Fraction Equivalence and Ordering

Lesson 4

Math

Unit 4

4th Grade

Lesson 4 of 15

Objective


Determine whether a given number is prime or composite.

Common Core Standards


Core Standards

  • 4.OA.B.4 — Find all factor pairs for a whole number in the range 1—100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1—100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1—100 is prime or composite.

Criteria for Success


  1. Understand that a prime number is a whole number that has exactly two factors, 1 and itself.
  2. Understand that a composite number is a whole number that can be written as a product of two whole numbers, neither of which is itself. 
  3. Determine whether a given number is prime or composite. 
  4. Understand 0 and 1 as special cases that are neither prime nor composite.

Tips for Teachers


Lesson Materials

  • Random number generator (1 per student) — These are needed for the Problem Set. Students can use any 1 of these materials: a ten-sided die, a spinner of digits 0-9, Digit Cards for 0-9, or an online random number generator
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Anchor Tasks


Problem 1

Ms. Cole also wants to set up the desks in her room in rows and columns. There are 23 desks in her classroom. What are the different ways she could make rows and columns with 23 desks? Draw arrays to represent the possible arrangements.

Guiding Questions

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Problem 2

A composite number is a whole number that can be written as a product of two whole numbers, neither of which is itself.

Is 28, the number of students in Mr. Duffy’s class from Lesson 3, a prime or composite number? How do you know? 

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 3 > Topic F > Lesson 22Concept Development

Grade 4 Mathematics > Module 3 > Topic F > Lesson 22 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

Determine whether each of the following numbers are prime or composite.

a.   74

b.   61

c.   49

d.   30

e.   2

f.   1

Guiding Questions

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Problem 4

In North America, we have a kind of cicada that only emerges from the ground every 17 years at the very end of its life cycle.

a.   If a cicada's predator has a life cycle of 1 year, how many generations of that predator would it take before it could prey on cicadas?

b.   If a predator’s life cycle was 2 years, how many generations would it take before it could prey on cicadas?

c.   What if the predator's life cycle was 3 years?

d.   5 years?

e.   Based on your answers to Parts (a)-(d), what kind of advantage does its 17-year life cycle give a cicada in the wild? 

Guiding Questions

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References

Yummy Math Cicada Swarmaggedon

Cicada Swarmaggedon by Brian Marks and Lesie Lewis is made available on YummyMath. Copyright © 2017 Yummy Math. All Rights Reserved. Accessed Jan. 8, 2018, 1:37 p.m..

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • Which numbers appeared most frequently in #4? What numbers did not appear at all?
  • Look at #5. What number did you use to prove that Bryan’s claim is false? Are there other numbers that would have worked? 
  • Do even or odd numbers have more prime numbers? Why?
  • Were each of the statements in #6 always, sometimes, or never true? 

Target Task


Determine whether the following numbers are prime or composite. Explain your reasoning.

a.   17

b.   46

c.   91

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

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Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

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Lesson 3

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Lesson 5

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Factors and Multiples

Topic B: Equivalent Fractions

Topic C: Comparing and Ordering Fractions

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