digit Cards
scissors

Materials for the Teacher

Display of the Show Me the Number Recording Sheet on Show Me the Number Masters (Teacher Guide), 2–4 copies

Display of Take Your Places Please (Student Activity Book) Pages 303–306

Display of the Show Me the Number Spinners on the Show Me the Number pages Master (Teacher Guide)

4–5 sets of the Digit Cards 0–9 Master (Teacher Guide). See Materials Preparation.

Display of Place Value Workshop Menu (Student Activity Book) Page 309

Number Order from Lesson 5 (Student Activity Book) Pages 297–298. See Materials Preparation.

Sets of Number Representation Cards from Lesson 5 in envelopes or resealable plastic bags (Teacher Guide). See Materials Preparation.

Display set of the Number Representation Cards from Lesson 5 (Teacher Guide). See Materials Preparation.

Unit 6 Individual Assessment Record

Unit 6 Assessment Record

Math Facts Class Record

3–4 clear spinners or pencils and paper clips

sets of base-ten pieces (30 bits, 10–15 skinnies, and 3–4 flats)

chart paper

Materials Preparation

Prepare Sets of Number Representation Cards. If you did not do so in Lesson 5, copy and cut apart sets of the Number Representation Cards Masters for each pair of students and place them in an envelope or resealable bag. Students will use these cards for several activities in this lesson. You may want to copy these cards on heavier paper.

Prepare a Display Set of the Number Representation Cards. If you did not do so in Lesson 5, copy and cut apart a set of the Number Representation Cards Masters for display use.

Prepare 2 Display Sets of Digit Cards. Copy and cut apart 2 sets of digit cards from the Digit Cards 0–9 Master to use to demonstrate the Take Your Places Please game. You can then place these sets in the learning center.

Prepare Materials for Learning Centers. Students will have access to several different learning center activities in this lesson. Make a sign to identify each center activity. Decide how many students will visit a center at one time. Prepare the following materials for each activity accordingly and place them in a learning center.

  • Show Me the Number: clear plastic spinners, 30 bits and 10–15 skinnies, copies of the spinners, and several copies of the recording sheet on the Show Me the Number Masters.

  • Take Your Places Please: 1 set per player of Digit Cards 0–9 Master cut apart and placed in an envelope or resealable bag, Take Your Places Please Digit Mat and Take Your Places Please Recording Sheet on the Take Your Places Please pages in the Student Activity Book. Students will use the set from their Student Activity Book for homework.

  • Show Another Way: sets of base-ten pieces (30 bits, 10–15 skinnies, and 3–4 flats), and the Show Another Way pages students will bring from their Student Activity Book.

  • Compare Them: prepared sets of Number Representation Cards Masters from Lesson 5.

  • Number Order: prepared sets of the Number Representation Cards Masters from Lesson 5 and the Game Board from the Number Order pages in Lesson 5. Copies should be made if the Student Activity Book pages were not collected.

  • Compare and Order: sets of base-ten pieces (30 bits, 10–15 skinnies, and 3–4 flats) and the Compare and Order pages students will bring from their Student Activity Book.

Assessment in this Lesson

Assessment Expectation Assessed
Place Value Workshop Menu
Self-Check
Student Activity Book
Page 309
E1.
Represent 2-digit and 3-digit numbers using base-ten pieces, number lines, and symbols.
E2.
Compose and decompose numbers using ones, tens, and hundreds.
E3.
Show and recognize different partitions of numbers using different representations (base-ten pieces, number lines, number sentences).
E4.
Make connections between place value concepts and representations of numbers (e.g., base-ten pieces, number lines, number sentences, symbols).
E5.
Recognize that different partitions of a number have the same total (e.g., 50 + 4 = 40 + 14).
E6.
Estimate a quantity using 10 and 100 as benchmarks.
E8.
Compare and order three-digit numbers using base-ten pieces and number line.
Show Another Way
with Feedback Box
Student Activity Book
Pages 311–314
E1.
Represent 2-digit and 3-digit numbers using base-ten pieces, number lines, and symbols.
E2.
Compose and decompose numbers using ones, tens, and hundreds.
E3.
Show and recognize different partitions of numbers using different representations (base-ten pieces, number lines, number sentences).
E4.
Make connections between place value concepts and representations of numbers (e.g., base-ten pieces, number lines, number sentences, symbols).
E5.
Recognize that different partitions of a number have the same total (e.g., 50 + 4 = 40 + 14).
Compare and Order
Student Activity Book
Pages 315–316
E6.
Estimate a quantity using 10 and 100 as benchmarks.
E7.
Use words and symbols (e.g., <, >, =) to show comparisons of quantities.
E8.
Compare and order three-digit numbers using base-ten pieces and number line.
DPP Item U
Addition Facts Quiz: Group D
Teacher Guide - digital
E10.
Demonstrate fluency with the addition facts in Group C (1 + 9, 2 + 7, 2 + 8, 2 + 9, 3 + 6, 3 + 7, 3 + 8, 4 + 6, 4 + 7, 5 + 5, 5 + 6) and Group D (3 + 3, 3 + 4, 4 + 4, 4 + 5, 6 + 6, 6 + 7, 7 + 7, 7 + 8, 8 + 8, 10 + 9, 10 + 10).
DPP Item V
Related Subtraction Facts
Teacher Guide - digital
E11.
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Groups C and D.