Lesson 4

Compact Multiplication Revisited

Est. Class Sessions: 2
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Mathematics Standards

4.NBT.A
Generalize place value understanding for multi-digit whole numbers. (4.NBT.A.2, 4.NBT.A.3)
4.NBT.B
Use place value understanding and properties of operations to perform multi-digit arithmetic. (4.NBT.B.5)
4.OA.A
Use the four operations with whole numbers to solve problems. (4.OA.A.3)

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.
MP7.
Look for and make use of structure.

Students review the compact method of multiplication and then use it to multiply 2-digit by 2-digit numbers. They compare all paper-and-pencil methods and practice multiplication.

Content in this Lesson

  • Multiplying 2-digit by 2-digit numbers using mental math strategies and paper-and-pencil methods (e.g., expanded form, all-partials, compact) [E4, E5].
  • Demonstrating understanding of the place value concepts and mathematical properties involved in operations with multidigit numbers (e.g., using the distributive property to multiply) [E1].
  • Estimating products of multidigit numbers [E3].
  • Showing connections between models and strategies for multiplication [E2].
  • Choosing appropriately from among estimation, mental math strategies, and paper-and-pencil methods to multiply multidigit numbers [E6].
  • Writing the number sentences in the fact families for the last six facts [E8].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide
  • Compact Multiplication Revisited
    Check-In: Question 5
    Page 502
    and
    Check-In:
    Questions 19–20
    Page 506

Teacher Resources

 Teacher Guide - digital

Supplies for Each Student

My Multiplication Menu created in Lesson 2

Materials for the Teacher

Unit 11 Assessment Record

Math Facts Class Record

Assessment in this Lesson

Assessment Expectation Assessed
Compact Multiplication Revisited
Check-In: Question 5
Student Guide
Page 502
E1.
Demonstrate understanding of the place value concepts and mathematical properties involved in multiplication of 2-digit by 2-digit numbers (e.g., use the distributive property to multiply).
Compact Multiplication Revisited
Check-In: Questions 19–20
Student Guide
Page 506
E3.
Estimate products of multidigit numbers.
E4.
Multiply 2-digit by 2-digit numbers using mental math strategies and paper-and-pencil methods (e.g., expanded form, all-partials).
E5.
Multiply 2-digit by 2-digit numbers using the compact method.
Multiplication Quiz 2
with Feedback Box
Teacher Guide - digital
E1.
Demonstrate understanding of the place value concepts and mathematical properties involved in multiplication of 2-digit by 2-digit numbers (e.g., use the distributive property to multiply).
E2.
Show connections between models and strategies for multiplying 2-digit by 2-digit numbers (e.g., demonstrate partial products using a rectangle model for multiplication).
E3.
Estimate products of multidigit numbers.
E4.
Multiply 2-digit by 2-digit numbers using mental math strategies and paper-and-pencil methods (e.g., expanded form, all-partials).
E5.
Multiply 2-digit by 2-digit numbers using the compact method.
E6.
Choose appropriately from among estimation, mental math strategies, and paper-and-pencil methods to multiply multidigit numbers.
DPP Item M
Fact Family Quiz: Last Six Facts
Teacher Guide - digital
E8.
Determine the unknown number in a multiplication or division sentence relating three whole numbers for the last six facts.