MATH HOMEWORK PACKET Day Homework Assignments Tuesday, 1/26 Fluency (separate packet) Content – Central Tendency from a Dot Plot (pages 1-2) Wednesday, 1/27 Fluency (separate packet) Content – Central Tendency Extension (pages 3-4) Thursday, 1/27 Fluency – (separate packet) Content – Deviation (pages 5-6) Friday, 1/28 Fluency – (separate packet) Content – Review One Step Inequalities and Equations (pages 7-8) Monday, 2/1 Fluency – (separate packet) Content – Define and Calculate Quartiles (pages 9-10) *Please be sure to SHOW ALL OF YOUR WORK! * It is YOUR responsibility to complete ALL assignments by the due date. Visit the 6th FOR EXTRA HELP: grade website bvp2026.weebly.com OR call/text OR email us! Ms. Church - (401)500-3307 achurch@blackstonevalleyprep.org Ms. Staskelunas – (401) 871-0259 mhaynes@blackstonevalleyprep.org Ms. Volpe - (401) 871-8912 kvolpe@blackstonevalleyprep.org This packet will be collected during advisory on: Tuesday, February 2, 2016 Read Dot Plots and Calculate Measures of Central Tendency HW A group of people played a trivia game. Below are their scores: a. List the data points represented in the dot plot. b. What is the mean? d. What is the mode c. What is the median? e. What is the range? 1. 2. Ms. Turner’s art class counted the number of finger puppets they had made. List the data points represented in the dot plot. Be sure to double check! What is the mean? What is the median? What is the mode? What is the range? g. What percent of players jumped higher than 40 inches? Central Tendency Extension SWBAT calculate measures of central tendency A scientist measured the length of hissing cockroaches. The lengths are listed in centimeters: 2.6, 1.3, 3.4, 1.5 Mean Median Mode Range A cold spell in Helsinki, Finland, is shown in data points below. Each point is in Fahrenheit. -6, 0, 8, -1, -1, -10, 4, 1 What was the average temperature? How spread apart were the temperatures? At least half of the cold spell was ________ degrees or colder. 3. Andy has grades of 94, 65, and 70 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests? 3a Given that the test is out of 100, is it possible for Andy to get an average greater than 84? Why or why not? 5 gallons of gas costs $35.50. 12.5 gallons of gas cost $43.25. What is the cost of 1 gallon? What is the cost of 1 gallon? Write the algebraic expression for 2 more than 3 times a number. Write the algebraic expression for 5 less than half of a number. What is the largest value of n that makes this true? 4n<100. Prove your answer! Deviations SWBAT calculate the deviation of each data point from the average in a data set of ten points or less. In 2011, the universities of the United States were ranked by US News. The average cost of these schools is $42,454. Use the chart below to find the deviation from the average for each school. Show your work on the side or bottom of this sheet. US Rank University Tuition 1 Harvard University $40,866 2 Princeton University $38,650 3 Yale University $42,300 4 Columbia University $47,246 5 University of Chicago $44,574 6 Massachusetts Institute of Technology $42,050 7 Stanford University $41,787 8 Duke University $43,738 9 University of Pennsylvania $43,738 10 California Institute of Technology $39,588 Deviation Alice, Raul, and Maria are baking cookies together. They need 3/4 cup of flour and 1/3 cup of butter to make a batch of cookies. They each brought the ingredients they had at home. Alice brought 2 cups of flour and 1/4 cup of butter Raul brought 1 cup of flour and 1/2 cup of butter 1 Maria brought 14 cups of flour and 3/4 cup of butter If the students have plenty of the other ingredients they need (sugar, salt, baking soda, etc.), how many whole batches of cookies can they make? Step 1 – Find the total amount of flour that the three friends brought. Step 2- Find the total amount of butter that the three friends brought. Step 3 – Divide the total butter that the friends have by the amount of butter you need for each batch of cookies. Step 4 – Divide the total amount of flour that the friends have by the amount of flour that you need for each batch of cookies. Step 5 – Determine how many total batches you can make. Remember, you need to have enough butter AND flour. Equations and Inequalities SWBAT solve equations and inequalities Solve. Then, substitute your answer back in to prove your work. 9c = 36 40 = 0.5r 0.25f = 10 Prove with substition Prove with substition Prove with substition 36 = 12j 28 > 7y 4h = 32 Prove with substition Prove with substition Prove with substition 12 = r + 5 11 < d-4 9 ≥ g + 12 Prove with substition Prove with substition Prove with substition 𝑐 ≤5 15 2.2 = 14 K–5>6 Prove with substition Prove with substition Prove with substition 𝑏 Calculate Quartiles SWBAT solve equations and inequalities Directions: Read the questions below carefully. SHOW YOUR WORK. 1. Define quartile. 2. What is the first quartile? 3. What is the second quartile? 4. What is the third quartile? 5. Calculate the first, second, and third quartiles of the data set. 3, 4, 9, 16, 17, 18, 24, 24, 27 6. Calculate the first, second, and third quartiles of the data set. 41, 49, 53, 48, 37, 29, 56, 61, 45, 47 REVIEW. 1. Solve the following. Simplify if necessary. Show all work!!!!! b. a. 3 1 5 2 + = + = 10 2 8 9 d. 3 1 7 5 9 + = 4 6 + 2 5 = f. e. 2 c. 1 + = 3 6 3 + = 7 5