Algebra 1 Summer Assignment 2015 DUE YOUR FIRST MATH CLASS OF THE SCHOOL YEAR Name:_________________________________ As an incoming Algebra 1 student, it is important that you are proficient in several skills from previous math courses. This assignment contains examples of the skills you are expected to know as you enter your Algebra class this September. If you need assistance or further practice with any of these skills, we strongly recommend that you visit one of the free websites below: http://www.khanacademy.org/ The Khan Academy website offers a list of videos that explain how to solve various types of math problems. On the main page, scroll down to “Browse the Library”. Then select ”Core Pre‐Algebra” for help with fractions, order of operations, operations with negatives/positives, and other topics or select “Core Algebra” for help with solving equations and other topics. www.intmath.com This interactive math link offers help with ordering numbers, operations with real numbers, or order of operations. On the main page, click on Numbers located next to Algebra. Select Integers (for ordering and operations) or Order of Operations www.math.com This website offers help with evaluating expressions, combining like terms, writing equations, solving equations, or graphs. On the main page, click on Algebra, which is located on the left hand side of the page. Select the topic you wish to explore. http://www.yourchildlearns.com/us_map.htm This website gives an interactive map of the United States. THERE ARE TWO COMPONENTS TO THIS SUMMER ASSIGNMENT: 1. Map Your Mathematical Road Trip 
Answer the questions on pages 2‐5 of this packet to find the coordinates of your position as you travel from New Jersey around the country, and back again to New Jersey. 
Remember to show all of your work!!! 
Plot the coordinates on your map of the United States. 2. Track your Journey 
Look at the map to visually identify different rates of change. 
Find the rate of change for the different trips specified. Piscataway High School Algebra 1 Summer Assignment 2015 I. Map Your Mathematical Road Trip! Directions: Solve each of the following problems. Remember to show all of your work. The solutions will give you the x and y‐coordinates of the points you will plot on your map, in order, as you travel from New Jersey, around the country, and back. NOTE: You do not retrace your path to return home.
Bon Voyage: Start your trip from New Jersey! Solving Equations: Solve each equation to reveal the x and y for each location. Show all of your work.
State #1) NEW JERSEY x‐coordinate:3
33 1 y‐coordinate:  Plot the point ( , ) on your map! State #2) x‐coordinate: 9
21 y‐coordinate: 2
4
8 11
3  Plot the point ( , ) on your map! State #3) x‐coordinate: 5
3
17 y‐coordinate: 2
 Plot the point ( , ) on your map! BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER!
2
Piscataway High School Algebra 1 Summer Assignment 2015 Solving Equations: Solve each equation to reveal the x and y for each location. Show all of your work.
State #4) x‐coordinate: 3 2
4
0 y‐coordinate: 2 4
2
16  Plot the point ( , ) on your map!
State #5) x‐coordinate: 5 2
10
30 y‐coordinate: 2 9
8  Plot the point ( , ) on your map! State #6) x‐coordinate: 8
16
10 y‐coordinate: 6
9
10  Plot the point ( , ) on your map! BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER!
3
Piscataway High School Algebra 1 Summer Assignment 2015 Solving Equations: Solve each equation to reveal the x and y for each location. Show all of your work.
State #7) x‐coordinate:5
4
3
8 y‐coordinate: 4
1
15
3  Plot the point ( , ) on your map! State #8) x‐coordinate: y‐coordinate:  Plot the point ( , ) on your map! BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER!
4
Piscataway High School Algebra 1 Summer Assignment 2015 Solving Equations: Solve each equation to reveal the x and y for each location. Show all of your work.
State #9) x‐coordinate: 6
2 y‐coordinate: 3
 Plot the point ( , ) on your map! RETURNING HOME TO NEW JERSEY!!! State #10) x‐coordinate: ‐3x + 2x +14 = 3 y‐coordinate: 4y + 6 – 2y = 10  Plot the point ( , ) on your map! BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER!
5
Piscataway High School Algebra 1 Summer Assignment 2015 II. Track Your Journey! Based on your work from last year, remember that the rate of change between two points is: 1. Trace your journey (connect the dots with straight lines) from State #1 New Jersey around the country and back to New Jersey. Looking at your map: a. Circle all line segments that represent positive rates of change. State #1 to State #2 State #7 to State #8 State #6 to State #7 State #2 to State #3 State #3 to State #4 State # 8 to State #9 Explain how you can spot positive rates of change by looking at a graph. b. Circle all line segments that represent negative rates of change. Explain how you can spot negative rates of change by looking at a graph. State #1 to State #2 State #2 to State #3 State #7 to State #8 State #3 to State #4 State #6 to State #7 State # 8 to State #9 c. Circle all line segments that represent a zero rate of change. State #1 to State #2 State #7 to State #8 State #6 to State #7 State #2 to State #3 State #3 to State #4 State # 8 to State #9 Explain how you can spot zero rates of change by looking at a graph. 6
Piscataway High School Algebra 1 Summer Assignment 2015 2. Find the rate of change between each destination pair on your journey, listed below. Show your work. a. State #1 (New Jersey) to State #2 b. State #2 to State #3 c. State #5 to State #6 d. State #7 to State #8 e. State #8 to State #9 7
Piscataway High School Algebra 1 Summer Assignment 2015 Algebra 1 Summer Assignment Scoring Rubric Score
5
(100%)
Criteria
The project has a complete response to each question with a detailed explanation where
necessary. The work has no math errors and shows complete understanding of the
questions, mathematical ideas, and processes.
4
(90%)
The project has a good solid response to each question with a clear explanation where
necessary. The work has no major math errors or serious flaws in reasoning and shows
substantial understanding of the problem, ideas, and processes.
3
(80%)
The project has a response to each question with explanations where necessary. Work may
contain some misunderstandings or the explanations may lack clarity, but overall shows a
basic understanding of the problem, ideas, and processes.
2
(65%)
The project has incomplete or missing responses to some questions and given explanations
are unclear. The work includes some serious math errors or flaws in reasoning and the
responses show only some understanding of the problem.
1
(50%)
The responses miss key points or several components of the project are not completed. The
work includes major math errors or serious flaws in reasoning with responses showing a
complete lack of understanding for the problem.
0
(0%)
Project is not handed in.
Late Projects All late projects will be graded according to the above criteria. Once a grade has been determined, the student will lose 5 points for each day the project is late. Example If the students receives a 3, which is 80%, and hands the project in 2 days late, their final grade will be 70%. They lost 5 points for each of the 2 days late for a total of 10 points deducted. 8