Lesson 5

Two Paper-and-Pencil Methods

Estimated 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.B
Use place value understanding and properties of operations to add and subtract. (2.NBT.B.6, 2.NBT.B.7, 2.NBT.B.8, 2.NBT.B.9)
2.MD.B
Relate addition and subtraction to length. (2.MD.B.6)
2.OA.A
Represent and solve problems involving addition and subtraction. (2.OA.A.1)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.

In this lesson, students are introduced to two paper-and-pencil methods for adding two-digit numbers—the expanded form and the all-partials methods. Both methods build on the main idea that was introduced in Lesson 4, that each digit represents a number of tens or a number of ones.

Content in this Lesson

  • Using and applying place-value concepts to make connections among representations of numbers [E1].
  • Representing addition problems using base-ten pieces, number lines, and number sentences [E2].
  • Adding two-digit and three-digit numbers using mental math strategies (e.g., composing and decomposing numbers, counting on) using the 200 Chart, base-ten pieces, and number lines [E3].
  • Adding two-digit and three-digit numbers using paper-and-pencil methods (e.g., expanded form, all-partials) [E4].
  • Estimating sums using mental math strategies (e.g., rounding using benchmarks, using friendly numbers, composing and decomposing numbers, counting on) [E6].
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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

base-ten pieces (21 bits, 20 skinnies, 3–5 flats)

Materials for the Teacher

Unit 7 Assessment Record
Addition Strategies Chart from Lesson 2

Assessment in this Lesson

ASSESSMENT EXPECTATION ASSESSED MATH PRACTICES EXPECTATION ASSESSED
Three Students´ Work
Student Activity Book
Pages 345–346
E1.
Use and apply place value concepts to make connections among representations of numbers to the thousands using base-ten pieces, number lines, expanded form, and standard form.
E4.
Add two-digit and three-digit numbers using paper- and-pencil methods (e.g., expanded form, all-partials, compact).
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.