Lesson 7

A Different Sieve

Est. Class Sessions: 2
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Mathematical Standards

5.OA.A
Write and interpret numerical expressions. (5.OA.A.1, 5.OA.A.2)
5.OA.B
Analyze patterns and relationships. (5.OA.B.3)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students use the Sieve of Eratosthenes, first explored in Lesson 2, to find the prime numbers from 1 to 100 using a Six-Column 100 Chart. Students identify and write about the resulting patterns. Students apply their knowledge of primes and multiples to identify and describe number patterns.

Content in this Lesson

  • Identifying and describing number patterns [E3].
  • Identifying and categorizing prime, composite, and square numbers [E1].
  • Identifying and finding multiples of numbers [E2].
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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

  • 4 different colored crayons

Materials for the Teacher

Materials Preparation

Student Work Samples. Prepare copies of student work for students to review in Part 2. Each student pair will need work from one student to review. There are student work samples provided as Masters. To efficiently review work from more than one student, have different students review different pieces of student work. For example, ask half the class to review Jona's work and the other half of the class to review Margo's work.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

A Different Sieve
Student Guide
Page 449
and corresponding Feedback Box
Student Activity Book
Pages 373–374
E1.
Identify and categorize prime, composite, and square numbers.
E2.
Identify and find multiples of numbers.
E3.
Identify and describe number patterns.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

DPP Task V
Finding Factors
Teacher Guide - digital
E1.
Identify and categorize prime, composite, and square numbers.
E5.
Find all the factors of a number for numbers between 1 and 100.
E6.
Find the prime factorization of a number.