Www.veronaschools.org



Verona High SchoolAlgebra CP 1 2016 Summer AssignmentAll VHS incoming freshmen who are taking Algebra CP 1 must complete this summer assignment.The completed assignment is due on the first day of school, Tuesday, September 6th.There are three multi-part problems that are based on work you have done in middle school.All work is to be done on your own—no parents, siblings or friends. You may use textbooks or internet resources to help you understand the problems but you cannot use any solutions to the problems in this packet you may find online.If you need any help with these problems, Mr. Cashill of the VHS Math Department will be happy to assist you. He can be reached via email at rcashill@. A link to this packet is posted on Google Classroom. You can join this class with the following code: 7a1i1i8.Please print your name and sign the Academic Integrity pledge below. If you are not sure of what constitutes “unauthorized aid” please contact Mr. Cashill.Student Name: ______________________________________ “On my honor, I have neither given nor received any unauthorized aid on this assignment.”Student Signature: ______________________________________Summer Problem #1: Are You Ready for Some Football?(6.EE.1, 6.EE.2, 6.EE.9, 7.NS.1, 7.NS.2, 7.EE.3, 7.EE.4, A-CED.4) We will soon be in the midst of another exciting NFL season just as we come back to school in September. Aside from the actual football games being played, a “fantasy” game based on the National football League (NFL) is becoming more and more popular. Fantasy football is played by an estimated 25 to 30 million people each year. To play, contestants join or form a league and have a draft to form their own teams comprised of NFL players. Each person in the league typically drafts an NFL quarterback, running backs, wide receivers, etc. The more offensive production out of your players, the more points you get, the more games your team wins League scoring systems vary, but players usually earn points for touchdown passes, passing yard, rushing yards, receiving yards and receptions with interceptions and fumbles earning negative points. Websites such as and Yahoo Sports who host fantasy leagues use formulas to compute the number of points each player and team totals in an NFL weekend.4962525000QuarterbacksLet’s look at an example with quarterback scoring:Touchdown Passes = 6 points Passing Yards = 0.05 points Interceptions = -2 pointsIn week one of the 2015 – 2016 season Tom Brady threw four touchdown passes, had 510 passing yards and threw one interception. Find the number of fantasy points Tom Brady scored this week. Show your work below.In week two, Andrew Luck threw one touchdown pass, had 420 passing yards and three interceptions. Find the number of fantasy points Cam Newton scored this week. Show your work below.Look back at your method for finding total points in the previous two problems. Write a formula or rule that gives the points (p) as a function of the number of touchdowns (t), passing yards (y), and interceptions (n).Drew Brees threw for 180 yards, had three interceptions and ended with 15 total points. Use your rule from above to find the number of touchdown passes he threw for. Show your work below.Peyton Manning had a total of 35 fantasy points. He had four touchdowns, one interception. Use your rule to find the number of passing yards he threw for. Show your work below.Eli Manning had 18 total fantasy points. He had one touchdown pass and 320 passing yards. Use your rule to determine how many interceptions he threw. Show your work below.435292515875000Wide Receivers and Tight EndsSome leagues use the following scoring system for wide receivers and tight ends:Receptions = 0.2 points Receiving Yards = 0.1 point Touchdowns = 6 points Fumbles = -2 pointsWrite a rule that calculates the number of fantasy points for a wide receiver. Explain what each term in your rule represents. Show your work below.Use your rule to find the number of fantasy points earned by Odell Beckham, Jr. who had seven receptions, 100 yards, two touchdowns and no fumbles in week seven. Show your work below.The wide receiver on my fantasy team scored 24 fantasy points on Sunday. There are numerous combinations of receptions, receiving yards, touch downs and fumbles that would total 24 fantasy points. Show two different combinations using all four methods of scoring to total 24 fantasy league points.467677510731500Running BacksSome leagues use the following scoring system for running back:Receptions = 0.2 points Receiving Yards = 0.1 point Rushing Yards = 0.1 point Touchdowns = 6 points Fumbles = -2 pointsIn week seven of the NFL season, which running back scored more fantasy football points? Show all work.Trebor Llihsac who had 120 yards receiving, 5 receptions and 2 touchdowns and 115 rushing yards ORTodd Gurley who had 253 rushing yards, zero fumbles, zero receiving yards, zero passing yards and one touchdown.Write an algebraic expression that gives the total points scored by any player for any number of p passing yards, r rushing yards, v receiving yards, c receptions, t touchdowns and f fumbles or interceptions. Bonus Points for correctly naming the three old time players whose pictures are shown. You can use your father’s or grandfather’s help on this one.Summer Problem #2: Who is Going Back to School?(6.RP, 6.EE, 6.SP, 7.RP, 7.SP, 7.EE) According to the U.S. Census Bureau’s 2010 data, 78 million students are projected to be enrolled in the nation's elementary and secondary schools (Kindergarten—12th Grade).(Source: U.S. National Center for Education Statistics as cited in the Statistical Abstract of the United States: 2010, Table 214)Use the table below to answer the questions on school enrollment.2010200019901960Population of United States308,745,538281,421,906248,709,873179,323,175Number of Students Enrolled78,519,00060,588,000% of Students Enrolled in School25.6725.80Write two different mathematical statements comparing any of the data in the table.Using the 2010 Census statistics, what percent of the US population was enrolled in K-12 schools in September, 2010? (Please show your work.)Using the 2000 Census statistics, about how many students were enrolled in K-12 schools in 2000? (Please show your work.)Using the 1990 Census statistics, what percent of the US population was enrolled in K-12 schools in 1990? (Please show your work.)Using the 1960 Census statistics, about how many students were enrolled in K-12 schools in 1960? (Please show your work.)Do these data imply that the US population is getting older, younger, less educated, more educated, or something else? Explain your reasoning.There are approximately 14.8 million computers for use in the classroom in the United States according to the 2010 Census. Use the data in the table to determine, on average, how many students would one computer serve?201020001990Population of New Jersey6,547,6296,349,0976,016,425What percent of the people who lived in the United States in 2010 lived in New Jersey?Based on the 2010 census, how many students would you guess were enrolled in K-12 schools in New Jersey in 2010?According to the 2010 Census the average annual earnings based on the highest level of education attained are as follows: Highest Education LevelAnnual Earnings$ Difference Between No High School Diploma Income & Others% Change from No High School Diploma Income & OthersNo High School Diploma$21,02300.00%High School Diploma$31,283Bachelor’s Degree From College$58,613Advanced College Degree$83,144Use the table above to help you calculate the difference in earnings between people with no high school diploma and people with high school diplomas, bachelor’s degrees and advanced degrees. Show your work here.Based on this data, how much would a person earn in his lifetime if he worked to age 65. Assume that the person earns the average Salary every year until he retires. Show all of your calculations.Highest Education LevelAnnual EarningsAge When Leaving SchoolTotal Lifetime EarningsNo High School Diploma$21,02316High School Diploma$31,28318Bachelor’s Degree From College$58,61322Advanced College Degree$83,14425 What is the % change in lifetime earning between a person with no high school diploma and one with a bachelor’s degree from college?Problem #3: Predicting the Future(CCSS: 8.SP.1 , 8.SP.2 , 8.SP.3 ,?HSF-IF.B.6?,?HSS-ID.B.6) On opening weekends, a movie’s opening gross income is often used as a way of measuring the movie’s eventual success. Can you predict a movie’s total gross income from its opening weekend count? The table on the next page has data on 18 movies that you might have seen. We’ve included the gross amount that they earned on their opening weekend and the gross amount that they have earned in the United States since they came out. I’ve also left a few blank lines in the chart above for you to add your favorite movies. You can find the opening weekend and final gross data at off whether or not you have seen the movies.Find the ratio between total income and opening weekend income for each movie. Round to one decimal place. The ratio for Amazing Spiderman 2 has been done for you.I am wondering if you can predict what this movie’s total gross income will be from studying the opening weekend data. Maybe there is a pattern between the opening weekend data and the final gross total income of the movie. Let’s see if that is true.Selected Movie Grosses Movie TitleI’ve Seen This MovieOpeningUS Gross($ Millions)Total US Gross ($ Millions)Ratio:Total $ to Opening $Opening DateAmazing Spider Man 217172172/17 =10.15/2/14The Vow411232/10/12Frozen6740111/22/13Dr. Seuss' The Lorax701773/2/12Monsters University822686/21/13Godzilla 2014932015/16/14Toy Story 31104156/18/10Harry Potter and the Deathly Hallows Part 112529611/19/10Pirates of the Caribbean: Dead Man's Chest1364237/7/06The Twilight Saga: Breaking Dawn Part 113828111/18/11The Twilight Saga: New Moon14329711/20/09Spider-Man 31513375/4/07The Hunger Games1533963/23/12The Hunger Games: Catching Fire15842511/22/13Harry Potter and the Deathly Hallows Part 21693817/15/11Iron Man 31744095/3/13Avengers 2: Age of Ultron1884595/1/15Star Wars: The Force Awakens 23893712/18/15What is the Range of opening weekend grosses for these movies? What is the range for the total grosses? Show your work.What is the Median of opening weekend grosses for these movies? What is the median for the total grosses? Show your work.What is the Mean of opening weekend grosses for these movies? What is the mean for the total grosses? Show your work.On the next page I’ve created a graph for you to use to create a Scatter Plot. The horizontal axis will represent the Opening Weekend Income of each film. The vertical axis will be the Final Gross Income of the movie. Plot the data from the table on the chart.-320040-3810000Is the relationship between Opening Weekend Income and the film’s Final Income a linear association or something else? How can you tell? Describe the association between the two variables.Draw a Line of Best Fit. (A straight line that balances the vertical distance of all of the points and the line itself) that best models the data. How do you decide where to draw your line? (Hints: Try to have as many points over the line as under it. Also, your line should intersect the y-axis above the $0 point. Use a piece of dry spaghetti to eyeball the correct line before you draw it.)Based on the data you graphed above and your Line of Best Fit, how much would you expect movies to make in total gross income that had opening weekends of:$60 million$80 million$100 million$180 million? Write a linear equation for your line of best fit (y = mx + b). This equation should give a reasonable (yet rough) prediction of the amount of money a movie will gross for any opening weekend total. To find the equation of your line of best fit:Pick any two points on the line where you can easily estimate the coordinates. Use the formula for slope: m = (y2 – y1)/(x2 – x1). Round the slope to one decimal point.Find the y-intercept.The equation of MY Line of Best Fit is: Pick any three movies in our list and, using your equation, find the estimated total gross income based on their opening weekend gross income. Compare the estimates with the actual. Show your work below.MovieOpening $Actual Total $Estimated Total $Difference = Actual - Estimated422148021907500 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download