WDYE? 4.1: Drawing Area Models to Find the Sample Space Learning Target: I will use an area model to represent a probability situation. HW: Complete the WDYE Investigation 3.1 p. 14 and Correct with the Zaption video: WDYE 4.1 Warm Up: A survey contains four questions with 2 possible answer choices: “yes” and “no.” How many possible ways are there to answer the survey? (Hint: Tree Diagram. Ask “What are the events?”)

A survey contains four questions with 2 possible answer choices: “yes” and “no.” How many possible ways are there to answer the survey? Question 2Question 1Question 3 Shortcut? 2 x 2 x 2 x 2 = Question 4 Events: Start

p.13

Miguel has divided the square into 3 equal rows. This is reasonable because it represents the probability of drawing a red or green marble from Bucket 1. p.13 1/3

1/4

P (red) = 6/12 = 1/2 P (blue) = 3/12 = 1/4 P (green) = 9/12 = 3/4 P (yellow) = 3/12 = 1/4

WDYE? 4.1: Drawing Area Models to Find the Sample Space Did I reach my Learning Target? I will use an area model to represent a probability situation. HW: Complete the WDYE Investigation 3.1 p. 14 and Correct with the Zaption video: WDYE 4.1

According to this area model what is in each bucket: Bucket 2 Bucket 1 HOMEWORK p. 14:

1. What is the area of each section if the rectangle is 100 square units? 2. What fraction of the whole square is each section? 3. How do the fractions in #2 compare to the probabilities of each section? RY =10 sq. units, RB = 10 sq. units, GY = 40 sq. units, GB = 40 sq. units 1/10 4/10 The probabilities and the fractions of the areas are the same for each section! p.14

1/10 4/10 R to G is 1:4 What are the ratios of R to G and Y to B? Y to B is 1:1

Ratios of R to G is 1:4 and Y to B is 1:1 YES!