Review of Pythagorean Theorem and Volume

Presentation

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Mathematics

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8th Grade

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Practice Problem

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Medium

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CCSS

6.NS.C.6B, HSG.GPE.B.6, 5.MD.C.3A

Standards-aligned

Nastassja Massey

Used 6+ times

FREE Resource

12 Slides • 6 Questions

Review of Pythagorean Theorem and Volume

Why do we use the Pythagorean Thorem?

Find missing side; given two sides
Determine if a triangle is a right triangle
Determine the distance between two points

Pythagorean Theorem Formula

a²+ b²=c²

What is the perimeter of a right triangle with the hypotenuse of 30in and leg of 18in?

Formula for perimeter of right triangle is the sum of all sides (a+b+c= P)
Step 1: Find the missing side of the right triangle
Step 2: Add the lengths of all sides to find perimeter

Multiple Choice

Which quadrant is point (-5,2) located?

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

Understanding Points on a Coordinate Plane

Points are written (x,y)

Given point (7,5), which digit is my "x" ? Which is my "y" ?

Distance Formula

$D=\sqrt{\left(x_2\ -\ x_1\right)\ ^2+\left(y_{2\ }-y_1\right)^2\ \ }$

Open Ended

Plug the points into the right place...

A ( 3,-4) and B (6,0)

x₁₌

x₂₌

y₁₌

y₂₌

Type response here

Volume

The amount of space a three- dimensional object occupies/ takes up.

* Measured in cubic units

Volume of a Prism

Find area of base and multiply by the height

Finding Area of Rectangle

Area of rectangle = L x W

Multiple Choice

Find the volume:

720 in³

720 in²

720 in

240 in³

Multiple Choice

Find the volume

32 in³

384 in³

384 in²

96 in³

Words to consider when thinking of a circle

Radius
Circumference
Pi
Diameter

Volume of Cylinder

First find the area of the base (circle)
Multiply area of base by height
Formula: Volume of cylinder= πr²h

Area of a circle

$A=\pi r^2$

Multiple Choice

Find the area of the base

Bottom number:2
Side number: 4

8 in²

4 in²

$4\pi$ in

Multiple Choice

Find the volume

Number on bottom: 2

Number on side: 4

16π in3

8π in3

4π in3

2π in²

Review of Pythagorean Theorem and Volume

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