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EXPLORING MULTIPLICATION PATTERNS Miss Key’s Third Grade Math Class.

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Presentation on theme: "EXPLORING MULTIPLICATION PATTERNS Miss Key’s Third Grade Math Class."— Presentation transcript:

1 EXPLORING MULTIPLICATION PATTERNS Miss Key’s Third Grade Math Class

2 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.

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4 THE MULTIPLICATION TABLES VIDEO ../Desktop/multiplication-2--the-multiplication- tables.htm../Desktop/multiplication-2--the-multiplication- tables.htm

5 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.

6 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.

7  Crayons or markers.  Hundred Chart.  Doubles Worksheet.  Multiplication Table. MATERIALS NEEDED

8 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

9 FACTORS & MULTIPLES VIDEO ../Desktop/divisibility-tests-for-2--3--4--5--6--9-- 10%20(1).htm../Desktop/divisibility-tests-for-2--3--4--5--6--9-- 10%20(1).htm

10 DOUBLE WORKSHEET  http://www.teachervision.fen.com/tv/pri ntables/Exploring-Multiplication.pdf http://www.teachervision.fen.com/tv/pri ntables/Exploring-Multiplication.pdf

11 HUNDRED CHART  http://www.teachervision.fen.com/tv/printables/scottforesma n/Math_4_TTT_9.pdf http://www.teachervision.fen.com/tv/printables/scottforesma n/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?

12 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?

13 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 = ?

14 ZERO PROPERTY FOR MULTIPLICATION  The product of a number and 0 is 0. Examples: 3 x 0 = ? 52 x 0 = ? 1 million x 0 = ?

15 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?

16 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.

17 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

18 DOUBLES WORKSHEET  http://www.teachervision.fen.com/tv/pri ntables/Exploring-Multiplication.pdf http://www.teachervision.fen.com/tv/pri ntables/Exploring-Multiplication.pdf Develops the concept of the doubles and work on it until the pattern is clear.

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20 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!

21 MULTIPLICATION PATTERNS: QUIZ 1.The result obtained by multiplying two or more quantities together is called a.MultipleMultiple b.FactorFactor c.ProductProduct d.DoubleDouble

22 MULTIPLICATION PATTERNS: QUIZ That is not the correct answer. Click the button below to try again.

23 MULTIPLICATION PATTERNS: QUIZ Next Question!

24 MULTIPLICATION PATTERNS: QUIZ 2. The product of a number and 1 is what number? a.11 b.that same numberthat same number c.1010 d.00

25 MULTIPLICATION PATTERNS: QUIZ That is not the correct answer. Click the button below to try again.

26 MULTIPLICATION PATTERNS: QUIZ Next Question!

27 MULTIPLICATION PATTERNS: QUIZ 3. What is the product of 1,000 x 0? a.1,0001,000 b.11 c.00 d.100100

28 MULTIPLICATION PATTERNS: QUIZ That is not the correct answer. Click the button below to try again.

29 MULTIPLICATION PATTERNS: QUIZ Next Question!

30 MULTIPLICATION PATTERNS: QUIZ 4. Can you name the double of 4 x 7? a.4 x 84 x 8 b.9 x 89 x 8 c.8 x 78 x 7 d.9 x 79 x 7

31 MULTIPLICATION PATTERNS: QUIZ That is not the correct answer. Click the button below to try again.

32 MULTIPLICATION PATTERNS: QUIZ Next Question!

33 MULTIPLICATION PATTERNS: QUIZ 5. Name two factors of 18. a.6 and 36 and 3 b.5 and 45 and 4 c.3 and 73 and 7 d.6 and 86 and 8

34 MULTIPLICATION PATTERNS: QUIZ That is not the correct answer. Click the button below to try again.

35 MULTIPLICATION PATTERNS: QUIZ Next Question!

36 MULTIPLICATION PATTERNS: QUIZ

37

38 EXTRA PRACTICE  Multiplication games from A+ Math: http://aplusmath.com/Games/index.html  Multiplication flashcards: http://aplusmath.com/Flashcards/multiplicati on.html http://aplusmath.com/Flashcards/multiplicati on.html

39 KHAN ACADEMY  Basic multiplication: https://www.khanacademy.org/math/arithmetic/multi plication- division/multiplication_fun/e/multiplication_0.5 https://www.khanacademy.org/math/arithmetic/multi plication- division/multiplication_fun/e/multiplication_0.5  Multiplying 1-digit numbers: https://www.khanacademy.org/math/arithmetic/multi plication- division/multiplication_fun/e/multiplication_1 https://www.khanacademy.org/math/arithmetic/multi plication- division/multiplication_fun/e/multiplication_1

40 BIBLIOGRAPHY  http://www.teachervision.fen.com/multiplication/printable/3092.htm l http://www.teachervision.fen.com/multiplication/printable/3092.htm l  Indiana State Standard  Dictionary.com  http://www.ednewscolorado.org/wp- content/uploads/2010/07/StockCommCore72010.jpg http://www.ednewscolorado.org/wp- content/uploads/2010/07/StockCommCore72010.jpg  Khanacademy.com  Ygraph.com  amazingworksheets.blogspot.com amazingworksheets.blogspot.com  PowerPoint

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