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BELL WORK

This homework assignment provides solutions for Geometry and Measurement problems and prepares students for the EOC Category 4 exam. Includes contextual problems, Pythagorean Theorem, distance between points, midpoint of a segment, and rate conversions.

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BELL WORK

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  1. BELL WORK Copy down your HW 4.4(c) Due tomorrow: Category 4&5 HW 1. Go to class website Click on Category 4 HW p1-p14, Category 5 HW p1-p17 Complete the questions and record your answers If you would like, you may print it and bring it to class.

  2. HW 4.4(b) Solutions A D C D A D C A D A

  3. HW 4.4(b) Solutions C D A C D B F B

  4. Absent HW

  5. CW 4.5 Will be tomorrow! 50 questions in 50 minutes!!!!

  6. EOC Category 4 Prep Geometry and Measurement SPI 3102.4.2: Solve contextual problems using the Pythagorean Theorem.

  7. EOC Category 4 Prep 1. Joe plays third base, and Billy plays first base for their baseball team. If Joe and Bill are both standing on their respective bases, how long is a throw from Joe to Bill? A baseball diamond is a square with 90 feet between each of the bases. A. 360 feet B. 127.28 feet C. 180.56 feet D. 90 feet

  8. EOC Category 4 Prep 2. In order to go to school each day, Julie walks about 3 miles west from her home on Patriot Avenue, then she walks south along Jefferson Street to the front of her school. She knows that the shortest distance from her home to the front of the school is about 9 miles (as the crow flies). How far does she walk along Jefferson Street each school day? A. 3.2 miles B. 6 miles C. 8.5 miles D. 9.7 miles

  9. EOC Category 4 Prep 3. Oscar’s doghouse is shaped like a tent. The slanted sides are both 5 feet long, and the bottom of the house is 8 feet across. What is the height of the doghouse, in feet, at its tallest point? A. 3 feet B. 4 feet C. 5 feet D. 6 feet

  10. EOC Category 4 Prep 4. David was locked out of his house, but he noticed that there was an open window on the second floor, which is 25 feet above ground level. David borrowed a ladder from one of his neighbors. Since there is a shrub along the edge of the house, David will have to place the base of the ladder 10 feet from the house. What length ladder must David have in order to reach the window? A. 17 feet B. 23 feet C. 27 feet D. 33 feet

  11. EOC Category 4 Prep 6. The diagram below shows the dimensions of Joe’s flower garden. What is the dimension, in feet (ft), represented by x? A. 5.92 feet B. 8.62 feet C. 10.35 feet D. 11.18 feet

  12. EOC Category 4 Prep SPI 3102.4.3: Solve problems involving the distance between points or midpoint of a segment.

  13. EOC Category 4 Prep 1. What is the length of a segment whose endpoints are (5, –8) and (9, 2)? 116 4√29 29√2 2√29

  14. EOC Category 4 Prep 2. What are the coordinates of the midpoint of a line segment with endpoints (8, 11) and (-12, 5)? A. (10, 8) B. (-2, 8) C. (-4, 16) D. (-2, 16)

  15. EOC Category 4 Prep 3. Which value is closest to the perimeter of ΔGHJ, in units? A. 8 B. 15 C. 19 D. 23

  16. EOC Category 4 Prep An EMS helicopter is stationed at Mercy Hospital, which is 4 miles west and 2 miles north of an automobile accident. Another EMS helicopter is stationed at Jefferson Hospital, which is 3 miles east and 3 miles north of the accident. Which statement below is correct? Mercy Hospital is 0.23miles closer to the accident. Mercy Hospital is 8.71miles closer to the accident. Jefferson Hospital is 0.23miles closer to the accident. Jefferson Hospital is 8.71miles closer to the accident.

  17. EOC Category 4 Prep 5. What is the distance between the two points on the graph below? A. 3.6 units B. 6.4 units C. 7.1 units D. 5.5 units

  18. EOC Category 4 Prep SPI 3102.4.4: Convert rates and measurements.

  19. EOC Category 4 Prep 1. A 2-ounce package of ham costs $1.29. Which is closest to the cost per pound? A. $0.65 B. $2.58 C. $5.16 D. $10.32

  20. EOC Category 4 Prep 2. Tyler can run a mile in 5½ minutes. Which is closest to this rate in feet per minute? A. 5,280 B. 2,640 C. 1,320 D. 960

  21. EOC Category 4 Prep 3. Laura can pressure wash her driveway at an average rate of 15 square feet per minute. Which is closest to this rate in square yards per second? A. 0.35 B. 0.24 C. 0.03 D. 0.01

  22. EOC Category 4 Prep 4. Which number correctly completes this equation? 6 square feet = _____ square inches A. 72 B. 144 C. 864 D. 1,728

  23. EOC Category 4 Prep 5. Which number correctly completes this equation? 12 square yards = _____ square feet A. 108 B. 144 C. 12 D. 36

  24. EOC Category 4 Prep 6. One type of decorative ribbon regularly costs $3.59 per yard. When the ribbon is on sale, it costs $2.19 per yard. Which is the closest to the difference in the cost per inch for the ribbon when it on sale compared to its regular price? A. 1.9 cents per inch B. 3.8 cents per inch C. 11.6 cents per inch D. 16.06 cents per inch

  25. EOC Category 4 Prep 7. Which number correctly completes this equation? 6 square yards = ____ square inches A. 7,776 B. 1,728 C. 648 D. 216

  26. EOC Category 5 Prep Data Analysis, Statistics and Probability SPI 3102.5.1: Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set.)

  27. EOC Category 5 Prep What is a reasonable estimate of the value of the watch in 2002? A. 14,100 B. 13, 500 C. 12, 500 D. 12, 000

  28. EOC Category 5 Prep 2. The scatter plot shows the number of CD’s sold in 7 days at Bob’s Music Store. For day seven, which number of CD’s sold would be considered an outlier? A. 9 B. 10 C. 25 D. 40

  29. EOC Category 5 Prep 3. The average rainfall, over a period of years, is shown in the graph below. A. 8.1 inches B. 4.7 inches C. 5.9 inches D. 9.8 inches

  30. EOC Category 5 Prep A total of 400 students were surveyed about their favorite color. The circle graph shows the percentage of each color students chose. Which statement is NOT supported by the data displayed in the graph? A. A little more than half the students chose either blue, orange, or green as their favorite color. B. Green was chosen as the favorite color by more than half the number of students as purple. C. Blue was the favorite color of 29 students. D. Yellow and pink combined were chosen by more students than orange.

  31. EOC Category 5 Prep SPI 3102.5.3: Using a scatterplot, determine if a linear relationship exists and describe the association between variables.

  32. EOC Category 5 Prep Which scatterplot best represents a positive linear relationship between the variables x and y? A. B. C. D.

  33. EOC Category 5 Prep 2. What type of correlation is shown in the scatterplot below? A. Positive correlation B. Negative correlation C. No correlation D. Random correlation

  34. EOC Category 5 Prep Which graph best shows a negative linear relationship between variables x and y? A. B. C. D.

  35. EOC Category 5 Prep What type of correlation is shown in the scatterplot below? A. Positive correlation B. Negative correlation C. No correlation D. Random correlation

  36. EOC Category 5 Prep SPI 3102.5.4: Generate the equation of a line that fits linear data and use it to make a prediction.

  37. EOC Category 5 Prep This chart shows the price of vegetable and fruit platters. 1. Write an equation for the cost of a platter that weighs w lbs. A. P = .60w + 1.50 B. P = (.60 + 1.50)w C. P = 1.50w + .60 D. P = .60(w + 1.50)

  38. EOC Category 5 Prep This chart shows the price of vegetable and fruit platters. 2. How much would a 6 lb. platter cost? A. $12.20 B. $9.60 C. $8.70 D. $7.50

  39. EOC Category 5 Prep This chart shows the price of vegetable and fruit platters. 3. How much would a 10 lb. platter cost? A. $15.00 B. $16.50 C. $13.50 D. $15.60

  40. EOC Category 5 Prep A phone company charges $17.50 per month and 12¢ for each additional minute. The chart below shows the cost per 100 minutes. 4. Write a linear equation for the charge in terms of the number of minutes. Let C= charge in dollars Let m=# of minutes A.C = $17.50 + 12.00m B. C = $17.50m + 100 C. C = $17.50 + 0.12m D. C = ($17.50 + 0.12)m

  41. EOC Category 5 Prep A phone company charges $17.50 per month and 12¢ for each additional minute. The chart below shows the cost per 100 minutes. What would be the monthly charge if the customer uses 700 additional minutes? A. $113.50 B. $101.50 C. $89.50 D. $77.50

  42. EOC Category 5 Prep SPI 3102.5.5: Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency.

  43. EOC Category 5 Prep This table shows the number of students from each grade level who earned at least two A’s during the first nine weeks grading period. One student will be randomly selected from this group of students to win the grand prize in the academic incentive program. Which is closest to the probability that the student selected will be a freshman or sophomore? Students with at least two A’s A. 0.24 B. 0.28 C. 0.48 D. 0.52

  44. EOC Category 5 Prep Joe is playing a computer tic-tac-toe game. This table shows the results. What is the experimental probability that Joe will win? 7 24 B. 3 8 ⅓ ⅔

  45. EOC Category 5 Prep 3. Twenty-three colored slips of paper are placed in a box for a drawing. Anyone wearing a shirt that matches the slip drawn will be eligible for a prize. There are 9 blue slips, 7 red slips, 4 yellow slips, and 3 green slips. What is the probability that the first slip of paper drawn from the box is not red? 7 C. 9 23 23 16 D. 14 23 23

  46. EOC Category 5 Prep This table shows the number of cans of soup in Debbie’s pantry. If Debbie randomly selects a can of soup to fix for lunch, what is the probability that the can selected will be vegetable or broccoli cheese? 1 B. 1 C. ½ D. 7 5 10 10

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