audience grades 9-10 geometry students students are learning about the area and volume of circles...
TRANSCRIPT
Zero Gravity Geometrycreated by Brent Melton
Teachers STUDENTS
Audience
• Grades 9-10• Geometry Students• Students are learning about the area and
volume of circles and spheres.• Wealthy community
Environment
• Student should complete individually• Computer lab or a classroom with a computer• Student should not be bothered until the
student has completed the program• Student will need a scientific calculator
Objectives
1. Given a diagram of a circle, students should be able to compute the circumference, radius, diameter, and area correctly.
2. Given a diagram of a sphere, students should be able to compute the volume and surface area correctly.
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= help video
= menu page
Help!
= helper / hints
Area
Radius
Circumference
Volume
Diameter
Quiz Take the quiz after visiting all topics.
Click on a planet to learn about the topic!
Surface Area
Surface Area is the amount it would take to cover the outer region, or shell, of a sphere.
The formula for the Surface Area of a sphere is 4pr2.
r = radius
This is similar to the formula for Area just with a 4 in front.
Practice your understanding.
Find the Surface Area of the Sun. 1,934,881,000,000pkm2
2,782,000pkm2
695,500pkm2
483,720,250,000pkm2
AB
C
D
1,391,000km
Hint: The formula for SA is 4pr2
Try Again!
Try Again!
Correct!
Try Again!
Click on the play button to see how to do the problem.
Area is the amount of space that fills a circle.
For instance, it’s going to take so many square inches of coloring to fill this circle.
The equation for the Area of a circle is pr2.
r = radius
Practice your understanding.
Find the Area of Venus. 12,103.6pkm2
110.016pkm2
146,497,132.96pkm2
585,988,531.84pkm2
A
BC
D
12,103.6km
Hint: The Area of a circle is pr2.
Try Again!
Try Again!
Correct!
Try Again!
Click on the play button to see how to do the problem.
Radius is used for almost every equation with a circular or spherical shape.
Radius is the length from the outside of a circle or
sphere to the centermost point.
Practice your understanding.
Find the Radius of Earth. 12,756.2km 6,378.1km 12,756.2pkm 6,378pkm
A
BC
D
Hint: The Radius is half of the diameter.
12,756.2km
Try Again!
Try Again!
Correct!Try
Again!
Click on the play button to see how to do the problem.
Diameter is used alternatively in almost every circular or spherical formula.
Diameter is the length across the circle or sphere.
Practice your understanding.
Find the Diameter of Neptune. 24,764pkm 24,764km 49,528pkm 49,528km
A
BC
D
Hint: The Diameter is twice the length of the radius.
24,764km
Try Again!Try
Again!Try
Again!Correct!
Click on the play button to see how to do the problem.
Circumference is the measurement of the entire outer length of a circle.
The formula for the circumference of a circle is 2pr or
dp.d = diameter
Practice your understanding.
Find the Circumference of Jupiter. 142,984km 71,492pkm 142,984pkm 71,492km
A
BC
D
Hint: The formula for Circumference is dp.
142,984km
Try Again!
Try Again!
Correct!
Try Again!
Click on the play button to see how to do the problem.
Volume is the measurement of space that can fill a sphere.
The formula for the Volume of a sphere
is 4/3pr3.r = radius
Practice your understanding.
Find the Volume of Saturn. 291,876,463,425,110pkm3
218,907,347,568,832pkm3
2,335,011,707,400,900pkm3
1,751,258,780,550,656pkm3
A
BC
D
Hint: The formula for Volume of a sphere is 4/3pr3.
120,536km
Try Again!
Try Again!
Correct!
Try Again!
Click on the play button to see how to do the problem.
Quiz Time! Now you’ll take a short six question
quiz on all of the topics we just covered.
Good Luck!
1. Find the radius of Venus.
A
BC
D
24,207.2km12,103.6km24,207.2pkm12,103.6pkm
24,207.2km
Great Job!
You answered correctly.
Bummer…You answered incorrectly.
Try Again!
This is the diameter.
Bummer…You answered incorrectly.
Try Again!
Radius doesn’t have pi in it.
2. Find the diameter of Jupiter.
A
BC
D
142,984pkm71,492km71,492pkm142,984km
71,492km
Awesome!
You answered correctly.
Wrong…You answered incorrectly.
Try Again!
This is the radius.
Wrong…You answered incorrectly.
Try Again!
Diameter doesn’t have pi in it.
3. Find the circumference of Earth.
A
BC
D
12,756.2km6,378.1km6,378.1pkm12,756.2pkm
6,378.1km
Good Job!
You answered correctly.
That’s not right…You answered incorrectly.
Try Again!
You must multiply the radius by two.
That’s not right…You answered incorrectly.
Try Again!
You must multiply by pi.
4. Find the area of Neptune.
A
BC
D
49,528pkm2
613,255,696pkm2
24,764pkm2
2,453,022,784pkm2
49,528km
Stupendous!
You answered correctly.
Incorrect…You answered incorrectly.
Try Again!
You must square the radius.
Incorrect…You answered incorrectly.
Try Again!
You must divide the diameter in half, then square
it.
5. Find the surface area of Saturn.
A
BC
D
241,072pkm2
482,144pkm2
58,115,709,184pkm2
14,528,927,296pkm2
120,536km
Fantastic!
You answered correctly.
Incorrect…You answered incorrectly.
Try Again!
You must square the radius, then multiply
by 4.
6. Find the volume of the Sun.
A
BC
D
3,588,559,294,666,700,000pkm3
336,427,433,875,000,000pkm3
448,569,911,833,330,000pkm3
2,691,419,471,000,000,000,pkm3
1,391,000km
Not Quite…You answered incorrectly.
Try Again!
You must cube the radius, then multiply by
4/3.
Marvelous!You answered correctly.
You are done with this program. You may practice this program again, by pressing the menu button, or quit, by clicking
anywhere.