Algebra 1 Summer Assignment 2014 DUE YOUR FIRST MATH CLASS OF THE SCHOOL YEAR

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1 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 the free websites below: 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. 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 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. This website gives an interactive map of the United States. THERE ARE THREE 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. 3. Make a brochure documenting your Mathematical Road Trip. Your brochure should include: A list, in order, of the states in which you plotted points on the map. The capital of each state you visited. One other fact of interest about each state you visited. For example, you can give the state bird, a popular tourist attraction in the state, etc. Some decorative illustrations. Be creative and have fun!

2 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: 3x = 33 y-coordinate: y = 1 2 State #2) x-coordinate: x + 9 = 21 y-coordinate: 2y 4= 8 State #3) x-coordinate: 5x 3 = 17 y-coordinate: 2y + 11 = 3 2

3 BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER! Solving Equations: Solve each equation to reveal the x and y for each location. Show all of your work. State #4) x-coordinate: 3(2x + 4) = 0 y-coordinate: 2(4 2 y) = 16 State #5) x-coordinate: 5(2x + 10) = 30 y-coordinate: 2(9 y) = 8 State #6) x-coordinate: 1 (8 x + 16) = 10 y-coordinate: 4 2 (6 y + 9) = 10 3 BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER! 3

4 Solving Equations: Solve each equation to reveal the x and y for each location. Show all of your work. State #7) x-coordinate: 5x 4= 3x 8 y-coordinate: 4y+ 1 = y State #8) x-coordinate: 2x x+ 2 = 6 5 y-coordinate: y 4 = 5 10 BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER! 4

5 Solving Equations: Solve each equation to reveal the x and y for each location. Show all of your work. State #9) x-coordinate: x = y-coordinate: y + = 4 4 RETURNING HOME TO NEW JERSEY!!! State #10) x-coordinate: 3x+ 2x+ 14 = 3 y-coordinate: 4y+ 6 2y = 10 5

6 BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER! II. Track Your Journey! Based on your work from last year, remember that the rate of change between two points is: changein y y2 y1 rate of change = = change in x x2 x1 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. Explain how you can spot positive 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 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. Explain how you can spot a zero rate 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 6

7 State #6 to State #7 State # 8 to State #9 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

8 III. Make a Brochure 1. Now MAKE A BROCHURE of the states in which you plotted points. Your brochure should include: a. A list, in order, of the states you plotted points in on the Map Your Mathematical Road Trip project. b. The capitol of each state you visited. c. One other fact of interest about each state you visited. For example, you can give the state bird, a popular tourist attraction in the state, etc. d. Some decorations or illustrations. Be creative and have fun! Brochure must be a tri-fold (see examples) made from a sheet of paper no smaller than a 8 ½ by 11 and no bigger than a 22 by 28 poster board. Here are examples of how you can fold your brochure: Barrel Fold Brochure: Z-Fold Brochure: I,, have tried to the best of my ability to understand and complete the problems in this Algebra Summer Assignment. Student Signature Parent Signature 8

9 Algebra 1 Summer Assignment Scoring Rubric DUE YOUR FIRST MATH CLASS OF THE SCHOOL YEAR The Algebra 1 Summer Assignment will be scored as follows: Components Percentage I. Map Your Mathematical Road Trip (50%) 40% For completed problems (2% per x or y-value) 10% completed map II. Track Your Journey (25%) 10% #1. Looking at the graph 15% # 2. Finding rates of change(3% each) III. The Brochure (20%) 5% A list, in order, of the states plotted on the map 5% The capital of each state visited 5% One other fact of interest about each state 5% Creativity, decorations, illustrations IV. Parent Signature (5%) 5% Total: 100% Students will receive the following credit for each problem in section I Map Your Mathematical Road Trip Completion Question is answered correctly and relevant work is shown. Question incorrect but relevant work is shown. or Question is correct but no work is shown. Question is not answered or no work is shown where specified. 9

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