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[/img][br][br]How are the pairs of figures alike?

How are they different?

How can Diego package all the 48 brownies so that each bag has the same number of them? How many bags can he make, and how many brownies will be in each bag? Find all the possible ways to package the brownies. 

How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can he make, and how many cookies will be in each bag? Find all the possible ways to package the cookies. 

How can Diego package all the 48 brownies and 64 cookies so that each bag has the same combination of items? How many bags can he make, and how many of each will be in each bag? Find all the possible ways to package both items. 

What is the largest number of combination bags that Diego can make with no left over? Explain to your partner how you know that it is the largest possible number of bags.

The [b]greatest common[/b] factor of 30 and 18 is 6. What do you think the term “greatest common factor” means?

Find all of the [b]factors [/b]of 21 and 6.

Then, identify the greatest common factor of 21 and 6.

Find all of the factors of 28 and 12.

Then, identify the greatest common factor of 28 and 12.

A rectangular bulletin board is 12 inches tall and 27 inches wide. Elena plans to cover it with squares of colored paper that are all the same size. The paper squares come in different sizes; all of them have whole-number inches for their side lengths.[br][br]What is the side length of the largest square that Elena could use to cover the bulletin board completely without gaps and overlaps? Explain your reasoning or show it in the applet below.

How is the solution to this problem related to greatest common factor?

[list][*]One student goes down the hall and opens each locker.[/*][*]A second student goes down the hall and closes every second locker: lockers 2, 4, 6, and so on.[/*][*]A third student goes down the hall and changes every third locker. If a locker is open, he closes it. If a locker is closed, he opens it.[/*][*]A fourth student goes down the hall and changes every fourth locker.[/*][/list]This process continues up to the thousandth student! At the end of the process, which lockers will be open? (Hint: you may want to try this problem with a smaller number of lockers first.)

A teacher is making gift bags. Each bag is to be filled with pencils and stickers. The teacher has 24 pencils and 36 stickers to use. Each bag will have the same number of each item, with no items left over. For example, she could make 2 bags with 12 pencils and 18 stickers each.[br][br]What are the other possibilities? Explain or show your reasoning.

List all the factors of 42.

What is the greatest common factor of 42 and 15?

What is the greatest common factor of 42 and 50?

[size=150]A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible.[/size][br][br]What is the largest number of groups that could be formed? Explain or show your reasoning.

If that many groups are formed, how many students of each grade level would be in each group?

Which transactions represent negative values?

[math]\frac{1}{7}\div\frac{1}{8}[/math]

[math]\frac{12}{5}\div\frac{6}{5}[/math]

[math]\frac{1}{10}\div10[/math]

[math]\frac{9}{10}\div\frac{10}{9}[/math]

[size=150]An elephant can travel at a constant speed of 25 miles per hour, while a giraffe can travel at a constant speed of 16 miles in [math]\frac{1}{2}[/math] hour.[/size][br][br]Which animal runs faster? Explain your reasoning.

How far can each animal run in 3 hours?[br]