Summer Calendar for Rising 7 th Grade Students

Transcription

1 Summer Calendar for Rising 7 th Grade Students June 17th Matt is running a frozen yogurt shop for the summer. At the end of a Saturday night, there is a long line outside of the shop, but Matt is running low on yogurt. The meter on the yogurt machine says it has 1/2gallon left. Each cup of yogurt is 1/8gallon. How many more people can Matt serve? June 18 th Emilia and her mom bake together every weekend. Now, it is her mom's birthday, and Emilia would like to bake her mom a cake on her own. The recipe calls for 2/3of a cup of sugar. Emilia has 1/2of a cup of sugar. How much of the recipe can Emilia make? June 19 th Paul practices a tenth of an hour of basketball on, two and a quarter hours of basketball on Saturday, and one and five-sixths hours of basketball on Sunday. How many hours of basketball did he practice altogether? June 20 th Which apple weighs more, one that weighs 2/3 of a pound or one that weighs 5/6 of a pound? June 21 st = = 3. x 8 = 4. = June 24th Usain Bolt, the world's fastest man, set the world record in the 100 metres with a time of seconds. Justin Gatlin, the fastest-ever American in the event, has a personal best of seconds. How much faster is Bolt than Gatlin in the 100 metres? June 25 th The four swimmers on the American women's 4x100 metre relay team went out to dinner at the Olive Garden. Each athlete ordered the Fettucine Alfredo, which cost with tax and tip. What was the total bill?

2 June 26 th Val drove 217 miles from New York to Boston using only 5.3 gallons of gas. Calculate Val's "miles per gallon" for the trip. June 27 th In order to train for a cross state biking trip, Julie rides her bike miles five times a week. How many total miles does she ride each week? June 28 th = = x 2.1 = July 1 st 1. Make up calculations with answers that are as large as possible. For each calculation, choose two different numbers from this list = = = = July 2 nd 1. Make up calculations with answers that are as small as possible. For each calculation, choose two different numbers from this list =

3 = = = July 3 rd As shown on the number line below, krepresents an unknown number between 2 and 3. Plot each of the following, extending the line if necessary: (a) k+3 (b) k 2 (c) k (d) 6 k July 4 th Let krepresent some unknown number between 4and 5. Locate between two consecutive integers each of the following: (a) k (b) k+5 (c) k2+2 (d) k+22 July 5 th Mr. Khum is making a map of a local forest by plotting locations on a coordinate grid, where one unit represents one mile, and the origin represents the campsite. Mr. Khum plots the overlook at (-6,-3), and the waterfall at (-10,-3). What is the distance between the overlook and the waterfall on the map?

4 July 8 th July 9 th Write an expression that represents the number that (a) is 7 more than x (b) is 7 less than x (c) is xmore than 7 (d) exceeds xby 7 (e) is xless than 7 (f) exceeds 7 by x. Choose any number. Double it. Subtract six and add the original number. Now divide by three. Repeat this process with other numbers, until a pattern develops. By using a variable such as xin place of your number, show that the pattern does not depend on which number you choose initially. July 10 th Describe the expression using all of the following words: quotient, sum, variable, constant, term. (x+4)/2 July 11 th Evaluate the formula 36y+12f+iwhen y=2.5,f=2, and i=5 July 12 th In the balance diagram below, find the number of marbles that balance one cube.

5 July 15 th Select the equation(s) where x = 5 is a solution. Circle all that apply. A. 2x + 4 = 14 B. 5x = 55 C. 6x + 3 = 14 D x = 23 E. 6x = 30 F. 5x = 1 July 16 th Tim is training to dunk a basketball. Standing on the ground with his arms fully extended above his head, Tim reaches 84 inches. To dunk the ball, Tim will have to reach 132 inches at the top of his jump. This situation can be represented by the equation 84+j=132,where j is the number of inches that Tim will have to jump. How high will Tim have to jump? Show that your solution is correct using substitution. July 17 th Rhen spent 81 dollars on 3 dress shirts. If each shirt costs the same amount, write an algebraic equation that represents this situation and solve to determine how much each shirt costs. July 18 th Bradley found a silkworm moth that was 2 centimeters longer than average. The equation m _ 4 _ 2 represents this situation. Find the length of the silkworm moth that Bradley found. July 19 th Solve each of the following equations for x: (a) 16x+7x=46 (b) 12x 6x=3 (c) ax+bx=10 (d) px qx=r July 22 nd The Mount Major hike starts in Alton Bay, 716 feet above sea level. The summit is 1796 feet above sea level, and it takes about 45 minutes for a typical hiker to make the climb. Find the rate at which this hiker gains altitude, in feet per minute.

6 July 23 rd Nicki Minaj just bought a new hybrid car that can drive 50 miles on one gallon of gas. Nicki Minaj is trying to understand how many gallons of gas she will use on a long car trip. Use the table and graph below to represent how many gallons Nicki Minaj will have used after 450, 600, and 900 miles. July 24 th Graph the data from the previous problem (day). July 25 th The photograph below is enlarged to make a poster.//

7 (a) How tall is the poster? July 26 th The Millers must make a 70-mile Thanksgiving trip to visit their grandparents. Pat Miller believes in driving at a steady rate of 50 miles per hour. (a) With Pat in the driver s seat, how much time will the trip take? (b) How many miles will the Millers travel in 18 minutes? July 29 th Rihanna is a software developer working on a new photo-sharing app. Before she starts building the app, Rihanna interviews 10 potential customers to find out how many photos they take per week, yielding the data below. 0, 0, 1, 4, 10, 10, 12, 13, 15, 25 (a) What is the mean number of photos taken? (b) The median? (c) Explain what the mean and median tell you about the data set. July 30 th Flo Rida is an employee at Google researching demand for the new Google glasses. Flo Rida surveys a dozen people, and asks each of them how much they would pay, yielding the results below. (a) Summarize the data using the mean. (b) Summarize the data using the median. (c) Which measure provides a better summary of the data? July 31 st The RBIs (Runs Batted In) for 15 players from the 2010 Seattle Mariners and Baltimore Orioles are shown. Use the data to answer the following questions.

8 (a) Find the median of the Mariners RBIs. (b) Find the lower quartile of the Mariners RBIs. (c) Find the upper quartile of the Mariners RBIs. (d) Make a box plot of the Mariners data. (e) Find the IQR of the Mariners data. (f) Find the median of the Orioles RBIs. (g) Find the lower quartile of the Orioles RBIs. (h) Find the upper quartile of the Orioles RBIs. (i)make a box plot of the Orioles data. (j) Find the IQR of the Orioles data. August 1 st Macklemore keeps chickens in his back yard. The weights of Macklemore's chickens (in lbs) are shown. Use these data for the following questions: 14, 6, 5, 7, 7, 5, 6, 7, 6, 6, 4, 5 (a) How many chickens does Macklemore have? (b) What unit is used to measure the chicken's weights? (c) What is the mean weight of the chickens? (d) What is the median weight of the chickens? (e) Does the mean or median better describe the center of this data? Explain. (f) Find the lower quartile and the upper quartile. (g) Make a box plot of the weights.

9 August 2 nd (a) Display the following numbers on a number line: 7, 6, 9, 10, 11, 6, 8, 12, 5, 13, 48 (b) Identify any outliers in the data. (c) Find the mean, median and mode. (d) Which measure of center best describes this data? Explain. August 5 th Find coordinates for all the points on a number line that are (a) six units from 0; (b) six units from four; (c) six units from 7; (d) six units from x. Tuesda y August 4 th Jane and Eric are helping their teacher buy supplies for a research project. Every student will get a bag with 2 pencils and 30 index cards. The teacher gave Jane $17 to buy pencils from the school store. The pencils come in boxes of 12 and cost $1.69 per box. Eric was given $19 to buy index cards at an office supply store. Index cards are sold in packs of 150 cards and cost $2.99 per pack. (a) Jane buys as many boxes of pencils as she can afford. Eric buys as many packages of index cards as he can afford. How many complete bags of supplies can they make?

10 Wednes day August 5 th Each bag contains two pencils and 30 index cards. How much will each bag cost? Give your answer to the nearest cent. Fill in the blank to complete the sentence. Each bag of supplies cost cents to make. Thursda y August 6 th Which of the equations below will answer the following question? Check all that apply. "I think of a number, add 8 and then multiply by 3. My answer is 66. What was my number?" Explain your answers. Find the value of x. August 7 th 15/9 19/12 7/11 10/11 2/9 18 / 15