Fractions
Area & Perimeter
Representing Data
Factors
100

If there are 7 fish and 2 of them are green, what fraction of the fish are green?

2/7 of the fish are green

100

What is the perimeter and area of the shape below?


Area = 5・3 = 15 cm2    

Perimeter = 5 + 5 + 3 + 3 = 16 cm

100

Use the dot plot provided below. Rachel took a survey of how many cookies her classmates typically eat in one sitting. What is the most common number of cookies eaten?


The most common number of cookies eaten at once is 3 cookies.


100

List all the factors of 36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.    

because 36 = 1 x 36, 2 x 18, 3 x 12, 4 x 9, or 6 x 6.

200

Is 20/60 more or less than 50%?

20/60 is less than 50% because 50% = 30/60 which is more than 20/60.

200

Define perimeter and area.

The perimeter of a shape is the total length of the boundary (around the shape) that encloses the interior (inside) region on a flat surface. 

The area of a shape is the measure of the number of square units needed to cover a region on a flat surface.

200

Use the bar graph provided below. List the types of pets in order from popular to least popular according to how many students own each kind.


Answer: Dog, Cat, Hamster, Fish, Rabbit


200

Use a factor tree to find the prime factors of 42.

Example:

300

Add ⅙ + ½. Explain what you did.

Answer: 4/6 or 2/3

Work: 1/6 + 1/2 = 1/6 + 3/6 = 4/6 or 2/3

300

TRUE or FALSE?: If the perimeter of two shapes are the same, then the areas are the same as well.

FALSE. For example, the following two rectangles have the same perimeter, but two different areas.

 

300

The following histogram shows the heights of students in Ms. Melody’s class. What is the total number of students in her class?


300

Use the following generic rectangle to multiply 18・26:


18・26 = 200 + 160 + 60 + 48 = 468

400

List 3 fractions equivalent to 7/12.

14/24 = 21/36 = 70/120, etc.

400

Examine the pattern below. Draw figure 4 and 5, and describe how the perimeter changes for each new figure.



For each new figure, the perimeter increases by 4 units.

400

Create a stem and leaf plot using the following numbers: 80, 65, 52, 70, 58, 57, 66, 75, 41, 78, 95, 78, 80, 78


400

What is the greatest common factor of 24 and 36?

Answer: 12

Factors of 24 = 1, 2, 3, 4, 6, 8, 12 

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18


500

Maggie is making muffins for her book club with a recipe that yields 18 muffins. Including Maggie, there are 12 people in the club. If the muffins are divided evenly among each person, how much will each person get? Explain your thinking.

Answer: 1½ muffins. 

Sample explanation: If each person gets one muffin, there will be six left. Each person can have another half muffin.

500

Examine the pattern below. Draw figure 6, and write a rule for how the area changes for each new figure.



Rule: To find the area, add 1 to the figure number, and then square it (multiply it by itself).

Example: 

Area of Figure 6 = (6+1)2 = 7・7 = 49 units squared

500

Use the stem-and-leaf plot of Math Test Scores provided below. What is the minimum, maximum, and mode (most common value)?


Minimum: 50    Maximum: 94    Mode: 90


500

Fill in the missing numbers of the generic rectangle, and find the total area.



Area = 75・43 = 2,800 + 200 + 210 + 15 = 3,225