Free Math Printable Worksheets with Answer Keys and Activities
Other free resources.
Feel free to download and enjoy these free worksheets on functions and relations. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Long Division with Remainders
- Long Division with Remainders #2 (Zeros in the Quotient)
- Long Division with 2 Digit Divisors
- Whole Number by Unit Fraction
- Equation of Circle
- Simplify Imaginary Numbers
- Adding and Subtracting Complex Numbers
- Multiplying Complex Numbers
- Dividing Complex Numbers
- Dividing Complex Number (Advanced)
- End of Unit, Review Sheet
- Distance Formula
- Simplify Rational Exponents (Algebra 2)
- Solve Equations with Rational Exponents (Algebra 2)
- Solve Equations with variables in Exponents (Algebra 2)
- Exponential Growth (no answer key on this one, sorry)
- Compound Interest Worksheet #1 (No logs)
- Compound Interest Worksheet (Logarithms required)
- Factor Trinomials Worksheet
- Factor by Grouping
- Domain and Range (Algebra 1)
- Functions vs Relations (Distinguish function from relation, state domain etc..) (Algebra 2)
- Evaluating Functions (Algebra 2)
- 1 to 1 Functions (Algebra 2)
- Composition of Functions (Algebra 2)
- Inverse Functions Worksheet (Algebra 2)
- Operations with Functions (Algebra 2)
- Functions Review Worksheet (Algebra 2)
- Logarithmic Equations
- Properties of Logarithms Worksheet
- Product Rule of Logarithms
- Power Rule of Logarithms
- Quotient Rule of Logarithms
- Solve Quadratic Equations by Factoring
- Quadratic Formula Worksheets (3 different sheets)
- Quadratic Formula Worksheet (Real solutions)
- Quadratic Formula (Complex solutions)
- Quadratic Formula (Both real and complex solutions)
- Discriminant and Nature of the Roots
- Solve Quadratic Equations by Completing the Square
- Sum and Product of Roots
- Radical Equations
- Mixed Problems on Writing Equations of Lines
- Slope Intercept Form Worksheet
- Standard Form Worksheet
- Point Slope Worksheet
- Write Equation of Line from the Slope and 1 Point
- Write Equation of Line From Two Points
- Equation of Line Parallel to Another Line and Through a Point
- Equation of Line Perpendicular to Another Line and Through a Point
- Slope of a Line
- Perpendicular Bisector of Segment
- Write Equation of Line Mixed Review
- Word Problems
- Multiplying Monomials Worksheet
- Multiplying and Dividing Monomials Sheet
- Adding and Subtracting Polynomials worksheet
- Multiplying Monomials with Polynomials Worksheet
- Multiplying Binomials Worksheet
- Multiplying Polynomials
- Simplifying Polynomials
- Factoring Trinomials
- Operations with Polynomials Worksheet
- Dividing Radicals
- Simplify Radicals Worksheet
- Adding Radicals
- Multiplying Radicals Worksheet
- Radicals Review (Mixed review worksheet on radicals and square roots)
- Rationalizing the Denominator (Algebra 2)
- Radical Equations (Algebra 2)
- Solve Systems of Equations Graphically
- Solve Systems of Equations by Elimination
- Solve by Substitution
- Solve Systems of Equations (Mixed Review)
- Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
- Real World Connections (Compare cell phone plans)
- Identifying Fractions
Trigonomnetry
- Law of Sines and Cosines Worksheet (This sheet is a summative worksheet that focuses on deciding when to use the law of sines or cosines as well as on using both formulas to solve for a single triangle's side or angle)
- Law of Sines
- Ambiguous Case of the Law of Sines
- Law of Cosines
- Vector Worksheet
- Sine, Cosine, Tangent, to Find Side Length
- Sine, Cosine, Tangent Chart
- Inverse Trig Functions
- Real World Applications of SOHCATOA
- Mixed Review
- Unit Circle Worksheet
- Graphing Sine and Cosine Worksheet
- Sine Cosine Graphs with Vertical Translations
- Sine, Cosine, Tangent Graphs with Phase Shifts
- Sine, Cosine, Tangent Graphs with Change in Period, Amplitude and Phase Shifts (All Translations)
- Tangent Equation, Graph Worksheet
- Graphing Sine, Cosine, Tangent with Change in Period
- Cumulative, Summative Worksheet on Periodic Trig Functions - period, amplitude, phase shift, radians, degrees,unit circle
- Ratio and Proportion
- Similar Polygons
- Area of Triangle
- Interior Angles of Polygons
- Exterior Angles of Polygons
- Identifying Fractions Worksheet
- Associated Powerpoint
- Simplify Fractions Worksheet (Regular Difficulty)
- Associated PowerPoint
- Simplify Fractions Worksheet (Challenging Difficulty level for advanced learners)
- System of Linear Equations Worksheet
- System of Linear Equations - Real World Application
- Compositions of Reflections. Reflections Over Intersecting Lines as Rotations
All of these worksheets and activities are available for free so long as they are used solely for educational, noncommercial purposes and are not distributed outside of a specific teacher's classroom.
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How to make and use a cheat sheet to learn information faster
Katie Azevedo March 8, 2021 good habits , grades , note-taking , study skills , study tips
By Katie Azevedo, M.Ed.
If you’re a student of any age, you should know how to make and use cheat sheets. Cheat sheets are an incredible way to organize and learn information faster, whether you’re a middle schooler, graduate student, or professional.
If you’d prefer the video version of this tutorial, then here you go:
What is a cheat sheet?
- A physical resource that you create
- A concentrated version of everything you need to know for a test, unit or a class, all in one central location
- Usually contained to the front and back of one 8.5 x 11 piece of paper
- Different from class notes (so you need to have a solid notetaking system too)
Cheat sheets vs. class notes
Cheat sheets are like a concentrated version of your class notes. Your regular class notes include everything , and the information is much more general. On the other hand, your cheat sheet will include only the MOST important information.
You can build your cheat sheet with information that you pull from your class notes, so they go hand in hand.
How to make a cheat sheet
The most important step to creating a cheat sheet is to create it over a period of time, usually for however long you cover a topic in class. In other words, you should start making your cheat sheet on the first day of a new unit, and then add to it every day until that unit is over.
You should have a different cheat sheet for every class, and you could have multiple cheat sheets for each class, creating a new one every time a unit changes.
Bring your cheat sheet to class everyday so you can add items to it during class, and then have it with you during your homework so that you can add it while you’re at home.
I recommend taking general class notes during class, and then adding select information from your notes to your cheat sheet after class, once you’ve had a chance to review your notes and figure out what’s important and what’s not.
Analog vs. Digital
I urge you to make your cheat sheet by hand, instead of on the computer. First, science says we better process information when we write it , as opposed to typing. Additionally, you’ll be able to fit more information on the page, and you’ll be able to add to the document regularly before or after class without having to take out the screen, find the file, mess with the formatting, or deal with Wi-Fi. Quickly accessing your cheat sheet and adding to it without fuss is a key part of the process – and paper has this advantage.
If you want, at the end of the unit, you can type up your cheat sheet in preparation for a final test. Redoing and reformatting your cheat sheet digitally right before a test can be a helpful way to study.
What to put on your cheat sheet
Remember, don’t put everything. Put only the most important things.
- Important information that your teacher covers in class. (Here are 7 clues you should write something down )
- Important info you pick up from your textbook readings, for homework or during class
- Key items from notes you take during class
- Key questions from quizzes throughout a unit
- Key questions from homework worksheets or problem sets
- Important formulas
- Character names and traits
- Key themes and symbols
- Key terms and definitions
- Key steps to solve a problem
- Important figures, dates or timelines
- Important concepts of theories
- Key diagrams or infographics
You can have fun creating your cheat sheet. Use different colored pens for different types of information – like blue for definitions, red for formulas, green for people, etc. Use good quality, thick paper. Come up with a cool way to separate the information into different boxes. Make it fit your style.
But as always, a key school habit is to keep it simple.
IMPORTANT NOTE: Any time your cheat sheet gets messy or disorganized, redo it. Any time you redo it, use that time to review what you have on there and cut anything that no longer seems important.
How to use a cheat sheet : 3 ways
You made a cheat sheet! Good for you. Now you need to know to use it.
As you build your cheat sheet over time, you’ll find that it will become more and more helpful to you.
- Homework tool. Keep it by your side as reference as you do your homework. As you do your homework, be on the lookout for information that you want to add to your cheat sheet. The cheat sheet is meant to help you get through your homework.
- Study guide. Cheat sheets make awesome study guides at the end of a unit. To study for a test, you will want to consult all of your class notes, but the cheat sheet is where you’ll find the most important info.
- Open-note-test reference. Some teachers allow students to use a cheat sheet for open-note quizzes or tests. If your teacher has different rules about what she or he allows you to use on the test, you can just modify your cheat sheet to fit your teacher’s criteria. For example, if you’re only allowed an index card, then remake your cheat sheet to fit those dimensions.
What a cheat sheet is NOT
This goes without saying, but I’m going to say it. A cheat sheet is NOT for cheating. Cheating is messed up. If you feel you have to cheat, then it’s either because you don’t care (oh dear) or you don’t feel that you’re capable of learning the material (also oh dear). If you think cheating is the only way to get through a test, then watch this video about asking for help .
Why cheat sheets work
The process of creating a cheat sheet enables you to learn material as you are being taught . (Most people study information only right before a test, which is the worst, most ineffective study method ever.) Every time you add or remove items from your cheat sheet, you think about the material. And every time you think about the material, you process it a little more. And what is processing? Learning!
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Math Cheat Sheets
I LOVE THESE. They are easy to use for students and teachers. They are great review and / or assessment tool. They're my favorite to use after reviewing for a "homework" grade. I know if they can get to the end of it they understood what we were doing. - 5 stars, Morgan M
39 comments:
Help. I can't find the math cheat sheets...I keep circling around. I'd really like to see them.
If you click on the blue "MATH CHEAT SHEETS" in this post you will be taken to all of my posts with math cheat sheets in them.
I don't see the blue math cheat sheets that you mention.
Sorry about that. I replaced the link with the thumbnail images to every post with cheat sheets so that they would all fit on one web page.
That is a lot of clicking. Wow! You sure have a lot of stuff!! Super Job!
Thank you Marilyn! I hope you have a great year!
I'd like a copy of the integer operations cheat sheet, but can't figure out how to download it. Help!
It's listed on Teachers pay Teachers as "Integers Graphic Organizer", but there are a lot of them so I am happy to email it to you. My email is [email protected]. And I apologize for just getting back to you now... Blogger's comment notifaction emails have been broken (just learned that today!)
Would love to see a graphing a linear and/or proportional relationship cheat sheet.
Thank you Michelle! I hope to create one by mid September. It will be linked here.
I don't se any blue link to the math cheat sheets, can you help?
Hi Marty, thank you for your comment. For any of the sheets you see in the post, just click on its picture (avoiding the Pinterest icon) and you’ll be taken to its post.
These are wonderful! Thank you!
My pleasure! I hope you are having a great school year!
Hey. You so many AMAZING things on this site, but I'm having a little trouble downloading the PDF version of all these pictures. Could maybe help me out a little, please?
Hi Nazeeya, if you click on one of the images, it will bring you to a post where you can download the sheet for free. If you are having trouble, please send me an email and I can help.
Hey. Thank you so much. I should have looked harder. So sorry for all the hassle. Thank you again:)
No apology needed:) I hope you are having a great year.
Do you have any Quick Checks or Cheat Sheets on transformations of quadratics? I really liked how your Exponential Function Quick Check has it where they are comparing between the parent function and the function they are given; and your Graphing Exponential/Log Functions sheet shows them how it was transformed from the parent. Thanks for all the Freebies, they are great references/notes/exit tickets/posters for students!
Hi Courtney! I do have cheat sheets for quadratics. The setup is a little different as they are older. In this post is a link to the ones we'd use in class (cheat sheet link in blue): https://www.scaffoldedmath.com/2020/01/how-to-graph-vertex-form-quadratic-functions.html
Love Love your word walls. I was wondering is their a wall for polynomials. It's not in Algebra 1 and I purchased? Also, is it possible to add to the slides when something is missing? thanks! You are great, if I forgot that part...
Thank you for your kind words! As a coincidence, I am taking new photos of the Algebra 2 word wall today to make the virtual version and just photographed the polynomials section. It's just for sketching polynomials, so may not be what you need. But please email if there is something you had in mind.
This is a really awesome resource. Thank you SO much!
It's really my pleasure. If you need a topic covered, I'd love to help. I have very much enjoyed making these math reference sheets and videos.
Help, I am looking for your math word problem table, and I can't seem to find it. It helps students break the problem down to be able to solve it.
I’m not 100% sure which this is. Can you please send me an email? [email protected]
Hi Shana, Your math posters help my students a lot! You are the best !!
So awesome to hear this! I hope you are having a good year!
Hello! I have a hard copy of “function cutouts. Trying to locate an answer key please and thank you
Hi Amanda, would you be willing to send a screenshot of what you have so I can point you in the right direction? I have a few functions activities involving cutouts, so am unsure which one you have. My email is [email protected]
Your cheat sheets are AMAZING!!! Thank you :)
Thank you! I'm so glad you are finding them helpful:)
Where is the Slope mystery message cheat sheets?
The Slope Mystery Message is a task cards activity in my blog's free math resource library here: https://www.scaffoldedmath.com/p/subscribe.html
i love this it got me to an A in all of my classes thank you so much
Yay! That's great! I hope you have great rest of your year and a relaxing summer. You earned it!
Do you have any for Geometry?
I don't, but if there is one you need I may have some ideas on how to make it. My email is [email protected]
Thank you so very much for the awesome resources. I am able to use the with second language English students because they're so easy to follow.
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