exploring multiplication patterns miss key’s third grade math class

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EXPLORING MULTIPLICATION PATTERNS Miss Key’s Third Grade Math Class

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EXPLORING MULTIPLICATIO

N PATTERNSMiss Key’s Third Grade

Math Class

INTRODUCTION

This lesson enables students to

begin mastering their

multiplication facts.

Students will learn to use

patterns and property theories as

strategies for recalling those

facts.

If you have any questions while learning,

this lesson, pleaseeither come see me or

raise your hand.

THE MULTIPLICATION TABLES VIDEO

../Desktop/multiplication-2--the-multip

lication-tables.htm

INDIANA STATE STANDARD

3.OA.1: Interpret

products of whole

numbers, e.g., interpret 5

× 7 as the total number of

objects in 5 groups of 7

objects each. For example,

describe a context in which

a total number of objects

can be expressed as 5 × 7.

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.

Crayons or

markers.

Hundred Chart.

Doubles Worksheet.

Multiplication

Table.

MATERIALS NEEDED

MULTIPLICATION VOCABULARY

Multiple – a number that contains another number an integral number of times without a remainder

• Example: 12 is a multiple of 3

Factor – one of two or more numbers, algebraic expressions, or the like, that when multiplied together produce a given product; a divisor

• Example: 6 and 3 are factors of 18

Product – the result obtained by multiplying two or more quantities together

Double – twice the amount or multiplied by two

FACTORS & MULTIPLES VIDEO

../Desktop/divisibility-tests-for-2--3--4-

-5--6--9--10%20(1).htm

HUNDRED CHARThttp://www.teachervision.fen.com/tv/printables/scottfor

esman/Math_4_TTT_9.pdf• Count by 2s, shading multiples of 2 in yellow.

Examine the numbers carefully.• Ask:

• What patterns do you notice? (Hint: Are the multiples of 2 even or odd? What do they always end in?)

• Now count by 5s, circle the multiples of 5 with a blue marker on your number charts

• Ask:• What patterns do you notice? (Hint: What do

the multiples of always end in?)• What do you see when you look at the multiples of

2 & 5? What do they all end in?

HUNDRED CHART CONT .

Now count by 9s. Find a pattern and discuss the pattern you found with your group.

Find on your chart:• The multiples that 2 & 9 have in common• The multiples that 2 & 5 have in common• The multiples that 5 & 9 have in common

What would happen if you shaded in all the multiples of 1 on the chart?

PROPERTY OF ONE FOR MULTIPLICATION

The product of a number and 1 is that

same number.

Every number is a multiple of one and

itself.

Examples:

8 x 1 = ? 9 x 1 = ? 52 x 1 = ?

1 million x 1 = ?

ZERO PROPERTY FOR MULTIPLICATION

The product of a number and 0 is 0.

Examples:

3 x 0 = ? 52 x 0 = ? 1

million x 0 = ?

NAME THE DOUBLE

Name the double of : 2(2 x 2 = 4)

For his family reunion Ariel wants to make 2

lemon pies that use 5 lemons each. How many

lemons should he buy? 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?

EXPLANATION OF NAME THE DOUBLE

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.

NAME OTHER DOUBLES

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

If you have any questions before starting

the quiz, pleaseeither come see me or

raise your hand.

MULTIPLICATION PATTERNS: QUIZ

Welcome to the quiz! Click the correct

answer for each of the following five questions!

If at any time you need or want to stop the

quiz, click the

Button.Click here to begin!

MULTIPLICATION PATTERNS: QUIZ

1. The result obtained by multiplying

two or more quantities together is

calleda. Multipleb. Factorc. Product d. Double

MULTIPLICATION PATTERNS: QUIZ

That is not the correct answer.

Click the button below to try

again.

MULTIPLICATION PATTERNS: QUIZ

Correct! Good job!

Next Question!

MULTIPLICATION PATTERNS: QUIZ

2. The product of a number and 1 is

what number?a. 1b. that same numberc. 10d. 0

MULTIPLICATION PATTERNS: QUIZ

That is not the correct answer.

Click the button below to try

again.

MULTIPLICATION PATTERNS: QUIZ

Correct! Good job!

Next Question!

MULTIPLICATION PATTERNS: QUIZ

3. What is the product of 1,000 x 0?a. 1,000b. 1c. 0d. 100

MULTIPLICATION PATTERNS: QUIZ

That is not the correct answer.

Click the button below to try

again.

MULTIPLICATION PATTERNS: QUIZ

Correct! Good job!

Next Question!

MULTIPLICATION PATTERNS: QUIZ

4. Can you name the double of 4 x 7?a. 4 x 8b. 9 x 8c. 8 x 7d. 9 x 7

MULTIPLICATION PATTERNS: QUIZ

That is not the correct answer.

Click the button below to try

again.

MULTIPLICATION PATTERNS: QUIZ

Correct! Good job!

Next Question!

MULTIPLICATION PATTERNS: QUIZ

5. Name two factors of 18.a. 6 and 3b. 5 and 4c. 3 and 7d. 6 and 8

MULTIPLICATION PATTERNS: QUIZ

That is not the correct answer.

Click the button below to try

again.

MULTIPLICATION PATTERNS: QUIZ

Correct! Good job!

Next Question!

MULTIPLICATION PATTERNS: QUIZ

CONGRATS!!!!YOU HAVE

COMPLETED THE QUIZ!!!!

If you have any questions, please

either come see me orraise your hand.

EXTRA PRACTICE

Multiplication games from A+ Math:• http://

aplusmath.com/Games/index.html

Multiplication flashcards:• http://aplusmath.com/Flashcards/m

ultiplication.html