Name:
Algebra 1: Unit 4, Lesson 9 Portfolio
TASK 1 (4 Points): Answer each of the questions below on your own. Save your work in a document to which you can later add Tasks 2 and 3 when you reach those parts of the portfolio project. Use the map on p. 169 in your textbook to answer Questions 1 and 2 below.
Top of Form
Question 1 (3 Points)
You plan to go from Portland to Tucson. Let x be the distance in miles of any flight between Portland and Tucson.
a. What is a true statement about the mileage of any route from Portland to Tucson? Assume that no route visits the same city more than once and that each route has no more than one layover.
b. How many routes exist between Portland and Tucson? What are they? Which route is the shortest?
c. Write an inequality that represents the mileage of any route between Portland and Tucson.
Question 2 (1 Point)
Your travel agent is making plans for you to go from San Diego to Seattle. A direct flight is not available. Option A consists of flights from San Diego to Boise to Seattle. Option B consists of flights from San Diego to Las Vegas to Seattle. Write an inequality to compare the distances of these two options.
TASK 2 (4 Points): Come up with a real world example of a situation that uses a function rule. Think about your daily life, your home, or the community you live in for ideas.
a. Create a table of values showing at least 4 input and output values for the situation.
b. Write the function rule based on your table of values.
c. Graph the function on a coordinate plane.
Example: Joanna is trying to save up to buy a new video game system. She has already saved $25, and plans to earn $10 per hour dog-sitting.
a. TABLE OF VALUES: b. FUNCTION RULE: c. GRAPH:
Hours Worked / Amount of Money Saved0 / 25
1 / 35
2 / 45
3 / 55
4 / 65
5 / 75
f(x) = 25 + 10x
where x is the number
of hours worked.
Your function:
a. TABLE OF VALUES: b. FUNCTION RULE: c. GRAPH:
TASK 3 (8 Points): Complete activities 1-4 on Block Patterns on the National Library of Virtual Manipulatives website.
Activity 1
Number of Triangles / Perimeter1 / 3
2 / 4
3
4
5
6
Activity 2
1. If this pattern were to continue, how many triangles would be the area of the 7th figure?
Figure / Triangles1 / 1
2 / 3
3
4
5
6
Activity 3
2. If this pattern were to continue, what would be the area of the 12th figure?
Figure / Area1 / 1
2 / 4
3
4
5
6
Activity 4
3. If this pattern were to continue, what would be the area of the 12th pattern?
Figure / Hexagons1 / 1
2 / 5
3
4
5