Bell Ringer3-21-11

Four figures have the following dimensions:

Rectangular prism: l=2 in; w=4 in; h=7 inCylinder: r=4 in; h=6 inCone: r=4 in; h=6 inRectangular pyramid: l=2 in; w=4 in; h=7

in1. What is the probability that a figure chosen

at random will have a volume greater than 150 cubic inches?

2. Two figures are pulled one at a time. After you pull the first time, you do not replace. What is the probability both figures will have a volume less than 125 cubic inches?

3. Calculate the mean.

Rectangular prism: l=2 in; w=4 in; h=7 inCylinder: r=4 in; h=6 inCone: r=4 in; h=6 inRectangular pyramid: l=2 in; w=4 in; h=7 in

356

)7)(4)(2(

:rPrismRectangula

inV

V

lwhV

3

2

44.301

)6)(16)(14.3(

:Cylinder

inV

V

hrV

3

3

218

)7)(4)(2(3

13

1

:rPyramidRectangula

inV

V

lwhV

3

2

48.100

)6)(16)(14.3(3

13

1

:Cone

inV

V

hrV

Rectangular prism: l=2 in; w=4 in; h=7 in V=56in3

Cylinder: r=4 in; h=6 in V=301.44in3

Cone: r=4 in; h=6 in V=18.67in3

Rectangular pyramid: l=2 in; w=4 in; h=7 in V=100.48in3

1. What is the probability that a figure chosen at random will have a volume greater than 150 cubic inches?

2. Two figures are pulled one at a time. After you pull the first time, you do not replace. What is the probability both figures will have a volume less than 125 cubic inches?

%254

1)150( orP

2

1

12

6

3

2

4

3)1252( P

Rectangular prism: l=2 in; w=4 in; h=7 in V=56in3

Cylinder: r=4 in; h=6 in V=301.64in3

Cone: r=4 in; h=6 in V=18.67in3

Rectangular pyramid: l=2 in; w=4 in; h=7 in V=100.48in3

3. Calculate the mean.4

)48.10067.1864.30156(

320.1194

79.476in

Quiz3-21-11

Roderick is building a model of an actual airplane with a length of 20 feet. What other information is necessary in order to find x, the length of the model airplane?

F The ratio of the length of the model airplane’s tail to the length of its wingG The speed of the model airplaneH The scale factor usedJ The model airplane’s wingspan

What information is needed to find x?

Anything involving dilations must have a scale factor. If one dimension is known, the dimension of the similar figure can be found by multiplying by the scale factor.

Roderick is building a model of an actual airplane with a length of 20 feet. What other information is necessary in order to find x, the length of the model airplane?

The scale factor is needed to find x.

Actual length = 20 feetx = model lengthDilation

Reductionsor tsEnlargemen

:Dilations

factor scale by theMultiply

factor. scale by the gmultiplyin

by found becan length model the

known, islength actual theSince:H

Speed Test1. Get out a dry erase marker.2. You have 1 minute to complete as many problems as you can.3.We will grade in 1 minute.4. Graph your results. Keep the graph in your notebook.5. We will do this every day.

Problem of the Week & Word Problem

#5-21. You have 5 minutes to work on the

problem of the week and word problem.

2. The problem of the week must follow the Read, Think, Solve, Justify format.

3. When you are finished, turn them in.4. They are due Friday.

Reach for the StarsMonday

The Childress family went on a camping trip. They paid $28.00 for a 2-night stay at a campground that allows a maximum stay of 30 nights. Which equation can they use to find c, the cost of camping at this campground for the maximum number of nights?

A c = 60 · 56B c = 30 · 28C c = 28 · 28D c = 30 · 14

Reach for the StarsMonday

The sun’s core temperature reaches close to 2.7 × 10 7 degrees Fahrenheit. Which of the following represents this temperature in standard notation?

A 270,000°FB 2,700,000°FC 27,000,000°FD 270,000,000°F

Reach for the StarsMonday

Raymond packs boxes for an appliance company. He can pack a large box in 10 minutes and a small box in 4 minutes. He

needs to pack 10 large boxes and 20 small boxes. If 2.5 hours remain before closing time, will Raymond have time to finish the work before closing time if he works without stopping?

A. Yes, Raymond will finish the work in 1.8 hours.B. No, it will take him 4 hours to finish.C. Yes, Raymond will finish the work in 0.5 hour.D. No, it will take him 3 hours to finish.

Reach for the StarsMonday

You have a sheet protector with two graphs.

We will go over both of these problems. You can use your marker to write on the

graph in the sheet protector.1.Grade distribution2.Pizza sizes

Class Work: Creating and Analyzing Graphs

I am providing you the notes for this activity.

Create the graphs and answer the questions for each situation.

Remember to include title and labels/legends.

Bar Graph

A survey of an 8th grade class reveals that 12 people like football,

14 like baseball and 9 like basketball. Create a bar graph,

illustrating the results.

1. Interpret the graph.2. Calculate the mode.

Favorite Sports of 8th Grade Students

02468

10121416

football baseball basketball

Sport

Nu

mb

er

of

Stu

de

nts

HistogramThe table displays the results of the last math test. Create a histogram,

illustrating the results.

1. Explain the difference between a bar graph and histogram.2. Calculate the median.

100 - 90

89 - 80

79 - 70

69 - 0

Results of Math Test

0

1

2

3

4

5

6

100-90 89-80 79-70 69-0

Grade Category

Nu

mb

er

of

Stu

de

nts

Circle Graph

Out of 100 people surveyed, 20 like vanilla ice cream, 15 like strawberry, 40 people like

chocolate, and the rest like rocky road. Create a circle graph,

illustrating the results.

1. Calculate the percent of people that like rocky road.

2. Calculate the range.

Favorite Ice Cream

vanilla

strawberry

chocolate

rocky road

Line GraphThe table displays the cost for a gallon of gas for the last 5 years.

Create a line graph, illustrating the results.

1. Calculate the mean.

2009 $1.82

2008 $3.05

2007 $2.85

2006 $2.30

2005 $2.10

Cost for Gallon of Gas over Last 5 Years

$0.00

$0.75

$1.50

$2.25

$3.00

$3.75

2005 2006 2007 2008 2009

Year

Co

st

(in

do

llars

)

ScatterplotThe table displays the minutes spent

studying for a test and the grade received. Create a scatterplot, illustrating the results.

1. Calculate the four measures of central tendency.

120 95, 90 80 75

110 90 75 70, 75

100 90, 65 60 65, 70

90 85, 80 50 55, 50

85 85, 75 30 20

min mingrade grade

Comparison of Minutes Spent Studying and Test Grades

0

25

50

75

100

125

150

0 20 40 60 80 100

Test Grades

Min

ute

s

Venn DiagramA veterinarian surveys 26 of his

patrons.  He discovers that 7 have dogs, 5 have cats, and 1 has a fish. 

Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. 

No one has all three kinds of pets, and 5 people have none of these

pets. Create a Venn diagram, illustrating these results. 

1. Interpret the diagram.

Survey of Type of Animals People Have

Dog Cat

Fish

7 5

1

4

3 10

5

Finish

Continue working on the Smarties activity we started before Spring Break.