Seventh Grade Spiraling Review Week 1 of Fifth Six Weeks

Transcription

1 Week of Fifth Six Weeks Note: Record all work in your math journal. Day An aquarium is 30 inches long, 7 inches wide and 8 inches tall. The aquarium is filled with water to a level of inches. A cubic foot of water weighs approximately 6.43 pounds. a) Estimate how many pounds of water are in the aquarium. Justify your response. b) How many pounds of water are in the aquarium? Express your answer as a decimal to the nearest tenths place. Day Day 3 a) Complete the table below. Justify your responses. Item 4 items at $.95 each 6 items at $.03 each Estimate for Each Item Estimated Purchase Adjustment in Estimate Exact Amount 3 items at $6.98 each Sandra works at a pet adoption clinic, and is responsible for keeping a record of the weights of the all the dogs in the clinic. She recorded the following weights in pounds: 3, 5, 4, 8, 34, 4, 8, 6, 5, 4, 8, 0 a) Which weight occurs most frequently? b) What is the range of the data given above? Day 4 A local grocery store is analyzing the ages of the first 5 customers that enter the store every morning. The ages are as follows: 65, 4, 34, 56, 50, 36, 0, 3, 36, 4, 58, 48, 60,, 30 a) What is the difference between the median and the range of this data? b) What is the difference between the median and the mode of this data? The overall score from several players on a 9-hole golf course have been recorded as follows: +, -, -3, +8, 0 (even par), +6, -, +4 a) What is the range of the golf scores? b) What is the mean of the golf scores? 0, TESCCC 03/9/ page of 3

2 Week of Fifth Six Weeks Note: Record all work in your math journal. Day Herman is trying out for the track team and has been recording his 00m dash times over the past week. Monday Tuesday Wednesday Thursday Friday Saturday Sunday. s. s.08 s. s.3 s.04 s s a) What is the difference between Herman s fastest and slowest time, and what measure of data is this referred to as? b) What is the Herman s average time over the week, and what measure of data is this referred to as? Day Cody is working towards a promotion at work, and must increase the number of customers that complete his online survey. His boss said that if he has an average of 70 customers per week complete the online survey; he will be eligible for the promotion. The table below represents Cody s completed surveys thus far: Week 48 Week 84 Week 3 58 Week 4 6 Week 5 60 Week 6? a) What is the mean for this data? b) What is the range for this data? c) What is the minimum amount of customers Cody would need in Week 6 to ensure he is eligible for the promotion? 0, TESCCC 03/9/ page of 3

3 Note: Record all work in your math journal. Day Seventh Grade Spiraling Review Week of Fifth Six Weeks (cont.) 00: Average Monthly Rainfall for San Antonio, T (inches) a) What is the range for this set of data? b) About much more rain fell in May than December? c) Estimate how many total inches of rain fell during 00. Day 4 The weights of several types of plants from Jacquelyn s greenhouse are recorded below in grams: a) Create a bar graph to display this data..3, 4, 5.5, 7,.4, 3.6, 7, 7.8, 4.3 Hourly Wages $7 $8 $9 $0 $ $ The above line plot represents a random sample s hourly wages. a) Which hourly wage occurs most frequently? b) How many more people are paid $8 than $ an hour? c) What is the median hourly wage? d) What is the average hourly wage from this set of data? 0, TESCCC 03/9/ page 3 of 3

4 Week 3 of Fifth Six Weeks Note: Record all work in your math journal. Day Panoply has a record of their total profit per month. Month Profit (in dollars) January 4,50 February 5,670 March 3,580 April 4,00 May 3,650 June 6,350 July 7,45 August 6,850 September 4,850 October,600 November 3,575 December 4,000 a) Create a line graph to display this data. b) Make a hypothesis about why Panoply s profits go up during a certain time of the year Day Day 3 a) Compare/contrast the difference between a line plot and a line graph b) Why is one more appropriate than the other in certain situations? a) Arrange the following lengths of fish from a lake in a stem and leaf plot:., 3., 4, 4.5,.,.8, 5.5, 6.7, 4., 4, 4., 5.7,.4 0, TESCCC 03/9/ page 4 of 3

5 Week 3 of Fifth Six Weeks (cont.) Note: Record all work in your math journal. Day 4 Career Totals of Home Runs represents 755 a) What type of graphical representation is displayed above? b) What is the range of this data? c) What is the median of this data? d) How many hitters have at least 650 career home runs? Brett Favre s career touchdown passes by year are given in the following table: Year Touchdowns Year Touchdowns a) Create a stem and line graph to represent this data 0, TESCCC 03/9/ page 5 of 3

6 Note: Record all work in your math journal. Day Seventh Grade Spiraling Review Week 4 of Fifth Six Weeks Ramsey's Monthly Spending Use Figure for Days Savings 7% Clothes 9% Entertainment 8% Food 34% Transportation % a) How would the percentage spent on transportation be represented as a fraction and a decimal? b) How would the amount spent on entertainment and clothes be represented as a fraction and a decimal? Day a) What fraction of spending is spent on food and clothes combined? b) If Ramsey s total budget each month is $5000, how much did he spend on food? c) On clothes? 0, TESCCC 03/9/ page 6 of 3

7 Note: Record all work in your math journal. Day 3 Seventh Grade Spiraling Review Week 4 of Fifth Six Weeks (cont.) Most Popular Ice Cream Flavors Use Figure for Days Chocolate 5 Vanilla Strawberry 8 a) How many total people were surveyed? b) How many people consider vanilla and strawberry to be their favorite? Day 4 a) How many people consider all three flavors to be their favorite? b) How many total people do not like chocolate at all? c) How many do not like vanilla at all? a) Construct the sample space for 4 coins flipped. 0, TESCCC 03/9/ page 7 of 3

8 Week 5 of Fifth Six Weeks Note: Record all work in your math journal. Day Ivan has 3 types of lettuce, different tomatoes, and 4 different types of salad dressing. a) Create construct the sample space for all the combinations of making a salad with all three ingredients. Day Day 3 Day 4 a) What is the probability of 3 heads and tails when 5 coins are flipped? Janie is playing cards with a full 5-card deck. a) What is the probability of drawing an ace? b) What is the probability of drawing anything but a black card? c) What is the probability of drawing a number higher than 8? d) What is the probability of drawing a or a 4? Steven is spinning a spinner that has 6 equally divided colors: purple, blue, green, yellow, black, and red. a) Find P(purple) b) Find P( green, yellow, or black) c) Find P( not green) A bag contains 6 red marbles, 4 black marbles, and 8 blue marbles. a) If Heather reaches into the bag, what is P (blue)? b) If Heather does not replace the marble, what is P (black or red)? c) Heather returns all the marbles to the bag, what is the complement to P (not red)? 0, TESCCC 03/9/ page 8 of 3

9 Fifth Six Weeks Answer Keys (pp. of 6) Week Answer Key: Process may vary. Day 30 in. a) Estimated Volume: 30 in. = in. = 5 7 in. ft; 7 in. = in. = 9 ft; in. = ft 4 length width height is 5. We get close to 5 ft 3. cubic foot weighs approximately 60 pounds, so 5 cubic feet will weigh approximately 300 pounds. Since the 9 and 60 were rounded down for the calculations, it should 4 make the weight of the water over 300 pounds. b) Volume: l w h = 5 ft ft ft = feet ft 6.43 lbs 35. lbs Day a) Item 4 items at $.95 each 6 items at $.03 each 3 items at $6.98 each Estimate for Each Item Estimated Purchase $3 4 x $3 = $ $ 6 x $ = $6 $7 3 x $7 = $ Adjustment in Estimate $3 $.95: $0.05 x 4 = $0.0 above $ : 0.03 x 6 = $0.8 below $7 $6.98: $0.0 x 3 = $0.06 above Day 3 a) 8 occurs most frequently b) 37 is the range of the data Day 4 a) The difference between the median and the range is 9; = 9 b) The difference between the median and the mods is 0; = 0 Range: ; 8 (-3) = Mean:.75 Week Answer Key: Process may vary. Day a) 0.3;.3 = 0.3; This is the range. b).; This is the mean. Exact Amount $ $0.0 = $.80 $6 + $0.8 = $6.8 $ 0.06 = $0.94 Day a) Mean: 6.4 b) Range: 36; = 36 c) Cody must have at least 08 customers in Week 6 to have an average of 70 customers. 0, TESCCC 03/9/ page 9 of 3

10 Fifth Six Weeks Answer Keys (pp. of 6) Week Answer Key (continued): Process may vary. Day 3 Answers may vary. a) Range: 7.8; = 7.8 b) About 4 inches; = 4.0 c) About 35.5 inches of rain Day 4 See student work. a) Weights of Jacquelyn's Plants Type 9 Type 8 Type 7 Type 6 Type 5 Type 4 Type 3 Type Type Grams a) $7 per hour occurred most frequently b) more people; 3 = c) Median: $7.5 d) Mean: $9.07 0, TESCCC 03/9/ page 0 of 3

11 Week 3 Answer Key: Process may vary. Day a) Seventh Grade Spiraling Review Fifth Six Weeks Answer Keys (pp. 3 of 6) Dollars Panoply Profits b) Answers will vary. Day a) A line plot displays the frequency each piece of data in a set. A line graph displays changes over time. b) A line graph is more appropriate to display comparisons over time while a line plot is more appropriate to display minimum, maximum, gaps, and clusters of data. Day 3 a) Lengths of Fish Month represents. 0, TESCCC 03/9/ page of 3

12 Fifth Six Weeks Answer Keys (pp. 4 of 6) Week 3 Answer Key (continued): Process may vary. Day 4 a) Stem and leaf plot b) Range: 33; = 33 c) Median: 69.5 d) 4 hitter have at least 650 career home runs a) Brett Farve's Career Touchdown Passes Touchdowns Year Week 4 Answer Key: Process may vary. Day a) Transportation: = = Day b) Entertainment and Clothes: = a) Food and Clothes: + = x = x = b) Food: = 00x = 00x 700 = x 9 x = x = c) Clothes: = 00x = 00x 450 = x 0, TESCCC 03/9/ page of 3

13 Fifth Six Weeks Answer Keys (pp. 5 of 6) Week 4 Answer Key (continued): Process may vary. Day 3 a) 7 people were surveyed b) 6 people consider vanilla and strawberry to be their favorite Day 4 a) person considers all three flavors to be their favorite b) 4 people do not like chocolate at all c) 44 people do not like vanilla at all a) Sample space of flipping a coin 4 times HHHH HTHH THHH TTHH HHHT HTHT THHT TTHT HHTH HTTH THTH TTTH HHTT HTTT THTT TTTT Week 5 Answer Key: Process may vary. Day Day Day 3 Day 4 a) Sample space of salad combinations L, T, S L, T, S L, T, S L, T, S L3, T, S L3, T, S L, T, S L, T, S L, T, S L, T, S L3, T, S L3, T, S L, T, S3 L, T, S3 L, T, S3 L, T, S3 L3, T, S3 L3, T, S3 L, T, S4 L, T, S4 L, T, S4 L, T, S4 L3, T, S4 L3, T, S4 a) P(3 heads and tails) = = 3 a) P(ace) = 4 = 5 3 b) P(anything but a black card) = 6 = 5 c) P(number higher than 8) = 8 = 5 3 d) P( or 4) = 8 = 5 3 a) P(purple) = 6 b) P(green, yellow, or black) = 3 = 6 c) P(not green) = 5 6 a) P(blue) = 8 = b) P(black or red) = 0 7 c) Complement to P(not red) = 6 = 8 3 0, TESCCC 03/9/ page 3 of 3