Lesson 5

Break-Apart Products

Est. Class Sessions: 2
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Mathematical Standards

4.NBT.B
Use place value understanding and properties of operations to perform multi-digit arithmetic. (4.NBT.B.5, 4.NBT.B.6)
4.OA.B
Gain familiarity with factors and multiples. (4.OA.B.4)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason abstractly and quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP8.
Look for and express regularity in repeated reasoning.

Students break products into the sum of simpler products. For example, 6 × 12 is broken into (6 × 10) + (6 × 2). They draw a rectangular array on grid paper to represent a product, divide the array into two smaller arrays that represent easier products, and add the easier products to get their answers. These activities help students develop an understanding of the distributive property of multiplication.

Content in this Lesson

  • Using arrays to solve multiplication problems [E1].
  • Breaking products into the sum of simpler products to solve multiplication problems (applying the distributive property) [E9].
  • Developing break-apart product strategies for multiplication facts [E9].
  • Using parentheses to show order of operations [E9].
  • Determining multiples of a number [E2].
  • Identifying prime numbers [E4].
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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

Display of Questions 1 and 2 on Exploring Break-Apart Products page (Student Activity Book) Page 53
Display of Questions 6 and 7 on the Exploring Break-Apart Products page (Student Activity Book) Page 56
Display of Writing Number Sentences for Break-Apart Products pages (Student Activity Book) Pages 59–60
Unit 3 Assessment Record

Assessment in this Lesson

Assessment Expectation Assessed
Break-Apart Products
Check-In: Questions 1–5
Student Guide
Pages 86–87
E9.
Break products into the sum of simpler products to solve multiplication problems (applying the distributive property of multiplication over addition).
Factors, Multiples, and Primes
with Feedback Box
Teacher Guide - digital
E1.
Represent and solve multiplication and division problems using rectangular arrays.
E2.
Determine whether one number is a multiple of another number.
E3.
Find the factors of a number.
E4.
Identify prime numbers.
E9.
Break products into the sum of simpler products to solve multiplication problems (applying the distributive property of multiplication over addition).