Keystone Exam Project Based Assessment

Transcription

1 Keystone Exam Project Based Assessment Title: Winter Fun Fair Keystone Exam: Algebra 1 Module: 2 Linear Functions and Data Organizations Eligible Content Assessed: A Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. A Create, interpret, and/or use the equation, graph, or table of a linear function. A Translate from one representation of a linear function to another (i.e., graph, table, and equation). A Identify, describe, and/or use constant rates of change. A Write or identify a linear equation when given the graph of the line, two points on the line, or the slope and a point on the line. Note: Linear equation may be in pointslope, standard, and/or slopeintercept form. A Determine the slope and/or y-intercept represented by a linear equation or graph. A Calculate and/or interpret the range, quartiles, and interquartile range of data. A Analyze data; make predictions, and/or answer questions based on displayed data (boxand whisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations). A Make predictions using the equations or graphs of bestfit lines of scatter plots. A Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent. A Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot. Introduction: Your school is trying to raise money for a new student center at the High School. In order to raise money you are having the annual Winter Fun Fair and all proceeds will go into the funds for the student center. The fair is going to have a variety of 1

2 games that students can play and snack bars to purchase food at. Assume the role of the chairperson for a Winter Fun Fair at your school. The goal of the fair is to raise money to build a student center. Plan and complete each of the Fun Fair activities listed. Submitted for Scoring: A completed packet to your monitor/proctor with all parts completed and all necessary work shown. (all activities will be scored) Task Directions: Read all text in the packet Complete your student/monitor checklist as you work Check packet for errors and ensure completion before submitting Refer to scoring guide as you create your presentation TASK 1: Activity 1: Given the figures for ten years of Fun Fair attendance, find the measures of central tendency for attendance over the past ten years. Find the mean, median, mode, and range. Activity 2: Using the data in the attendance table, create a scatterplot. Activity 3: On the graph from Activity 2, draw the line of best fit. Write the equation that defines the line, and identify your slope and y-intercept. Activity 4: Using the equation from Activity 3 and an attendance table, predict attendance in a future year. Activity 5: Using the equation from Activity 3, predict when future attendance will reach a certain number. Tutor Check Point TASK 2: Activity 1: Given the cost of the rental of a rock wall (initial fee plus hourly rate), write an equation to represent the total cost. Activity 2: Given an additional cost function, complete a table of values to determine the total cost, when given a specific number of hours. Activity 3: Using data from the table in Task B Part 2, create a graph on a coordinate plane. Activity 4: Given the values in a table, identify a pattern to determine the missing values and create an equation to represent the table. Tutor Check Point 2

3 TASK 3: Activity 1: Using a spinner (game), determine the probability of one color with one spin. Activity 2: Playing the spinner game twice, determine the probability of one color with two spins. Activity 3: Playing the spinner game twice, determine the probability of two different colors with two different spinners. Tutor Check Point TASK 4: Activity 1: Given a set of data values, analyze the corresponding box and whisker plot, and identify and correct the existing errors. Activity 2: Make a prediction about profit from pizza sales using a box and whisker plot. Tutor Check Point TASK 5 Activity 1: Given snow fall data, identify the constant rate of change Activity 2: Write an equation to represent the amount of snow fall. Activity 3: Use the equation to make a prediction regarding total snow fall. Tutor Check Point and project submission Culminating Product: Completed packet Completion of calculations associated with all tasks for the module as indicated in the evaluation checklist. Satisfactory performance will be based upon an assessment of all activities. 3

4 Winter Fun Fair Student/Monitor Checkpoints Student Monitor Date Completed Checkpoints Task 1 Eligible Content ACTIVITY 1:Find the measures of central tendency for attendance over the past ten years (mean, median, mode, and range) ACTIVITY 2: Use data to create a scatterplot. ACTIVITY 3: Draw the line of best fit and write the equation that defines the line. Identify the slope and y- intercept. ACTIVITY 4:Predict attendance in a future year ACTIVITY 5:Predict when future attendance will reach a certain number Task 2 A A A A A A ACTIVITY 1: Write an equation to represent the total cost of a rock wall ACTIVITY 2: Complete a table of values to determine the total cost, when given a specific number of hours. ACTIVITY 3: Create a graph on a coordinate plane from a function ACTIVITY 4: Identify a pattern to determine the missing values and create an equation to represent the table. Task 3 A A A A A

5 ACTIVITY 1: Determine the probability of one color with one spin from a spinner. ACTIVITY 2: Determine the probability of one color with two spins of a spinner (two separate games) ACTIVITY 3: Playing the spinner game twice, determine the probability of two different colors with two different spinners. Task 4 ACTIVITY 1: Given a set of data values, analyze the corresponding box and whisker plot, and identify and correct the existing errors. ACTIVITY 2: Make a prediction about profit from pizza sales using a box and whisker plot. 8 th grade EC A A A A Task 5 ACTIVITY 1: Given snow fall data, identify the constant rate of change A ACTIVITY 2: Write an equation to represent the amount of snow fall. A ACTIVITY 3: Use the equation to make a prediction regarding total snow fall. A

6 Pennsylvania Project Assessment Algebra I Keystone Module 2 Linear Functions and Data Organizations Winter Fun Fair Name Date(s) Teacher 6

7 Winter Fun Fair Introduction Your school is going to have a Winter Fun Fair to raise money to build a student center at the High School. The Winter Fun Fair will have various games that students can play and a snack bar to purchase food. 7

8 Task 1 Expected Attendance The attendance for the past 10 years of Winter Fun Fair is displayed in the table below. Number of Students in Years Attendance Activity 1: Find the measures of central tendency for the attendance over the past 10 years of the Winter Fun Fair. Mean = Median = Mode = Range = 8

9 Activity 2: Using the data in the attendance table, create a scatter plot below. Activity 3: On your graph for Activity 2, draw a line of best fit. Write the equation for the line of best fit below. Clearly identify your slope and y-intercept. Use the provided space to record all your work. Equation of Line of Best Fit = Slope = y-intercept = 9

10 Activity 4: Using your equation from Activity 3 and the table for attendance below, predict the number of students that will be in attendance at the Winter Fun Fair for year 11? Show your work below. Number of Students in Years Attendance ? Predict the Number of Students for Year 11 = Activity 5: Using your equation from Activity 3, in what year would the attendance be more than 400 people? Show your work. 10

11 TUTOR CHECK POINT Task 2 Rock Wall Rental The planning committee for the Winter Fun Fair would like to rent a rock wall. The cost to set up the rock wall is $85 plus the rental fee of $8 per hour. Activity 1: Write an equation to represent the total cost to rent the rock wall. Let C represent the total cost and h represent hours. Equation Activity 2: The planning committee was able to find another company to rent a rock wall from that would cost less. The cost function to set up and rent the rock wall at this cheaper fee is: C = 6h +50. Complete the table below for the total cost to rent the rock wall. Number of Hours Total Cost to Rent the Rock Wall C = h

12 Activity 3: Using the data from the table in Activity 2, create a graph on the coordinate plane below. Activity 4: A third company offered the rental of their rock wall. The table below shows the total cost to rent their wall. Analyze the given data and complete the missing hours. What is the equation for the total cost to rent the rock wall? Number of Hours Total Cost to Rent the Rock Wall ? 12

13 ? 480 TUTOR CHECK POINT Task 3 Games About Probability Students will use the spinner below Activity 1: Jose plays the spinner game one time. He puts his money on purple. What is the probability that the spinner will land on purple? Activity 2: Destiny plays the spinner game two times. She puts her money on blue the first game and blue the second game. 13

14 What is the probability that the spinner will land on blue on the first spin and blue on the second spin? Activity 3: Peter plays the spinner game two times. He puts his money on green the first game and red the second game. What is the probability that the spinner will land on green the first spin or red on the second spin? TUTOR CHECK POINT 14

15 Task 4 Pizza Sold at Snack Bar Activity 1: A student in correctly created the box and whisker plot below from the listed data. Identify the parts of the box and whisker plot that are incorrect and create a correct one below. Show your work. # of Pizza Slices Sold Year Slices Number of Pizza Slices sold at Snack Bar Activity 2: Provide a prediction about profit from pizza sales using the correct box and whisker plot? 15

16 Task 5 It s Snowing! In the middle of the Winter Fun Fair, it started to snow! Students measured the amount of snow after each hour. Those measurements are displayed in the table below. Hours Amount of Snow Fall (in inches) Activity 1: At what constant rate is the snow falling? Activity 2: Using the data from your table above, create an equation that represents the total amount of snow on the ground. Activity 3: If the snow continued to fall at the constant rate in Task 5a, how much snow would be on the ground in 12 hours? TUTOR CHECK POINT 16

17 Satisfactory Yes Satisfactory No Student/Monitor Checklist Task 1 Eligible Content Find the measures of central tendency for attendance over the past ten years (mean, median, mode, and range) Use data to create a scatterplot. Draw the line of best fit and write the equation that defines the line Identify the slope and y-intercept Predict attendance in a future year Predict when future attendance will reach a certain number Task 2 A iew.ashx A /view.ashx A /view.ashx A /view.ashx A /view.ashx A Write an equation to represent the total cost of a rock wall Complete a table of values to determine the total cost, when given a specific number of hours. Create a graph on a coordinate plane from a function Identify a pattern to determine the missing values and create an equation to represent the table. Task 3 A iew.ashx A A A A /view.ashx 17

18 Determine the probability of one color with two spins of a spinner (two separate games) Playing the spinner game twice, determine the probability of two different colors with two different spinners. Task 4 Given a set of data values, analyze the corresponding box and whisker plot, and identify and correct the existing errors. Make a prediction about profit from pizza sales using a box and whisker plot. Task 5 Given snow fall data, identify the constant rate of change Write an equation to represent the amount of snow fall. Use the equation to make a prediction regarding total snow fall. A A /view.ashx A iew.ashx A iew.ashx iew.ashx iew.ashx A /view.ashx A A