# Unit 6: Pythagorean Theorem, Angles & Volume

## Overview

Ever wondered how to teach the Pythagorean Theorem, angles, and volume in an engaging way to your 8th-grade students?

In this unit plan, students will first learn about the Pythagorean Theorem. Later on, they will build on this to learn about finding the distance between two points using the distance formula in a coordinate system. Lastly, they will learn about solving problems involving the volumes of cylinders, cones, and spheres.

Each lesson helps students master the unit through artistic, interactive guided notes, check for understanding, and culminates with a real-life example that explores how these mathematical concepts are applied in real-world situations.

It's an exciting way to teach the Pythagorean Theorem, angles, and volume while comprehensively meeting standards.

## Get the Unit Materials

### Pythagorean Theorem, Angles and Volume Guided Notes Unit Bundle | 8th Grade CCSS

\$15.99 · Extensions sold separately

## Learning Objectives

After this unit, students will be able to:

• Understand and apply the Pythagorean Theorem to find the missing side of a right triangle.

• Calculate the distance between two points in a coordinate system using the distance formula.

• Solve for missing angles in triangles using the Triangle Sum Theorem.

• Apply the Exterior Angle Theorem to find missing angles in triangles.

• Identify and solve angle relationships formed by parallel lines cut by a transversal.

• Calculate the volumes of cylinders, cones, and spheres using the appropriate formulas.

## Prerequisites

Before starting this unit, students should be familiar with:

• Knowledge of basic geometric shapes (such as triangles, rectangles, and circles)

• Understanding of basic algebraic concepts (such as solving for unknown variables)

• Familiarity with basic properties of angles (such as vertical angles, complementary angles, and supplementary angles)

• Understanding of how to calculate the area of simple geometric shapes (such as rectangles and triangles)

## Key Vocabulary

• Pythagorean Theorem

• Distance Formula

• Triangle Sum Theorem

• Exterior Angle Theorem

• Transversal

• Parallel Lines

• Volume

• Cylinder, Cone, Sphere

## Extensions

#### Geometry Pythagorean Theorem, Volume Pixel Art Unit BUNDLE | 8th Grade CCSS

\$16.99

Students practice geometry concepts including the pythagorean theorem, distance formula, triangle sum theorem, exterior angle theorem, and volume of cylinders, cones, and spheres in this 8th Grade CCSS Geometry Pixel Art Unit Bundle. It contains 6 products with 13 pixel art activities total.

These self-checking Google Sheets give students instant feedback. Incorrect answers are highlighted in red, and correct answers turn green and unlock parts of a mystery picture. They’re easy to assign, keep students engaged, and free up your time for differentiation and more.