Picture Graphs
Using the picture graph's information, what is the key equal to?
The key is equal to each candy symbol equaling two candies.
Use skip counting to solve 3 x 9.
3,6,9,12,15,18,21,24,27
3 x 9 =27
9 x 5.
9 x 5 = 5 x 9
When setting up for a party, you have to set up 3 tables with 7 chairs at each table. Draw an array to show this and write a number sentence to go along with the problem.
You then find out you need another table! Adjust your array to show you've added another table. Write a new number sentence.
3 x 7 = 21
x x x x x x x
x x x x x x x
x x x x x x x
4 x 7 = 28
x x x x x x x
x x x x x x x
x x x x x x x
x x x x x x x
When setting up for a party, you have to set up 3 tables with 7 chairs at each table. Draw an array to show this and write a number sentence to go along with the problem.
You then find out you don't need a table! Adjust your array to show you've taken away a table. Write a new number sentence.
xxxxxxx 3 x 7 = 21
xxxxxxx 3 x 2 = 14
xxxxxxx
How many candies does Susie have?
Susie has 6 candies.
3 symbols, each symbol equals 2.
3 x 2 = 6
Use an array to solve 6 x 7.
6 x 7 =
xxxxxx
xxxxxx
xxxxxx
xxxxxx
xxxxxx
xxxxxx
xxxxxx
Rewrite the following as a turn-around fact, then solve. Show your work.
7 x 3.
7 x 3=3 x 7
3,6,9,12,15,18,21
7 x 3 = 21
3 x 7 = 21
When adding a group to an array this method is called...
Adding a group
Jimmy was setting up his store. He had 6 shelves with 9 products on each shelf.
Jimmy decided that he didn't need one of the shelves so he took it away.
Explain your steps on how you would solve this.
I would first start by drawing an array by 6 rows of 9.
Then I would write my number sentence 6 x 9 = 54. Then I would I cross out one row of my array showing that I used the subtracting a group method.
Then I would rewrite the number sentence with my new numbers, 5 x 9 = 45.
How many candies does Bobbie, Julie, and Sam have all together? Show your work.
Together Bobbie, Julie and Sam have 16 pieces candy all together.
Bobbie has 2
Julie has 4
Sam has 10
10 + 4 + 2 = 16
7 x 9 = 63
If I have 9 x 9, and I rewrite it using the turn-around fact, will it be the same?
Will the answer be the same or will the answer be different?
9 x 9 = 9 x 9
The answer stays the same, the factors are the only things that switch places.
When using the original problem to help you solve the new given problem the original is called the what?
(Hint: If we have 4 x 5 and we want to know 5 x 5 by using the adding a group method, the 4 x 5 is known as the...)
Helper Fact
When taking away a group to find an answer this method is called...
The subtracting a group method
Use the following information to make your own picture graph.
Using circles for the symbols:
During trick-or-treat, Susie collected 4 pieces of candy, Bobbie collected 7 pieces of candy, Julie collected 6 pieces of candy, and Sam collected 9 pieces of candy.
When creating your picture graph, keep the key as each circle equaling 2 pieces of candy.
(picture of graph)
Use skip counting to solve 9 x 11.
(Hint you can use a turn-around fact)
11, 22, 33, 44, 55, 66, 77, 88, 99
9,18,27,36,45,54, 63,72,81,90,99
9 x 11= 99
Use the turn around rule to help you solve,
12 x 5.
Show your work.
12 x 5 = 5 x 12
5| 5| 5| 5| 5| 5| 5| 5| 5| 5| 5| 5|
Jimmy was setting up his store. He had 6 shelves with 9 products on each shelf.
Jimmy decided that he needed another shelf so he could add more product.
Explain your steps on how you would solve this.
First I would draw an array of 6 rows and 9 columns. Then I would write my number sentence 6 x 9.
Then I would add another row of 9 to my array to show Jimmy adding another shelf.
I would rewrite a new number sentence as 7 x 9. Then I would take 54 and add 9 to it and I would get 63. So, 7 x 9 = 63
Using the subtracting a group method, create your own subtracting a group problem and solve it, explain how you solved your problem.
(answers vary)
Create a question that goes with the following answer using the following picture graph (#2).
Answer: I knew that each full circle equaled 2 pieces of candy, so I drew a half circle to show 1 piece of candy.
How did you know how many circles to draw for (Bobbie or Sam)?
Use an array to solve the following 5 x 13.
5 x 13 = 65
When you solve 8 x 11, what rule allows for your to switch the place of the 8 and the 11 and rewrite the problem as 11 x 8?
Turn-around
Show me the following ways of using the adding a group for the following problems.
Henry had 8 desks and 5 chairs at each desk. He added another desk with the same amount of chairs.
Show me using an array, using numbers, and using words.
Array: Number: Words:
xxxxx 8 x 5 = 40 Eight times five
xxxxx 40 + 5 = 45 equals forty, so I
xxxxx 9 x 5 = 45 added five to forty
xxxxx because we added
xxxxx another row, forty
xxxxx plus five is forty-
xxxxx five, so nine time
xxxxx five is forty-five.
xxxxx (Added)
Show me the following ways of using the adding a group for the following problems.
Henry had 8 desks and 5 chairs at each desk. He took away a desk he wasn't using.
Show me using an array, using numbers, and using words.
Array: Number: Words:
xxxxx 8 x 5 = 40 Eight times five
xxxxx 40 - 5 = 35 equals forty, so I
xxxxx 7 x 5 = 35 subtracted five
xxxxx from forty because
xxxxx we took away a group
xxxxx of five, forty minus
xxxxx five is thirty-five, so
xxxxx seven times five is
xxxxx thirty-five.