Strategies for Solving
Vocabulary
Multiplication
Division
Words Problems
100
Draw an array to solve 7 x 7.
I have 7 rows and 7 columns. O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
100
What is the commutative property of multiplication? Give an example.
The commutative property of multiplication tells us that you can change the order of the factors in a multiplication equation and still get the same product. For example, 6 x 7 = 42 and 7 x 6 = 42.
100
What is a factor? What is a product? Give an example.
Factors are numbers that are multiplied to obtain a product, a product is the answer to a multiplication problem. An example would be that 4 and 4 are factors that give us a product of 16.
100
15 ÷ 3 = ______
15 ÷ 3 = 5
100
In order to earn a field lesson, the Pride of 2027 must have perfect homework for 28 days. How many weeks does the Pride of 2027 have to have 100% neat and complete homework? (There are 7 days in a week)
28 ÷ 7 = 4 weeks.
200
Draw a picture: There are 4 backpacks. There are 8 pencils in each backpack. How many pencils do I have all together?
I drew 4 squares and put 8 lines in each square. Then I counted all of the lines that I have to get 32 pencils.
200
What is the associative property? Give an example.
The associative property tells us that in addition or multiplication problems, we can change our groups (which numbers are in parentheses) and still get the same sum or product.
200
6 x 6 = _________. Show all work.
6 x 6 = 36
200
54 ÷ 6 = C. What does C equal? Show all work.
54 ÷ 6 = C. C = 9.
200
Ms. Dunn's dog was very thirsty. He drank 40 liters of water. Each of his water bowl's holds 8 liters of water. How many bowls of water did he drink? Write a multiplication equation and a division equation.
40 ÷ 8 = 5 bowls 8 x 5 = 40 liters
300
Draw a picture: 81 ÷ 9 = _________
I draw 9 circles and counted up to 81. I had 9 dots in each of my 9 circles.
300
What is the distributive property? Why would we use it?
The distributive property is when you distribute a number, or give that number, to each of the numbers in your parentheses, and then add your products. We would use it to break up large factors that we might not know the multiplication fact for. For example: 12 x 4 = (5 + 7) x 4 = (5 x 4) + (7 x 4).
300
48 = 6 x ____. Show all work.
The equation could be changed to 48 ÷ 6 = 8.
300
21 ÷ 7 = D
21 ÷ 7 = D, D = 3
300
At Parent Pride night, there are 3 rows of 8 chairs. Unexpectedly, more family members came than KIPP had planned for so they doubled the number of rows of chairs. How many chairs are there now? Use an array or a picture to show your thinking.
2 x (3 x 8) = 48 O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
400
Use a standard algorithm and tape diagram to solve: 12 x 6 = _________
I might not have known how to solve this fact right away, but I skip counted using our 6's song and realized that when we count by 6's twelve times we get 72. My tape diagram would have 12 parts with a 6 in each part, or 6 parts with 12 in each part with my whole as 72.
400
What is a variable? Give an example.
A variable is a letter that represents your known in an equation. For example, 6 x 3 = N. N = 18
400
Double 7. Show all of your work.
7 x 2 = 14.
400
64 ÷ 8 = L. L = _____. Show all work.
64 ÷ 8 = L. L = 8
400
KIPP raises enough money to buy a very expensive input-output machine to help their students understand multiplication. When Ms. Thompson put in the numbers 4, 5, and 6, the numbers 24, 30, and 36 came out. Based upon this patter, what number would come out if Ms. Smith Pittman put in the number 12?
The input-output machine multiplies numbers times 6. So if Ms. Smith Pittman put in the number 12, the equation would be 12 x 6 = M. M = 72.
500
Use a five-fact and distribute: 12 x 8 = ____________
12 x 8 = (5 + 7) x 8 = (5 x 8) + (7 x 8)= 40 + 56 = 96
500
What does it mean to decompose a number? Give an example.
To decompose a number means to break it down. For example, 9 x 4 = (5 + 4) x 4. We decomposed the 9, like you would in a number bond to have friendlier multiplication equations.
500
9 x 8 = ______. Use the break down and distribute method to solve.
9 x 8 = (5 + 4) x 8 = (5 x 8) + (4 x 8) = 40 + 32 = 72
500
84 ÷ 7 = A. A = ____. Decompose 84 to solve.
(70 ÷ 7) + (14 ÷ 7) = 10 + 2 = 12. A = 12.
500
Ms. Ratliff spends $63 on supplies for Family Saturday. She bought pencils for $7 a box. How many boxes of pencils does she have? Model the problem, write an equation representing the unknown as R and solve.
63 ÷ 7 = R R x 7 = 63 R = 9
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