Lesson 5

Addition with Larger Numbers

Est. Class Sessions: 4
X

Mathematical Standards

3.NBT.A
Use place value understanding and properties of operations to perform multi-digit arithmetic. (3.NBT.A.1, 3.NBT.A.2)

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.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.

Students solve three- and four-digit addition problems. They begin by modeling addition with base-ten pieces. They then use paper-and-pencil methods, including both an all-partials algorithm and the compact algorithm. Students play the Digits Game for further computation practice and development of place value concepts.

Content in this Lesson

  • Making connections between place value concepts and representations of numbers to the thousands with base-ten pieces and standard form [E1].
  • Solving three- and four-digit addition problems using base-ten pieces, mental math, and paper-and-pencil methods (all-partials and compact) [E2], [E3], [E4].
  • Estimating sums to determine the reasonableness of solutions [E5], [MPE3].
  • Choosing appropriately from mental math and paper-and-pencil methods to add whole numbers.
X

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

scissors
envelope
Addition Strategies Menu from Lesson 4 (Student Activity Book) Page 187

Supplies for Student Pairs

set of base-ten pieces: 2 packs, 14 flats, 30 skinnies, and 50 bits

Materials for the Teacher

Display of Addition Strategies Menu Master from Lesson 4 (Teacher Guide)
Display of My Addition Strategies Menu for Larger Numbers Master (Teacher Guide)
Display of Addition Strategies Menu (Student Guide) Reference
Digit Cards 0–9 Master (Teacher Guide)
Math Facts Class Record
Unit 6 Assessment Record
Display set of base-ten pieces
chart paper

Materials Preparation

Prepare Sets of Digit Cards. Copy the Digit Cards 0–9 Masters and cut out the cards so that you have a set to use for classroom demonstration. Ask students to cut apart the Digit Cards 0–9 and store the digit cards in an envelope. Each group will need a set during the lesson, and each student will need a set to use at home. Store these sets in a safe place for use in the next lesson and later units.

Assessment in this Lesson

Assessment Expectation Assessed Math Practice Assessed

Addition with Larger Numbers
Check-In: Questions 6–11
Student Guide
Page 144
and corresponding
Feedback Box
Teacher Guide - digital
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.
E3.
Add multidigit numbers using mental math strategies (e.g., composing and decomposing numbers, counting up).
E4.
Add multidigit numbers using paper-and-pencil methods (e.g., expanded form, all-partials, compact).
E5.
Estimate sums using mental math strategies (e.g., rounding using benchmarks, using convenient numbers, composing and decomposing numbers, counting up, and counting back).
MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

Problem Solving
Check-In: Question 5
Student Activity Book
Page 196
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 multidigit numbers using paper-and-pencil methods (e.g., expanded form, all-partials, and compact).
E5.
Estimate sums using mental math strategies (e.g., rounding using benchmarks, using convenient numbers, composing and decomposing numbers, counting up, and counting back).
MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE4.
Check my calculations. If I make mistakes, I correct them.

Addition Quiz
with Feedback Box
Teacher Guide - digital
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.
E2.
Represent and solve addition problems using base-ten pieces and number lines.
E3.
Add multidigit numbers using mental math strategies (e.g., composing and decomposing numbers, counting up).
E4.
Add multidigit numbers using paper-and-pencil methods (e.g., expanded form, all-partials, and compact).
E5.
Estimate sums using mental math strategies (e.g., rounding using benchmarks, using convenient numbers, composing and decomposing numbers, counting up, and counting back).
MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

DPP Item V
Story Solving
Teacher Guide - digital
E8.
Use fact strategies, drawings, and number sentences to solve word problems involving multiplication facts for the 9s.