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My Thinking Sheet                                                         Name:                              Date:




                                                           How many ways can you 
                                                           represent this photo?




N3.3 Demonstrate understanding of multiplication to 5 × 5 and the corresponding division statements including:
• representing and explaining using repeated addition or subtraction, equal grouping, and arrays
• creating and solving situational questions
• modeling processes using concrete, physical, and visual representations, and recording the process symbolically
• relating multiplication and division.

N4.4 Demonstrate an understanding of multiplication of whole numbers (2- or 3-digit by 1 - digit) by:
• modeling the distributive property
• using personal strategies for multiplication, with and without concrete materials
• using arrays to represent multiplication
• connecting concrete representations to symbolic representations
• estimating products
• solving problems.

N4.5 Demonstrate an understanding of division of whole numbers (1-digit divisor to 2-digit dividend) by:
• using personal strategies for dividing, with and without concrete materials
• estimating quotients
• explaining the results of dividing by 1
• solving problems involving division of whole numbers
• relating division to multiplication.




                                                                                                                            1
Students should know their
doubles before you begin
multiplication and division.
 http://www.poweroften.ca/index.php?view=video&id=44&option=com_jomtube&Itemid=139



                               http://www.poweroften.ca/index.php?view=video&id=46&option=com_jomtube&Itemid=139




                                                                                                                   2
Turn over two cards.
Record the process using repeat
addition and symbolically  (Multiply   them together).




               I think 7 groups of 4 OR 4 groups
               of 7.




                                                         3
Turn over two cards.
Record the process using repeat
addition and symbolically           (Multiply them together).




       The factors are 7 and 4.
       The product is the total when you
       multiply or add 7 groups of 4.




                        I think 7 groups of 4 OR 4 groups
                        of 7.




                   4+4+4+4+4+4+4=




               7x4=28
    7+7+7+7=   4x7=28



7          4




      28



                                                                4
bounce ball- rhythmic




(Page 112) Teaching the 5 Times Tables 

         1 group of 5


            2 groups of 5




                                                5
6
How many 5's make 20?




                        7
I see...
I think...
This reminds me of...




                        8
Susan says 25-5-5-5-5-5=0
describes division do you agree?
Explain.




                                   9
Jumbo the elephant loves peanuts.
His trainer has 20 peanuts.
If he gives Jumbo 5 peanuts each day, how many days will the peanuts last?


          Day           Number of Peanuts




                                                                             10
Jumbo the elephant loves peanuts.
His trainer has 20 peanuts.
If he gives Jumbo 5 peanuts each day, how many days will the peanuts last?
------------------------------------------------------------------
What if he only gave 2 a day, how many days will the peanuts last?

           Day           Number of Peanuts




                                                                             11
Credits

                                 http://www.poweroften.ca/



 blackline masters

http://www.ablongman.com/vandewalleseries/




                                                             12
13

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Understanding multiplication and division concepts

  • 1. My Thinking Sheet Name: Date: How many ways can you  represent this photo? N3.3 Demonstrate understanding of multiplication to 5 × 5 and the corresponding division statements including: • representing and explaining using repeated addition or subtraction, equal grouping, and arrays • creating and solving situational questions • modeling processes using concrete, physical, and visual representations, and recording the process symbolically • relating multiplication and division. N4.4 Demonstrate an understanding of multiplication of whole numbers (2- or 3-digit by 1 - digit) by: • modeling the distributive property • using personal strategies for multiplication, with and without concrete materials • using arrays to represent multiplication • connecting concrete representations to symbolic representations • estimating products • solving problems. N4.5 Demonstrate an understanding of division of whole numbers (1-digit divisor to 2-digit dividend) by: • using personal strategies for dividing, with and without concrete materials • estimating quotients • explaining the results of dividing by 1 • solving problems involving division of whole numbers • relating division to multiplication. 1
  • 2. Students should know their doubles before you begin multiplication and division. http://www.poweroften.ca/index.php?view=video&id=44&option=com_jomtube&Itemid=139 http://www.poweroften.ca/index.php?view=video&id=46&option=com_jomtube&Itemid=139 2
  • 3. Turn over two cards. Record the process using repeat addition and symbolically (Multiply them together). I think 7 groups of 4 OR 4 groups of 7. 3
  • 4. Turn over two cards. Record the process using repeat addition and symbolically (Multiply them together). The factors are 7 and 4. The product is the total when you multiply or add 7 groups of 4. I think 7 groups of 4 OR 4 groups of 7. 4+4+4+4+4+4+4= 7x4=28 7+7+7+7= 4x7=28 7 4 28 4
  • 6. 6
  • 7. How many 5's make 20? 7
  • 8. I see... I think... This reminds me of... 8
  • 9. Susan says 25-5-5-5-5-5=0 describes division do you agree? Explain. 9
  • 10. Jumbo the elephant loves peanuts. His trainer has 20 peanuts. If he gives Jumbo 5 peanuts each day, how many days will the peanuts last? Day Number of Peanuts 10
  • 11. Jumbo the elephant loves peanuts. His trainer has 20 peanuts. If he gives Jumbo 5 peanuts each day, how many days will the peanuts last? ------------------------------------------------------------------ What if he only gave 2 a day, how many days will the peanuts last? Day Number of Peanuts 11
  • 12. Credits http://www.poweroften.ca/ blackline masters http://www.ablongman.com/vandewalleseries/ 12
  • 13. 13