# Topic 7 – Factors and Multiples

```2015-2016 Curriculum Blueprint
Course: Mathematics
Topic 7 – Factors and Multiples
Flexible Time
Line
6 days
Topic Overview
Students will be able to identify factors and multiples of whole numbers from 1 to 100 to determine if those numbers are prime or composite using strategies
such as arrays and patterns.
Vertical Progression
 Students develop fluency with basic multiplication and division facts. Students are given 2 factors in order to find a product. This work provided
essential background for understanding factors and multiples. Students relate multiplication to area (arrays can be used to find factors).
th
 Students will learn how to use common multiples to rewrite two fractions so that they will have a common denominator. Once the fractions have a
common denominator, they can be added or subtracted.
Learning Goal
Essential Questions
Students will be able to identify factors and multiples of whole numbers.
How can you use arrays or multiplication to find the factors of a
number? How can you identify prime and composite numbers?
Topic 7 Scale
How can you find multiples of a number?
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 factor
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
 multiple
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
 factor pairs
unit planning.
introduced in the context of solving a real problem in which
 generalize
ideas related to the new content are embedded. Conceptual
 prime number
understanding results because the process of solving a problem
Topic 7: Factors and Multiples
 composite number
requires
students
to
connect
their
prior
knowledge
with
the
new
Lesson 7-1: Understand Factors
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).
Lesson 7-2: Factors
Lesson 7-3: Math Practices and Problem Solving: Repeated
Each lesson in the book begins with a Solve and Share. See the
Reasoning
Lesson 7-4: Prime and Composite Numbers
Math Formative Assessment System (MFAS) Tasks by Standard
Lesson 7-5: Multiples
Step 2: “Visual Learning Bridge”
Enhance student learning by connecting student thinking and
solutions from the Solve and Share to the new ideas of the
lesson through the use of the worked-out problem in the
textbook.
Deconstructed Standards
MAFS.4.OA.2.4 (DOK 2) Investigate factors and multiples.
a) Find all factor pairs for a whole number in the range 1–100.
b) 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.
c) Determine whether a given whole number in the range 1–100 is prime or composite.
 Define prime and composite numbers.
 Know strategies to determine whether a whole number is prime or composite.
 Identify all factor pairs for any given number 1-100.
 Recognize that a whole number is a multiple of each of its factors.
 Determine if a given whole number (1-100) is a multiple of a given one-digit number.
 Evaluate if a given whole number (1-100) is a prime or composite number.
MAFS.4.NBT.2.5 (DOK 2) Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies
based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
 Multiply a whole number of up to four digits by a one-digit whole number.
 Multiply two two-digit numbers.
 Use strategies based on place value and the properties of operations to multiply whole numbers.
 Illustrate and explain calculations by using written equations, rectangular arrays, and /or area models.
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.8.1 Look for and express regularity with repeated reasoning.
Higher Order Questions &amp; Writing Connections
Georgia Units
Unit 2
*Higher order questions should be utilized to foster a deep, conceptual
 Factor Finding
understanding of the topic. Encouraging students to express their
 Prime vs. Composite
mathematical thinking in writing helps them solidify their learning.
NOTE: all of Georgia Unit 2 pertains to this Topic.
 What does it mean to factor?
 How do I identify prime numbers?
Engage New York Module 3
 How do I identify composite numbers?
Topic F, Lesson 22
 What is the difference between a prime and a composite number?
 How is skip counting related to identifying multiples?
www.pearsonrealize.com
 What is the difference between a factor and product?
Home-School Connection Page
 How do we know if a number is prime or composite?
Reteach to Build Understand Pages
 How can we determine whether a number is odd or even?
 How are factors and multiples defined?
Florida Interim Assessment Item Bank and Test Platform
Marzano Proficiency Scales Bank

Math Formative Assessment System (MFAS) Tasks by Standard
CPALMS -MFAS includes tasks and rubrics that the teacher can implement with
their students.


How will diagrams help us determine and show the products of twodigit numbers?
How can I effectively explain my mathematical thinking and
reasoning to others?
What patterns do I notice when I am multiplying whole numbers
that can help me?