Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

CCSS
8.G.C.9, 7.G.B.4, 1.G.A.1

+2

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.8.G.C.9
,
CCSS.7.G.B.4
,
CCSS.1.G.A.1
CCSS.2.G.A.1
,
CCSS.HSG.GMD.A.3
,
This video tutorial covers the geometry of spheres, focusing on calculating both volume and surface area. It begins with an introduction to the parts of a sphere, including the center, radius, and great circle. The tutorial then provides detailed steps for calculating the volume of a sphere using the formula 4/3 πr³, followed by examples. Next, it explains how to calculate the surface area using the formula 4πr², with additional examples. The video concludes with application problems that apply these calculations to real-world scenarios, such as determining the material needed for a basketball or the volume of a box filled with spheres.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What defines a sphere in geometric terms?

A two-dimensional circle expanded in three dimensions

A cube with rounded edges

A solid where all points are equidistant from a central point

A shape with all points at equal distances from the edges

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the volume of a sphere calculated?

4/3 PI R cubed

PI R squared

R squared divided by 3PI

2/3 PI R cubed

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume of a sphere with a radius of 4 units?

268.1 cubic units

201.1 cubic units

150.8 cubic units

100.5 cubic units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the volume calculation if the radius is halved?

It doubles

It reduces to one-eighth

It is halved

It is quartered

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is used to calculate the surface area of a sphere?

4 PI R squared

PI R cubed

6 PI R squared

2 PI R squared

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate the surface area for a sphere with a radius of 7 units.

615.8 square units

307.9 square units

1231.6 square units

154.95 square units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does changing the radius affect the surface area of a sphere?

It remains constant

It decreases with increase in radius

It increases fourfold with doubling of radius

It increases proportionally with the square of the radius

Tags

CCSS.7.G.B.4

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