Using a Graphing Calculator

Transcription

1 Using a Graphing Calculator Unit 1 Assignments Bridge to Geometry Name Date Period

2 Warm Ups Name Period Date Friday Directions: Today s Date Tuesday Directions: Today s Date Wednesday Directions: Today s Date

3 Warm Ups Friday Directions: Today s Date Wednesday Directions: Today s Date Friday Directions: Today s Date

4 20 Name Date Period Benchmark Preview 1 To add or subtract decimals, first line up the decimal point then add or subtract as needed (-4.8) = = = -13 (-2.4) = To add or subtract fractions, first find a common denominator then add or subtract as needed = = = = To multiply fractions, first convert any mixed numbers to improper fractions, look for any factors that simplify, then multiply straight across the top, and straight across the bottom = = = = To divide fractions, first convert any mixed numbers to improper fractions, multiply by the reciprocal, then look for any factors that simplify = = = = To perform exponent operations, expand the base being careful to watch for any negative signs. 2 5 = (-3) 4 = -(-4) 5 = -3 2 =

5 Name Date Period Scatterplots, Association, and Residuals Ranger Sarah is responsible for monitoring the population of the elusive Gray s nightengale in Holly State Park. She would like to find a relationship between the Maile oak trees (their preferred nesting site) and the number of nightengales in the park. She randomly selects 7 different areas in the park and painstakingly counts the Maile oaks and Gray s nightengales in each area. Oaks Nightengales a. Make a scatterplot and describe the association. association (form, direction, strength, outliers): b. Calculate the LSRL and then sketch the line of best fit on your scatterplot. Round to the nearest tenth. What is the LSRL? c. Interpret the slope and y-intercept of your model in context. d. About how many nightengales would Ranger Sarah expect to find in a particular area with 6 oaks? e. Sarah went back to Holly Park and observed 4 nightengales on the plot with 6 oaks. What is the residual for this particular area?

6 Name Hour Date Scatter Plots and Lines of Best Fit Worksheet 1. MUSIC The scatter plot shows the number of CDs (in millions) that were sold from 1999 to If the trend continued, about how many CDs were sold in 2006? 2. FAMILY The table below shows the predicted annual cost for a middle income family to raise a child from birth until adulthood. Draw a scatter plot and describe what relationship exists within the data. 3. Make a scatter plot of the data in the table. Draw a line of best fit. What is the equation of the line of best fit? X Y EDUCATION The table at the right gives Study Hours the number of hours spent studying for a Grade science exam and the final exam grade. a. Draw a scatter plot of the data and draw in the line of best fit. b. What is the equation for the line of best fit? c. Predict the grade for a student who studied for 6 hours. d. Could this line go on forever? Why or why not?

7 17 Name Date Period Benchmark Preview 2 Mixed Review: (-4.8) = = -5 2 = (-3) 3 = = = = = Use the Distributive Property and simplify: 3(2x 1) + 2(x 4) = 2(2x + 5) 3(2x 5) = -4(x + 2) 5(3x + 1) Percents: 50 is 80% of what number? 25 is what percent of 150? What number is 20% of 170? Solve: 2x 17 = 31 3x + 9 = 36 2(2x + 4) = 28

8 Scatterplots Describe the correlation you would expect between the data. Explain. 1) The table shows the heights (in feet) of the waves at a beach and the numbers of surfers at the beach. Wave Height Number of Surfers a) Plot the data from the table on the graph. b) Describe the association. c) Describe the relationship between the two data sets. d) How many surfers might be at the beach if the waves were 2 feet high? 2) The scatter plot shows the numbers of lawns mowed by a local lawn care business during one week. a) How many days does it take to mow 30 lawns? b) About how many lawns can be mowed in 1 day? c) Describe the relationship shown by the data. 3) The table shows the numbers of students remaining on an after-school bus and the numbers of minutes since leaving the school. Minutes Number of students a) Plot the data from the table on the graph. b) Describe the relationship between the two data sets.

9 Scatterplots & Line of Best Fit 1) The scatter plot shows the weights y of an infant from birth through x months. a) At what age did the infant weigh 11 pounds? b) What was the infant s weight at birth? c) Draw a line that you think best approximates the points. d) Write an equation for your line. e) A baby of 5 months is actually 14 pounds, what is the residual? f) Use the equation to predict the weight of the infant at 18 months. g) Does the data show a positive, a negative, or no relationship? 2) The table shows the numbers of losses y a gamer has x weeks after getting a new video game. Week, x Losses, y a) Make a scatter plot of the data. b) Find the LSRL. c) Draw the LSRL. What is the residual at 5 weeks? d) Does the data show a positive, a negative, or no relationship? e) Interpret the relationship. 3) The scatter plot shows the relationship between the numbers of girls and the numbers of boys in 10 different classrooms. a) What type of relationship, if any, does the data show? b) Is it possible to find the line of fit for the data? Explain. c) Is it reasonable to use this scatter plot to predict the number of boys in the classroom based on the number of girls? Explain.

10 15 Name Date Period Benchmark Preview 3 Mixed Review: (-7.1) = = -4 3 = = Use the Distributive Property and simplify: 4(x 5) 2(3x 2) = -2(2x 5) + 3(2x 5) = -4(x + 2) 5(3x + 4) Solve: 2x 7 = 31 3x 9 = 45 5(2x + 4) = 35 A car rental company charges $15 per day plus $0.20 per mile. Another car rental company charges $12 per day plus $0.50 per mile. For what mileage will the cost be the same? A drama club sold 120 child tickets and 80 adult tickets to a play. A child ticket cost $3 less than the adult ticket. The club collected a total of $640 from ticket sales. What was the cost of an adult ticket? Solve the absolute value equations: 2 x + 3 = 12 2 x = 12-2 x = -36 x = x = x = x = x = x =

11 Box Plots and Histogram

12 5 Number Summary & Box Plots Find the 5 number summary for each set of data. Show work for at least 3 of them. Then, use it to make a box plot.

13 Histogram Practice

14 How You Repair a Broken Tuba? Complete each table. Write the letter for each frequency in the box above the corresponding value at the bottom of the page. Make a histogram for each set of data. Test Scores for 40 Students Weights for 100 Students (kg) Score - Weight (kg) MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK E O Creative Publications TOPIC 3-e: Histograms

15 15 Name Date Period Mixed Review: Benchmark Preview = = (-7) 2 = = Solve: 4x + 17 = 33-3x + 18 = 12(x 1) 2(2x + 4) = 2(x 4) + 10 James is saving to take an SAT prep course that costs $150. So far he has saved $70, and he adds $16 to his savings each week. How many more weeks must he save to be able to afford the course? One blueprint company charges a $12 setup fee plus $0.50 per print. Another blueprint company charges an $8 set up fee plus $1.50 per print. For how many prints will both companies charge the same amount? Solve: 3 x 5 = x + 9 = 6x 8 + 2x 4(x 3) = 7(x + 12) x = x = 20 is what percent of 160? 20 is 160% of what number? 20% of 160 is what number?

16 BTG: Unit 1 Project Name Date Period One way to determine if the roller coaster is safe is to collect and analyze data. b. Send one person up to record your team s data on the table. Then add the rest of the class data to your own table on the following page. c. Each person should put his or her own initials on a sticky dot, then graph his or her own height vs. reach point on the class graph. Describe the association. d. Find the LSRL.

17 e. Sultan Kosen holds the Guinness World Record for the tallest living male at a towering 8' 3" ( centimeters). Using your equation, decide if Kosen can ride the roller coaster? Name Height (cm) Reach (cm) Name Height (cm) Reach (cm)

18 Paper Airplane Build a paper airplane with a partner. Find a place outside (away from classrooms) to test its flying ability ten times. After each trial, measure the distance and record it below. Throw Throw Distance (inches) Using your data above: (Show work) a. Find the mean of the distances. b. Find the median. c. Find the 5 number summary? d. Make a boxplot.