Download Math Grade 3 Unit 3 Properties of Multiplication and Division Parent

Math Grade 3 Unit 3
Properties of Multiplication
and Division
“I Can” Help My Student
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I can use the commutative, associative, and identity properties
to help me multiply and divide (3.OA.5)
I can explain the inverse relationship between multiplication
and division (3.OA.6)
I can use my multiplication facts to solve division facts (3.OA.7)
I can create a bar, line, and/or pictograph and answer
multiplication and division questions about it (3.MD.3)
I can use markings on a ruler to measure whole number, halves
and quarters accurately on a horizontal line plot (3.MD.4)
Key Words to Know
Multiplication: Multiplication of two numbers is the repeated
addition of one number to the number of times equal to the other
number.
Factor: The numbers multiplied in a multiplication equation.
Product: The result obtained after multiplying two or more
numbers is called the product
Division: Division is an operation that tells us the number of
groups that can be made out of a number of items or the number
of items that should be there in a group.
Dividend: In a division problem, the number that is to be divided is
called the dividend In the division number sentence 8 ÷ 2 = 4, 8 is
the dividend.
Divisor: In a division number sentence, the number that divides
the dividend is called the divisor.
In the division number sentence 8 ÷ 2 = 4, 2 is the divisor.
Quotient: Upon division, the number obtained other than the
remainder is called the quotient.
In the division number sentence 8 ÷ 2 = 4, 4 is the quotient.
Associative property of multiplication: (a × b) × c = a × (b × c)
Commutative property of multiplication: a × b = b × a
Identity property multiplication: a × 1 = 1 × a = a
Distributive property of multiplication: a × (b + c) = (a × b) + (a × c)
Parent Guide
What your student should know & do at home
Important Understandings and Concepts
What should my student already know before I begin…..
• Relationship between addition and multiplication
• Understanding of arrays
• Solving one-step word problems
• Properties of Multiplication (Commutative, Associative, Identity)
Learning at a Glance
Students must understand the properties of multiplication. Although students do not need
to know the properties by name, it is essential to understand how these properties work.
Students can build their own understanding of these properties when given multiple
opportunities to experience them and build generalizations. (3.OA.5)
Students need to recognize that multiplication is finding an unknown product and division is finding
an unknown factor. Experiencing different strategies for finding solutions to problems involving
multiplication and division allows students to recognize that multiplication and division are inverse
operations.
Students are to draw picture graphs in which a symbol or picture represents more than one
object. Bar graphs are drawn with intervals greater than one. Ask questions that require
students to compare quantities and use mathematical concepts and skills. (3.MD.3)
(3.MD.4)
TREVOUR
Number of Pumpkins Picked
BARBARA
QUENTIN
JOSH
MARVIN
KEY
= 4 PUMKINS
(adapted from Georgia Standards Frameworks Grade 3 Unit 2)
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Math Grade 3 Unit 3
Properties of Multiplication
and Division
Sample Problems
What your student should know & do at home
How Can You Help Your Student?
Sample Problem 1: (3.OA.5)
The associative property states that the sum or product stays the same
when the grouping of addends or factors is changed.
Example: A farmer has 4 fields. In each field are 3 rows with 2 trees in
each. How many trees are there in all?
Possible Solutions:
Student 1: 4 x (3 x 2) 3 x 2 = 6 4 x 6 = 24 24 trees
Student 2: (4 x 3) x 2 4 x 3 = 12 12 x 2 = 24 24 trees
Sample Problem 2: (3.OA.6)
A student knows that 2 x 9 = 18. How can they use that fact to
determine the answer to the following question: 18 people are divided
into pairs in P.E. class? How many pairs are there? Write a division
equation and explain your reasoning.
Solution(s):
Because multiplication and division are inverse operations, we can
conclude that there are 9 pairs of groups in the class.
If 2 X 9 = 18 Then, 18 ÷ 2 = 9.
Recommended Children’s Literature
The use of children’s literature is equally important as problems and deserves
some attention. Use these books to integrate and enhance both language
literacy and mathematical literacy for an interdisciplinary connection during
story time. These books can be checked out at your local Atlanta-Fulton Public
Library System. www.afpl.web
Grandfather Tang’s Story
by Ann Tompert
oral reading on YouTube
Parent Guide
The Grapes of Math
by Greg Tang
Interactive Learning Lessons
Your student can watch the videos alone or with you. Have your student take notes
while watching. Allow them to watch as many times as needed.
http://learnzillion.com/lessonsets/226 (Using multiplication and division properties)
http://learnzillion.com/lessonsets/341 (Multiplication and Division Inverse property)
http://learnzillion.com/lessonsets/302 (Multiplication and Division Fact Fluency)
Interactive Learning Games
Playing games is a wonderful way to practice skills at home in a fun environment.
Sum Sense Multiplication: http://www.oswego.org/ocsdweb/games/SumSense/summulti.html
Product Game: http://illuminations.nctm.org/Activity.aspx?id=4213
Primary Krypto: http://illuminations.nctm.org/Activity.aspx?id=4213
Are You a Mathemagician? http://www.oswego.org/ocsdweb/games/Mathmagician/mathsmulti.html
This excellent resource has students create a tally chart, bar graph, and picture graph
right on-line.
http://www.kidsmathgamesonline.com/mathdata.swf
Stack-n-Pack books contain several math games covering math concepts from
Kindergarten through High School. Stack-n-Pack card games may be checked out from
your school (contact your school’s Parent Liaison) or purchased online: Stack-n-Pack
Mathematics Card Games for K-HS .
Stack-n-Pack Grades 3 - 5
• Multiplication Facts game
• Addition and Multiplication Properties game