Free Printable Math Worksheets

Free Printable Math Worksheets

Free printable math worksheets are a terrific way for students to practice math skills.  By utilizing math worksheets, this can free the teacher from needing to take extra time to create practice math questions and problem sets.  Also, with the right math worksheets, students can learn cool math games and learn that math is fun.

This website can be used as a math resource for students and math teachers alike.  Anyone looking to practice their math skills or learn new math concepts should use these free printable math worksheets to practice and get good at solving mathematics problems.  Teachers looking for math worksheets and problem sets for their math students will also find this site to be very valuable to help them teach the mathematics concepts in their math classes.  These can be used as math print out worksheets, if you wish, or can just be copied down and worked out with a pencil and paper, just like students would do in school on a math test or math quiz.  If there is any topic in particular that anyone, teachers or students, would like me to be included, then please leave me a comment below and I will see what I can do.

I have found a great resource at Homeschoolmath.net that has all sorts of automatically generated math worksheets available for several elementary math grades.  Here's a link to their website that is loaded with free printable math worksheets.  There are worksheets specifically appropriate for grade 1 up to grade 6, and then several more worksheets that focus on specific math concepts.  I highly recommend visiting this site!

The following print out worksheets and problem sets are math questions that I have written on my own.  Feel free to download the files and print them out.  I will post answers as well, and I apologize in advance if there are any errors.  Again, please leave me a comment if you find an error and I will make the correction on the worksheet.

I hope that you find these math worksheets useful, and that they help you to more fully understand the topics and math concepts that I have discussed in other blog posts.  Feel free to leave feedback below, especially what you would like to see or what you would like changed.

Here are a few worksheets to get you started.  I will eventually be adding more to this list.  As teachers can agree with, creating math worksheets can take a lot of time... time which frequently could be better used to plan other aspects of their course curriculum.

Addition Worksheet 1 (with answer key)
Addition Worksheet 2 (with answer key)
Addition Worksheet 3 (with answer key)
Subtraction Worksheet 1 (with answer key)
Subtraction Worksheet 2 (with answer key)
Subtraction Worksheet 3 (with answer key)

Trig Identities Cheat Sheet

Trig Identities Cheat Sheet

This is your trig identities cheat sheet!  Trig identities are defined as mathematical expressions that relate various trigonometric functions to others, regardless of what the variables are.  The trig identities are true for all values of the variable.  They are incredibly valuable to understand and to memorize, and their usefulness becomes apparent when you are faced with a complicated trigonometric expression that needs to be simplified.

All you need to do is rearrange the complicated trig expression such that you can express it in terms of the trigonometric identities, substitute in the identity to simplify, and carry on with solving the math problem.  Think of them as a type of "constant" that can be swapped into expressions (that use sine, cosine, tangent, or any of the related trig functions secant, cosecant, or cotangent) to change their appearance without changing the math surrounding the expression.

Trig identities are extraordinarily important in helping you solve your mathematics questions, and so the identities that I list and explain on this trig identities cheat sheet should really be committed to memory.  If you know them and can recognize them automatically, your math homework and trigonometry questions will become a lot easier.

Reciprocal Identities

For the first set of trig identities, I will list the Reciprocal Identities.  These may be familiar to you already, especially if you have been introduced to the trig functions secant, cosecant, and cotangent.  I'll refer you to my post on sine, cosine, and tangent for their basic definitions, as I will build upon those.  If you look at the definition of sine, you see that it is the ratio of opposite over hypotenuse.  (Remember SOHCAHTOA!)  If you invert this ratio to be hypotenuse over opposite, this is the definition of cosecant.  The same thing applies to secant and cotangent: they are the reciprocal ratio of the sides that define the basic trig identity.  So, then you can also say that these trig functions are the reciprocal of the basic trigonometric functions.  Here they are listed for you:

Naturally, you can rearrange these trig identities to isolate the other trigonometry functions as well:

And those are the first set of trig identities I am going to mention here on my trig identities cheat sheet: the Reciprocal Identities.

Pythagorean Identities

The next set that I would like to mention are the Pythagorean Identities.  Allow me to direct you to a recent post I put up on my In Mathematics blog that had a lengthy explanation about Pythagorean Identities.  I recommend giving that a read to better understand where these trig identities are coming from and how they can be derived.  However, for completeness, I will list them here as well, like above.

Quotient Identities

The Quotient Identities are another set of trig identities that are fairly easy to remember, especially when you understand how to derive them.  Start with the basic trig definitions for sine and cosine.  Sine is opposite over hypotenuse, cosine is adjacent over hypotenuse.  Now, divide sine by cosine:

sine / cosine = [opposite / hypotenuse] / [adjacent / hypotenuse] = opposite / hypotenuse

The hypotenuse in the numerator and denominator expressions cancel out, and you are left simply with the basic trigonometric definition of tangent!  Similarly,divide cosine by sine to get the second quotient identity.

The identities that I have explained above are sometimes considered to be the 8 fundamental trigonometric identities, including the Reciprocal (x3), Pythagorean (x3), and Quotient (x2) identities. Hopefully my explanations have helped you to understand the logic behind these identities, which will ideally make them easier for you to memorize and work with!

Please remember to +1 me if this was useful!

Mental Math Secrets

Have you ever wanted to learn Mental Math Secrets?  Wouldn't it be amazing if you could do all of your math questions in your homework or on tests without ever having to use your calculator, or even having to write it down, because you could quickly and accurately find the answers in your head?  If you improve mental math techniques, this could very easily happen for you!