You are probably reading this right now stressed, frustrated, exhausted, etc. because your 7^{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 7th 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 7th 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**– 7^{th}grade math curriculum and common core math standards**Teach**– 7^{th}grade math vocabulary, lessons, videos, and example problems**Practice**– 7^{th}grade math printable worksheets, textbooks, and workbooks**Demonstrate Mastery**– 7th grade math practice test and games**Review**– 7^{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

# 7^{th} Grade Math Curriculum and Common Core Math Standards

As stated in corestandards.org:

In Grade 7, instructional time should focus on four critical areas:

(1) developing understanding of and applying proportional relationships

(2) developing understanding of operations with rational numbers and working with expressions and linear equations

(3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume

(4) drawing inferences about populations based on samples.

## 7^{th} Grade Common Core Math Standards

The common core breaks 7th grade math down into 5 section as listed below. Click on the links to view more information on the specific standard.

Ratios and Proportional Relationships

- Recognize and represent proportional relationships between quantities.
- Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- Solve real-world and mathematical problems involving the four operations with rational numbers.

- Use properties of operations to generate equivalent expressions.
- Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

- Draw construct, and describe geometrical figures and describe the relationships between them.
- Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

- Use random sampling to draw inferences about a population.
- Draw informal comparative inferences about two populations.
- Investigate chance processes and develop, use, and evaluate probability models.

## Additional 7th Grade Math Curriculum

- See 7
^{th}grade math common standards in detail by clicking here.

Well, there you have it! Everything you need to know to efficiently identify all common core 7th grade math standards and curriculum. Now it is time to teach yourself everything you need to know about 7th grade math.

# 7^{th} Grade Math Vocabulary, Lessons, Videos, and example problems

Now that you know all the 7th 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 7th grade math curriculum and standards.

## 7th Grade Math Vocabulary

If you’re looking for a great 7th grade math vocabulary resource, look no further. This free Harcourt website provides math definitions from A-Z. Click on the terms and watch the definition pop up! You can test yourself, and it provides good practice.

Plus, there’s even more! If you’re looking for reminders on metric and customary units, just click on the word “Tables” underneath the highlighted number 7. There, for your studying convenience, you’ll find tables on metric and customary units, as well as time, formulas, and symbols you might have forgotten about.

Also, if you want to break up your vocab, you can click on any of the letters, and you’ll just see the words and definitions of the 7th grade math terms that begin with that letter. (So if you click on “C,” you’ll see “capacity,” “cell,” “central angle,” and so forth.)

Here are 22 7th grade math vocabulary flashcards that can provide you plenty of valuable study time. Choose the range of words you want to study, and then you can learn the words online, OR print them out!

You can study on the “flashcards” tab, or you can click over to the “memorize” tab. On that tab, you can shuffle or alphabetize the cards, and then test yourself. If a definition pops up, try and guess the word. If a word pops up, guess the definition.

And after clicking “See Answer,” you can either click that you got it wrong, or you got it right. Then you can keep practicing the ones you got wrong until you know them like the back of your hand!

The “Test” tab is also helpful–it features the vocab you’ve been studying in a different format. Match the words and definitions of each card for greater comprehension!

## 7th Grade Math Lessons

Looking for a solid list of 7th grade math lesson plans–by teachers, for teachers? Check out Hot Chalk. This page has clever lesson plans for everything from permutation to area and perimeter.

To demonstrate these creative lesson plans, let’s take a look at Hot Chalk’s plan to teach integers:

1. Teacher will tape a line on the floor across the room and create cards of integers from the -15 to 15 and have the students come up and choose a card and create the number line.

2. Students will place themselves on the number line and the class will go up in groups of 10.

3. Students and the teacher will discuss the spacing, number values, opposites of the numbers and absolute value of the number.

4. The teacher will cover the rules of negative and postive numbers and practice the concept on the number line with students doing the moves to the correct answers.

5. The relationship of the number spacing will be displayed with certain students in the class with the number the teacher calls out and the students will decide what the answer is to the distance between numbers.

6. The teacher will create equations that the class will have to solve on the number line as a group. First Addition and then Subtraction.

7. The class will complete the textbook homework during class and finish as homework.

If you’re looking for personalized 7th grade math lessons, Khan Academy is the place to go! They’ve got a huge, reputable database filled with instruction on any of the finer points of many, many subjects–math definitely included!

The videos feel incredibly interactive, too, unlike many videos that are supposed to mimic classroom instruction. A warm, professional voice narrates, and the examples are drawn in real-time on a black screen, which looks somehow clean AND human.

After watching a video, too, you can click the big green “Practice this concept” button, and you’ll instantly be taken to a page where you can answer practice questions to your heart’s content.

Learn Zillion is incredibly designed, common-core-aligned, and bursting with quality. This is the place to go for 7th grade math lessons, for teachers and students alike.

If you click on a particular standard (the blue letters) or lesson (the small grey folder icons), you’ll be taken to a screen with multiple high-quality videos. One video is titled “direct instruction,” and can be used to teach a class, or for extra homework help. There are also often more videos under “additional resources” that further explain the lesson.

## 7th Grade Math Videos

Free videos, lovingly made. This is what you can expect when you check out the math videos for your 7th grader at MathFox.com. Look up video lessons on any topic from integers to decimals to angles to exponents, watch, and rewatch.

Unfortunately, this resource isn’t *exactly* free. You can watch any single video for no charge, but if you try and click over to a second video, you’ll need to register for a paid account if you want to continue to watch.

Packages range from single accounts for enthusiastic students, to classroom-wide accounts for smart teachers. A year of access for a single account costs $56 (or about $4.67/month), while 6 months for a single account costs $39 (or $3.25/month).

My advice for students looking for extra practice? Find two friends who share your passion for math and split a 6-month account. Then you’re free to watch as many times as you want!

Sure, there are a ton of math videos out there. But what about videos from actual math *classrooms?* These videos take you inside the classrooms of top teachers. Explore the public lessons they offer on Area and Perimeter, Algebraic Equations, and Comparing Linear Functions–to name a few.

One thing to note is that these videos might be more helpful as inspiration for teachers. The lessons are meant to be interactive. (For example, in one, a teacher hands out cards with algebraic expressions, and then has his class stand up, and find other people in the classroom who have cards that match.)

While students might find some benefit from seeing lessons explained in more creative ways, it’s likely that they won’t benefit as much as the students actually *experiencing* the lesson. However, since they’re free to watch, there’s no reason why you shouldn’t try!

## 7th Grade Math Example Problems

This document features 14 Common Core 7th grade math example problems. It includes a key, an explanation, and an overview of the skills needed for the student to successfully complete that particular problem.

One thing that’s nice about these questions is that each problem relates to a specific core standard, and also includes an explanation of *why* that particular problem relates to that core standard.

Here’s an example:

Aligned CCLS: 7.EE.1Commentary: This question aligns to CCLS 7.EE.1 because it assesses a student’s ability to apply properties to subtract linear expressions with rational coefficients.

This website features 44 Common Core sample problems for 7th graders. Students get instant feedback after each answer, as well as an explanation of why their answer was correct or incorrect.

One thing that’s a little strange about this website is that you can only see one question at a time. Students can click on the “Practice Question” button next to a particular core standard, and then answer it. But to continue answering questions, you’ll need to click the “back” button, and then click on the next core standard.

# 7^{th} grade math printable worksheets, textbooks, and workbooks

## 7th Grade Math Printable Worksheets

This website offers more than 30 printable worksheets for 7th grade math. But wait–the problems are randomly generated each time you click on the worksheet link! This means you’ve got endless problems covering 7th grade math concepts–for free!

The three main topics that Homeschool Math covers are:

- Introduction to algebra
- Integers
- Multiplication and division

Each worksheet also includes answers to each randomly generated question, so you can check your work (or your students’ work)! There aren’t any explanations, but you can’t always get what you want.

Homeschool Math also warns:

Please note that these free worksheets do not cover all 7th grade topics; most notably, they do not include problem solving.

That being said, they still DO cover a majority of topics, and they have infinite practice problems for these topics. Definitely more of a win than a loss!

Oh, what’s that? NINETY 7th grade math worksheets that you can print and fill out? For free?

These PDFs can’t be automatically refreshed, so each worksheet is sort of one-time use (at least, if you’re a student practicing on your own).

However, the topics covered include order of operations, polynomials, graphs and data tables, rational expressions, radicals, linear equations, complex numbers, logarithms, finding values and functions, quadratic equations and geometry.

Each worksheet also includes an answer key on a separate page, much like Homeschool Math. Download ’em, print ’em out, and get practicing!

Want even more printable worksheets for 7th grade math? Look no further than Helping With Math! With worksheets covering decimals, expressions, equations, geometry, integers, percentages, ratios, and statistics, you’ve got all the materials you’ll need for any 7th grade math review session.

Also, HARK! These worksheets DO cover problem-solving! They have an entire section just on word problems, as well as other problem-solving worksheets.

However, the answer key situation is somewhat unclear. When you click on a worksheet, there’s a box you can check that shows the answers, but whether or not the answers print out on a separate sheet remains to be seen.

These worksheets are also much longer. While Math4Children Plus and Homeschool Math had one-page worksheets, these worksheets can be up to 10 pages long. 10 pages of practice for one concept! As far as practice materials go, I give this one a huge thumbs-up.

## 7th Grade Math Workbooks

192 pages of drills and practice? Yes, please! An Amazon reviewer calls it “a wonderful practice book that covers all the basics,” while another says that “each subject is introduced with good clear concise explanations.” This 7th grade math workbook is sure to please.

Looking for another 7th grade math workbook? Reviewers call this “well-written” and “easy-to-understand.” The pages also tear out for examples and assignments!

## 7th 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 is the *one* 7th grade math textbook you can count on.

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 7th grade math textbooks go, this one is absolutely high-quality.

# 7th Grade Math Practice Test and Math Games

## 7th Grade Math Practice Test

Do you want some basic 7th grade math practice? Math-Tests.com offers different free online practice tests on the subjects of adding and subtracting integers, the coordinate plane, and translations.

With practice tests, it’s fair to say that there’s a scale. Some are more on the “practice” side, like Lumos Learning (below). Math-Tests.com is definitely on the “test” side. This means that the tests have a time limit, and if you get a question wrong, there are no helpful paragraphs explaining why.

So, if you’re looking to see how you do under pressure, try out a test from Math-Tests.com. If you’re looking for a more low-key, customizable experience, read Lumos Learning’s description.

Hey, this looks familiar! But even though we’ve seen Lumos Learning before on this blog post, their practice test is an entirely different experience from their practice questions.

Instead of clicking a single question and clicking back, you can get a full practice test experience. If you’re looking for a customizable, Common Core aligned, 7th grade math practice test with instant feedback, Lumos Learning is the place for you. Practice for free, and choose the length of your test. You can even customize the standards you practice!

Note: If you choose one standard/topic to practice, you’ll end up with a practice test that’s only two questions long. Because of that, either choose an ENTIRE standard (for example, all the 7.EE’s), or mix it up. Just make sure you check at least five boxes to get a practice test of reasonable length.

Or, if you care less about the particular topics, and more about the test length, Lumos Learning has a setting for that! You can choose “Full Length Practice Test,” or you can choose “Mini Test,” which gives you the option to pick between 3 and 43 questions.

## 7th Grade Math Games

Wondering how coffee and the Pythagorean Theorem go together? Well, look no further! Kids MathTV offers 7th grade math games that are unexpected and educational.

In the interest of full honesty, I’ll admit–some of these just aren’t fun. They’re just not. They’re basically worksheets, but correct answers happen to fill up a cartoon coffee pot or a test tube. However, there ARE some actual fun ones, even if I wasn’t 100% sold at first:

- Percentage of numbers – Fishing game

You might think that “fishing” for remarkably quick-swimming rainbow trout would be dull. (And even moreso when you discover that catching a fish prompts the game to ask you a question about percentages.) But somehow, the graphics, the simplicity of the questions, and the fact that catching a fish*does*take a peculiar blend of timing and skill all combine to make this gameplay sort-of exciting, and largely soothing. - Finding powers and exponents – Board game

This board game mostly features flashing lights and cute monsters, but the uncertainty of which game tile will light up, plus the broad range of questions (I went from answering 1-squared to 62-squared within ten seconds. What??) are sure to be more interesting than filling a virtual coffee pot. - Spin the wheel

Arguably the least fun of the three, but STILL FUN. I stand by this. Somehow, spinning a wheel and waiting to see what it lands on–even if the thing it lands on is a math question–holds timeless excitement.

These math games are more interactive and come with fun sound effects. Here are a couple of the ones that I deem worth-playing:

- Math Racing: Adding Integers

Anyone who likes racing games will be excited about this game. The math questions do feel a little bit like they’re interrupting, but there are enough other aspects of the game that make it fun. - Millionaire Game: Absolute Value

Maybe I’m the only one who thinks this is fun, because I remember watching “Who Wants to be a Millionaire?” as a kid. This math game is incredibly straightforward. It doesn’t waste time trying to pretend it’s not actually just asking you math questions. But by embracing this, it makes the questions fun. Dramatic music, plus fun graphics, plus the tension of winning fake money…it all combines to create a worthwhile 7th grade math game. - One Step Equation Game

This game is actually two-step. First, you answer a math question. Then, you try and score a three-pointer (which actually requires some game skill! You need to be quick with your mouse to line up some circles and lines). For me, the combination of math-question with actual-game makes this fun. Consider it recommended!

# 7^{th} Grade Essential Concepts

While all math skills and concepts learned in 7th 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 7th 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.

**7th 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.

**7th 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

**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 7th grade math topics and concepts.

- Identify the areas of weaknesses based on 7th grade math standards
- Teach / Learn the 7th grade math material using online videos, a tutor, or your teacher
- Practice those 7th grade concepts using worksheets, textbooks, and workbooks
- Master the 7th grade concepts by taking practice test and playing 7th grade math games
- Review the essential 7th 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!

#### Todd VanDuzer

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