Illustrative Mathematics | v.360 Curriculum

Problem 1

List the sample space for each chance experiment.

flipping a coin
selecting a random season of the year
selecting a random day of the week

Problem 2

A computer randomly selects a letter from the alphabet.

How many different outcomes are in the sample space?
What is the probability the computer produces the first letter of your first name?

Problem 3

What is the probability of selecting a random month of the year and getting a month that starts with the letter “J”? If you get stuck, consider listing the sample space.

Problem 4

ForLesson 4: Proportional Relationships and Equations

\(E\) represents an object’s weight on Earth and \(M\) represents that same object’s weight on the moon. The equation \(M = \frac16E\) represents the relationship between these quantities.

What does the \(\frac16\) represent in this situation?
Give an example of what a person might weigh on Earth and on the moon.

Problem 5

ForLesson 13: Decomposing Bases for Area

Here is a diagram of the base of a bird feeder which is in the shape of a pentagonal prism. Each small square on the grid is \(1\text{ in}^2\).

The distance between the two bases is 8 in. What will be the volume of the completed bird feeder?

diagram of the base of a bird feeder which is in the shape of a pentagonal prism. Each small square on the grid is 1 square inch.

Problem 6

ForLesson 14: Surface Area of Right Prisms

Find the surface area of the triangular prism.

A triangular prism with a triangular base. The sides of the triangle have lengths of 3 and 4 units, and a hypotenuse with a length of 5 units. The height of the prism has a length of 4 units.

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