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Repeated Addition

Today I can model the process of multiplication using
repeated addition.


     Direct                     Guided      Independent
                   Video
   Instruction                  Practice      Practice




    Closure        Chart        Activity     Formative
Essential Questions


1. What is multiplication?

2. How do you model the process of multiplication using
repeated addition?
Essential Vocabulary
Essential Vocabulary

process-steps or actions taken to achieve an answer
Essential Vocabulary

process-steps or actions taken to achieve an answer

multiplication-is the process of adding equal sets together
Essential Vocabulary

process-steps or actions taken to achieve an answer

multiplication-is the process of adding equal sets together

factors-are the numbers multiplied together to get the
product/answer
Essential Vocabulary

process-steps or actions taken to achieve an answer

multiplication-is the process of adding equal sets together

factors-are the numbers multiplied together to get the
product/answer

product-is the answer when multiplying factors/numbers
together
Essential Vocabulary

process-steps or actions taken to achieve an answer

multiplication-is the process of adding equal sets together

factors-are the numbers multiplied together to get the
product/answer

product-is the answer when multiplying factors/numbers
together

repeated addition-repeatedly adding the same number
multiple times (ex. 5 + 5 + 5 + 5 = 20)
Anticipatory Set
Pretend your grandmother lives on a farm, and has 9 cats.
How many legs would there be altogether?

How would you solve for the answer?
Direction Instruction

Repeated addition is one model to use when solving this
problem.

Grandma has 9 cats.

Each cat has 4 legs.
Direction Instruction

Repeated addition is one model to use when solving this
problem.

Grandma has 9 cats.

Each cat has 4 legs.



 4 +4 +4 +4+4+ 4 + 4 +4 + 4
Direction Instruction

Repeated addition is one model to use when solving this
problem.

Grandma has 9 cats.

Each cat has 4 legs.



 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
Direction Instruction
Repeated addition takes several steps. Multiplication is a
faster way to total many of the same number.
Multiplication gives use the total in just one step.

Grandma has 9 cats.    Each cat has 4 legs.
Direction Instruction
Repeated addition takes several steps. Multiplication is a
faster way to total many of the same number.
Multiplication gives use the total in just one step.

Grandma has 9 cats.    Each cat has 4 legs.



4 + 4 +4 +4 +4+ 4 +4 +4 + 4
Direction Instruction
Repeated addition takes several steps. Multiplication is a
faster way to total many of the same number.
Multiplication gives use the total in just one step.

Grandma has 9 cats.    Each cat has 4 legs.



4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
Direction Instruction
Repeated addition takes several steps. Multiplication is a
faster way to total many of the same number.
Multiplication gives use the total in just one step.

Grandma has 9 cats.    Each cat has 4 legs.



4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
9 x 4 = 36 cat legs
Direction Instruction
Repeated addition takes several steps. Multiplication is a
faster way to total many of the same number.
Multiplication gives use the total in just one step.

Grandma has 9 cats.    Each cat has 4 legs.



 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
 9 x 4 = 36 cat legs
cats
Direction Instruction
Repeated addition takes several steps. Multiplication is a
faster way to total many of the same number.
Multiplication gives use the total in just one step.

Grandma has 9 cats.       Each cat has 4 legs.



 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
 9 x 4 = 36 cat legs
       legs each
cats
Direction Instruction
Repeated addition takes several steps. Multiplication is a
faster way to total many of the same number.
Multiplication gives use the total in just one step.

Grandma has 9 cats.       Each cat has 4 legs.



 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
 9 x 4 = 36 cat legs
       legs each
cats




                          Repeated addition is the
                          same as multiplication.
Direction Instruction
You are trying to make your AR Goal. For eight days, you
read six books each day. How many books did you read?
Direction Instruction
You are trying to make your AR Goal. For eight days, you
read six books each day. How many books did you read?




6 + 6 + 6 + 6 +       +6 + 6 +6
Direction Instruction
You are trying to make your AR Goal. For eight days, you
read six books each day. How many books did you read?




6 + 6 + 6 + 6 +       +6 + 6 +6       = 48 books
Direction Instruction
 You are trying to make your AR Goal. For eight days, you
 read six books each day. How many books did you read?




6 + 6 + 6 + 6 +        +6 + 6 +6       = 48 books

8 days of reading, 6 books each day
repeated addition = many steps
multiplication = 1 step
Direction Instruction
 You are trying to make your AR Goal. For eight days, you
 read six books each day. How many books did you read?




6 + 6 + 6 + 6 +        +6 + 6 +6       = 48 books

8 days of reading, 6 books each day
repeated addition = many steps
multiplication = 1 step               8 x 6 = 48 books
Direction Instruction

Watch as this video models the process of
multiplication using repeated addition.



http://player.discoveryeducation.com/index.cfm?
guidAssetId=29ca0dce-253f-4855-9ede-b921e5c5c375
Guided Practice

Your brother collects rocks. He keeps them in boxes. He
has 5 boxes with 7 rocks in each box. How many rocks
does he have?

repeated addition = many steps

7 + 7 + 7 + 7 + 7 = 35 rocks

multiplication = one step

5 x 7 = 35 rocks
Guided Practice
Solve using repeated addition.

1) 6 x 8 =

2) 7 x 3 =

3) 4 x 5=

Solve using multiplication.

1) 3 + 3 + 3 + 3 + 3 + 3 =

2) 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 =

3) 9 + 9 + 9 =
Independent Practice
Directions: Use the cards (0-12) to make repeated addition
models for these multiplication problems.

1) 7 x 7 =

2) 8 x 3 =

3) 12 x 6 =

4) 2 x 10 =

5) 4 x 11 =
Independent Practice
Directions: Use the cards (0-12) to make multiplication
problems from repeated addition.

1) 7 + 7 =

2) 3 + 3 + 3 + 3 + 3 + 3 + 3 =

3) 12 + 12 + 12 =

4) 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 =

5) 11 + 11 + 11 + 11 + 11 =
Closure
1. What is multiplication?

2. How do you model the process of multiplication using
repeated addition?


* You have one minute “think time”.

  Click to start musical timer.



*Your have one minute to answer the questions.

  Click to start musical timer.




* Be prepared to share.
Closure
1. What is multiplication?

2. How do you model the process of multiplication using
repeated addition?


* You have one minute “think time”.

  Click to start musical timer.



*Your have one minute to answer the questions.

  Click to start musical timer.




* Be prepared to share.
Closure
1. What is multiplication?

2. How do you model the process of multiplication using
repeated addition?


* You have one minute “think time”.

  Click to start musical timer.



*Your have one minute to answer the questions.

  Click to start musical timer.




* Be prepared to share.
3rd Grade Survey
                          Repeated Addition                          Multiplication
      100



       75



       50



       25



         0
                      July                August              September               October


The survey was taken by one hundred 3rd graders on preference of repeated addition or multiplication. As student
became more comfortable processing multiplication using repeated addition they preferred multiplication to
repeated addition. Students realized multiplication was a faster and easier way to solve for the answer.
Repeated addition is




           Multiplication!
Repeated addition is




Multiplication!
Repeated addition is


Multiplication!
Repeated addition is


Multiplication!
Independent Practice-Activity


On the next four slides are the number cards for students to build
repeated addition models to process multiplication.



Note: Slides can be printed out, laminated, and cut apart. Students
can be partnered up, for less cards needed.
0   0   0   0   0   0


0   0   0   0   0   0


1   1   1   1   1   1


1   1   1   1   1   1


2   2   2   2   2   2


2   2   2   2   2   2


3   3   3   3   3   3


3   3   3   3   3   3
4   4   4   4   4   4


4   4   4   4   4   4


5   5   5   5   5   5


5   5   5   5   5   5


6   6   6   6   6   6


6   6   6   6   6   6


7   7   7   7   7   7


7   7   7   7   7   7
8    8    8    8    8    8


8    8    8    8    8    8


9    9    9    9    9    9


9    9    9    9    9    9


10   10   10   10   10   10


10   10   10   10   10   10


11   11   11   11   11   11


11   11   11   11   11   11
12   12   12   12   12   12


12   12   12   12   12   12


+    +    +    +    +    +

+    +    +    +    +    +

+    +    +    +    +    +

x    x    x    x    x    x

x    x    x    x    x    x

=    =    =    =    =    =
Name ___________________________
 
                      
    
    
                   Date
___________________

                                       Formative:
            (G3.1M.C2.PO3A) The Process of Multiplication Using Repeated Addition

     Directions: Fill in the empty boxes with repeated addition or multiplication, the solve.

               Repeated Addition                             Multiplication                     Solve

1)               3+3+3+3=

2)                                                                7 x8=

3)         6+6+6+6+6+6=

4)                                                                9x5=

5)      12 +12 +12 +12 +12+12 =
Sources

CLIP Keynote Competency

Arizona State Standards

Vail School District-Unwrapped Standards

Discovery Education

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Repeated addition hands on

  • 1. Repeated Addition Today I can model the process of multiplication using repeated addition. Direct Guided Independent Video Instruction Practice Practice Closure Chart Activity Formative
  • 2. Essential Questions 1. What is multiplication? 2. How do you model the process of multiplication using repeated addition?
  • 4. Essential Vocabulary process-steps or actions taken to achieve an answer
  • 5. Essential Vocabulary process-steps or actions taken to achieve an answer multiplication-is the process of adding equal sets together
  • 6. Essential Vocabulary process-steps or actions taken to achieve an answer multiplication-is the process of adding equal sets together factors-are the numbers multiplied together to get the product/answer
  • 7. Essential Vocabulary process-steps or actions taken to achieve an answer multiplication-is the process of adding equal sets together factors-are the numbers multiplied together to get the product/answer product-is the answer when multiplying factors/numbers together
  • 8. Essential Vocabulary process-steps or actions taken to achieve an answer multiplication-is the process of adding equal sets together factors-are the numbers multiplied together to get the product/answer product-is the answer when multiplying factors/numbers together repeated addition-repeatedly adding the same number multiple times (ex. 5 + 5 + 5 + 5 = 20)
  • 9. Anticipatory Set Pretend your grandmother lives on a farm, and has 9 cats. How many legs would there be altogether? How would you solve for the answer?
  • 10. Direction Instruction Repeated addition is one model to use when solving this problem. Grandma has 9 cats. Each cat has 4 legs.
  • 11. Direction Instruction Repeated addition is one model to use when solving this problem. Grandma has 9 cats. Each cat has 4 legs. 4 +4 +4 +4+4+ 4 + 4 +4 + 4
  • 12. Direction Instruction Repeated addition is one model to use when solving this problem. Grandma has 9 cats. Each cat has 4 legs. 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
  • 13. Direction Instruction Repeated addition takes several steps. Multiplication is a faster way to total many of the same number. Multiplication gives use the total in just one step. Grandma has 9 cats. Each cat has 4 legs.
  • 14. Direction Instruction Repeated addition takes several steps. Multiplication is a faster way to total many of the same number. Multiplication gives use the total in just one step. Grandma has 9 cats. Each cat has 4 legs. 4 + 4 +4 +4 +4+ 4 +4 +4 + 4
  • 15. Direction Instruction Repeated addition takes several steps. Multiplication is a faster way to total many of the same number. Multiplication gives use the total in just one step. Grandma has 9 cats. Each cat has 4 legs. 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs
  • 16. Direction Instruction Repeated addition takes several steps. Multiplication is a faster way to total many of the same number. Multiplication gives use the total in just one step. Grandma has 9 cats. Each cat has 4 legs. 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs 9 x 4 = 36 cat legs
  • 17. Direction Instruction Repeated addition takes several steps. Multiplication is a faster way to total many of the same number. Multiplication gives use the total in just one step. Grandma has 9 cats. Each cat has 4 legs. 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs 9 x 4 = 36 cat legs cats
  • 18. Direction Instruction Repeated addition takes several steps. Multiplication is a faster way to total many of the same number. Multiplication gives use the total in just one step. Grandma has 9 cats. Each cat has 4 legs. 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs 9 x 4 = 36 cat legs legs each cats
  • 19. Direction Instruction Repeated addition takes several steps. Multiplication is a faster way to total many of the same number. Multiplication gives use the total in just one step. Grandma has 9 cats. Each cat has 4 legs. 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 cat legs 9 x 4 = 36 cat legs legs each cats Repeated addition is the same as multiplication.
  • 20. Direction Instruction You are trying to make your AR Goal. For eight days, you read six books each day. How many books did you read?
  • 21. Direction Instruction You are trying to make your AR Goal. For eight days, you read six books each day. How many books did you read? 6 + 6 + 6 + 6 + +6 + 6 +6
  • 22. Direction Instruction You are trying to make your AR Goal. For eight days, you read six books each day. How many books did you read? 6 + 6 + 6 + 6 + +6 + 6 +6 = 48 books
  • 23. Direction Instruction You are trying to make your AR Goal. For eight days, you read six books each day. How many books did you read? 6 + 6 + 6 + 6 + +6 + 6 +6 = 48 books 8 days of reading, 6 books each day repeated addition = many steps multiplication = 1 step
  • 24. Direction Instruction You are trying to make your AR Goal. For eight days, you read six books each day. How many books did you read? 6 + 6 + 6 + 6 + +6 + 6 +6 = 48 books 8 days of reading, 6 books each day repeated addition = many steps multiplication = 1 step 8 x 6 = 48 books
  • 25. Direction Instruction Watch as this video models the process of multiplication using repeated addition. http://player.discoveryeducation.com/index.cfm? guidAssetId=29ca0dce-253f-4855-9ede-b921e5c5c375
  • 26. Guided Practice Your brother collects rocks. He keeps them in boxes. He has 5 boxes with 7 rocks in each box. How many rocks does he have? repeated addition = many steps 7 + 7 + 7 + 7 + 7 = 35 rocks multiplication = one step 5 x 7 = 35 rocks
  • 27. Guided Practice Solve using repeated addition. 1) 6 x 8 = 2) 7 x 3 = 3) 4 x 5= Solve using multiplication. 1) 3 + 3 + 3 + 3 + 3 + 3 = 2) 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 3) 9 + 9 + 9 =
  • 28. Independent Practice Directions: Use the cards (0-12) to make repeated addition models for these multiplication problems. 1) 7 x 7 = 2) 8 x 3 = 3) 12 x 6 = 4) 2 x 10 = 5) 4 x 11 =
  • 29. Independent Practice Directions: Use the cards (0-12) to make multiplication problems from repeated addition. 1) 7 + 7 = 2) 3 + 3 + 3 + 3 + 3 + 3 + 3 = 3) 12 + 12 + 12 = 4) 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 5) 11 + 11 + 11 + 11 + 11 =
  • 30. Closure 1. What is multiplication? 2. How do you model the process of multiplication using repeated addition? * You have one minute “think time”. Click to start musical timer. *Your have one minute to answer the questions. Click to start musical timer. * Be prepared to share.
  • 31. Closure 1. What is multiplication? 2. How do you model the process of multiplication using repeated addition? * You have one minute “think time”. Click to start musical timer. *Your have one minute to answer the questions. Click to start musical timer. * Be prepared to share.
  • 32. Closure 1. What is multiplication? 2. How do you model the process of multiplication using repeated addition? * You have one minute “think time”. Click to start musical timer. *Your have one minute to answer the questions. Click to start musical timer. * Be prepared to share.
  • 33. 3rd Grade Survey Repeated Addition Multiplication 100 75 50 25 0 July August September October The survey was taken by one hundred 3rd graders on preference of repeated addition or multiplication. As student became more comfortable processing multiplication using repeated addition they preferred multiplication to repeated addition. Students realized multiplication was a faster and easier way to solve for the answer.
  • 34. Repeated addition is Multiplication!
  • 38. Independent Practice-Activity On the next four slides are the number cards for students to build repeated addition models to process multiplication. Note: Slides can be printed out, laminated, and cut apart. Students can be partnered up, for less cards needed.
  • 39. 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3
  • 40. 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7
  • 41. 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11
  • 42. 12 12 12 12 12 12 12 12 12 12 12 12 + + + + + + + + + + + + + + + + + + x x x x x x x x x x x x = = = = = =
  • 43. Name ___________________________ Date ___________________ Formative: (G3.1M.C2.PO3A) The Process of Multiplication Using Repeated Addition Directions: Fill in the empty boxes with repeated addition or multiplication, the solve. Repeated Addition Multiplication Solve 1) 3+3+3+3= 2) 7 x8= 3) 6+6+6+6+6+6= 4) 9x5= 5) 12 +12 +12 +12 +12+12 =
  • 44. Sources CLIP Keynote Competency Arizona State Standards Vail School District-Unwrapped Standards Discovery Education

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