Lesson 6

Workshop: Factors, Multiples, and Primes

Est. Class Sessions: 1–2
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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 choose targeted practice to further develop concepts of factors and multiples. Students also work on using rectangles and the break-apart products strategy to multiply and divide.

Content in this Lesson

  • Representing and solving multiplication and division problems using rectangular arrays [E1].
  • Determining whether one number is a multiple or factor of another number [E2].
  • Identifying prime numbers [E4].
  • Breaking products into the sum of simpler products to solve multiplication problems (applying the distributive property of multiplication over addition) [E9].
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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

square-inch tiles
clear plastic spinner or pencil with paper clip
ruler
crayons or markers

Materials for the Teacher

Display of Lee Yah's and Romesh's Floor Tiler grids (Student Guide) Page 88
Math Facts Class Record
Unit 3 Assessment Record

Materials Preparation

Spinners. If you do not have clear plastic spinners to place over the Spinners 1–4 and 1–10 page, students can use paper clips and pencils. Straighten out one end of the paper clip, and place a pencil through the curved end. Then, put the point of the pencil on the center of the spinner, and spin the paper clip around the pencil, using the straightened end as the pointer. See Figure 1.

Figure 1: Using a paper clip and pencil as a spinner

Assessment in this Lesson

Assessment Expectation Assessed
Workshop: Factors, Multiples, and Primes
Self-Check: Q# 1–2, 12–13, and 20–21
Student Activity Book
Pages 61, 70, and 74
E1.
Represent and solve multiplication and division problems using rectangular arrays.
E2.
Determine whether one number is a multiple of another 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).
DPP Item T
Multiplying by 0 and 1

Teacher Guide - digital
E7.
Solve multiplication problems using 0 and 1 as factors (applying the multiplication properties of 0 and 1).

Vocabulary in this Lesson