Lesson 1 Visualizing Probability with Area Models Develop Understanding

Ready

Evaluate each expression, rewrite as one number.

1.

$\frac{1}{5} \cdot \frac{2}{3} =$

2.

$\frac{3}{7} \cdot \frac{1}{3} =$

3.

${(\frac{2}{3})}^{3} =$

4.

${(\frac{4}{5})}^{2} =$

5.

$4 \cdot {(\frac{4}{7})}^{2} =$

6.

$\frac{2}{5} \div \frac{1}{2} =$

Set

Use the given representation to create the other two representations for the desired probability.

7.

Spinners:

All sectors on a spinner are equal in size.

What is the probability of spinning an even number and blue? $P$ (even and Blue)

Tree Diagram:

Area Model:

8.

Tree Diagram:

What is the probability of $H$ and $3$ ? $P (H and 3)$

Spinners:

Area Model:

9.

Area Model:

Columns are equal sizes and rows are equal sizes. Label in a sensible manner.

What is the probability of the shaded region?

Spinners:

Tree Diagram:

10.

If you had three unique spinners to consider probability for, how would your tree diagram and area model need to be adjusted?

11.

Create a set of spinners that could be used to model the same sample space and probabilities that connect with rolling a die and flipping a coin at the same time.

Go

Determine the type of function as linear, exponential or quadratic. Create the desired representation.

12.

$f (x) = 3 x^{2} - 3 x$

Type of Function:

Create a graph of the function.

13.

$(x) = 2 x - 5$

Type of Function:

Create a table with at least five coordinate pairs.

14.

$h (x) = 3 (2^{x})$

Type of Function:

Create a graph of the function.

15.

$n$	$0$	$1$	$2$	$3$	$4$
$f (n)$	$7$	$8$	$11$	$16$	$23$

Type of Function:

Create the explicit equation for the function.