Spectrum Mathematics Purple Book Answers

You are probably reading this right now stressed, frustrated, exhausted, etc. because your 8^th grade student is having difficulty with the 4 letter word "math". I feel you–and as someone who tutored for 7 years, I absolutely understand where you are right now.

But there's good news! You don't have to feel this way!

As the CEO of the leading in-person and online tutoring company in the nation, I feel the obligation and duty to help all 8th grade students master their mathematical skills, regardless of if they use our services or not.

Therefore, my team and I have spent dozens of hours of research to compile a regularly updated post on everything you need to know about 8th grade math from the most credible resources currently available on the web in an practical and engaging format.

We break it down into 5 steps. The same 5 steps our tutors use to ensure academic success!

Navigate through this content by clicking on any of the links below or a link on page navigation sidebar to the right.

• Identify – 8^th grade math curriculum and common core math standards
• Teach – 8^th grade math vocabulary, lessons, videos, and example problems
• Practice – 8^th grade math printable worksheets, textbooks, and workbooks
• Demonstrate Mastery – 8th grade math practice test and games
• Review – 8^th grade essential concepts

It is our mission to spark bright futures. We hope the information we provide sparks a brighter future for your student.

If you like this resource, please help support our mission by linking out to it on your website or sharing it via social media. It would mean the world to us!

Happy Learning!

Todd VanDuzer –  Co-founder & CEO of Student-Tutor and High School Motivational Speaker

8^th Grade Math Curriculum and Common Core Math Standards

As stated in corestandards.org:

In Grade 8, instructional time should focus on three critical areas:

(1) Formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations;

(2) Grasping the concept of a function and using functions to describe quantitative relationships;

(3) Analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.

8^th Grade Common Core Math Standards

The common core breaks 8th grade math down into 5 section as listed below. Click on the links to view more information on the specific standard.

The Number System

• Know that there are numbers that are not rational, and approximate them by rational numbers.

Expressions and Equations

• Work with radicals and integer exponents.
• Understand the connections between proportional relationships, lines, and linear equations.
• Analyze and solve linear equations and pairs of simultaneous linear equations.

Functions

• Define, evaluate, and compare functions.
• Use functions to model relationships between quantities.

Geometry

• Understand congruence and similarity using physical models, transparencies, or geometry software.
• Understand and apply the Pythagorean Theorem.
• Solve real-world and mathematical 8th grade math problems involving volume of cylinders, cones and spheres.

Statistics and Probability

• Investigate patterns of association in bivariate data.

Additional 8th Grade Math Curriculum

• See 8^th grade math common standards in detail by clicking here.
• Get a free e-book on the 8^th grade math standards by clicking here.

Well, there you have it! Everything you need to know to efficiently identify all common core 8th grade math standards and curriculum. Now it is time to teach yourself everything you need to know about 8th grade math.

8^th Grade Math Vocabulary, Lessons, Videos, and example problems

Now that you know all the 8th grade math curriculum and what is expected by common core, let's show you the most credible, trustworthy, and best resources across the web to help teach you the curriculum and standards.

8th Grade Math Vocabulary

Cram.com

To learn the 8th grade math vocabulary terms you'll need, check out cram.com. They have 130 flashcards you can study online, print out, or play 8th grade math games with! You can even customize the number of flashcards you want to learn and do vocabulary memorization exercises.

Vocabulary Wall Cards

Want instant visual reminders of your 8th grade math vocabulary terms? These 78 wall cards are exactly what you're looking for. Print them out, hang them up somewhere you can see them while you're eating breakfast, and you'll never forget!

8th Grade Math Lessons

AAAKnow

AAAKnow has over thirty free sections covering at least four 8th grade math lessons each. Any aspect of 8th grade math is yours for the picking!

Learn Zillion

Oh, what's that? You want full lessons and videos for common-core-approved 8th grade math? For free? Yeah, this website's got you so covered.

Whether you're a teacher, student, or parent, you can easily log onto their nicely-designed site and thumb through their endless material.

8th Grade Math Videos

MasterMath

This website has eight specific 8th grade math videos, in which your friendly guide takes you through the MasterMath way of doing your homework! He writes on the screen and solves 8th grade math problems in real time.

MathChimp has five more free 8th grade math videos featuring great math lessons. (In one of them, Darth Vader teaches the Pythagorean Theorem!)

Hooda Math Tutorials

Want forty different videos explaining the ins and outs of 8th grade math? This is the math class you can take home with you and watch at your leisure. Stop, rewind, and rewatch the explanations and whiteboard examples as many times as you want.

8th Grade Math Example Problems

Analyze Math

Word problems can seem a little tricky, especially if you don't have a ton of practice with them. Well, here are 26 example 8th grade math word problems, complete with answers and explanations! Practice until you get all the questions correct.

8^th grade math printable worksheets, textbooks, and workbooks

8th Grade Math Printable Worksheets

Math Worksheets Land

Worksheets are what you wanted, and printable 8th grade math worksheets are what you'll get. In the aptly-named Math Worksheets Land, you have over 40 different 8th grade worksheets that you can print out and fill out.

Math Worksheets 4 Kids

Oh, so 40 worksheets aren't enough? I don't blame you. Here–try out these 158, absolutely free, totally printable 8th grade math worksheets.

eMathTest

These 16 printable worksheets are fully aligned with 8th grade math common core standards, and ready for free download.

8th Grade Math Workbooks

McGraw-Hill's Math Grade 8

It's the top-rated 8th grade math workbook on Amazon for a reason! According to the comments, it's easy to understand and great to practice with. It's not Common-Core aligned, but this workbook does help you build a solid math foundation.

Spectrum Math Grade 8

In the world of 8th grade math workbooks, Spectrum has been a winner for ages. The layout of the problems are easy and understandable, and the book provides tons of great practice.

Common Core Math Workouts, Grade 8

If you want something Common-Core aligned, check out this math workbook! These exercises are guaranteed to help "workout" your math skills, particularly when it comes to subjects like Geometry, Ratio and Proportional Relationships, The Number System, Expressions and Equations, and Statistics and Probability.

8th Grade Math Textbooks

There are a whole lot of textbooks out there claiming to be aligned with Common Core standards. But EdReport did a detailed investigation of over 80 textbooks–and only a handful were actually up to snuff. Here are the 8th grade math textbooks you can count on.

Eureka Math

Eureka Math is a series published by Great Minds, a small D.C.-based nonprofit–and one of the only publishers to pass EdReport's investigation with flying colors. As far as 8th grade math textbooks go, this one is absolutely high-quality.

Go Math!

The next best option is Go Math!, published by textbook giant Houghton Mifflin Harcourt. While not fully aligned with Common Core standards, this textbook passes EdReport's first test, and partially aligns with the others.

8th Grade Math Practice Test and Math Games

8th Grade Math Practice Test

Free Online 8th Grade Math Test

What a promising name! Free Test Online offers Common-Core-aligned 8th grade math practice tests that cover functions, the number system, expressions and equations, statistics and probability, and geometry.

After you take the test, you click "submit," and it shows you the correct answer, as well as the average number of questions correctly answered by site visitors.

Lumos Learning

With this 8th grade math practice test website, you get to choose:

• the number of questions you want on the test (Mini or Full-Length?)
• the standards you want to practice

And then, after every question, you immediately get to see if it was correct or incorrect, AND you get a full explanation. Wins all around!

8th Grade Math Games

Hooda Math

Remember Hooda Math from the video section? Well, he's back, with TONS of math-related games to play. Choose from one of a billion escape games (Escape the 13th floor, the candy factory, the classroom, the amusement park…) or check out something more sophisticated like Fraction Poker or Day Trader. Either way, you're guaranteed to learn through fun!

Math Play

If you click onto this website, it looks…less than exciting. But don't be fooled! Each one of those 19 blue links are fun and informative 8th grade math games that'll keep you occupied and learning. Pythagorean Theorem Jeopardy, anyone?

8^th Grade Essential Concepts

While all math skills and concepts learned in 8th grade are important, this section focuses on a few key math concepts that MUST be reviewed, practiced, and understood in order for students to successfully build on their math knowledge and increase their mental math speed going forward.

Many times if a student struggles in high school it is because he/she still does not have these essential concepts down from middle school or even earlier!

Some of these concepts may not have been taught in 8th grade but they should remain the main focus of review.

1. Negative Numbers

6th graders and up should known how to add, subtract, multiply, and divide positive and negative numbers.

Negative numbers, in particular can be tough for kids to 'wrap their heads' around. Check out the Kahn Academy lessons to learn everything you need to know!

Negative numbers introduction: Mysterious negative numbers! What ARE they? They are numbers less than zero. If you understand the nature of below zero temperatures, you can understand negative numbers. We'll help.

8th grade math negative number essential red flags:

• Spends a lot of time thinking about problems that should be mastered.
• Expresses stress or anger when working with negative numbers or subtraction, in general
• Relies too heavily on the calculator to compute values
• Loves addition but gets stuck when a number has a negative sign.

Parent / Teacher Tips:

• Review and test your students speed and accuracy with adding and subtracting
• Connect to real life like digging a hole, temperature, diving under water, and owing money.

2. Order of Operations (a.k.a "PEMDAS")

PEMDAS = Please Excuse My Dear Aunt Sally

…is the fun way to remember the steps we have to follow to solve math problems: Parentheses, Exponents, Multiplication & Division, Addition & Subtraction.

PEMDAS is what helps students know what to tackle first in a problem like this: (5 – 1)2 + 3 • 4 – 2 + 6 / 3

If one does not follow the order of operations, he or she will come up with an answer, but it will be wrong! Answer to expression above = 28. Master this essential 8th grade math concept by checking out the Kahn Academy lessons bellow.

Introduction to order of operations: This example clarifies the purpose of order of operations: to have ONE way to interpret a mathematical statement.

8th grade math order of operations essential red flags:

• Does not know what the purpose of PEMDAS is.
• Gets different answers after solving same problem multiple times.
• Spends a lot of time thinking about problems that should be mastered.
• Expresses stress or anger when working basic algebra problems.
• Reports not having enough time on assignments, quizzes, & tests

Parent / Teaching Tips:

• Review & test your child's speed & accuracy with order of operations.
• Make practicing a game.

3. Solving multi-step algebraic equations

Middle schoolers see algebraic problems getting more complex. Students need to be able to solve – without error – equations and expressions that requires multiple steps.

Single-step algebra: 3x = 6

Multi-step algebra: 3x + 2 = 4x – 8

Here we provide another amazing resource by Kahn Academy teaching you eveything you need to know about solving multi-step equations.

Introduction to solving an equation with variables on both sides: Sal solves the equation 2x + 3 = 5x – 2.

Red Flags

• Spends a lot of time thinking about problems that should be mastered.
• Expresses stress or anger when working multi-step problems
• Takes a lot of steps that do not get them closer to solving.
• Reports "not having enough time" on math homework, quizzes, or tests.
• Attempts to have calculator compute values for him/her

Parent / Teaching Tips:

• Review & test your child's speed & accuracy with PEMDAS
• Make practicing a game

4. Graphing Lines

Linear equations are present throughout algebra and students in middle school need to master this skill to be ready for more complexity in high school.

Lines can show up in a few different forms, but the most popular one is "slope-intercept form" or y=mx + b.

In y=mx + b, x and y are the variables that represent points on the graph, m is the slope (rise over run), and b is the y-intercept (because if you plug in 0 for x, you are left with b or the point (0, b).

Example graphed at right: y = – x + 6

Make sure you have these concepts mastered by clicking here! Here you will learn everything you need to know about the graphing lines essential 8th grade math concept.

Red Flags:

• Spends time thinking about problems that should be 'easy.'
• Expresses stress or anger when graphing linear equations.
• Takes a lot of steps that do not get them closer to solving.
• Reports "not having enough time" on math homework, quizzes, or tests.
• Attempts to have calculator compute graph line for him/her.

Parent / Teaching Tips:

• Make practicing a game: create a giant 'grid' on the floor and practice graphing points with your whole body standing where the point should be!

Conclusion

Remember to use our 5 step proven learning process when going over 8th grade math topics and concepts.

1. Identify the areas of weaknesses based on 8th grade math standards.
2. Teach / Learn the 8th grade math material using online videos, a tutor, or your teacher.
3. Practice those 8th grade concepts using worksheets, textbooks, and workbooks.
4. Master the 8th grade concepts by taking practice test and playing 8th grade math games.
5. Review the essential 8th grade math concepts needed to be successful in upcoming years.

Want more! Make sure to check out our top 10 free math websites!

Are there any other math resources I missed? Comment below and let me know! Happy Learning!

The following two tabs change content below.

• Bio
• Latest Posts

Hello! My name is Todd. I help students design the life of their dreams by ensuring college, scholarship, and career success! I am a former tutor for seven years, $85,000 scholarship recipient, Huffington Post contributor, lead SAT & ACT course developer, host of a career exploration podcast for teens, and have worked with thousands of students and parents to ensure a brighter future for the next generation. I invite you to join my next webinar to learn how to save thousands + set your teenager up for college, scholarship, and career success!

Spectrum Mathematics Purple Book Answers

Source: https://student-tutor.com/blog/8th-grade-math-curriculum-worksheets-problems-lessons-games-and-more/

Posted by: visserlicedle.blogspot.com

Share this post