Lesson 4

Paper-and-Pencil Multiplication

Est. Class Sessions: 2
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Mathematical Standards

5.NBT.B
Perform operations with multidigit whole numbers and with decimals to hundredths. (5.NBT.B.5)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP4.
Model with mathematics.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students explore the relationship between place value and multiplication. Students develop two paper-and-pencil strategies for multidigit multiplication—the all-partials method and the compact method.

Content in this Lesson

  • Multiplying multidigit numbers using mental math and paper-and-pencil methods (all-partials, compact) [E4].
  • Demonstrating understanding of the place value concepts and mathematical properties involved in multiplication of multidigit numbers [E1].
  • Showing connections between models and strategies for multiplication (e.g., demonstrate partial products using a rectangle model for multiplication) [E2].
  • Estimating products to check the reasonableness of answers [E5].
  • Estimating sums, differences, and products [E5].
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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

Materials for the Teacher

Materials Preparation

Prepare Cards for Digits Game. Make sets of Digit Cards 0–9 using index cards, a deck of cards, or the Digit Cards 0–9 Masters. If using playing cards, the ace can stand for 1 and a face or joker can stand for zero.

Assessment in this Lesson

Assessment Expectation Assessed

Paper-And-Pencil Multiplication
Check-In: Question 19
Student Guide
Page 185
E4.
Multiply multidigit numbers using mental math and paper-and-pencil methods (expanded form, rectangle model, all-partials, compact).
E5.
Estimate sums, differences and products.

All-Partials Multiplication
Student Activity Book
Pages 165–166
E2.
Show connections between models and strategies for multiplication (e.g., demonstrate partial products using a rectangle model for multiplication).