11 Famous Women Mathematicians and Their Incredible Contributions!

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11 Famous Women Mathematicians and Their Incredible Contributions!

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Last Updated: March 9th, 2023

March is Women’s History Month, a time to honor, celebrate, and acknowledge generations of women of all backgrounds, their struggle to achieve equality in society, and their incredible contributions in fields including civil rights, athletics, art, politics, mathematics, and every other facet of life imaginable.

Women’s History Month is a special opportunity for students to learn about famous women mathematicians throughout history and their contributions to the field of study—ranging from discovering fundamental theorems to rocket science and putting astronauts into orbit.

Why is it important for students to learn about female mathematicians? Because the History of Mathematics is overly focused on the contributions of a small group of male mathematicians like Isaac Newton, Albert Einstein, and Euclid, while often ignoring the diverse contributions of women and minorities

If you are looking to promote gender equality and celebrate Women’s History Month with your kids this month and beyond, sharing the contributions of famous female mathematicians is a great way to inspire students, teach them about the history of mathematics, and remind them that math is accessible to everyone.

In February, we celebrated Black History Month by sharing 11 Famous African American Mathematicians You Should Know About. And now that the calendar has turned to March, we are sharing 11 Famous Women Mathematicians and Their Amazing Contributions in honor of Women’s History Month.

One idea for celebrating these famous women is to focus on a different individual each day, assigning individuals for a famous woman mathematician research assignment, or by sharing this article on your classroom’s bulletin board.

Note that you can certainly share this list of famous female mathematicians with your kids during any time of the school year. However, March, being Women’s History Month, is an extra special opportunity to provide your students with a deeper understanding of these women and their contributions within the context of history and the fight for gender equality.

11 Famous Female Mathematicians and Their Incredible Contributions


Famous Female Mathematicians: Hypatia

1.) Hypatia (370-415 AD)

There was a woman in Alexandria named Hypatia, daughter of the Philosopher Theon, who made such attainments in literature and science, as to far surpass all the philosophies of her own time.

-Socrates Scholasticus

Our list starts off with Hypatia, the daughter of prominent Egyptian Mathematician Theon with whom she collaborated on several famous mathematical works. Since Hypatia was the daughter of an upper-class mathematician and philosopher, she received the same education as her male peers and it wasn’t long before she proved that she was a more accomplished mathematician than many, including even her father.

Conic Sections

Conic Sections

She is considered the first known female math teacher in history and was also known for teaching astronomy and how to use an astrolabe device to model astronomical events.

In addition to becoming a respected teacher of mathematics (which was unheard of for a woman in Egypt at the time), she also made several advancements to the field of mathematics, namely her work on conic sections and developing the concepts of ellipses, parabolas, and ellipses by dividing cones into planes.


Famous Female Mathematicians: Sophie Germain

2.) Sophie Germain (1776-1831)

Algebra is but written geometry, and geometry is but figured algebra.

-Sophia Germain

Sophie Germain was born in Paris, France in 1776 and become infatuated with mathematics at a young age. As a teenager, she spent her time reading every mathematics book available in her library and taught herself Latin so she could study the works of Isaac Newton and Euler.

At the age of 18, she enrolled in the famous math academy École Polytechnique, which was no easy feat for a woman at that time. To get her professor’s attention, she submitted letters sharing her mathematical work using a fake male student’s name. After discovering that the work was actually done by Sophie, her professor was extremely impressed and became her mentor, helping her to establish herself and become respected in a male-dominated field of mathematics.

Her two greatest mathematical accomplishments include contributing to Fermat’s Last Theorem, paving the way for the problem to be solved several centuries later and pioneering what is known as elastic theory, which led her to becoming the first female to be honored by the Paris Academy of Sciences


Famous Female Mathematicians: Ada Lovelace

3.) Ada Lovelace (1815-1852)

The more I study, the more insatiable do I feel my genius for it to be.

-Ada Lovelace

Ada Lovelace was an English Mathematician who is regarded as the world’s first computer programmer!

In 1836, she wrote the world’s first computer program known as an algorithm for an Analytical Engine to compute Bernoulli numbers.

In 1852, Lovelace died due to an illness at only 37 years old. However, despite her short life, she made significant contributions to the fields of mathematics and computer science that can still be seen to this day. She is still regarded as the first person to understand the potential of a computing machine.

Without the contributions of Ada Lovelace, the modern computer and associated algorithms that we take for granted may not exist.


Famous Female Mathematicians: Sofia Kovalevskaya

4.) Sofia Kovalevskaya (1850-1891)

It is impossible to be a mathematician without being a poet in soul.

-Sofia Kovalevskaya

Sofia Kovalevskaya is yet another incredible and inspiring female mathematician who overcame the gender biases of her time to make significant contributions to the field of mathematics.

After demonstrating her ability to perform advanced mathematics at a young age, Sofia began attending classes at the University of Heidelberg only after receiving special permission since she was not a boy.

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Sofia would struggle for most of her adult life to gain the same privileges to study and teach mathematics as her male counterparts did. Despite this struggle, she would become a highly regarded math professor and was the first woman to receive a doctorate in mathematics and the first woman in Europe to become a full-time professor.

Her greatest contribution to the field of mathematics was in her studies of differential equations and elliptic integrals, namely in relation to understanding the workings of Saturn and its rings.


Famous Female Mathematicians: Emmy Noether

5.) Emmy Noether (1882-1935)

My methods are really methods of working and thinking, this is why they have crept in everywhere anonymously.

-Emmy Noether

Emmy Noether was born in Germany and is arguably the most influential women mathematician in history.

After initially being reluctant to study mathematics at a young age, she eventually joined her father and brother, who were both mathematicians as well, and enrolled in a doctoral program at the University of Erlangen in Germany.

Noether is best known for discovering Noether’s Theorem, which links mathematics and physics in an extremely important way. The theorem, which is named after her, relates the laws of nature and conservation to mathematical symmetry and how we understand the universe.

Noether’s Theorem: States that every differentiable symmetry of the action of a physical system has a corresponding conservation law. (via wikipedia.org)

At the time, her theory was truly groundbreaking and influenced in how mathematicians and scientists thought about and understood the workings of our universe.

In addition to Noether’s Theorem, she made major contributions to the fields of theoretical physics and abstract algebra.

In fact, Albert Einstein dubbed her as “the most significant mathematical genius thus far produced since the higher education of women began.”


Famous Female Mathematicians: Dorothy Vaughn

6.) Dorothy Vaughn (1910-2008)

I changed what I could, and what I couldn’t, I endured.

-Dorothy Vaughn

Dorothy Vaughn is known for being a respected high school math teacher turned “human supercomputer” for NASA.

Vaughn worked on a racially segregated team of computer programmers assigned with using supercomputers to perform computations associated with NASA space launches, including sending astronaut John Glenn into orbit in 1962.

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She is a main character in the hit film Hidden Figures and was the first African American female supervisor at NASA. She went on to play a key role in NASA’s use of supercomputers to assist in aeronautical projects and space launches.


Famous Female Mathematicians: Katherine Johnson

7.) Katherine Johnson (1918-2020)

Girls are capable of doing everything men are capable of doing. Sometimes they have more imagination than men.

-Katherine Johnson

Johnson was another main character in the critically acclaimed film Hidden Figures. She made major contributions in the fields of orbital and aeronautics mechanics, which were critical to the successful launch of Astronaut John Glenn into orbit by the United States in 1962.

 
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Katherine Johnson was awarded the Presidential Medal of Freedom in 2015.

 

Katherine Johnson spent 35 years working for NASA and developed a reputation for being a master at performing difficult and complex calculations. She went on to help pioneer the use of computer science and programming to do complex math calculations for NASA.

In 2015, President Barack Obama awarded Johnson the Presidential Medal of Freedom.

 
 

Famous Female Mathematicians: Julia Robinson

8.) Julia Robinson (1919-1985)

I like to think of mathematicians as forming a nation or our own without distinctions of geographical origin, race, creed, sex, age, or even time…all dedicated to the most beautiful of the arts and sciences.

-Julia Robinson

Robinson, an American mathematician, started off as a young math prodigy by completing grades 5 through 8 in one single year after missing two full years of school due to a serious illness.

After spending decades working on Hilbert’s tenth problem, which was widely considered unsolvable by the mathematics community, she and a small team found a solution in 1980—a groundbreaking achievement!

She also made significant contributions to the fields of game theory and computability theory.


Famous Female Mathematicians: Valerie Thomas

9.) Valerie Thomas (1943-Present)

Figuring out what you want comes from failing, and then trying again. It comes from questioning everything, falling in love, fighting the power, living without limits. It doesn't come from getting straight A’s, playing by the rules, and listening obediently.

-Valerie Thomas

Valerie Thomas is a distinguished scientist and is best known for inventing the Illusion Transmitter—a 3-Dimensional Imaging Technology that was the first of its kind when it debuted in 1980. In fact, this technology is the basis for modern 3D imaging tech that we see in modern televisions, video games, and movies!

Additionally, Valerie Thomas works as a developer and engineer for NASA from 1964 to 1995. During her career at NASA, she managed a team that facilitated the reception of the first satellite images to be received from outer space.

 
Source: www.MIT.edu
 

At the time of this writing, Johnson holds a role at the Science and Mathematics Aerospace Research and Technology and National Technical Association as a youth mentor and encourages young people of all genders and backgrounds to pursue science and mathematics.


Famous Female Mathematicians: Maryam Mirzakhani

10.) Maryam Mirzakhani (1977-2017)

The beauty of mathematics only shows itself to more patient followers.

-Maryam Mirzakhani

Maryam Mirzakhani was an Iranian mathematician and math professor at Stanford University. In high school, Mirzakhani and her best friend became the first Iranian women to qualify for the Mathematical Olympiad.

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She made significant contributions to researching math topics including theoretical mathematics, hyperbolic geometry, and ergodic theory.

Her work eventually led her to become the first Iranian woman to win the Fields Medal in 2014, which is the most prestigious mathematics award one can receive.

Sadly, Mirzakhani died of cancer complications in 2017 at the age of 40.


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Famous Female Mathematicians: Mae Carol Jemison

11.) Mae Carol Jemison (1956-Present)

Never limit yourself because of others' limited imagination; never limit others because of your own limited imagination.

-Mae Carol Jemison

Mae Carol Jemison is an incredibly talented and inspirational figure. As a decorated engineer, physician, mathematician, and NASA astronaut, she is best known for becoming the first African American woman to go to outer space, which happened when she was a member of the Endeavour Space Shuttle that launched into orbit in 1992.

Before becoming an astronaut, Jemison served in the Peace Corps as a general practice physician.

Today, she serves on the council for the Science Matters initiative, with the goal of encouraging children to pursue STEM careers at a young age.

 
 

 
 

More Math-Related Posts You Will Love:


How are you planning on celebrating Black History Month in YOUR classroom? Share your thoughts and suggestions in the comments section below!

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By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math and an advisor to Amazon Education's 'With Math I Can' Campaign. 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 St. Patrick's Day Math Activities for Grades K-8

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Free St. Patrick's Day Math Activities for Grades K-8

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Are you looking for fun, free, and printable St. Patrick’s Day Math Worksheets and Activities to share with your students at home and in your classroom this March?

Sharing engaging holiday-themed math activities will give your students an opportunity to apply their math skills and develop their critical thinking while working through interesting puzzles and worksheets that capture their enthusiasm for significant dates such as St. Patrick’s Day.

If you want to channel your students’ enthusiasm for St. Patrick’s Day into meaningful learning experiences and watch their interest, engagement, and participation skyrocket, go ahead and share the following Free St. Patrick’s Day Math Worksheets and St. Patrick’s Day Math Activities in your upcoming lesson plans.

Each worksheet can be used as a warm-up/anticipatory set or cool-down activity as well as a key component to any math lesson for grades K-8. Full answer keys for each activity are included.

Tags: St. Patrick’s Day, Math Activities, Math Puzzles, Math Worksheets, Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade, Homeschool, Homeschooling

How to Download: You can download any of the puzzles by right-clicking on the image and saving it to your computer or by dragging-and-dropping it to your desktop.


1.) Find the value of the '?' (for Grades K-2)

Use your math skills to find the value of each icon.

Shamrock=5

Hat=7

Flag=1

?=13

Do you want access to hundreds of grade-specific holiday math activities for every month of the year? Become a Mashup Math member and access all of our K-8 math activity libraries. Start your free 7-day trial.

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2.) Find the value of the '?' (for Grades 3-5)

Use your math skills to find the value of each icon.

Clover=9

Irish Flag=9

Hat=8

Accordion=9

?=17

Do you want access to hundreds of grade-specific holiday math activities for every month of the year? Become a Mashup Math member and access all of our K-8 math activity libraries. Start your free 7-day trial.

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3.) Find the value of the '?' (for Grades 6-8)

Use your math skills to find the value of each icon.

Clover=46

Irish Flag=46

Hat=27

Accordion=198

?=317

Do you want access to hundreds of grade-specific holiday math activities for every month of the year? Become a Mashup Math member and access all of our K-8 math activity libraries. Start your free 7-day trial.

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Bonus St. Patrick’s Day Math Activities

Here are 5 more bonus St. Patrick’s Day math activities for kids:

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1.) Multiplication tables work like a Bingo board, where the value of each box represents the product of its corresponding row and column.

Rainbow = 0

Green Hat = 1

Leprechaun = 2

Heart = 4

Pot of Gold = 0

Shamrock = 5

Looking for more free math challenges like this one to share with your kids? click here

 


2.) Multiplication Area Model

Area models help kids to think visually about multiplication, which is the approach that Mathematical Mindsets author Jo Boaler recommends most for improving math understanding.

Balloons = 10

Shoe = 6

Leprechaun = 60

Shamrock = 30

Looking for more free math challenges like this one to share with your kids? click here

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Are you looking for more daily math challenges and puzzles to share with your kids?

My best-selling workbook 101 Math Challenges for Engaging Your Students is now available as a PDF download. You can get yours today by clicking here.


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3.) Which One Doesn't Belong? (simple)

Which One Doesn’t Belong? (WODB) activities are meant to spark mathematical thinking and discussion and do not have a single correct answer.

Want to learn more about how to use WOBD? math activities with your kids? click here

Tip: Have your kids justify their thinking in writing!


Are you looking for more daily WODB? math graphics?

You can now share 101 daily WODB warm-up activities for grades 1-9 with your kids with our PDF workbook!


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4.) Bonus St. Patricks’s Day Puzzle

Use your knowledge of the order of operations to find the value of each symbol and the ‘?’ in the puzzle.

Top Hat = 3

Pot of Gold = 9

Teddy Bear = 5

Irish Flag = 4

? = 21

 


5.) Math Writing Prompt

Writing about math encourages creativity, exploration, and communicating one's thoughts and feelings, which leads to deep and meaningful understanding of difficult math concepts.

And Think/Notice/Wonder (TNW) writing activities are a great way to get your kids engaged in math writing every day.

Want to learn more about how to use TNW math activities with your kids? click here


Bonus! St. Patrick’s Day Math Riddle

In a far away land on the other side of the rainbow, there lives unicorns, centaurs, and leprechauns.

In total, there are 22 heads and 72 feet. If the number of unicorns is equal to the number of centaurs, how many unicorns, centaurs, and leprechauns live beyond the rainbow?

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Key: 7 unicorns , 7 centaurs , 8 leprechauns


How will you use these math puzzles with your kids? Share your thoughts and suggestions in the comments section below!

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

By Anthony Persico

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Anthony is the content crafter and head educator for YouTube's MashUp Math and an advisor to Amazon Education's 'With Math I Can' Campaign. 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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10 National Pi Day Fun Facts You Need to Know!

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10 National Pi Day Fun Facts You Need to Know!

10 National Pi Day Fun Facts

March 14th is National Pi Day—a time to celebrate the mathematical π Symbol, which represents the value 3.1415926535897932384626433832…, but is often approximated to 3.14, which is why 3/14 is the date of National Pi Day every year.

You can celebrate at home and in the classroom by learning some awesome Pi Day fun facts that everyone should know!

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Pi (π) represents the ratio of the circumference of any circle to its diameter. This groundbreaking mathematical fact is learned by all math students and is a fundamental math fact related to circles and cyclic relationships.

(Note that Pi Day should not be confused with Pi Approximation Day, which is celebrated on July 22nd since the fraction 22/7 is commonly used to approximate π since 22/7 = 3.142857143…)

There are many ways to celebrate National Pi Day, including snacking on circular-shaped foods like pizza and cookies, solving fun pi-themed math puzzles like the Which is More Pizza? brain teaser, and by learning some new fun facts about Pi and Pi Day.

For example, did you know that Albert Einstein’s birthday is on National Pi Day?

And if you want to learn more fun facts about Pi Day, check out our list of the 10 Most Interesting National Pi Day Fun Facts.

(Note that the following Pi Day Fun Facts are also featured on our 10 Pi Day Fun Facts YouTube video.

The Best National Pi Day Fun Facts


 1.) The History of Pi Day

When was the first Pi Day?

 The first National Pi Day was observed in 1988 by the American artist and physicist Larry Shaw in San Francisco by marching in circles with colleagues and snacking on different kinds of pie.

In 2009, the United States House of Representatives officially designated March 14th as National Pi Day and identified Shaw as the founder of the famous mathematical holiday.

Pi Day was first celebrated in San Francisco in 1988.

Pi Day was first celebrated in San Francisco in 1988.


2) What is π?

Pi (π) is the ratio of any circle’s circumference to its diameter.

The value of this ratio is approximately 3.14 and, yes, this relationship applies to any circle big or small.

 
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3.) Where did the Pi Symbol (π) come from?

 The π symbol that we use in math to represent pi was first used by the Swiss mathematician, physicist, and astronomer Leonard Euler in the year 1737.

Before Euler popularized using the Greek symbol π to represent the ratio of a circle’s circumference to its diameter, the value was known as Archimedes' constant.

Image via wikipedia.org

Image via wikipedia.org


Looking for more Pi Day activities?

Check out our super-popular Pi Day Fun Facts video on YouTube!


4.) How Long is Pi?

 The value 3.14 is used as an approximation for Pi since it is an irrational number that continues on and on forever, hence the “…”

π =3.1415926535897932384626433832795028841971693…

The current world record for memorizing the digits of pi is 67,890 consecutive digits set by Lu Chao in 2005.

Mathematicians estimate that it would take 133 years for a person to recite the 6.4 billion known digits of Pi without stopping!

 
 

5.) What is the earliest reference to Pi?

Even though the Greek symbol π wasn’t adopted until the 1700s, the earliest references to the constant ratio between any circle’s circumference and diameter occurred in Ancient Egypt around 1650 BCE.

Pretty cool, right?

Pi dates back to Ancient Egypt!

6.) What is the most commonly occurring number in the first 100,000 decimal places of Pi?

The most common number in the first 100,000 decimal places of pi is the number 1, which occurs over 10,000 times!

 
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Looking for more Pi Day activities?

Get your free Pi Day Fun Facts infographic!

(Perfect to share with students on March 14th!)


7.) Are there any famous Pi Day birthdays?

There are several famous people born on March 14th, Pi Day, including Albert Einstein, NBA All-Star Steph Curry, Actors Billy Crystal and Michael Caine, and Olympic Gold Medalist Simone Biles.

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(Images via www.wikipedia.org)


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8.)   Who discovered the greatest number of digits of Pi?

Mathematician and computer scientist Fabrice Bellard calculated 2.7 trillion decimal places of pi using just a typical desktop computer in 2010.

That’s a lot of digits!



9.)  How long is Pi?

As mentioned earlier, Pi is an irrational number and is thus infinite. In fact, it would take 12 billion digits of pi typed out using a normal-sized font to connect New York City and Kansas City.

And since pi goes on forever, it has enough digits to wrap around the entire world an infinite number of times!

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10.) Is Pi present in nature?

You bet!

Pi can be used to measure circular natural events ranging from water ripples that emanate from a single point to finding the spherical volume of the entire universe (which can be done using only the first 39 digits of pi!)

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11.) Bonus!  What about Pie Day?

 Even though Pi Day is a mathematical holiday, it’s hard to ignore the homophone that is PIE DAY.

 Many people celebrate Pi Day by eating pie and other circular-shaped foods.

 In fact, many pizzerias and bakeries offer special Pi Day deals and discounts on March 14th each year.

 And as for pies, Apple Pie is considered the most preferred flavor of pie amongst Americans, with Pumpkin Pie coming in second, and Pecan Pie in third.

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By Anthony Persico

More Math-Related Posts and Resources You Will Love:

 
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10 Free Kindergarten Math Worksheets (PDF Downloads)

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10 Free Kindergarten Math Worksheets (PDF Downloads)

10 Free Kindergarten Math Worksheet PDFs

A Post By: Anthony Persico

Are you looking for a handy of collection of 10 fun and engaging worksheets for kindergarten-level students? All of the following free kindergarten math worksheets come as PDF files that are easy to download, print, and share for use at home or in the classroom. Enjoy!

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How to Use These Worksheets:

This collection of free kindergarten math worksheets can be shared with children ages 4 and up. The worksheets cover introductory math topics including identifying and writing numbers from 0 to 13, counting, and grouping. The activities are sequential and are designed to gradually include larger numbers and groupings (starting with single-digits and eventually moving towards double-digits including the low teens). It is recommended that children complete the activities in order from worksheet one to worksheet ten in order to experience and grasp the progression from smaller numbers to larger ones.

These worksheets can be used by kindergarten teachers in the classroom and/or by parents with their kids at home and in homeschooling settings. Based on your child’s ability levels and past exposure to numbers and counting, you can choose to either allow them to work on the worksheets independently or to work with them while they complete the activities.

How to Download and Print:

Below you will find preview images and links to download all ten kindergarten math worksheets. There will also be a link denoted by a download symbol ⤓. Once you click on one of these links, the corresponding worksheet will download in a new window as a PDF file. Once the file is downloaded, you can save it to your personal device and or print the worksheet.

If you need a more detailed explanation of how to save and/or print any of these free pdf worksheets, please view our video tutorial by clicking this link.

*Note that you can click on any of the worksheet images to see an enlarged preview before you download.


10 Free Kindergarten Math Worksheets PDFs


1.) Practice with Single Digit Numbers

This worksheet lets children practice writing the numbers zero through seven and includes tracing lines. This foundational skill is a key prerequisite to learning how to count and eventually add values together.

⤓ Click Here to Download PDF Worksheet #1


2.) Focus on 4

This worksheet focuses on writing the number four and identifying the symbol in comparison with other single-digit numbers (up to 6). Children must be able to identify and write all of the single-digit numbers, including zero, before moving onto double-digits.

⤓ Click Here to Download PDF Worksheet #2


3.) Sixes and Sevens!

This worksheet focuses on writing the numbers six and seven and identifying whether there are six or seven objects in a given set. This worksheet provides important practice with comparing and contrasting single-digit numbers.

⤓ Click Here to Download PDF Worksheet #3


4.) Practice with 8, 9, and 10

This worksheet focuses specifically on writing, identifying, and counting the values 8, 9, and 10. It also introduces the first double-digit number, ten, as a naturally coming after 8 and 9.

⤓ Click Here to Download PDF Worksheet #4

(Remember that it’s perfectly fine for children to rely on finger counting to help them with any of these worksheets)


5.) Practice Counting Objects

This worksheet focuses on counting and identifying numbers from zero to ten. In this activity, students have to identify and circle the correct value for each object shown in the diagram.

⤓ Click Here to Download PDF Worksheet #5


Do you want Free K-12 Math Resources, Lesson Plans, and Activities in your inbox every week?


6.) Practice Counting and Writing Numbers

This worksheet gives children more practice with identifying and counting the numbers from one to ten and gives them extra practice with writing these numbers by hand.

⤓ Click Here to Download PDF Worksheet #6


7.) Practice Counting Objects

This worksheet focuses on counting and identifying numbers from one to ten. In this activity, students have to identify and circle the correct value for each object shown in the diagram.

⤓ Click Here to Download PDF Worksheet #7


8.) Practice Comparing Numbers

This worksheet focuses on identifying and comparing values between three and ten. This foundational skill is a key prerequisite to understanding composite numbers and being able to add, subtract, multiply, and divide.

⤓ Click Here to Download PDF Worksheet #8


9.) Writing Numbers 10 through 13

This worksheet focuses on the double-digit numbers from ten to thirteen and gives children a guided practice opportunity to identify and write these numbers by hand.

⤓ Click Here to Download PDF Worksheet #9


10.) Focus on 11

This worksheet focuses on identifying the number eleven when grouped with other double-digit numbers (10, 12, and 13). This activity helps children to become more comfortable working with and identifying double-digit numbers and prepares them to eventually learn the numbers 14 through 20.

⤓ Click Here to Download PDF Worksheet #10

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Do YOU Want On-Demand Access to All of Our Kindergarten Math Lesson Resources, Worksheets, and Activities?

Do you want on-demand access to ALL of our kindergarten math activities, worksheets, lesson plans, and puzzle libraries?

Mashup Math Members gain access to thousands of engaging grade-specific math puzzles, activities, and worksheets for grades K-8. Learn more and sign up for a free 7-day trial today!


Anthony is the content crafter and head educator for YouTube's MashUp Math and an advisor to Amazon Education's 'With Math I Can' Campaign. 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 Use a Protractor: Your Complete Guide

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How to Use a Protractor: Your Complete Guide

Complete Guide: How to Use a Protractor

Key Question: How can I use a protractor to measure angles?

Learn how to solve these kinds of problems.

Learn how to solve these kinds of problems.

Welcome to this free lesson guide where you will learn how to read a protractor and how to use it to measure angles.

This complete guide on how to use a protractor includes several examples, an animated video mini-lesson, and a free worksheet and answer key.

Let’s get started!

How to Use a Protractor: Quick Review

Before we learn how to use the protractor tool to measure angles, let’s do a super quick review of angle notation (understanding this important skill will make learning how to use a protractor much easier).

Angle Notation: In geometry, an angle is denoted by the ∠ symbol and includes 3 consecutive letters which represent the three points that form the angle. Note that the middle letter denotes the vertex point of the angle.

For example, notice how in the diagram below that both angles ∠ABD and ∠CBD have point B as their vertex, but have different measures?

In this example, ∠ABD=120 and ∠CBD=60. But what happens when the angle measures are not included on the diagram? How can you find the measure of the angles in these kinds of situations?

This is where the protractor tool comes in!

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Need some more help with naming angles?

If so, check out our short animated video lesson on how to name angles before moving forward with the protractor lesson.

Click here to watch the video on YouTube.


How to Use a Protractor

Now that you know understand angle notation, you are ready to learn how to use the protractor tool to find the measure of an angle.

Example: Use a protractor to find the measure of ∠MLN in the diagram below.

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First, make sure that you correctly identify the angle in question. ∠MLN is the angle formed by points M, L, and N with a vertex at point L. Notice that the ∠MLN is now colored in the diagram below. If you find having the angle colored helpful, you can use markers or highlighters whenever you are using a protractor to measure angles on paper.

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Quick Note: Before moving forward, identify the Center Marker on your protractor.

 
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The next step is to line up the center marker of the protractor with the vertex point of the angle (point L in this example) as follows:

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Make sure that the bottom ray of the angle (segment LN in this example) is aligned with the bottom of the protractor as shown in the diagram.

How to Read a Protractor

60 or 120?

60 or 120?

Now that you have your protractor in position, the last step is to use it to identify the angle measure.

Remember that we are trying to find the measure of ∠MLN. In order to do this, we must identify where the top ray of the angle (segment LM in this example) intersects with the protractor and then read the measurements.

Notice that where segment LM crosses the protractor, there are two values: 60 and 120.

Since ∠MLN is an acute angle (less than 90 degrees), you know that it can not equal 120 degrees.

Therefore, the measure of ∠MLN must be 60 degrees.

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How to Read a Protractor: More Examples

Below are a few more examples of how to read a protractor.

Example A: ∠EFT = 100

Notice that the angle in question is obtuse (>90 degrees)

Notice that the angle in question is obtuse (>90 degrees)

Example B: ∠GFT = 80

Notice that the angle in question is acute  (<90 degrees)

Notice that the angle in question is acute (<90 degrees)

Example C: ∠RQS = 35

Notice that the angle in question is acute  (&lt;90 degrees)

Notice that the angle in question is acute (<90 degrees)

Example D: ∠PQS = 151

Notice that the angle in question is obtuse  (&gt;90 degrees)

Notice that the angle in question is obtuse (>90 degrees)

Example E: Right Angles

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In Example D, notice that both angles in question ∠WYZ and ∠WYX are right angles, thus they are neither acute or obtuse and both have an angle measure of 90 degrees.

You probably didn’t need a protractor to identify that ∠WYZ and ∠WYX were right angles, but this example shows you how a protractor can always help you to find the measure of a give angle.

Pretty cool, right?


Still confused? Check out the animated video lesson below:

Video: How to Use a Protractor Explained!

Check out the video lesson below to learn more about how to measure angles using a protractor.


Protractor Practice Worksheet

Free Worksheet!

Free Worksheet!

Are you looking for some extra practice with using a protractor to measure angles? Click the links below to download your free worksheets and answer key:

CLICK HERE TO DOWNLOAD YOUR FREE WORKSHEET



Keep Learning:

Have thoughts? Share your thoughts in the comments section 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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