Curriculum / Math / 4th Grade / Unit 4: Fraction Equivalence and Ordering / Lesson 3
Math
Unit 4
4th Grade
Lesson 3 of 15
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Find factor pairs for numbers to 100 and recognize that a whole number is a multiple of each of its factors.
The core standards covered in this lesson
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.
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Mr. Duffy wants to set up the desks in his room in rows and columns. There are 28 desks in his classroom. What are the different ways he could make rows and columns with 28 desks? Draw arrays to represent the possible arrangements.
a. Find all of the factors of 98.
b. How can you be sure your list is exhaustive? In other words, how can you be sure there are no other factors that you haven’t listed?
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..
a. Find all of the factors of 60.
b. Find all of the numbers that have 60 as a multiple.
c. What do you notice about both of your lists above? What do you wonder?
A restaurant is open 24 hours a day. The manager wants to divide the day into work shifts of equal length. Show the different ways this can be done. The shifts should not overlap, and all shifts should be a whole number of hours long.
Operations and Algebraic Thinking: Number Puzzles Grade 4 Formative Assessment Lesson is made available by the Kentucky Department of Education under the CC-BY 4.0 license. Accessed Jan. 8, 2018, 1:28 p.m..
Problem Set
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Find all the factors of each of the following numbers.
a. 16
b. 30
c. 63
Complete the following:
a. List the numbers that have 42 as a multiple.
b. What are the factors of 42?
c. Are your two lists the same? Why or why not?
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Lesson 2
Lesson 4
Topic A: Factors and Multiples
Identify multiples and determine if a whole number is a multiple of another number.
4.OA.B.4
Explore patterns in multiples of various whole numbers.
Determine whether a given number is prime or composite.
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Topic B: Equivalent Fractions
Recognize and generate equivalent fractions with smaller units using tape diagrams.
4.NF.A.1
Recognize and generate equivalent fractions with smaller units using number lines.
Recognize and generate equivalent fractions with smaller units using area models.
Recognize and generate equivalent fractions with smaller units using multiples.
Recognize and generate equivalent fractions with larger units using visual models.
Recognize and generate equivalent fractions with larger units using factors.
Topic C: Comparing and Ordering Fractions
Compare two fractions where one numerator or denominator is a factor of the other by replacing one fraction with an equivalent one.
4.NF.A.2
Compare two fractions by replacing both fractions with equivalent ones.
Compare two fractions using one whole as a benchmark.
Compare two fractions using one half as a benchmark.
Compare and order fractions using various strategies.
4.NF.A
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