# 8th Grade Math—Semester B

Move over, Pythagoras.

Baffled by how dysfunctional functions can be? Upset that most triangles feel more wrong than right? Dismayed that despite your best efforts, lines of best fit are your worst enemies?

Well, not anymore.

We'll guide you through complex systems of linear equations and help you identify functions and relations. (Just a tip: those Groucho glasses aren't fooling anyone.) After we buckle down and prove the Pythagorean Theorem, we'll slide on our 3D glasses and get cozy with cones, cylinders, and spheres. By the time we finish up with scatter plots and lines of best fit, you'll be wishing the math party never ended.

Chock-full of problem sets, activities, and quizzes, this Common Core-aligned course covers:

- solving systems of linear equations and inequalities.
- comparing and describing functions and relations.
- proving and applying the Pythagorean Theorem.
- calculating volumes of 3D solids.
- graphing scatter plots and analyzing lines of best fit.

P.S. 8th Grade Math is a two-semester course. You're looking at Semester B, but you can check out Semester A here.

## Course Breakdown

Purchase units individually### Unit 8. Systems of Linear Equations and Inequalities

In this unit, we're going to work with two of the most common algebraic tools that humans use to plan and strategize: systems of linear equations and systems of linear inequalities. You can use them to plan your entrepreneurial ventures, strategize your rise to power, and orchestrate your eventual takeover of the free world. Useful stuff, isn't it?

### Unit 9. Functions and Relations

By the end of this unit, you'll have so many new function friends, you'll need to build a bigger tree fort. We'll get familiar with what our function pals look like in algebraic or in graph form, what kinds of *x* and *y* values they have, their favorite One Direction song, and what their food allergies are. You know; all those little details that friends should know about each other.

### Unit 10. Triangles and the Pythagorean Theorem

Triangles are really basic stuff, right? After all, how many permutations of three sides and angles can there be? Sure, the shapes themselves are pretty simple and predictable—but that doesn't mean there isn't a lot to say about them. We'll explore these three-legged creatures in their natural habitats and even use the Pythagorean Theorem to prove that some are more right than others.

### Unit 11. 3D Geometry

This unit is all about getting to know cylinders, cones, and spheres inside and out—and we're literally talking about the insides and outsides of these solids. We'll learn their volume and surface area formulas and even dive into a bit of density, so it may help to break out the calculator for this one. We'll finish off with a hands-on project that'll get students psyched about circular solids.

### Unit 12. Statistics

In this unit, we're going to cover the basics of collecting and analyzing bivariate data, or data that explains the relationship between two variables. With two-way frequency tables and scatterplots abound, we'll guide you through the complexities of nonlinear associations, linear models, and both numerical and categorical data. By the time we're through, lines of best fit will be your very best friends. Get the scrapbook ready.

- Course Length: 18 weeks
- Grade Levels: 8
- Course Type: Basic
- Category:
- Math

- Prerequisites:

7th Grade Math—Semester A

7th Grade Math—Semester B

8th Grade Math—Semester A

Just what the heck is a Shmoop Online Course?

Courses Tutorial

### Common Core Standards

The following standards are covered in this course:

CCSS.Math.Content.8.EE.A.2CCSS.Math.Content.8.EE.B.6

CCSS.Math.Content.8.EE.C.8

CCSS.Math.Content.8.F.A.1

CCSS.Math.Content.8.F.A.2

CCSS.Math.Content.8.F.A.3

CCSS.Math.Content.8.F.B.4

CCSS.Math.Content.8.F.B.5

CCSS.Math.Content.8.G.A.1

CCSS.Math.Content.8.G.A.2

CCSS.Math.Content.8.G.A.4

CCSS.Math.Content.8.G.A.5

CCSS.Math.Content.8.G.B.6

CCSS.Math.Content.8.G.B.7

CCSS.Math.Content.8.G.B.8

CCSS.Math.Content.8.G.C.9

CCSS.Math.Content.8.SP.A.1

CCSS.Math.Content.8.SP.A.2

CCSS.Math.Content.8.SP.A.3

CCSS.Math.Content.8.SP.A.4