What your student should know & do at home
• 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)
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
I dentity property multiplication: a × 1 = 1 × a = a
Distributive property of multiplication: a × (b + c) = (a × b) + (a × c)
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)
Number of Pumpkins Picked
TREVOUR
BARBARA
QUENTIN
JOSH
MARVIN
KEY
= 4 PUMKINS
(adapted from Georgia Standards Frameworks Grade 3 Unit 2)
.

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
What your student should know & do at home
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
Grandfather Tang’s Story by Ann Tompert oral reading on YouTube
The Grapes of Math by Greg Tang