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Part A: Mastery Check

Geometry Online: Instructor Content Lesson 01: Geometry Basics Part A: Mastery Check

Your student will demonstrate mastery of the math concepts they have just learned.

Print or open your Student Worktext to the Mastery Check.

Mastery Check

Show What You Know

trench = rectangular prism
l = 200, w = 1.5, h = 6
V = lwh
V = (6)(1.5)(200)
V = 1800 cubic ft

pipe = cylinder
r = 6 inches = 0.5 feet, h = 200

$V = π r^{2} h V = π {(0.5)}^{2} (200) V = 157 cubic ft$

1800 – 157 = 1643 cubic ft

Q: What is the approximate shape of the trench?
A: A rectangular prism

Q: What is the shape of the tube?
A: A cylinder

Q: Will there be more or less dirt in the trench once the tube is installed? Explain.
A: There will be less dirt because the pipe is taking up part of the space where the dirt was.

X: A = lw
1200 = 40w
w = 30 ft

$Y : A = l w 1500 = 25 l l = 60 \frac{60}{3} = 20$

Z: sides are 10 ft

P = sum of all sides
P = 40 + 2(30) + 4(10) + 2(25) + 2(20) + 15
P = 245

Fiber optic line:
245 ft * 6.25 = 1531.25 feet of fiber optic line

Your student will need to use the given square footage to find some of the missing side lengths. Remind your student that all the same markings mean that those sides have equal length.

Q: Why is knowing the square footage helpful in finding the perimeter?
A: Because you can use the square footage and a given side to find the missing side length by working backwards.

Q: Why do you need the perimeter of the building?
A: Because you need to multiply the perimeter by 6.25 to find the total amount of fiber optic line needed.

Say What You Know

Your student should be able to restate the objectives of the lesson in their own words. If your student is unable to restate the lesson objectives, have them go back and reread the objectives and then explain them.

Objective 1
Objective 2

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