Lesson 8

Multiplication Number Sentences

Est. Class Sessions: 2
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Mathematical Standards

3.OA.A
Represent and solve problems involving multiplication and division. (3.OA.A.1, 3.OA.A.2, 3.OA.A.3)
3.OA.B
Understand properties of multiplication and the relationship between multiplication and division. (3.OA.B.5)
3.OA.C
Multiply and divide within 100. (3.OA.C.7)
3.OA.D
Solve problems involving the four operations, and identify and explain patterns in arithmetic. (3.OA.D.9)

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.
MP7.
Look for and make sense of structure.
MP8.
Look for and express regularity in repeated reasoning.

In Part 1, students complete open number sentences using their multiplication tables and the Patterns for Remembering the Facts chart. In Part 2, students complete Function Machines involving multiplication. For Part 3, students read Cipher Force!, a story about a team of four superheroes and their sidekick. The superheroes—Multiply by Zero, Divide by Zero, Add Zero, and Subtract Zero—embody basic operations with zero. Several silly adventures show what happens when you use these operations with zero.

Content in this Lesson

  • Completing open number sentences involving multiplication.
  • Recognizing that the equal sign represents the relationship between two equal quantities.
  • Using strategies to solve multiplication and division problems [E2, MPE2].
  • Representing multiplication and division problems with number sentences [E1].
  • Using the multiplication properties of 0 and 1 to solve multiplication problems [E3].
  • Using turn-around facts to solve multiplication problems [E4].
  • Demonstrating fluency with the multiplication facts for the 5s and 10s [E12].
  • Using patterns in tables to solve multiplication and division problems [E5].
  • Identifying and using properties and patterns in addition, subtraction, and multiplication with zero [E3] and [E5].
  • Understanding why division by zero is impossible.
  • Showing work [MPE5].
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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

desk number line (0–100)
My Multiplication Table completed in Lesson 5 or
Small Multiplication Tables from Lesson 5 (Teacher Guide)

Supplies for Student Groups

square-inch tiles
counters

Materials for the Teacher

Display of the Multiplication Table (Student Guide) Reference
Display of the 200 Chart (Student Guide) Reference
Display of Centimeter Grid Paper Master (Teacher Guide)
Patterns for Remembering the Facts chart developed in Lessons 3–6
Display of the Doubling Function Machine Master (Teacher Guide)
Unit 8 Assessment Record
Math Facts Class Record
Displays of counters and square-inch tiles
class number line (0–130)

Materials Preparation

Tools for Multiplication and Division. Gather and organize the following tools in a small container or bag for each small group of students: square-inch tiles, several copies of Centimeter Grid Paper, counters. Students will supplement these tools with their desk number line, the 200 Chart in the Student Guide Reference section, and the Small Multiplication Table distributed in Lesson 5.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Multiplication with 5s and 10s
Check-In: Questions 12–15
and corresponding
Feedback Box
Student Activity Book
Pages 300–301
E2.
Use strategies to solve multiplication and division problems (e.g., skip counting, repeated addition, repeated subtraction, reasoning from known facts, and invented).
E3.
Use the multiplication properties of 0 and 1 to solve multiplication problems.
E4.
Use turn-around facts to solve multiplication problems (applying the commutative property of multiplication).
E5.
Identify and use patterns to solve the multiplication facts for the 2s, 3s, 5s, 10s, 9s, and square numbers.
E6.
Break products into the sum of simpler products to solve multiplication problems (applying the distributive property of multiplication over addition).
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.

DPP Item CC
Multiplication: 5s and 10s
Teacher Guide - digital
E12.
Demonstrate fluency with the multiplication facts for the 5s and 10s.

Vocabulary in this Lesson