Explore Multiplication by Multidigit Numbers

Est. Class Sessions: 2–3

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.
MP3.: Construct viable arguments and critique the reasoning of others.
MP4.: Model with mathematics.
MP6.: Attend to precision.
MP7.: Look for and make use of structure.

Students explore strategies for multiplying multidigit numbers. They begin by developing their own strategies to solve problems and then they apply area models. This exploration leads to the development of methods that use rectangles and expanded form.

Content in this Lesson

Multiplying two-digit numbers by two-digit numbers using mental math and paper-and-pencil methods.
Representing and solving multiplication problems using rectangle models.
Inventing strategies for multiplication.
Using a rectangle array model to represent multiplication.
Using expanded form to solve multiplication problems.
Choosing appropriately from among mental math, estimation, and paper-and-pencil methods to find products [E6].
Multiplying multidigit numbers using mental math and paper-and-pencil methods (expanded form, rectangle model, all-partials, compact) [E4].

Daily Practice and Problems I–L

I. Number Sentences

J. What's the Number

K. Fact Families for Multiplication and Division for 9s

L. Making Change

Materials for Students

		Daily Practice and Problems	Lesson	Homework	Assessment
Student Books	Student Guide		Explore Multiplication by Multidigit Numbers Pages 172–176 Multidigit Multiplication Strategies Menu Reference	Explore Multiplication by Multidigit Numbers Homework Section Page 176 Multidigit Multiplication Strategies Menu Reference	Explore Multiplication by Multidigit Numbers Check-In: Q# 9–11 Page 176 Multidigit Multiplication Strategies Menu Reference
Student Books	Student Activity Book		How Many Squares? Pages 159-160 Using Rectangles to Multiply Pages 161–164
Teacher Resources	Teacher Guide - digital	DPP Item I DPP Item J DPP Item K DPP Item L	Half-Centimeter Grid Paper optional	Half-Centimeter Grid Paper optional	Explore Multiplication by Multidigit Numbers Check-In: Q# 9–11 Feedback Box

Supplies for Students

ruler

Materials for the Teacher

Display of How Many Squares (Student Activity Book) Pages 159–160
Display of Half Centimeter Grid Paper Master (Teacher Guide)
Display of Multidigit Multiplication Strategies Menu (Student Guide) Reference
Unit 4 Assessment Record
chart paper

Assessment in this Lesson

Assessment	Expectation Assessed	Math Practices Expectation Assessed
Explore Multiplication by Multidigit Numbers Check-In: Questions 9–11 Student Guide Page 176 with corresponding Feedback Box Teacher Guide - digital	E4. Multiply multidigit numbers using mental math and paper-andpencil methods (expanded form, rectangle model, all-partials, compact). E6. Choose appropriately from among mental math, estimation, and paper-and-pencil methods to find sums, differences, and products.	MPE2. Find a strategy. I choose good tools and an efficient strategy for solving the problem. MPE4. Check my calculations. If I make mistakes, I correct them.