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# Exploring multiplication patterns

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### Exploring multiplication patterns

1. 1. EXPLORINGMULTIPLICATION PATTERNS Miss Key’s Third Grade Math Class
2. 2. INTRODUCTIONThis lesson enables students to beginmastering their multiplication facts.Students will learn to use patterns andproperty theories as strategies for recalling thosefacts.
3. 3. THE MULTIPLICATION TABLES VIDEO../Desktop/multiplication-2--the-multiplication-tables.htm
4. 4. 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.
5. 5. 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.
6. 6. MATERIALS NEEDEDCrayons or markers.Hundred Chart.Doubles Worksheet.Multiplication Table.
7. 7. MULTIPLICATION VOCABULARY Multiple – a number that contains another number an integralnumber of times without a remainder • Example: 12 is a multiple of 3 Factor – one of two or more numbers, algebraic expressions, orthe like, that when multiplied together produce a given product; adivisor • Example: 6 and 3 are factors of 18 Product – the result obtained by multiplying two or morequantities together Double – twice the amount or multiplied by two
8. 8. FACTORS & MULTIPLES VIDEO../Desktop/divisibility-tests-for-2--3--4--5--6--9--10%20(1).htm
9. 9. DOUBLE WORKSHEEThttp://www.teachervision.fen.com/tv/printables/Exploring-Multiplication.pdf
10. 10. HUNDRED CHART http://www.teachervision.fen.com/tv/printables/scottforesman/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?
11. 11. HUNDRED CHART CONT .Now count by 9s. Find a pattern and discuss thepattern 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?
12. 12. PROPERTY OF ONE FOR MULTIPLICATIONThe product of a number and 1 is that samenumber.Every number is a multiple of one and itself.Examples:8x1=? 9x1=? 52 x 1 = ? 1 million x 1 = ?
13. 13. ZERO PROPERTY FOR MULTIPLICATIONThe product of a number and 0 is 0.Examples:3x0=? 52 x 0 = ? 1 million x 0 = ?
14. 14. NAME THE DOUBLE Name the double of : 2(2 x 2 = 4) For his family reunion Ariel wants to make 2 lemon piesthat use 5 lemons each. How many lemons should he buy?Then he remembers that his Uncle Bob loves lemons and islikely to eat 2 pies all by himself. Ariel better make 4 pies! Howmany lemons will he need to make 4 pies that require 5 lemonseach?
15. 15. 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.
16. 16. 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
17. 17. DOUBLES WORKSHEEThttp://www.teachervision.fen.com/tv/printables/Exploring-Multiplication.pdf • Develops the concept of the doubles and work on it until the pattern is clear.
18. 18. MULTIPLICATION PATTERNS: QUIZ Welcome to the quiz! Click the correct answer for each ofthe following five questions! If at any time you need or want to stop the quiz, click the Button. Click here to begin!
19. 19. MULTIPLICATION PATTERNS: QUIZ1. The result obtained by multiplying two or more quantities together is called a. Multiple b. Factor c. Product d. Double
20. 20. MULTIPLICATION PATTERNS: QUIZ That is not the correct answer.Click the button below to try again.
21. 21. MULTIPLICATIONPATTERNS: QUIZ Next Question!
22. 22. MULTIPLICATION PATTERNS: QUIZ2. The product of a number and 1 is what number? a. 1 b. that same number c. 10 d. 0
23. 23. MULTIPLICATIONPATTERNS: QUIZ That is not the correct answer.Click the button below to try again.
24. 24. MULTIPLICATIONPATTERNS: QUIZ Next Question!
25. 25. MULTIPLICATION PATTERNS: QUIZ3. What is the product of 1,000 x 0? a. 1,000 b. 1 c. 0 d. 100
26. 26. MULTIPLICATION PATTERNS: QUIZ That is not the correct answer.Click the button below to try again.
27. 27. MULTIPLICATIONPATTERNS: QUIZ Next Question!
28. 28. MULTIPLICATION PATTERNS: QUIZ4. Can you name the double of 4 x 7? a. 4x8 b. 9x8 c. 8x7 d. 9x7
29. 29. MULTIPLICATION PATTERNS: QUIZ That is not the correct answer.Click the button below to try again.
30. 30. MULTIPLICATIONPATTERNS: QUIZ Next Question!
31. 31. MULTIPLICATION PATTERNS: QUIZ5. Name two factors of 18. a. 6 and 3 b. 5 and 4 c. 3 and 7 d. 6 and 8
32. 32. MULTIPLICATIONPATTERNS: QUIZ That is not the correct answer.Click the button below to try again.
33. 33. MULTIPLICATIONPATTERNS: QUIZ Next Question!
34. 34. MULTIPLICATIONPATTERNS: QUIZ
35. 35. EXTRA PRACTICEMultiplication games from A+ Math: • http://aplusmath.com/Games/index.htmlMultiplication flashcards: • http://aplusmath.com/Flashcards/multiplicati on.html
36. 36. KHAN ACADEMY Basic multiplication: • 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
37. 37. BIBLIOGRAPHY http://www.teachervision.fen.com/multiplication/printable/3092.html Indiana State Standard Dictionary.com http://www.ednewscolorado.org/wp-content/uploads/2010/07/StockCommCore72010.jpg Khanacademy.com Ygraph.com amazingworksheets.blogspot.com PowerPoint