Essentials. Week by. Week. Mathmania. Algebraically Speaking. Investigate Data. Solve It!

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1 Week by Week MATHEMATICS Essentials The surface asea, SA, of a sphere is found using the formula SA πr, where r is the radius of the sphere. Find the surface area of a glass ball with a radius of. inches. (.0) A survey was taken of 0 college freshmen. Forty of them were majoring in mathematics, 0 of them were majoring in English, 0 were majoring in science, had a double major of mathematics and English, and none had a double major with science. How many students had majors other than mathematics, English, or science? (.0) Geometry Rules Using the dimensions shown for one block, what would the volume of the entire shape be if all of the blocks have the same dimensions? How many will fit in a one cubic meter box? cm mm mm mm cm cm (.0) On a farm there are 6 heads and 0 legs on the cows and chickens. How many of the animals are cows? Martha entered the elevator and went down seven floors, up ten floors, up two floors, then down five floors. She was then on the eleventh floor. On what floor did she enter the elevator (.0) (.0) Write about the things you learned in math class this week. What did you learn that was new? Were the new concepts easy to understand? Is there anything you did not understand that you worked on this week? Do you need extra help on anything? 6

2 Keeping Skills Sharp. 9 V ; solve for V.. $,9 S; solve for S... Write as a percent. 6. What is the prime factorization of? 6. Find the leaest common multiple of and.. Find the surface area of a cube with 0 cm sides.. Simplify: 9. How many tenths in 0.6? 0. Estimate: Write answers here: Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once

3 about. in Answer Key There are 6 students who did not major in math, English or science.. Keeping Skills Sharp. $9. M E 0 S th floor 6 cows Answers will vary. Geometry Rules cm ; 00,000...% cm a..? b ; b?. ( 9).? 9. c 0. This section provides an opportunity for sharpening students mental computation

4 Week by Week MATHEMATICS Essentials The formula for determining the area, A, of a trapezoid is A h( b b ), where h the height, and b and b are the lengths of the two bases. Find the area of a trapezoid with height. cm and bases of cm and 0 cm respectively. (.0) Find the ones digit in 99. (Review) The CEO of a small business reports that the mean salary for the company s six employees is $6, If five of the six employees make less than $,000.00, is this mean possible? Explain. If the surface area of a cube is cm, what is the length of each side? (.0) Geometry Rules Similar rectangles are shown. What is the length of x? x cm 0 cm How are similar and congruent polygons alike? How are they different? (.0) cm (.0) (.0) 6

5 Keeping Skills Sharp. 9 z 6; solve for z....9 g. ; solve for g... % of 9. Give the prime factorization of. 6. Find the GCF of and.. Find the area of this figure:. cm Write answers here: cm n 9 9. The nearest hundredth to 0. is? 0. Estimate: What percent of is 0? Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once

6 Answer Key 6 cm Geometry Rules 0 cm, 9,,,, 6 9,, 66. The pattern of ones digits is, 9,,,, 9,,. When the exponent of is a multiple of, the ones digit is. Since 00 has a factor of, 00 must have a ones digit of. Therefore, the ones digit of 99 must be, since 99 precedes 00 and precedes in the sequence. centimeters Answers will vary. Answers will vary; however, the sixth salary must be an outlier.. (. 6) ?. 6. 0? 00. 0? 0 6. ( ) of 90 This section provides an opportunity for sharpening students mental computation. Keeping Skills Sharp cm % or 69

7 Week by Week MATHEMATICS Essentials The Jones family rented a car for three days while on vacation. The rental charge was $.9 per day plus per mile. If the bill was $96.96 before taxes, write and solve an equation to find the number of miles, m, they drove. (.0) Ten groups of students collected the following amounts of money for a food drive: $0, $, $, $0, $, $9, $0, $00, $0, $0. a) Make a box plot for this data. b) If the $ was recorded incorrectly, and should have been $, how would the graph change? (.0,.0,.0) Measurement Rules A brownie pan has dimensions by by. Compute the volume of the pan. Express your answer in decimal form. If the batter is. deep, what percent of the pan is filled with brownie batter? A jar contains marbles of different colors. There are twice as many yellow as red marbles, twice as many blue marbles as white. There are six more white than red marbles. How many of each color marble are there? If the volume of this cylindrical container is 6. cm, what is the height? What is the surface area of a label that covers the sides? (.0) 6 cm (.0) Explain the relationship between the diameter of a circle and its circumference. How can you estimate the circumference of a circle if you know its diameter? How can you estimate the diameter of a circle if you know its circumference? (.0) (Review) 0

8 Keeping Skills Sharp of. Change 0.00 to a percent.. What is the prime factorization of? 6. Find the LCM of 9 and 6.. Find the area of the shaded region: (Right angles at all vertices) Write answers here: Nearest thousandth to 6.6 is? 0. 0 m m m Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once

9 Answer Key (.9) 0.m 96.96; miles Measurement Rules. in ; about 6% height about cm surface area of label about cm If x number of red, x the number of yellow, x 6 the number of white, and x the number of blue, then x x x 6 x ; x There are red, 0 yellow, white, and blue for a total of marbles. a) lower quartile 9, median 0, upper quartile 0, interquartile range b) lower quartile 00, median, upper quartile, interquartile range The circumference is approximately times (π) greater than the diameter. C d.. Divide the circumference by to get diameter. Multiply the diameter by to get circumference. This section provides an opportunity for sharpening students mental computation.. Keeping Skills Sharp % about. m ( ) ( ) ?. 6. ( ).? , or 6