Free Math Sheets for 4th Grade! (Easy to Print)

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Free Math Sheets for 4th Grade! (Easy to Print)

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Free Math Sheets for 4th Grade!

Are you looking for the best free math sheets for 4th grade students?

The following shares over 100 completely free math sheets for 4th grade. They are easy to print and share at home or in the classroom, and they all include answer keys!

Enjoy!

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1.) Math Sheets for 4th Grade: PDF Worksheets and Answer Keys

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The following collection shares over 100 free and easy to print math sheets for 4th grade on topics including fractions, place value, unit conversion, multiplication, division, and more! Plus every worksheet includes a free answer key.

Just scroll through the list of topics, select any one that you want, and click on it to download the pdf file and answer key (yes, it’s that easy!).

Click here to access the free library of 4th grade math sheets.

2.) Math Sheets for 4th Grade: Puzzles, Riddles, and Brain Teasers

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Typical math sheets are great for giving students extra practice, but they can get pretty boring and repetitive after a while. If you’re looking to mix up your lesson plans every now and then, check out this collection of super fun math sheets for 4th grade that include math puzzles, riddles, and brain teasers!

Trust me, your kids will love them!

Click here to get your math puzzles, riddles, and brain teasers for 4th grade math students!


3.) Math Sheets for 4th Grade: Word Problems

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Are you looking for engaging multi-step math sheets for 4th grade problems with answers to add to your upcoming lesson plans? The following collection of free 4th grade maths word problems worksheets cover topics including addition, subtraction, multiplication, division, mixed operations, fractions, and decimals.

Students need to gain a strong understanding of place value in order to understand the relationship between digits and how these relationships apply to operations including addition, subtraction, multiplication, division, and more.

Click here to get your 4th grade math word problems

Looking for more math activities and resources other than math sheets for 4th grade?

Here are some more 4th-grade math resources that you will love!


Share your ideas, questions, and comments below!

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By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math . You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

 

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Free Decimal to Fraction Chart (Printable PDF)

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Free Decimal to Fraction Chart (Printable PDF)

Image: Mashup Math

Free Decimal to Fraction Conversion Chart

Are you looking for an easy reference chart for making decimal to fraction conversions?

Use the link below to download your free decimal to fraction chart as an easy-to-print PDF file.

Looking to learn how to convert decimals to fractions without a chart? Check out this free converting decimal to fraction in 3 easy steps lesson guide!

 

Free Decimal to Fraction Chart!

 

Click here to download your free Decimal to Fraction Conversion Chart

Learn How to Convert Decimal to Fraction

The following video lesson shares an easy 3-step method for converting a decimal to a fraction without a decimal to fraction chart!

If you like the video, please give it a thumbs up and leave a comment!

Need help with decimal to fraction conversions with rulers and measurement?

In addition to today’s free decimal to fraction chart, here is a free tutorial on how to read a ruler:

Decimal to Fraction Chart Uses

You can use the decimal and fraction chart above as a reference to quickly make conversions between decimals and fractions.

Be sure to print it out and keep it close by when you are working on problems that require you to convert decimals to fractions or vice versa.

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More Free Decimals and Fractions Resources

Read More Posts About Math Education:

Share your ideas, questions, and comments below!

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By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math . You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

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How to Add and Subtract Fractions (Step-by-Step)

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How to Add and Subtract Fractions (Step-by-Step)

How to Add and Subtract Fractions Explained!

How can you add and subtract fractions with different denominators?

Learn how to solve these kinds of problems.

Welcome to this free lesson guide that accompanies this Adding and Subtracting Denominators with Unlike Denominators video lesson, where you will learn how to add and subtract fractions:

  • Adding Fractions

  • Subtracting Fractions

  • Unlike Denominators

  • How to add and subtract fractions with the same denominator

  • How to add and subtract fractions with different denominators

This How to Add and Subtract Fractions with Unlike Denominators: Complete Guide includes several examples, a step-by-step tutorial, an animated video mini-lesson, and a free worksheet and answer key.


*This lesson guide accompanies our animated Adding and Subtracting Fractions with Unlike Denominators on YouTube.

Want more free math lesson guides and videos? Subscribe to our channel for free!


Before you learn how to add and subtract fractions you need to understand some key vocabulary first.

Adding and Subtracting Fractions with the Same Denominator

Let’s start by reviewing the difference between a numerator and a denominator:

Figure 1

How to Add and Subtract Fractions with Like Denominators

 

In the above example, 1/5 and 3/5 have common denominators (both equal 5). To add them together, you just have to add the numerators together and leave the denominator alone as follows:

Figure 2
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Since 4/5 can not be simplified any further, you can conclude that:

1/5 + 3/5 = 4/5

But what about when the denominators are not the same?

Adding and Subtracting Fractions with Unlike Denominators

How do you add and subtract fractions when the denominators are different?

You can use the following 3-step process for adding and subtracting fractions (with and without common denominators).

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Subtracting Fractions with Unlike Denominators Example

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STEP ONE: Get a common denominator.

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How to add and subtract fractions.

STEP TWO: Add or subtract the numerators.

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STEP THREE: Simplify the result if needed.

Notice that 3/27 can be simplified, since the numerator and denominator are both divisible by 3.

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And that’s all there is to it!

Final Answer:

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Adding and Subtracting Fractions with Unlike Denominators: Video Tutorial

Still confused? Check out the animated video lesson below:

Check out the video lesson below to learn more about adding and subtracting fractions and for more free practice problems:



Keep Learning with More Free Lesson Guides:

Have thoughts? Share your thoughts in the comments section below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

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Geometry Transformations: Rotations 90, 180, 270, and 360 Degrees!

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Geometry Transformations: Rotations 90, 180, 270, and 360 Degrees!

Performing Geometry Rotations: Your Complete Guide

The following step-by-step guide will show you how to perform geometry rotations of figures 90, 180, 270, and 360 degrees clockwise and counterclockwise and the definition of geometry rotations in math! (Free PDF Lesson Guide Included!)

 
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Welcome to this free lesson guide that accompanies this Geometry Rotations Explained Video Tutorial where you will learn the answers to the following key questions and information:

  • What is the geometry rotation definition and what is the definition of rotation in math?

  • How to perform clockwise and counterclockwise rotations

  • How can you rotate a triangle about the origin?

  • Several geometry rotation examples

This Complete Guide to Geometry Rotations includes several examples, a step-by-step tutorial, a PDF lesson guide, and an animated video tutorial.


*This lesson guide accompanies our animated Geometry Transformations: Rotations Explained! video.

Want more free math lesson guides and videos? Subscribe to our channel for free!


Rotation Geometry Definition

Before you learn how to perform rotations, let’s quickly review the definition of rotations in math terms.

Rotation Geometry Definition: A rotation is a change in orientation based on the following possible rotations:

  • 90 degrees clockwise rotation

  • 90 degrees counterclockwise rotation

  • 180 degree rotation

  • 270 degrees clockwise rotation

  • 270 degrees counterclockwise rotation

  • 360 degree rotation

Note that a geometry rotation does not result in a change or size and is not the same as a reflection!

Clockwise vs. Counterclockwise Rotations

There are two different directions of rotations, clockwise and counterclockwise:

Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers.

Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock. These rotations are denoted by positive numbers.

Clockwise rotations are denoted by negative numbers.

Clockwise rotations are denoted by negative numbers.

Counterclockwise rotations are denoted by positive numbers.

Counterclockwise rotations are denoted by positive numbers.

Note that the direction of rotation (CW or CCW) doesn’t matter for 180 and 360-degree rotations, since they will both bring you to the same spot (more on this later).

Geometry Rotation Notation

Note that the following notation is used to show what kind of rotation is being performed.

For example, Figure 1 is a rotation of -270 degrees (which is a CW rotation).

Figure 1

Figure 1

 

Now you are ready to try a few geometry rotation examples!



Geometry Counterclockwise Rotation Examples

Example 01: 90 Degrees Counterclockwise About the Origin

Since 90 is positive, this will be a counterclockwise rotation.

Since 90 is positive, this will be a counterclockwise rotation.

In this example, you have to rotate Point C positive 90 degrees, which is a one quarter turn counterclockwise.

Point C lays in the 1st quadrant.

To perform the 90-degree counterclockwise rotation, imagine rotating the entire quadrant one-quarter turn in a counterclockwise direction.

Point C

Point C

Rotate the entire quadrant.

Rotate the entire quadrant.

Plot point C’

Plot point C’

Note the location of Point C’, the image of Point C after a 90-degree rotation.

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And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise:

 
Point C after a 180-degree rotation.

Point C after a 180-degree rotation.

Point C after a 270-degree rotation.

Point C after a 270-degree rotation.

 
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This example should help you to visually understand the concept of counterclockwise geometry rotations. Next, you will learn the rules for performing counterclockwise rotations.

>>> Before you move on, take some time to visualize what rotations look like on the coordinate plane.

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Counterclockwise Rotation Rules

You can use the following rules when performing any counterclockwise rotation.

By applying these rules to Point C (3,6) in the last example (Figure 2), you can see how applying the rule creates points that correspond with the graph!

Left: replace x with 3. Right: replace x with -9
Figure 2

Figure 2

These points should look familiar! They are the points that you plotted in the last example!

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Geometry Clockwise Rotation Examples

Example 01: 90 Degrees Clockwise About the Origin

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Since the rotation is 90 degrees, you will be rotating the point in a clockwise direction.

Now imagine rotating the entire 4th quadrant one-quarter turn in a clockwise direction:

Point D

Point D

Rotate the entire quadrant

Rotate the entire quadrant

Plot Point D’

Plot Point D’

Note the location of Point D’, the image of Point D after a -90-degree rotation.

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And this process could be repeated if you wanted to rotation Point D -180 degrees or -270 degrees counterclockwise:

Point D after -180 rotation

Point D after -180 rotation

Point D after -270 rotation

Point D after -270 rotation

 
 

This example should help you to visually understand the concept of clockwise geometry rotations. Next, you will learn the rules for performing clockwise rotations.

>>> Before you move on, take some time to visualize what rotations look like on the coordinate plane.

<><><>



Clockwise Rotation Rules

You can use the following rules when performing any clockwise rotation.

By applying these rules to Point D (5,-8) in the last example (Figure 3), you can see how applying the rule creates points that correspond with the graph!

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Figure 3

Figure 3

These points should look familiar! They are the points that you plotted in the last example!

 

More Geometry Rotations Examples

Example 01: Rotate a Line Segment 90 Degrees Clockwise

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You can perform this rotation by using the rules or by doing a visual rotation as follows:

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Example 02: Rotate a Triangle 180 Degrees

Note that it doesn’t matter which direction go (CW or CCW) for 180 degrees rotations, since you will end up in the same position either way!

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You can perform this rotation by using the rules or by doing a visual rotation as follows:

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Free Geometry Rotations Lesson Guide

Looking for more help with geometry rotations?

Click the link below to download your free PDF lesson guide that corresponds with the video lesson below!

Click here to download the Your Free PDF Lesson Guide

Still Confused?

Check out this animated video tutorial on geometry rotations:



Looking for more practice with Geometry Transformations?

Check out the following free resources:

Free Tutorial on Reflections!

Free Tutorial on Reflections!

Have thoughts? Share your thoughts in the comments section below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

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Multiplying Polynomials: The Complete Guide

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Multiplying Polynomials: The Complete Guide

The Best Method for Multiplying Polynomials

The following step-by-step guide will show you how to multiply polynomials using the distributive method and includes 3 examples!

 
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Welcome to this free lesson guide that accompanies this Multiplying Polynomials Made Easy! video tutorial where you will learn the answers to the following key questions and information:

  • What is the best method for multiplying polynomials?

  • How to perform multiplication of polynomials

  • Multiplication of monomials, binomials, and trinomials

  • Multiplying Polynomials Using the Distributive Property

This Complete Guide to Multiplying Polynomials includes several examples, a step-by-step tutorial and an animated video tutorial.


*This lesson guide accompanies our animated Multiplying Polynomials Made Easy! video.

Want more free math lesson guides and videos? Subscribe to our channel for free!


Multiplying Polynomials Explained!

Before you learn how to multiply polynomials, let’s quickly review some important information:

The Distributive Property

Definition: The distributive property allows for you to multiply a sum by multiplying each term separately and then add all of the products together.

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If you understand the distributive property, you will be able to multiply polynomials with ease.

Multiplying Polynomials Examples

Multiplying Polynomials Example 1: Multiplying by a Monomial

Figure 1

In this first example, you will be multiplying a monomial by a trinomial. You can think of this as multiplying one “thing” by “another thing” as follows:

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This is where using the distributive property (or distributive method) will help you!

To multiply these polynomials, start by taking the first polynomial (the purple monomial) and multiplying it by each term in the second polynomial (the green trinomial).

This can be done by multiplying 4x^2 by the first term of the green trinomial (Figure 1), then by the second term of the green trinomial (Figure 2) and finally by the third term of the green trinomial (Figure 3).

Figure 1

Figure 1

Figure 2

Figure 2

Figure 3

Figure 3

The next step is to simplify each of these new terms and find their sum:

Simplify the first term.

Simplify the first term.

Simplify the second term.

Simplify the second term.

Simplify the third term.

Simplify the third term.

The final step is to check and see if you can COMBINE LIKE TERMS. In this example, there are no like terms, so you can conclude that:

Final Answer:

Figure 2

Figure 2

 

Multiplying Polynomials Example 2: Multiplying Binomials

Notice that -30x and 12 are like terms.

You can use the distributive method for multiplying polynomials just like the last example!

Start by multiplying the first term of the first binomial (3x) by the entire second binomial (Figure 1).

Then multiply the second term of the first binomial (-5y) by the entire second binomial (Figure 2).

Figure 1

Figure 1

Figure 2

Figure 2

 

The next step is to use the distributive property again to simplify each new term.

Set up two equations (positive and negative) and ditch the absolute value bars.
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Note that you do not need the plus sign between -6xy and -40xy.

Note that you do not need the plus sign between -6xy and -40xy.

 

The final step is to COMBINE LIKE TERMS and simplify:

Original Function
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Final Answer:

 
Left: replace x with 3. Right: replace x with -9
 


Multiplying Polynomials Example 3: Multiply a Binomial by a Trinomial

Figure 1

Figure 1

 

Remember that you are still just multiplying two things together! And you can do that by using the distributive method again as follows:

Figure 3
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Now you can use the distributive method again to simplify the new terms:

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The final step is to COMBINE LIKE TERMS and simplify:

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-42x^2 and -27x^2 combine to make -69x^2

-42x^2 and -27x^2 combine to make -69x^2

+14x and +54x combine to make +68x

+14x and +54x combine to make +68x

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Now that you have combined like terms, you can conclude that:

Final Answer:

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Still Confused?

Check out this animated video tutorial on multiplying polynomials:



Looking for more practice with multiplying polynomials?

Check out the following free resources:

Free Tutorial

Free Tutorial

Have thoughts? Share your thoughts in the comments section below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

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