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15 Geometry Activities to Engage Students Across Grade Levels

Written by Maria Kampen

Did you know?

Prodigy Math covers over 1,500 skills, including Common Core geometry from grades 1 to 8.

• Teaching Activities

Young learners: Try these interactive geometry activities

Upper grade levels: build geometric understanding with a mix of mediums, other ways to inject fun into your geometry unit across grade levels, help your students get the most from your geometry unit.

If you look around your classroom, there’s a good chance you can spot geometry everywhere — in squares on the calendar, long hexagonal pencils or rectangular rugs.

Geometry is full of important foundational concepts, but not all students learn best through lectures and endless practice problems. Luckily, it’s easy to connect your geometry lesson plans to real-world applications! Geometry activities can give your students hands-on experience and engage them in the learning process. 

Try these 15 fun activities to help you teach geometry and shape your students into curious, excited learners.

Hands-on activities are a great way to get students introduced to math concepts like shapes and patterns . 

These fun activities can help them explore the properties of 2D and 3D shapes in the real world, and give them learning opportunities that provide the foundation for further study.

1. Build 3D shapes with toothpicks and playdough

Provide students with toothpicks and playdough or marshmallows, and challenge them to build 3D shapes like prisms and cubes. It’s a great way for students to understand the properties of 3D shapes in real life!

Plus, students can use this activity to bring 2D shapes to life and understand relevant concepts like vertices, angles and sides. 

2. Create 2D shapes with tangrams

Tangram puzzles — originating in China and brought to Europe during the early 19th century through trade routes — use seven flat, geometric shapes to make silhouettes. While Tangrams are usually made out of wood, you can make sets for your class out of colored construction paper or felt.

Tangrams are an excellent tool for learners who enjoy being able to manipulate their work, and can help young learners understand the properties of different shapes. Plus, there are lots of different patterns for students to complete! Give them different patterns and watch how a hexagon, trapezoid and quadrilateral turns into a bunny rabbit, a house or the sun. 

3. Make geometric patterns with pattern blocks

For elementary students, part of understanding shapes is understanding geometric patterns, too. Pattern blocks help students make patterns, practice shape rotation and sort different shapes. 

Pattern making isn’t just important for geometry — it’s a foundational concept for critical thinking and analysis, and can help students draw connections between different concepts. 

4. Solve geometry riddles with LEGO sets

Whether it’s brain teasers or riddles , math puzzles can help students think through tough problems, draw conclusions and deepen their understanding. 

LEGO is a great multi-purpose tool for your classroom that can help students develop an understanding of the properties of shapes. Give students descriptions of different 2D or 3D shapes (number of sides, vertices and length of sides) and challenge them to build the correct object! 

5. Practice forming shapes using geoboards

Geoboards are a classic geometry tool that help students make shapes with elastics stretched over pegboards.

Especially great for kinesthetic learners, use geoboards to have students make different shapes, describe their properties and measure them. They can reproduce shapes they’ve learned about, or use it to explore new ones.

Don’t have geoboards in your classroom? No problem! Have students access this digital version on a computer or tablet.

Once students reach upper elementary or middle school, they’ll start learning more about the properties of shapes and not just their appearance. 

They’ll start using geometry tools and get to explore more in-depth applications of geometry to real life. Use these activities from 3rd grade to 5th grade to get them started in a fun, collaborative way!

1. Create line segments with geoboards

It might surprise your students to learn that, in math class, a line isn’t just a line. Whether you’re studying perpendicular lines or line segments, use geoboards to display different concepts in a hands-on way. 

There are lots of words to know when it comes to geometry, so use the geoboards to reinforce new vocabulary and encourage math talk in your classroom. 

2. Draw out geometric ideas with pencil and paper

Sometimes writing out new concepts is the best way for students to remember them! All the right angles, vertices and lines of geometry are particularly well-suited to a visual medium.

Every student can practice freehanding their geometric shapes and making visually appealing notes on new concepts. They’ll also get to practice using tools like rulers, compasses and protractors for measuring angles and length. 

For extra resources, put up anchor charts in your classroom or challenge students to make their own with fun markers and construction paper. 

3. Reinforce in-school lessons with online games

Digital game-based learning combines all the fun of a video game with effective, curriculum-aligned learning outcomes. 

Prodigy Math Game makes it easy for you to direct student learning while they play online! Sign up for your free teacher account to send an assessment to students while they explore an engaging fantasy world.  Plus, Prodigy takes care of the grading for you!

Other online tools like Geogebra can also help students develop their geometry and computer skills at the same time. 

4. Practice geometric concepts with task cards

Task cards help break down more complex ideas and assignments into smaller, manageable chunks. They’re a great way to help students focus on one question at a time without being overwhelmed, whether they’re working:

• With a partner
• In small groups
• Solo during a station rotation  

Try these free printable Geometry Task Cards from Teachers Pay Teachers, or make your own for even more customization! Whatever geometry concept students are practicing, there’s a task card for it. 

5. Fortify skills with geometry worksheets

The internet is a wonderful tool — especially when it comes to finding geometry worksheets. Just head to your favorite site and print some off as a homework activity or for early finishers. 

Use geometry worksheets to have students practice concepts at a level that’s right for them or use Prodigy to send an online assignment they can work on at school or at home.

6. What shape is your land?

In this clever geometry activity, students have to create the shape with the largest surface area from a pre-cut length of string. 

Students can use a geoboard, or string and tacks, to make their shape. They’ll have to use formulas they’ve already learned for finding surface area, or they can count squares on grid paper or geoboards. 

7. Möbius strip

Is it magic? Is it geometry? Your students will be so amazed they might have a hard time figuring it out. Have them model the problem with strips of paper and see for themselves how this surface-area problem works in real life. 

Encourage students to play with their möbius strips and draw lines around them, cut them down the middle, or experiment with different twists to see what happens.  

1. Organize a geometry scavenger hunt

Have students search high and low to find different geometric shapes in your classroom. Challenge them to find:

• Eight right angles
• A square-based prism
• The highest number of circles

Or anything else you think they could search for in your classroom! 

For more learning, have students calculate the surface area of shapes, record their finds in a math journal and describe their properties independently or in small groups. 

2. Play a class-wide game of geometry Jeopardy

Jeopardy is a tried-and-true activity that gets the whole class involved. Use a free template to customize it to whatever you’re learning in class, with different categories for different geometry sub-topics. 

Have students identify shapes from pictures, or describe the properties of shapes and have students name them. 

3. For younger students, try shape BINGO

For extra matching and shape-identifying, try a classic game of classroom bingo! Print off our BINGO card template and add different shapes to each one. 

Either name shapes to help students practice identifying them, or describe the shape and ask for an answer. The first student to get a full row wins!

There’s something for every student in your geometry unit — hands-on practice, real-life applications, and opportunities for engaging classroom games .

Use these 15 activities to reinforce key concepts and keep students excited about the learning process. Soon they’ll be geometry masters!

Join Prodigy Math Game for more ways to deliver fun, curriculum-aligned geometry practice. Your free teacher account includes tools that help you align the questions students answer as they play with what you’re teaching in the classroom! Plus, get student insights and easy differentiation in just a few clicks.

Problem Solving Activities: 7 Strategies

• Critical Thinking

Problem solving can be a daunting aspect of effective mathematics teaching, but it does not have to be! In this post, I share seven strategic ways to integrate problem solving into your everyday math program.

In the middle of our problem solving lesson, my district math coordinator stopped by for a surprise walkthrough. 

I was so excited!

We were in the middle of what I thought was the most brilliant math lesson– teaching my students how to solve problem solving tasks using specific problem solving strategies. 

It was a proud moment for me!

Each week, I presented a new problem solving strategy and the students completed problems that emphasized the strategy. 

Genius right? 

After observing my class, my district coordinator pulled me aside to chat. I was excited to talk to her about my brilliant plan, but she told me I should provide the tasks and let my students come up with ways to solve the problems. Then, as students shared their work, I could revoice the student’s strategies and give them an official name. 

What a crushing blow! Just when I thought I did something special, I find out I did it all wrong. 

I took some time to consider her advice. Once I acknowledged she was right, I was able to make BIG changes to the way I taught problem solving in the classroom. 

When I Finally Saw the Light

To give my students an opportunity to engage in more authentic problem solving which would lead them to use a larger variety of problem solving strategies, I decided to vary the activities and the way I approached problem solving with my students. 

Problem Solving Activities

Here are seven ways to strategically reinforce problem solving skills in your classroom. 

Seasonal Problem Solving

Many teachers use word problems as problem solving tasks. Instead, try engaging your students with non-routine tasks that look like word problems but require more than the use of addition, subtraction, multiplication, and division to complete. Seasonal problem solving tasks and daily challenges are a perfect way to celebrate the season and have a little fun too!

Cooperative Problem Solving Tasks

Go cooperative! If you’ve got a few extra minutes, have students work on problem solving tasks in small groups. After working through the task, students create a poster to help explain their solution process and then post their poster around the classroom. Students then complete a gallery walk of the posters in the classroom and provide feedback via sticky notes or during a math talk session.

Notice and Wonder

Before beginning a problem solving task, such as a seasonal problem solving task, conduct a Notice and Wonder session. To do this, ask students what they notice about the problem. Then, ask them what they wonder about the problem. This will give students an opportunity to highlight the unique characteristics and conditions of the problem as they try to make sense of it. 

Want a better experience? Remove the stimulus, or question, and allow students to wonder about the problem. Try it! You’ll gain some great insight into how your students think about a problem.

Math Starters

Start your math block with a math starter, critical thinking activities designed to get your students thinking about math and provide opportunities to “sneak” in grade-level content and skills in a fun and engaging way. These tasks are quick, designed to take no more than five minutes, and provide a great way to turn-on your students’ brains. Read more about math starters here ! 

Create your own puzzle box! The puzzle box is a set of puzzles and math challenges I use as fast finisher tasks for my students when they finish an assignment or need an extra challenge. The box can be a file box, file crate, or even a wall chart. It includes a variety of activities so all students can find a challenge that suits their interests and ability level.

Calculators

Use calculators! For some reason, this tool is not one many students get to use frequently; however, it’s important students have a chance to practice using it in the classroom. After all, almost everyone has access to a calculator on their cell phones. There are also some standardized tests that allow students to use them, so it’s important for us to practice using calculators in the classroom. Plus, calculators can be fun learning tools all by themselves!

Three-Act Math Tasks

Use a three-act math task to engage students with a content-focused, real-world problem! These math tasks were created with math modeling in mind– students are presented with a scenario and then given clues and hints to help them solve the problem. There are several sites where you can find these awesome math tasks, including Dan Meyer’s Three-Act Math Tasks and Graham Fletcher’s 3-Acts Lessons . 

Getting the Most from Each of the Problem Solving Activities

When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student’s response tells teachers where to go next. 

Ready to jump in? Grab a free set of problem solving challenges like the ones pictured using the form below. 

Which of the problem solving activities will you try first? Respond in the comments below.

Shametria Routt Banks

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2 Responses

This is a very cool site. I hope it takes off and is well received by teachers. I work in mathematical problem solving and help prepare pre-service teachers in mathematics.

Thank you, Scott! Best wishes to you and your pre-service teachers this year!

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• Grades 6-12
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50 Fun Earth Day Crafts and Activities 🌎!

23 Geometry Games & Activities Your Students Will Love

Quadrilateral Bingo, fraction War, and more!

Geometry is one of the math units that students and teachers alike look forward to. Shapes, lines, angles, fractions, decimals, and more! There are so many fun activities that introduce concepts and give kids a chance to practice. Introduce your students to these 23 geometry games and activities and make math time the best part of your day.

1. Fit shapes together to make other shapes

Use  pattern blocks  with the free printable cards at the link to get kids playing around with simple geometry. They’ll practice recognizing basic shapes and learn they can use some shapes to make new ones.

Learn more:  Susan Jones Teaching

2. Color in a polygon quilt

Players take turns coloring in four connected triangles at a time, earning points for the shape they create. It’s a fun way to practice polygons.

Learn more:  E is for Explore

3. Play quadrilateral Bingo

Every square is a rectangle, but not all rectangles are squares. Get a handle on quirky quadrilaterals with this free printable bingo game.

Learn more:  You’ve Got This Math

4. Learn about shapes with a Geo-board

Geo-boards are an amazing tool for inspiring creative thinking in your students. Use them to let students practice making simple shapes. Or download these free Geo-board activity cards for more challenges.

Learn more: Math Geek Mama

5. Create a quadrilateral family tree

A square is a rectangle but is a rectangle a square? Sometimes it’s hard to know how to classify shapes. This fun activity lets kids explore shape families for deeper understanding.

Learn more: YouGotThisMath

6. Identify 3-D shapes in Mystery Bags

Place a 3-D shape block into each numbered bag. Kids work in groups or on their own to identify each shape only by touch (no peeking!).

7. Spin and build cookie fractions

Second grade math students begin working with basic fractions as a part of a whole. This free printable game helps them build those skills.

Learn more:  Mrs. Ricca’s Kindergarten

8. Divide Play-Doh shapes into equal shares

Second grade math students begin to work with the concept of fractions by partitioning shapes into equal shares. Play-Doh is perfect for this activity, giving kids hands-on practice in breaking shapes down into pieces.

Learn more:  Smitten With First

9. Use LEGO bricks to learn fractions

In third grade math, students start learning fractions in earnest. Playing with LEGOs makes it fun! Kids draw cards and use colored bricks to represent the fraction shown. Check out even more ways to use  LEGO bricks for math .

Learn more:  JDaniel4’s Mom

10. Match up equivalent fractions

Try a different kind of egg hunt to practice equivalent fractions. Write fractions on each half, then have kids find them and make the proper matches. (Make this harder by mixing up the colors!) Check out our other  ways to use plastic eggs in the classroom .

Learn more: 123Homeschool4Me

11. Give Spoons an equivalent fraction twist

Spoons is a classic and beloved card game where players race to match four-of-a-kind and grab a spoon in each round. In this version, they’re racing to match equivalent fractions (get some free printable cards to use at the link).

Learn more:  Games 4 Gains

12. Declare a fraction war with dominoes

Each student draws a domino and positions it as a fraction. Then they compare the two to see whose is larger. The winning student keeps both dominoes. (See more cool ways to use dominoes for fraction games at the link.)

Learn more:  Runde’s Room

13. Declare a fraction war with cards

War is one of the original math card games, but this version adds a fraction aspect. Students deal two cards, a numerator and denominator, then determine whose fraction is the largest. The winner keeps all four cards, and play continues until the cards are gone. ( Click here for more fun and free fraction games. )

Learn more: Math File Folder Games

14. Use playing cards to practice decimal place values

Students take turns drawing cards, competing to build the highest possible number to the thousandths place.

Learn more:   Games 4 Gains

15. Have a decimal snowball fight

Each student receives a stack of decimal “snowballs.” They each flip one over and compare their numbers. The student with the larger number keeps both snowballs.

Learn more:  Classroom Freebies

16. Play geometry vocabulary Go-Fish

While geometry can be light and fun, the vocabulary understanding needed to fully master geometry is huge! These vocabulary cards will help students master the lingo.

Learn more: Tarheel State Teacher

17. Play Pick a Polygon

This fun vocabulary geometry game involves drawing a card and properly identifying it. If the card is a polygon, the student gets to keep it. If not, the student must explain why not, remove that card from play and return all of their previously-drawn cards to the bag.

Learn more: Clutter-Free Classroom

18. Use pattern blocks to explore symmetry

Give students a container of pattern blocks, these free symmetry mats, and task cards , and let them explore the concept of symmetry.

Learn more: Lucky Little Learners

19. Fold shapes to discover symmetry

Break students into groups, and hand out a series of paper shapes. Challenge each group to experiment with folding their shapes to see which are symmetrical and how many lines of symmetry they have.

Learn more:   Teacher Trap

20. Play geometry Bingo

Fourth grade math students love geometry games as they learn terms like line, ray, and types of angles. This free printable bingo game is a fun way to do it!

Learn more:   You’ve Got This Math

21. Give students a practical way to use protractors

Use dry erase markers and masking tape to give students lots of angles to explore and measure! If you can’t write on your tables, try using a big piece of butcher paper instead.

Learn more:   Cursive and Crayons/Instagram

22. Battle with area and perimeter

Roll the dice to see the dimensions of your next rectangle, then mark it on the board. Try to fill your page completely before your partner does! (Have students write the area and perimeter in each block for practice along the way.)

Learn more:   Unschooling Conversations

23. Learn about area and perimeter with LEGO bricks

These free, fun cards provide kids with LEGO building challenges that teach them math concepts and higher level thinking at the same time. Learning? Fun? Both!

Learn more: IGameMom

Love these geometry games and activities? You’ll want to check out our roundup of division activities  too.

Plus, find out how other teachers tackle geometry and ask for advice on the weareteachers helpline group on facebook ..

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It Turns Out, You Can Use LEGO Bricks to Teach All Kinds of Math Concepts

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25 Fun Geometry Puzzles

By: Author Sarah Carter

Posted on Published: September 11, 2022  - Last updated: March 2, 2024

Categories Geometry Puzzles , Geometry

This blog post contains Amazon affiliate links. As an Amazon Associate, I earn a small commission from qualifying purchases.

Want to check out my favorite Amazon items for the classroom? Check out my Amazon favorites page !  

Looking for fun and engaging geometry puzzles? Here is a collection of 25 free printable geometric puzzles that I have used in the past with my high school math students. Most of these puzzles should be appropriate to use with individuals ranging in age from upper elementary school or middle school to adults.

My students’ favorite geometry puzzles have definitely been the puzzles with movable pieces which must be assembled to create various geometric shapes. The Equilateral Triangle Puzzle and the 1-4-5 Square Challenge have both been hits with students.

If you are specifically looking for geometry puzzles for adults, I recommend the printable geometric logic puzzles from Naoki Inaba such as Shikaku Puzzles , Angle Mazes , Area Mazes , Sankaku Puzzles , and Zukei Puzzles . These are available as printable PDFs for hours of puzzle solving!

If you want to have a group engage in some great geometric problem solving, I can’t recommend the Let’s Make Squares Activity enough!

Area Puzzles

Shikaku puzzles.

Shikaku Puzzles are a geometric-based logic puzzle from Japan. The goal of a shikaku puzzle is to subdivide the grid into rectangles (and squares) so that the number in each rectangle refers to the area of that rectangle.

Area Maze Puzzles from Naoki Inaba

Area Maze Puzzles from prolific Japanese puzzle creator Naoki Inaba have become quite popular in the United States. Use your knowledge of area to find the missing information in each diagram.

Quadratic Area Puzzles

Solving these quadratic area puzzles (inspired by Naoki Inaba) will require lots of factoring practice!

Sankaku Puzzles

Sankaku puzzles are a geometric based logic puzzle that focuses on finding the area of a triangle. The goal of each puzzle is to connect three dots to form a triangle with the specified area. Sankaku puzzles are the creation of Naoki Inaba, a prolific Japanese puzzle creator.

Angle Puzzles

Angle mazes.

These Angle Maze Puzzles from Naoki Inaba challenge students to find a path through a maze by being able to recognize common angle measurements. Draw a path through the maze from S to G. Each time you pass through a numbered circle, the path must form that angle in degrees.

Triangle Puzzles

Dragon puzzle for special right triangles.

I found this dragon puzzle to practice special right triangles online, and I fell in love with it.  Each of the triangles is a special right triangle.

Equilateral Triangle Puzzle

This equilateral triangle puzzle comes from Puzzle Box, Volume 1 from Dover Publications. I ended up attaching magnets to the back of each puzzle piece and hanging it on my dry erase board as my Puzzle of the Week.

Make it Pythagorean Puzzles

Looking for a challenge? Check out this page of Make It Pythagorean Puzzles. Insert the same digit (in any manner of your choosing) to each side of the triangle to form a right triangle.

Triangular Turkey Puzzle

This triangular turkey puzzle is such a great conversation starter. How many different triangles can you find in this picture of a Thanksgiving turkey?

This fun Thanksgiving math puzzle is courtesy of the late, great Martin Gardner.

Tricky Triangles Puzzle

This tricky triangles puzzle has been around for over a century. Can you arrange these eight sticks to form exactly four triangles and two squares? The original puzzle was meant to be solved with matchsticks, but I didn’t think it would be that smart to give matchsticks to my students…

Three of Five Triangle Puzzle

Three of these five figures fit together to create a triangle. Which ones are they?

Parts of a Whole – An Equilateral Triangle Puzzle

The Parts of a Whole Puzzle gives students five shapes that must be arranged to form a triangle whose three sides are of equal length. In other words, form an equilateral triangle.

One Big Square Task

I used this One Big Square Task with my trigonometry students to review 45-45-90 special right triangles. I found this task in the Open Curriculum Task Database.  I loved listening to the conversations my students had as they struggled through this problem.  And, I mean “struggle” in the best possible way!

Square Puzzles

Let’s make squares activity.

Let’s Make Squares is a great team-building activity that was featured in Kagan’s Cooperative Learning Handbook. Students must work together to assemble their popsicle sticks to create various numbers of squares.

1-4-5 Square Challenge

The 1-4-5 Square Challenge is actually three challenges in one. Can you make a square using exactly 1 piece? What about exactly 4 pieces? Now, for the real challenge: can you make a square using exactly 5 pieces?

Square the Shapes Puzzle

I love this Square the Shapes Puzzle because it’s got some hidden mathematics involved in solving it that may not be obvious at first glance.

Squaring Off Puzzle

Arrange the four provided rectangles to create a perfect square. The pieces may be rotated, but they may not be overlapped.

Square in Square Puzzle

The Square in Square Puzzle is a creation of the brilliant Peter Grabarchuk. You are given sixteen rectangles. Among these rectangles, only two can be placed next to one another to form a perfect square.

8 Sticks Puzzle

Can you arrange the eight sticks to form exactly three squares, all of the same size?

Quadrilateral Puzzles

Zukei puzzles.

Zukei puzzles are the brilliant creation of Naoki Inaba.  Inaba has posted these puzzles for free on his website, but it can be a bit hard to navigate since everything is written in Japanese. Can you connect the dots on each grid to form the specified geometric shape?

Count the Quadrilaterals Puzzles

I think these count the quadrilaterals puzzles from 100 Geometric Games by Pierre Berloquin could spark some great classroom conversation.

Shape Grid Puzzle

The goal of the shape grid puzzle is to divide the grid into geometric shapes. Any lines you draw must follow either the grid lines or the diagonals of the grid squares. Each shape that you draw must contain exactly one shape icon inside.

3D Geometry Puzzles

Build it activity.

Build It is a cooperative, team building activity that encourages students to work together, communicate, and think logically as they construct a geometric object to satisfy a set of given clues. If you’re looking to work on vocabulary, this activity introduces/reinforces words such as “face” and “edge.”

Miscellaneous Shape Puzzles

Pair ups puzzle.

In this Pair Ups Puzzle, you are tasked with pairing up the six shapes to form three pieces of equal size and shape.

Fitting Shapes Puzzle

In this Fitting Shapes Puzzle from Ivan Moscovich: puzzles are challenged with the following question: Can you fit the six shapes into the board without overlap? It sounds easier than it is!

Congruent Shapes Puzzle

In this Congruent Shapes Puzzle, students are given two colors of puzzle pieces. The task is to arrange the two colors of pieces to form two congruent shapes. You can rotate pieces and flip them over but not overlap them. This Congruent Shapes Puzzle is the creation of the brilliant Erich Friedman.

More Geometry Teaching Resources

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23 Geometry Games & Activities Your Students Will Love

• Math Education

Introduction:

Geometry is a fundamental branch of mathematics that deals with shapes, sizes, positions, and properties of things. Engaging students in geometry games and activities is an excellent way to help them develop essential skills in this subject. Here are 23 exciting geometry games and activities that your students will absolutely love!

1. Shape Hunt: Have students search their surroundings to find and classify different shapes.

2. Tangram Puzzles: Give students Tangram pieces to create various shapes and designs.

3. Geoboards: Use geoboards and rubber bands to explore geometric concepts like area, perimeter, and transformations.

4. Polygon Art: Encourage students to create colorful artworks using various polygons.

5. Geometry Bingo: Play a game of geometry bingo where each student gets a card with different shapes, angles, or terms.

6. Symmetry Drawing: Challenge students to draw one-half of an image, then have a partner complete the other half symmetrically.

7. Geometric Dominos: Create customized dominos with geometric figures or concepts for a fun matching game.

8. Circle Graphing: Have students use compasses or circular objects to create circle graphs representing specific angles.

9. Origami Shapes: Teach students how to fold paper into various geometric shapes using origami techniques.

10. Angle Sort: Provide a set of angle cards for students to sort based on their measurements or types (acute, obtuse, right).

11. 3D Shape Building: Give students materials like straws and playdough to construct three-dimensional shapes.

12. Area and Perimeter Challenge: Design real-life scenarios requiring the calculation of area and perimeter for problem-solving activities.

13. Trashketball Geometry: Set up a classroom basketball-style game where students answer geometry questions to score points.

14. Online Geometry Games: Introduce technology-based games such as GeoGebra or Shape Shoot for interactive learning.

15. Rotation Stations: Set up stations for students to practice rotating, reflecting, and translating shapes on graph paper.

16. Pythagorean Theorem Races: Organize relay races for solving problems using the Pythagorean theorem.

17. Interactive Geometry Notebooks: Encourage students to create personalized, hands-on notebooks while exploring geometric concepts.

18. Geometric Scavenger Hunt: Create a list of items found in nature or around the school that demonstrate geometrical concepts, and have students search for them.

19. Geometry Escape Room: Develop an escape room experience with various geometry-related puzzles and challenges.

20. Human Geometry: Arrange groups of students into human shapes – square, triangle, circle – and evaluate their understanding of specific properties related to each shape.

21. Geometry Charades: Have students act out and guess geometric terms or shapes during a game of charades.

22. Marshmallow Geodesic Domes: Provide toothpicks and marshmallows for students to create small-scale geodesic domes while studying their properties and structures.

23. Optical Illusion Artwork: Inspire creativity by having students research optical illusions involving geometry and create their own illusionary masterpieces.

Conclusion:

By integrating these fun geometry games and activities into your lesson plans, you can create an enjoyable learning environment that will help your students grasp essential geometric concepts in no time!

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Geometry Worksheets

Welcome to the geometry worksheets page at Math-Drills.com where we believe that there is nothing wrong with being square! This page includes Geometry Worksheets on angles, coordinate geometry, triangles, quadrilaterals, transformations and three-dimensional geometry worksheets.

Get out those rulers, protractors and compasses because we've got some great worksheets for geometry! The quadrilaterals are meant to be cut out, measured, folded, compared, and even written upon. They can be quite useful in teaching all sorts of concepts related to quadrilaterals. Just below them, you'll find worksheets meant for angle geometry. Also see the measurement page for more angle worksheets. The bulk of this page is devoted to transformations. Transformational geometry is one of those topics that can be really interesting for students and we've got enough worksheets for that geometry topic to keep your students busy for hours.

Don't miss the challenging, but interesting world of connecting cubes at the bottom of this page. You might encounter a few future artists when you use these worksheets with students.

Most Popular Geometry Worksheets this Week

Lines and Angles

In this section, there are worksheets for two of the basic concepts of geometry: lines and angles.

Lines (or straight lines to be precise) in geometry are continuous and extend in both directions to infinity. They have no width, depth or curvature. In math activities, they are often represented by a drawn straight path with some width. To show that they are lines, arrows are drawn on each end to show they extend to infinity. A line segment is a finite section of a line. Line segments are often represented with points at each end of a drawn straight path. Rays start at a point and extend in a straight line to infinity. This is shown with a point at one end of a drawn straight path and an arrow at the other end.

• Identifying Lines, Line Segments and Rays Identify Lines, Segments and Rays

Angles can be classified into six different types. Acute angles are greater than 0 degrees but less than 90 degrees. Right angles are exactly 90 degrees. Obtuse angles are greater than 90 degrees but less than 180 degrees. Straight angles are exactly 180 degrees. Reflex angles are greater than 180 degrees but less than 360 degrees. Complete/Full angles are exactly 360 degrees.

• Identifying Angle Types Worksheets Identifying Acute and Obtuse Angles Identifying Acute and Obtuse Angles (No Angle Marks) Identifying Acute, Obtuse and Right Angles Identifying Acute, Obtuse and Right Angles (No Angle Marks) Identifying Acute, Obtuse, Right and Straight Angles Identifying Acute, Obtuse, Right and Straight Angles (No Angle Marks) Identifying Acute, Obtuse, Right, Straight and Reflex Angles Identifying Acute, Obtuse, Right, Straight, Reflex and Complete/Full Angles

There are several angle relationships of which students should be aware. Complementary angles are two angles that together form a 90 degree angle; supplementary angles are two angles that together form a 180 degree angle; and explementary angles are two angles that together form a 360 degree angle. Vertical angles are found at line intersections; angles opposite each other are equal. Students can practice determining and/or calculating the unknown angle(s) in the following angle relationships worksheets.

• Angle Relationships Worksheets Complementary Angles Complementary Angles (Diagrams Rotated) Supplementary Angles Supplementary Angles (Diagrams Rotated) Mixed Complementary and Supplementary Angles Questions (Diagrams Rotated) Explementary Angles Explementary Angles (Diagrams Rotated) Mixed Adjacent Angles Questions (Diagrams Rotated) Vertical/Opposite Angles Vertical/Opposite Angles (Diagrams Rotated) Mixed Angle Relationships Questions(Diagrams Rotated)
• Angles of Transversals Intersecting Parallel Lines Interior Alternate Angles Exterior Alternate Angles Alternate Angles Corresponding Angles Co-Interior Angles Transversals

Measuring angles worksheets, can be found on the Measurement Page

Triangles, Quadrilaterals and Other Shapes

The quadrilaterals set can be used for a number of activities that involve classifying and recognizing quadrilaterals or for finding the properties of quadrilaterals (e.g. that the interior angles add up to 360 degrees). The tangram printables are useful in tangram activities. There are several options available for the tangram printables depending on your printer, and each option includes a large version and smaller versions. If you know someone with a suitable saw, you can use the tangram printable as a template on material such as quarter inch plywood; then simply sand and paint the pieces.

• Shape Sets Quadrilaterals Set Tangrams
• Identifying Regular Polygons Identifying Regular Shapes from Triangles to Octagons

Worksheets for classifying triangles by side and angle properties and for working with Pythagorean theorem.

If you are interested in students measuring angles and sides for themselves, it is best to use the versions with no marks. The marked versions will indicate the right and obtuse angles and the equal sides.

• Classifying Triangles Worksheets Classifying Triangles by Side Properties Classifying Triangles by Angle Properties Classifying Triangles by Side and Angle Properties Classifying Triangles by Side Properties (No Marks) Classifying Triangles by Angle Properties (No Marks) Classifying Triangles by Side and Angle Properties (No Marks)

A cathetus (plural catheti) refers to a side of a right-angle triangle other than the hypotenuse.

• Calculating Triangle Dimensions Using Pythagorean Theorem Calculate the Hypotenuse Using Pythagorean Theorem (No Rotation) Calculate the Hypotenuse Using Pythagorean Theorem Calculate a Cathetus Using Pythagorean Theorem (No Rotation) Calculate a Cathetus Using Pythagorean Theorem Calculate any Side Using Pythagorean Theorem (No Rotation) Calculate any Side Using Pythagorean Theorem

Trigonometric ratios are useful in determining the dimensions of right-angled triangles. The three basic ratios are summarized by the acronym SOHCAHTOA. The SOH part refers to the ratio: sin(α) = O/H where α is an angle measurement; O refers the length of the side (O)pposite the angle measurement and H refers to the length of the (H)ypotenuse of the right-angled triangle. The CAH part refers to the ratio: cos(α) = A/H where A refers to the length of the (A)djacent side to the angle. The TOA refers to the ratio: tan(α) = O/A.

• Calculating Angles and Sides Using Trigonometric Ratios Calculating Angles Using the Sine Ratio Calculating Sides Using the Sine Ratio Calculating Angles and Sides Using the Sine Ratio Calculating Angles Using the Cosine Ratio Calculating Sides Using the Cosine Ratio Calculating Angles and Sides Using the Cosine Ratio Calculating Angles Using the Tangent Ratio Calculating Sides Using the Tangent Ratio Calculating Angles and Sides Using the Tangent Ratio Calculating Angles Using Trigonometric Ratios Calculating Sides Using Trigonometric Ratios Calculating Angles and Sides Using Trigonometric Ratios

Quadrilaterals are interesting shapes to classify. Their classification relies on a few attributes and most quadrilaterals can be classified as more than one shape. A square, for example, is also a parallelogram, rhombus, rectangle and kite. A quick summary of all quadrilaterals is as follows: quadrilaterals have four sides. A square has 90 degree corners and equal length sides. A rectangle has 90 degree corners, but the side lengths don't have to be equal. A rhombus has equal length sides, but the angles don't have to be 90 degrees. A parallelogram has both pairs of opposite sides equal and parallel and both pairs of opposite angles are equal. A trapezoid only needs to have one pair of opposite sides parallel. A kite has two pairs of equal length sides where each pair is joined/adjacent rather than opposite to one other. A bowtie is sometimes included which is a complex quadrilateral with two sides that crossover one another, but they are readily recognizable. Any other four-sided polygon can safely be called a quadrilateral if it doesn't meet any of the criteria for a more specific classification.

• Classifying Quadrilaterals Classifying Simple Quadrilaterals Classifying All Quadrilaterals Classifying All Quadrilaterals (+ Rotation)

Coordinate Plane Worksheets

Coordinate point geometry worksheets to help students learn about the Cartesian plane.

• Plotting Random Coordinate Points Plotting Coordinate Points in All Quadrants Plotting Coordinate Points in Positive x Quadrants Plotting Coordinate Points in Positive y Quadrants

There are many other Cartesian Art plots scattered around the Math-Drills website as many of them are associated with a holiday. To find them quickly, use the search box.

• Cartesian Art Cartesian Art Maple Leaf
• Coordinate Plane Distance and Area Calculating Pythagorean Distances of Coordinate Points Calculating Perimeter and Area of Triangles on Coordinate Planes Calculating Perimeter and Area of Quadrilaterals on Coordinate Planes Calculating Perimeter and Area of Triangles and Quadrilaterals on Coordinate Planes

Transformations Worksheets

Transformations worksheets for translations, reflections, rotations and dilations practice.

Here are two quick and easy ways to check students' answers on the transformational geometry worksheets below. First, you can line up the student's page and the answer page and hold it up to the light. Moving/sliding the pages slightly will show you if the student's answers are correct. Keep the student's page on top and mark it or give feedback as necessary. The second way is to photocopy the answer page onto an overhead transparency. Overlay the transparency on the student's page and flip it up as necessary to mark or give feedback.

Also known as sliding, translations are a way to mathematically describe how something moves on a Cartesian plane. In translations, every vertex and line segment moves the same, so the resulting shape is congruent to the original.

• Translations Worksheets Translation of 3 vertices by up to 3 units. Translation of 3 vertices by up to 6 units. Translation of 3 vertices by up to 25 units. Translation of 4 vertices by up to 6 units. Translation of 5 vertices by up to 6 units.
• Translations Worksheets (Multi-Step) Two-Step Translation of 3 vertices by up to 6 units. Two-Step Translation of 4 vertices by up to 6 units. Three-Step Translation of 3 vertices by up to 6 units. Three-Step Translation of 4 vertices by up to 6 units.

Reflect on this: reflecting shapes over horizontal or vertical lines is actually quite straight-forward, especially if there is a grid involved. Start at one of the original points/vertices and measure the distance to the reflecting line. Note that you should measure perpendicularly or 90 degrees toward the line which is why it is easier with vertical or horizontal reflecting lines than with diagonal lines. Measure out 90 degrees on the other side of the reflecting line, the same distance of course, and make a point to represent the reflected vertex. Once you've done this for all of the vertices, you simply draw in the line segments and your reflected shape will be finished.

Reflecting can also be as simple as paper-folding. Fold the paper on the reflecting line and hold the paper up to the light. On a window is best because you will also have a surface on which to write. Only mark the vertices, don't try to draw the entire shape. Unfold the paper and use a pencil and ruler to draw the line segments between the vertices.

• Reflections Worksheets Reflection of 3 Vertices Over x = 0 and y = 0 Reflection of 4 Vertices Over x = 0 and y = 0 Reflection of 5 Vertices Over x = 0 and y = 0 Reflection of 3 Vertices Over Various Lines Reflection of 4 Vertices Over Various Lines Reflection of 5 Vertices Over Various Lines
• Reflections Worksheets (Multi-Step) Two-Step Reflection of 3 Vertices Over Various Lines Two-Step Reflection of 4 Vertices Over Various Lines Three-Step Reflection of 3 Vertices Over Various Lines Three-Step Reflection of 4 Vertices Over Various Lines

Here's an idea on how to complete rotations without measuring. It works best on a grid and with 90 or 180 degree rotations. You will need a blank overhead projector sheet or other suitable clear plastic sheet and a pen that will work on the page. Non-permanent pens are best because the plastic sheet can be washed and reused. Place the sheet over top of the coordinate axes with the figure to be rotated. With the pen, make a small cross to show the x and y axes being as precise as possible. Also mark the vertices of the shape to be rotated. Using the plastic sheet, perform the rotation, lining up the cross again with the axes. Choose one vertex and mark it on the paper by holding the plastic sheet in place, but flipping it up enough to get a mark on the paper. Do this for the other vertices, then remove the plastic sheet and join the vertices with line segments using a ruler.

• Rotations Worksheets Rotation of 3 Vertices around the Origin Starting in Quadrant I Rotation of 4 Vertices around the Origin Starting in Quadrant I Rotation of 5 Vertices around the Origin Starting in Quadrant I Rotation of 3 Vertices around the Origin Rotation of 4 Vertices around the Origin Rotation of 5 Vertices around the Origin Rotation of 3 Vertices around Any Point Rotation of 4 Vertices around Any Point Rotation of 5 Vertices around Any Point
• Rotations Worksheets (Multi-Step) Two-Step Rotations of 3 Vertices around Any Point Two-Step Rotations of 4 Vertices around Any Point Two-Step Rotations of 5 Vertices around Any Point Three-Step Rotations of 3 Vertices around Any Point Three-Step Rotations of 4 Vertices around Any Point Three-Step Rotations of 5 Vertices around Any Point
• Dilations Worksheets Dilations Using Center (0, 0) Dilations Using Various Centers
• Determining Scale Factors Worksheets Determine Scale Factors of Rectangles (Whole Numbers) Determine Scale Factors of Rectangles (0.5 Intervals) Determine Scale Factors of Rectangles (0.1 Intervals) Determine Scale Factors of Triangles (Whole Numbers) Determine Scale Factors of Triangles (0.5 Intervals) Determine Scale Factors of Triangles (0.1 Intervals) Determine Scale Factors of Rectangles and Triangles (Whole Numbers) Determine Scale Factors of Rectangles and Triangles (0.5 Intervals) Determine Scale Factors of Rectangles Triangles (0.1 Intervals)
• Mixed Transformations Worksheets (Multi-Step) Two-Step Transformations Three-Step Transformations

Constructions Worksheets

Constructions worksheets for constructing bisectors, perpendicular lines and triangle centers.

It is amazing what one can accomplish with a compass, a straight-edge and a pencil. In this section, students will do math like Euclid did over 2000 years ago. Not only will this be a lesson in history, but students will gain valuable skills that they can use in later math studies.

• Constructing Midpoints And Bisectors On Line Segments And Angles Midpoints on Horizontal Line Segments Perpendicular Bisectors on Horizontal Line Segments Perpendicular Bisectors on Rotated Line Segments Angle Bisectors (Angles not Rotated) Angle Bisectors (Angles Randomly Rotated)
• Constructing Perpendicular Lines Construct Perpendicular Lines Through Points on a Line Segment Construct Perpendicular Lines Through Points Not on Line Segment Construct Perpendicular Lines Through Points on Line Segment (Segments are randomly rotated) Construct Perpendicular Lines Through Points Not on Line Segment (Segments are randomly rotated)
• Constructing Triangle Centers Centroids for Acute Triangles Centroids for Mixed Acute and Obtuse Triangles Orthocenters for Acute Triangles Orthocenters for Mixed Acute and Obtuse Triangles Incenters for Acute Triangles Incenters for Mixed Acute and Obtuse Triangles Circumcenters for Acute Triangles Circumcenters for Mixed Acute and Obtuse Triangles All Centers for Acute Triangles All Centers for Mixed Acute and Obtuse Triangles

Three-Dimensional Geometry

Three-dimensional geometry worksheets that are based on connecting cubes and worksheets for classifying three-dimensional figures.

Connecting cubes can be a powerful tool for developing spatial sense in students. The first two worksheets below are difficult to do even for adults, but with a little practice, students will be creating structures much more complex than the ones below. Use isometric grid paper and square graph paper or dot paper to help students create three-dimensional sketches of connecting cubes and side views of structures.

• Connecting Cube Structures Side Views of Connecting Cube Structures Build Connecting Cube Structures
• Classifying Three-Dimensional Figures Classify Prisms Classify Pyramids Classify Prisms and Pyramids

This section includes a number of nets that students can use to build the associated 3D solids. All of the Platonic solids and many of the Archimedean solids are included. A pair of scissors, a little tape and some dexterity are all that are needed. For something a little more substantial, copy or print the nets onto cardstock first. You may also want to check your print settings to make sure you print in "actual size" rather than fitting to the page, so there is no distortion.

• Nets of Three-Dimensional Figures Nets of Platonic and Archimedean Solids Nets of All Platonic Solids Nets of Some Archimedean Solids Net of a Tetrahedron Net of a Cube Net of an Octahedron Net of a Dodecahedron (Version 1) Net of a Dodecahedron (Version 2) Net of an Icosahedron Net of a Truncated Tetrahedron Net of a Cuboctahedron Net of a Truncated Cube Net of a Truncated Octahedron Net of a Rhombicuboctahedron Net of a Truncated Cuboctahedron Net of a Snub Cube Net of an Icosidodecahedron

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Geometry Worksheets

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Learning Geometry

Free Printable Math Worksheets for Geometry

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• Review of equations
• Simplifying square roots
• Adding and subtracting square roots
• Multiplying square roots
• Dividing square roots
• Line segments and their measures inches
• Line segments and their measures cm
• Segment Addition Postulate
• Angles and their measures
• Classifying angles
• Naming angles
• The Angle Addition Postulate
• Angle pair relationships
• Understanding geometric diagrams and notation
• Parallel lines and transversals
• Proving lines parallel
• Points in the coordinate plane
• The Midpoint Formula
• The Distance Formula
• Parallel lines in the coordinate plane
• Classifying triangles
• Triangle angle sum
• The Exterior Angle Theorem
• Triangles and congruence
• SSS and SAS congruence
• ASA and AAS congruence
• SSS, SAS, ASA, and AAS congruences combined
• Right triangle congruence
• Isosceles and equilateral triangles
• Midsegment of a triangle
• Angle bisectors
• The Triangle Inequality Theorem
• Inequalities in one triangle
• Classifying quadrilaterals
• Angles in quadrilaterals
• Properties of parallelograms
• Properties of trapezoids
• Properties of rhombuses
• Properties of kites
• Areas of triangles and quadrilaterals
• Introduction to polygons
• Polygons and angles
• Areas of regular polygons
• Solving proportions
• Similar polygons
• Using similar polygons
• Similar triangles
• Similar right triangles
• Proportional parts in triangles and parallel lines
• The Pythagorean Theorem and its Converse
• Multi-step Pythagorean Theorem problems
• Special right triangles
• Multi-step special right triangle problems
• Trig. ratios
• Inverse trig. ratios
• Solving right triangles
• Multi-step trig. problems
• Rhombuses and kites with right triangles
• Trigonometry and area
• Identifying solid figures
• Volume of prisms and cylinders
• Surface area of prisms and cylinders
• Volume of pyramids and cones
• Surface area of pyramids and cones
• More on nets of solids
• Similar solids
• Arcs and central angles
• Arcs and chords
• Circumference and area
• Inscribed angles
• Tangents to circles
• Secant angles
• Secant-tangent and tangent-tangent angles
• Segment measures
• Equations of circles
• Translations
• Reflections
• All transformations combined
• Sample spaces and The Counting Principle
• Independent and dependent events
• Mutualy exclusive events
• Permutations
• Combinations
• Permutations vs combinations
• Probability using permutations and combinations
• Line segments
• Perpendicular segments
• Medians of triangles
• Altitudes of triangles

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3 Problem-Solving Math Activities

Scottie Altland · September 5, 2018 · 1 Comment

A problem is simply a “problem” because there is no immediate, known solution. Problem solving activities in mathematics extend well beyond traditional word problems .

You can provide your student with activities that promote application of math skills while “busting boredom” at the same time! Puzzles and riddles, patterns, and logic problems can all be valuable exercises for students at all levels of mathematics. By engaging in short, fun activities like these, you can help your student become a more skillful, resilient, and successful problem-solver.

When practicing problem-solving skills, be certain to give your student time to explore a problem on her own to see how they might get started. Then discuss their approach together. It is important to provide support during the problem-solving process by showing that you value their ideas and helping them to see that mistakes can be useful. You can do this by asking open-ended questions to help your student gain a starting point, focus on a particular strategy, or help see a pattern or relationship. Questions such as, “What have you done before like this?”, “What can be made from …?” or “What might happen if you change…?” may serve as prompts when they needs inspiration.

Try the activities below to boost your student’s problem-solving skills.

Download the activities here .

1) Toothpick Puzzles

Toothpick puzzles (also referred to as matchstick puzzles) provide students a visualization challenge by applying their knowledge of basic geometric shapes and orientations. The only supplies you need are a box of toothpicks, a workspace, and a puzzle to solve. The goal is for students to transform given geometric figures into others by adding, moving, or removing toothpicks. These puzzles range in complexity and can be found online or in math puzzle books. As an extension, challenge your student to create their own puzzle for someone else to solve.

Sample toothpick puzzles of varying difficulty:

Download solutions to this activity here.

2) Fencing Numbers

The goal of this activity is to create a border or “fence” around each numeral by connecting dots horizontally and vertically so that each digit is bordered by the correct number of line segments.

Print a sheet of dot paper .

Use pencils and scissors to cut the size grid you want to use.

This game can be modified for abilities by adjusting the size of the grid and amount of numerals written. For example, a beginning student might begin with a grid that is 5 x 5 dots with a total of four numerals, while a more advanced student might increase the grid to 7 x 7 dots with six to eight numerals.

Begin by writing the digits 0, 1, 2, and 3 spread repeatedly in between “squares” on the dot paper. Each digit represents the number of line segments that will surround that square. For instance, a square that contains a 3 would have line segments on three sides, and a square that contains a 2 would have line segments on two sides, and so on. See the example boards and solutions for a 5 x 5 grid below.

Beware; there may be multiple solutions for the same problem! Thus, encourage your student to replicate the same problem grid multiple times and look for different solutions. A more advanced student can be challenged to create their own problem. Can they make a grid with only one solution? Is it possible to make a problem with four or more possible solutions?

3) It’s Knot a Problem!

Exercise lateral thinking skills– solving a problem through an indirect and creative approach that is not immediately obvious. You need two people, two pieces of string (or yarn) about one meter long each (or long enough so the person who will wear it can easily step over it), and some empty space to move around. If possible, use two different colored pieces of string. Each person needs a piece of string with a loop tied in both ends so it can be worn like “handcuffs”. Before tying off the loop on the second wrist, the participants loop the string around each other so they are hooked together. The figure below illustrates how the strings should appear when completed.

The goal is to unhook the strings while following these guidelines:

1) The string must remain tied and may not be removed from either participant’s wrists. 2) The string cannot be broken, cut, or damaged in any way.

Caution! This activity not only tests problem-solving skills, but it also promotes positive communication, teamwork, and persistence.

Problem-solving skills are not always taught directly but often learned indirectly through experience and practice. When incorporating problem solving activities aim to make them open-ended and playful to keep your student engaged. Incorporating fun activities like these from time to time foster creative and flexible thinking and can help your student transfer problem solving skills to other subject areas. By providing guidance and helping your student to see a problem from different perspectives, you will help foster a positive disposition towards problem-solving. As your student continues to learn how to effectively solve problems, they increase their understanding of the world around them and develop the tools they need to make decisions about the way they approach a problem.

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February 25, 2020 at 11:13 am

The ideas are very brilliant it encourages critical thinking and also help student think for a solution. Awesome!😍

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Geometry Math Problems - Perimeters

In these lessons, we will learn to solve geometry math problems that involve perimeter.

Related Pages Geometry math problems involving area Area Formula Geometry math problems involving angles More Algebra Word Problems

Geometry word problems involves geometric figures and angles described in words. You would need to be familiar with the formulas in geometry.

Making a sketch of the geometric figure is often helpful.

Geometry Word Problems Involving Perimeter

Example: A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side?

Solution: Step 1: Assign variables:

Let x = length of the equal sides Sketch the figure

Step 2: Write out the formula for perimeter of triangle .

P = sum of the three sides

Step 3: Plug in the values from the question and from the sketch.

50 = x + x + x+ 5

Combine like terms 50 = 3x + 5

Isolate variable x 3x = 50 – 5 3x = 45 x = 15

Be careful! The question requires the length of the third side.

The length of third side = 15 + 5 = 20

Answer: The length of third side is 20.

Geometry Math Problem involving the perimeter of a rectangle

The following two videos give the perimeter of a rectangle, a relationship between the length and width of the rectangle, and use that information to find the exact value of the length and width.

Example: A rectangular garden is 2.5 times as long as it is wide. It has a perimeter of 168 ft. How long and wide is the garden?

Example: A rectangular landing strip for an airplane has perimeter 8000 ft. If the length is 10 ft longer than 35 times the width, what is the length and width?

Examples of perimeter geometry word problems This video shows how to write an equation and find the dimensions of a rectangle knowing the perimeter and some information about the about the length and width.

Example: The width of a rectangle is 3 ft less than its length. The perimeter of the rectangle is 110 ft. Find the dimensions.

Perimeter Word Problems

Example: The length of a rectangle is 7 cm more than 4 times its width. Its perimeter is 124 cm. Find its dimensions.

Geometry Math Problem involving the perimeter of a triangle

The following two videos give the perimeter of a triangle, a relationship between the sides of the triangle, and use that information to find the exact value or values of the required side or sides.

Example: Patrick’s bike ride follows a triangular path; two legs are equal, the third is 8 miles longer than the other legs. If Patrick rides 30 miles total, what is the length of the longest leg?

Example: The perimeter of a triangle is 56 cm. The first side is 6 cm shorter than the second side. The third side is 2 cm shorter than twice the length of the first side. What is the length of each side?

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10 Fun Math Problem Solving Activities

I love using fun games and activities to get my kids excited about math. That’s why I was so excited to discover Beast Academy Playground! The site includes a wide variety of math problem solving activities, games, puzzles, and ideas that can be used with your current homeschool curriculum. If you’re looking for some fun ways to get your child interested in math again or some new ideas for teaching math at home, this is a great place to start.

I received compensation in exchange for my honest review, but all the opinions in this post are my own.

What is Beast Academy Playground?

As a homeschool parent, I know that fun math problem solving activities are hard to come by. Practicing math can be frustrating and boring for kids. And, it’s not enough to just teach math facts – children need to learn how to solve complex problems too!

Beast Academy Playground is the perfect solution. This site was created by Beast Academy, a homeschool curriculum for kids ages 8-13 that’s written as a comic book. Beast Academy Playground is a website that includes a growing library of fun activity ideas for kids ages 4-11.

The site includes both tabletop games that can be played with paper and pencil and more active games that can be played outside. Parents can sort the activities by concept, age, number of players, and more to find the perfect activity to complement any math lesson. New activities, games, and crafts are added to the site weekly.

Key Features of Beast Academy Playground

I love that every game on the site includes variations. These are different ways to adapt the game to fit the number of kids in your family or the age and grade level of your child.

In addition, most of the games can be played alone or in small groups. This makes Beast Academy Playground so easy for the whole family to use together!

Beast Academy Playground was developed by the experts at Art of Problem Solving, who are global leaders in K-12 math education. Each activity is intentionally designed to help kids learn new math concepts.

I was excited to see that each game also includes learning notes. This section helps parents understand what their kids will be learning when they play the game. I felt like I was prepared to be a better math teacher after I read the tips in this section!

Check out Beast Academy Playground and learn more now!

How to use Math Problem Solving Activities in Your Homeschool

Introduce a new concept.

One way to use problem-solving activities in your math lessons is to help introduce a new concept. For example, when we were learning about even and odd numbers, we started our math lesson by playing the Odds vs. Evens game from Beast Academy Playground. This simple math problem solving activity is a variation on the game Rock Paper Scissors. This was a fun way to help us review addition facts while introducing the concept of odd and even numbers.

Practice Problem-Solving Skills

Another great way to use Beast Academy Playground is to help kids practice their problem-solving skills. One fun problem solving game that my kids love is the Fox and Hare game. In this outdoor game, the fox needs to use strategy to try to catch the hare on a grid, while the hare tries to avoid capture. You can change the size of the grid to create a variety of problems for kids to solve.

Practice Math Facts

If your kids need extra practice with their math facts, games and math puzzles can be a fun way to practice these important skills. Beast Academy Playground has games for addition and subtraction, as well as concepts like skip counting that will help kids learn their multiplication facts.

One favorite that we enjoyed was Troll Hole . In this game, we took turns writing numbers on a special game board. In the end, we had to add up all the numbers to see who was the winner. My kids had so much fun with the theme of this game and loved getting to draw the troll in the hole!

Independent learning

As homeschool parents, we always need ideas for independent learning activities. Beast Academy Playground includes some great math problem solving games that are perfect for self-directed math learning. The many different activities on the site include several fun activities for one player that kids can work through independently to reinforce their math skills.

For extra review

Hands-on activities are also helpful when kids need a little extra review on a topic. For example, we played Kanga Ruler to help review skip counting. The kids loved this game because it was active and fun!

Top 10 Math Problem Solving Activities from Beast Academy Playground

Here are 10 of our favorite games that help kids develop a deeper understanding of mathematical concepts, all while having fun at the same time.

Trashketball

In this game, kids aim and try to score a basket into a trash can. Then, they add up the points they score. You can modify this game to add extra intellectual challenges for older kids or adapt the math so that younger kids can play too!

Trashketball was my kids’ favorite Beast Academy game, hands down. They loved trying to score as many baskets as they could. They had so much fun that they decided to keep playing even after our math lesson was finished!

Learn how to play Trashketball here.

In this math game for young children, kids race to stack towers of number cards. This is a great way to review numbers and counting. My kids really enjoyed trying to build the tallest tower that they could!

Learn how to play Towers here.

Bumper Cars

Although it took us a few tries to understand the strategy behind this game, my kids loved the concept of trying to figure out new ways to move the cars on the road. This was another great mathematical practice for strategy and solving difficult math problems.

Learn how to play Bumper Cars here.

Hungry Monster

This was a great way to practice inequalities and comparing numbers, and my kids loved feeding the correct answer in each inequality to the hungry monster!

Learn how to play Hungry Monster here.

Fruit Flies

In this math game for older problem solvers, kids try to claim as many grapes as they can for themselves, while blocking their opponent from getting any. This game is like an interactive logic puzzle, and it’s a good way for kids to learn critical thinking skills.

Learn how to play Fruit Flies here.

Blind Heist

In this game, Battleship meets addition as kids try to build the highest towers on their own secret side of the board. There are many different solutions and strategies to be successful, and my kids loved trying different solutions to this open-ended problem.

Learn how to play Blind Heist here.

Möbius Madness

This is a classic brain teaser for a reason- my kids were fascinated by the magic of a piece of paper with only one side. My kids were able to follow the directions easily and afterwards, they were excited to show their magical piece of paper to everyone who would watch.

Learn how to play Möbius Madness here.

This fast-paced card game was the perfect way to help my kids practice their addition facts.

Learn how to play Fifteen here.

Cookie Cutter

This game helps kids practice both spatial reasoning skills and fine motor skills at the same time. And, the result is a fun picture that they can color!

Learn how to play Cookie Cutter here.

Odd Knights

This was a fun way to practice even and odd (and it even led to a history lesson about the Knights of the Round Table!)

Learn how to play Odd Knights here.

What math problem solving activities will you use?

Whether it’s for extra practice or math review , Beast Academy Playground has something for every math learner. This site is a great resource to find exciting games that help kids develop number sense, problem solving, and logical thinking skills. If you want fun and engaging math activities that don’t require a textbook, this is the place to go. For more math problem solving activities and fun math games, check out Beast Academy Playground !

Find hands on activities to teach spelling and reading here!

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Free Math Worksheets — Over 100k free practice problems on Khan Academy

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That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

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High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

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Frequently Asked Questions about Khan Academy and Math Worksheets

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Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

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Here’s an example:

What are teachers saying about Khan Academy’s interactive math worksheets?

“My students love Khan Academy because they can immediately learn from their mistakes, unlike traditional worksheets.”

Is Khan Academy free?

Khan Academy’s practice questions are 100% free—with no ads or subscriptions.

What do Khan Academy’s interactive math worksheets cover?

Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.

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Khan Academy is a nonprofit with a mission to provide a free, world-class education to anyone, anywhere.

Want to get even more out of Khan Academy?

Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.

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Fun Math Problem Solving Activities for the Fourth Grade Classroom

Math is an important subject that students need to master in order to do well in their future studies. But it can be difficult to make math fun for students, especially at the fourth grade level. That’s why I’ve put together this list of my favorite problem solving activities that my fourth grade students love! Let’s take a look.

Problem Solving Ideas

Math Games – One of my favorite activities is to have the students play math games such as “24 Challenge” or “Math Baseball”. In these games, students are given a set of math facts or equations and they must solve them before their opponents can. This helps them practice their problem-solving skills while having fun. It also encourages them to work together as a team, which is great for building teamwork skills.

Word Problems – Another great activity is having the students work on word problems together. I like to have them write out the equations and then discuss how they solved each one. This helps them understand how to break down complex problems and identify key words or phrases that will help them figure out the answer more quickly. It also gets them thinking critically about how they approach solving each problem, which can be very beneficial in later grades when they have more challenging material to tackle!

Group Work – Group work can be a great way for the students to practice problem solving skills with their peers. I like to assign groups of four or five and give each group a set of math problems that they need to solve together as a team. This helps reinforce collaboration and cooperation among the students, as well as fostering an environment where everyone is comfortable voicing their ideas without fear of judgment from their peers or teacher.

Math doesn’t have to be boring! Problem solving activities are a great way for fourth grade teachers to engage their students in learning while still making sure they understand key concepts from the curriculum. From math games and word problems, to group work, there are plenty of activities you can use in your classroom that your fourth graders will love! And who knows—you might even find yourself having fun too !

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K-5 Math Centers

K-5 math ideas, 3rd grade math, need help organizing your k-5 math block, 5 ways to include math problem solving activities in your classroom.

Are you looking for math problem solving activities that are not too easy and not too hard, but juuust right? I’ve got something just for you and your students.

Solve and Explain Problem Solving Tasks are open-ended math tasks that provide just the right amount of challenge for your kids. Here’s a little more about them.

Open-ended math problem solving tasks:

• promote multiple solution paths and/or multiple solutions
• boost critical thinking and math reasoning skills
• increase opportunities for developing perseverance
• provide opportunities to justify answer choices
• strengthen kids written and oral communication skills

What Makes These So Great?

• All Common Core Standards are covered for your grade level
• 180+ Quality questions that are rigorous yet engaging
• They are SUPER easy to assemble
• Provide opportunities for meaningful math discussions
• Perfect for developing a growth mindset
• Easily identify student misconceptions so you can provide assistance
• Very versatile (check out the different ways to use them below)

You can find out more details for your grade level by clicking on the buttons below.

I’m sure you really want to know how can you use these with your kids. Check out the top 5 ideas on how to use Solve and Explain Problem Solving Tasks in your classroom.

How and When Can I Use Them?

Solve and Explain Tasks Cards are very versatile. You can use them for:

• Math Centers  – This is my favorite way to use these! Depending on your grade level, there are at least two (Kinder – 2nd) or three (3rd-5th) tasks types per Common Core standard. And each task type has 6 different questions. Print out each of the different tasks types on different color paper. Then, let students choose which one question from each task type they want to solve.

• Problem of the Day  – Use them as a daily math journal prompt. Print out the recording sheet and project one of the problems on your white board or wall.  Students solve the problem and then glue it in their spiral or composition notebooks.

• Early Finisher Activities  -No more wondering what to do next!Create an early finishers notebook where students can grab a task and a recording sheet. Place the cards in sheet protectors and make copies of the Early Finisher Activity Check-Off card for your kids to fill out BEFORE they pull a card out to work on. We want to make sure kids are not rushing through there first assignment before moving on to an early finisher activity.

• Weekly Math Challenges  – Kids LOVE challenges! Give students copies of one of the problems for homework. Then give them a week to complete it. Since many of the questions have multiple solutions and students have to explain how they got their answers, you can have a rich whole group discussion at the end of the week (even with your kindergarten and 1st grade students).

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• Formative Assessments  – Give your students a problem to solve. Then use the Teacher Scoring Rubric to see how your kids are doing with each standard. Since they have to explain their thinking, this is a great way to catch any misconceptions and give feedback to individual students.

So this wraps up the top 5 ways that you can use problem solving tasks in your classroom.  Click your grade level below to get Solve and Explain problem solving tasks for your classroom.

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