Free Trial  Member Benefits  Sign In Jun 20, 2013Search:
• Select a Country Please select your location to view
the most relevant content for you.
##### FREE Lesson Plan - 1st of 3 Free Items

View 2 more resources at no cost, and then subscribe for full access.

|

# Exploring Multiplication Patterns

Grade Levels: 3 - 5

INTRODUCTION

This lesson enables students to begin the process of mastering multiplication facts. Students will learn to use patterns and property theories as strategies for recalling those facts.

OBJECTIVES

Students will:

• develop computational fluency by exploring patterns in multiplication for products involving one-digit factors.
• understand and use the zero property for multiplication and the property of one as a factor in multiplication.

SUGGESTED TIME ALLOWANCE

This lesson can be divided into two or three smaller lessons, each lasting about 20-25 minutes.

MATERIALS

Student: Crayons or markers, Hundred Chart , Doubles Worksheet [Answer Key], Independent Practice Worksheet [Answer Key], Multiplication Table [Answer Key].

Teacher: Teacher’s Chart of multiplication patterns to be printed as an overhead transparency or copied onto the board.

PROCEDURES

1. Introduce key vocabulary: multiple, factor, product, double.
2. Display the Teacher’s Chart an overhead transparency, or copy it onto the board. Hand out copies of the Hundred Chart.
3. Have students count by 2s, shading multiples of 2 yellow on their hundred chart. Ask them to examine the numbers carefully. Ask:
• What patterns do they notice? (The multiples of 2 are even and always end in 0, 2, 4, 6 or 8.)
1. Have students count by 5s, circling the multiples of 5 with a blue marker on their number charts. Ask:
• What patterns do they notice? (The multiples of 5 end in 5 or 0).
1. Model your thinking:
• When I look at the multiples of both 2 and 5, I see that they all end in zero. It’s like counting by 10s. I notice that 2 x 5 is 10.
1. Have the students count by 9s on the number chart. Write out the multiplication sentences and answers on the chalkboard (9 x 1 = 9, 9 x 2 = 18, and so on) and ask students to find a pattern and discuss what they find.
• (The sum of the product’s digits is 9. The tens digit is 1 less than the other factor. Make it clear that they will have to memorize the 9s, but that these patterns may help them remember and can be used to verify the products.)
1. Have students look at their charts and find:
• the multiples that 2 and 9 have in common (18, 36, 54, 72, 90, and so on).
• the multiples that 2 and 5 have in common (10, 20, 30, 40, 50, and so on).
• the multiples that 5 and 9 have in common (45, 90).
1. Ask students what would happen if they shaded in all the multiples of 1 on their charts. (They should soon realize that they’d be shading in everything.) Articulate the property of one:
• The product of a number and 1 is that same number.
• Every number is a multiple of 1 and itself.
1. To illustrate, ask several easy questions to the class at large. What is 8 x 1? What is 9 x 1? Get increasingly harder: What is 52 x 1? What is 1 million x 1?)
2. Ask students to think about multiplying with zero in terms of repeated addition. What is 0 + 0? What is 3 x 0? What is 52 x 0? What is 1 million x 0? Help students to determine the zero property for multiplication:
• the product of a number and 0 is 0.
1. Ask students to name the double of 2 (2 x 2 = 4). Share the following problem:
• For his family reunion Ariel wants to make 2 lemon pies that use 5 lemons each. How many lemons should he buy? (2 x 5 =10). Then he remembers that his Uncle Bob loves lemons and is likely to eat 2 pies all by himself. Ariel better make 4 pies! How many lemons will he need to make 4 pies that require 5 lemons each?
1. Explain to students that they can arrive at the answer through the idea of the double. Example:

2 x 5 = 10

4 x 5 = 10 + 10

4 x 5 = 20

• Because 4 is the double of 2, the product of any number multiplied by 4 will be double the product of that same number multiplied by 2.

1. Ask the students to name other doubles with which this technique might work, such as
• 4 x 2 = 8 and 4 x 6 = 24.
• 4 x 6 = 24

8 x 6 = 24 + 24

• 4 x 2 = 8 and 4 x 7 = 28.
• 4 x 7 = 28

8 x 7 = 28 + 28

• 4 x 2 = 8 and 4 x 8 = 32
• 4 x 8 = 32

8 x 8 = 32 + 32

1. Hand out the Doubles Worksheet that develops the concept of the double and complete it with your students until the pattern is clear. Answer Key
2. Hand out one or more of the Independent Practice Worksheet for students to practice finding the product. Answer Key

ASSESSMENT

• Have each student answer the Assessment Questions .
• Review multiplication facts daily, using patterns and properties for recalling those facts that are not yet automatic.
• Students should be able to:
• recognize patterns in multiplication for products involving one-digit factors.
• understand and use the zero property for multiplication and the property of one as a factor in multiplication.
• understand and use the technique of the double to solve for more difficult products.
• know multiplication facts by using the patterns of factors 2, 5, and 9.
• Checking for automaticity should be ongoing and can be as simple as calling out facts for individuals to give products as quickly as they can. This can be done while standing in the cafeteria line or during other windows that occur in a typical school day. A variety of games can be used as tools to assess students and promote memorization.

EXTENSION ACTIVITIES

Visit these sites for more Web resources:

Multiplication games from A+ Math
http://aplusmath.com/Games/index.html

Math in literature. Lists books with multiplication themes
http://archon.educ.kent.edu/Oasis/Resc/Educ/mathkidslit.html

Multiplication flashcards
http://aplusmath.com/Flashcards/multiplication.html

NCTM STANDARDS CORRELATIONS

National Council of Teachers of Mathematics

• Number and Operations: Develop fluency in multiplying whole numbers; develop and use strategies to estimate the results of whole-number computations and to judge the reasonableness of such results; understand and use properties of operations.

End-of-the-Year Resources
The end of the school year is quickly approaching! Celebrate with fun activities, then prepare yourself and your students with report card advice, summer reading guides, summer math, and more.

Common Core Lessons & Resources
Is your school district adopting the Common Core? Work these new standards into your curriculum with our reading, writing, speaking, social studies, and math lessons and activities. Each piece of content incorporates the Common Core State Standards into the activity or lesson.

Top 10 Galleries
Explore our most popular Top 10 galleries, from Top 10 Behavior Management Tips for the Classroom and Top 10 Classroom Organization Tips from Veteran Teachers to Top 10 Free (& Cheap) Rewards for Students and Top 10 Things Every Teacher Needs in the Classroom. We'll help you get organized and prepared for every classroom situation, holiday, and more! Check out all of our galleries today.

June Calendar of Events
June is full of holidays and events that you can incorporate into your standard curriculum. Our Educators' Calendar outlines activities for each event, including: Summer Begins (6/21), Helen Keller's Birthday (6/27/1880), World War I Began (6/28/1914), and Meteor Day (6/30). Plus, celebrate Child Vision Awareness Month, National Rivers Month, and National Safety Month all June long!

Causes We Support: We Give Books
Visit We Give Books, an ever-growing, free online library of children's picture books! For every book read on the site, a brand-new book will be donated to a children's literacy campaign of your choosing. Read aloud to students or encourage them read independently, and you'll teach them to help others at the same time. Giving is as simple as reading!

Join TeacherVision
for \$39.95 a year and start receiving benefits today!

TEACHER NEWSLETTERS

Sign up today to receive timely, popular, and free classroom resources!

Free 7-Day Trial for TeacherVision®

Sign up for a free trial and get access
to our huge library of teaching materials!

##### stay connected
 | About TeacherVision®, part of Family Education Network | Site Map | Press Releases | FAQs | Contact Us Link to Us | Advertise | Privacy | Terms of Use | Cancellation Policy Teacher Resources | Online Gradebook | Parenting | Reference Site | Homework Help | K-8 Kids | Poptropica © 2000-2013 Pearson Education, Inc. All Rights Reserved.