Multiplication
7 x 3
What is 21?
20/5
What is 4?
In Minecraft, there are 30 blocks used to build 5 equal structures. If you know 5 x 6 = 30, how does that fact help you find how many blocks are in each structure?
What is 30 / 5 = 6 because multiplication and division are related?
How else can 4 x 5 = 20 be written that will yield the same result?
What is 5 x 4 = 20?
You know that 4 x 6 = 24. Explain how this helps you find the answer to 24 / 4.
What is 24 / 4 = 6? This is because multiplication and division are related, so if I know 4 groups of 6 equals 24, then I know 24 split into 4 groups is 6.
6 x 7
What is 42?
32/4
What is 8?
Your friend says 6 x 5 = 30, so 30 / 5 = 6. Explain whether they are correct or incorrect.
What is correct? This is because they are a fact family. Putting together 6 groups of 5 to make 30 would also mean you can separate a group of 30 into 5 groups of 6.
How can 5 x 7 be solved to demonstrate the distributive property?
What is 5 x (4 + 3) = (5 x 4) + (5 x 3) = 20 + 15 = 35?
or equivalent equation (ex. 5 x (2 + 5), etc.)
Your classmate says 6 x 8 = 14 because they know 6 + 8 = 14. Explain their mistake.
What is multiplication and addition are not related?
There are 6 buckets of soccer balls with 4 soccer balls in each bucket. How many soccer balls are there?
What is 24?
72 / 8
What is 9?
Which equation does not belong? 9 x 4 = 36, 36 / 9 = 4, 9 + 4 = 36, 36 / 4 = 9
What is 9 + 4 = 36?
Anthony says (2x3) x 4 is the same as 2 x (3x4) because of the associative property. Do you agree with Anthony? Justify your answer by solving both equations.
What is I agree? 2 x 3 = 6 so 6 x 4 = 24 and 3 x 4 = 12 so 2 x 12 = 24.
Which equation does not belong? 4 x 8 = 32, 32 - 8 = 4, 8 x 4 = 32, 32 / 8 = 4. Explain your reasoning.
What is 32 - 8 = 4? I chose this because it is subtraction, and the others are multiplication and division.
A student reads 9 pages every hour. After 4 hours, how many pages have they read?
What is 36 pages?
Your mom has 54 cookies, and your class has 18 students. Your mom wants each student to have an equal amount. How many cookies can each student have?
What is 3 cookies?
There are 7 tables with 5 students at each table, so there are 35 students in the class. Turn this into a division equation from this fact family.
What is 35 / 5 = 7 or 35 / 7 = 5?
Find two different ways to rewrite 6 x 3 = 18 using properties of operations.
What is 3 x 6 = 18 or 6 x (2 + 1) = (6 x 2) + (6 x 1) = 12 + 6 = 18?
Your friend says, "If 3 x 9 = 27, then 27 / 9 = 3." Do you agree or disagree? Explain your reasoning.
What is I agree? I agree because multiplication and division are related so if 3 groups of 9 equals 27, 27 divided into 9 groups equals 3.
Convince the class that 5 x 9 and 9 x 5 have the same or different answers
What is the same answer? This is because of the commutative property of multiplication. Having 5 groups of 9 and 9 groups of 5 would equate to the same number of items.
Explain whether 72 / 9 = 9 is correct or incorrect.
What is incorrect? This is incorrect because 72 / 9 = 8, not 9.
You know that 7 x 9 = 63. Explain how that fact could help you find 63 / 9.
What is, if I know that 7 x 9 = 63, then I know 63 / 9 = 7, because if 7 groups of 9 is a total of 63, then 63 split into 9 groups would have 7 in each group?
Selena says (4 x 9) x 5 = 4 x 14. Is Selena correct? Why or why not?
What is no? This is because 4 x 14 = 56, not 180, which is the answer of (4 x 9) x 5 and 4 x (9 x 5).
A student says, "If 5 x 7 = 30, then 30 / 5 = 7." Do you agree or disagree? Explain your reasoning.
What is I disagree? I disagree because 5 x 7 = 35, and 30 / 5 = 6. So, while their logic is correct, their answer was wrong, so it doesn't work.