Essentials. Week by. Week

Transcription

1 Week by Week MATHEMATICS Essentials Grade 9 Identify the graphs of each pair of equations as parallel lines, intersecting lines or the same line. a) y x c) y 0.x x y y x b) y x d) y x y x 9 x y What s The Problem? (.0 d) Feet on the Earth, Head in the Sky A sixfoot tall person walks around the earth. How much farther does the person s head travel than the person s feet? Materials: stop watch Have students sit in rows of five. Begin with row of students. At the timer s signal, the first student stands up, waves his or her arms overhead and sits down. Then each student repeats the wave. After the last student sits down, the timer records the time in seconds. Repeat for 0,, 0 and students. Graph the ordered pairs on a coordinate plane (xaxis number of students; yaxis time) How long would it take students to complete the wave?... students?... the students in the th grade at your school? (.0,.0) From: Mathematical Challenges for the Middle Grades, NCCTM, 99, p. (.0) Describe the crosssections that are formed when a cylinder is intersected by a plane. (Review) Measurement Wrap Up By what factor does the volume increase if the radius and the height of a cylinder are doubled? (.0)

2 Keeping Skills Sharp. Solve for m: m Write as a word phrase: x. Solve for x: x 0. Solve for g: g Estimate: 7 7. Solve for c: (c ). If b and c 7, give the value of b c Find the least common multiple of,, and 0. Write answers here: Mental Math Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once.

3 Answer Key What s the Problem? about feet. If r radius of earth, then C (head) C(earth) x π(r ) πr x x π feet answers will vary Answers will vary. Measurement Wrap Up a) parallel lines b) and c) intersecting lines d) same line Grade 9 Keeping Skills Sharp. m. 7,00. a number decreased by. x 0. g c Mental Math. ( ). Change to an improper fraction: 9 0. Write as a decimal. Write as a fraction: 0. This section provides an opportunity for sharpening students mental computation. Mental Math. What is the median number of days in a year of months?. Which is greatest?,, 7. Prime or composite?. List the factors of Write an expression that represents less than w. 0. Write as an exponential expression composite.,, 9, 7 9. w 0. 7

4 Week by Week MATHEMATICS Essentials Grade 0 A bag contains orange marbles, green marbles and purple marbles. How many green marbles must be added so that the probability of drawing a green marble is 7%? Write an equation to represent this situation and solve it. What s The Problem? Find rectangles with integral, centimeter dimensions through 0 (using each value once) so that you can put them together without overlapping and form a by square. (.0) (.0) A Explain when would you expect the median and mean of a distribution to be close together? The following ordered pairs represent the mass (in kg) and height (in m) of a group of visiting Martians. (, 0.); (, 0.7); (, ); (,.9); (0,.0); (,.); (,.); (7,.7); (,.); (, ); (,.); (,.7) Using a scatterplot, what can you conclude about these visitors? Geometry Wrap Up (.0) Anna s seat on the merrygoround is feet from the center of the merrygoround. Eric s seat is feet from the center. After complete revolutions of the ride, how much farther has Anna traveled than Eric? B Your math scores are, 00, 7, 7 and 7. Would you rather have your teacher use the mean or median on your report card? Why? (Review) (.0)

5 Keeping Skills Sharp. Find the range and median:, 0,, 0, 0, 0,. ( 0). If x and y, evaluate (x y).. Simplify: 9y y 0 y. Solve for a: a. List all the factors of Write in scientific notation:,,000,000. Simplify: Solve for j; j 0. Write as an integer: Write answers here: Mental Math Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once.

6 green marbles x x What s the Problem? The dimensions of the rectangles are: cm 0 cm, 7 cm 9 cm, cm cm, cm cm, and cm cm. Mental Math Answer Key x the no. of marbles to be added A With a small range, you would expect the median and mean to be close together. B Median; median 7, mean 7. Geometry Wrap Up about feet (0 π) The taller they are the less their mass. 7% is (<, >, or ). Which is least?,, Grade Keeping Skills Sharp This section provides an opportunity for sharpening students mental computation. Mental Math. Write using exponents: (0 ). 0. is (<, >, or ) Prime or composite?.? 9. Simplify: When v what is the value of: ( v v). range median 0. y. 0 0.,,,,, 9, 0,,, 0,, x j < > 7. prime

7 Week by Week MATHEMATICS Essentials Grade Ray s sales commission, C, is determined by the formula C %S 0. If his commission last week was $700, what were his sales, S? (.0) What s The Problem? Tina and Tess go shopping together and buy identical items. Each girl buys pairs of shorts, shirts, and pairs of shoes that can all be mixed and matched to wear. If each girl wears new clothes to school tomorrow, what is the probability that Tess shows up in exactly the same oufit as Tina? (Review) < x x x x x x x x x x x x x x x x x x x x x x Give this line plot a title and complete the horizontal scale. What is the median of the distribution?...the mean? Measurement Wrap Up (.0) The polygon shown is a quilt pattern. The pattern measures inches from A to B. The actual quilt block will be inches from A to B. What will its area be? < the third diagonal. Describe algebraically the pattern in (Review) (.0) A B

8 Keeping Skills Sharp. Solve for k: k. Solve for r: r. Solve for b: b 7. Arrange these numbers in order from least to greatest:,,,, 7,,. Simplify this expression: (m ) 7(m ).. Evaluate ( b c) if b and c. c 7. Write as an inequality: y is less than 0.. Graph the set of numbers on a number line: {, 0, } Write answers here: I V R If I and R, find V Write an inequality for the following: the amount, S, that Mrs. Phillips will spend is not more than $. 0. Mental Math Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once.

9 Answer Key What s the Problem? They have or 0 outfit possibilities. Probability is /0. The nth term is the (n)st term n. Ex. If the triangle is extended, the th term is the 7th term $,70 answers will vary Measurement Wrap Up square inches Grade Keeping Skills Sharp.... 7,,,,,,. m 0 m m y < V 0 0. S 0 Mental Math This section provides an opportunity for sharpening students mental computation. Mental Math. Estimate: 7. ( 9). Which of the following is the largest: 0., 0., 0.00, 0.?. Find the reciprocal of.. 9. Solve for b: b ( ) b 7. 0 inches feet () 0. Nearest hundredth to:.0 7. feet