Teach Area of Complex or Composite Shapes figures, middle school math lesson and activities
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How to teach the area of composite/complex figures in an EPIC way!

Struggling to teach the area of composite figures in a way your students actually get?

Ever wondered that every time you feel like thinking about how to get started or how even to think about introducing the topic to your kids, frustration kicks in!

Believe it or not, we all have been there during our first few years of teaching.

And you’re not alone… If your kids are zoning out the second you say “area” keep reading, this post breaks it down with easy, engaging ideas that make sense (and work for all levels).

Teach kids how to find Area of Complex or Composite Shapes  figures | middle school math lessons and activities

Explore the Area of complex figures in an exciting way

Let’s be real right now teaching math isn’t what it used to be. Today’s kids are growing up with TikTok-level attention spans and infinite entertainment options at their fingertips.

That means if your area of complex shapes lessons are not engaging and exciting enough, you’ve already lost half the battle.

Here’s the good news, you don’t need flashy tech or hours of prep work just to make the area of composite figures click for your students. You just need the right strategy.

So how do you teach this topic in a way that’s fun, clear, and actually sticks?

find Area of Complex or Composite Shapes lesson math middle school

The answer: make it visual, hands-on, and connected to real life, yup, that’s right this way your students aren’t just memorizing formulas, they’re solving problems like mini math detectives on a mission hunt.

Now the question is where do you begin?

Start with the Basics:

Like I said, it all starts with basics.

And to be honest, there is no other answer to this problem other than nailing the basics!

Here is the hard truth… if kids find the lesson interesting, they are more likely to be engaged and motivated to learn about the problem, think about it, practice it, and ultimately feel a sense of confidence in their skills.

This is why using gamified methods of teaching math inside your classroom can be a handy tool for teaching any concept!

Teach kids how to find Area of Complex or Composite Shapes  figures | middle school math lessons and activities

Seeing Math Everywhere:

Here are the steps to help kids see math everywhere in their life.

Step 1: Help Students See Math Everywhere (Real-Life Hook)

One of the most effective ways to introduce composite figures is by showing students where these shapes exist in their world.

What it means is to check for there: Activate prior knowledge. Ask your students:

  • What basic shapes do you already know?
  • Can you think of any objects that are made up of more than one shape?

Then guide them to see that a playground, a building (maybe school) floor plan, or even a weird-shaped pizza is made of multiple simple shapes.

🟩 + 🟥 + 🟦 = Composite figure.

Your goal here is to help them realize that composite shapes are just familiar shapes combined, nothing fancy.

Teach kids how to find Area of Complex or Composite Shapes  figures | middle school math lessons and activities

Step 2: Revisit the Basics with Hands-On Practice

Before diving into composite figures, make sure your students are rock solid on calculating the area of:

  • Squares
  • Rectangles
  • Triangles

Here is a Pro Tip: Use graph paper and have them COUNT squares to confirm what the formulas actually do. This helps your visual and tactile learners “see” the math in action.

Step 3: Decompose a Composite Figure (using engaging activities)

Once the basics are solid, it’s time for the real fun, breaking down a complex shape into smaller, manageable parts.

Here is an activity you can try in your class:

  1. Show them a real-life layout — like a house blueprint or the shape of a playground.
  2. Ask them to identify the basic shapes they see.
  3. Have them outline or color-code each individual shape inside the figure.
  4. Guide them through finding the area of each part — and then adding it all together.

Want a fun way to reinforce this practice? Try out this this area and perimeter Color by Number activity!

Finding the Area of Composite Figures or Complex Figures (Color by Number)

Since kids have already mastered how to calculate the area of regular shapes, it’s time to introduce them to composite figures.

You can use any composite shape, like a park or a house layout, and ask what they see.

Tell them to imagine the shape as a whole building made by several small ones and treat every small shape like a rectangle, square, or triangle as a room inside the building.

Let them think about this concept for a while, and then decompose the shape into its parts and find the area of the individual basic shape.

Finding Area of Complex Figures Piece by Piece

Next, it’s time to decompose composite figures like literally breaking the big shape into smaller, familiar parts.

For better understanding, it’s good to introduce a composite figure with 2 or 3 squares or rectangles and then move on to the more complex figures.

The next step is to ask your kids how many squares or rectangles they see inside their big figures.

Have them trace or outline each individual shape in a different color and then calculate the area of each smaller part one shape at a time.

Pro Tip: Write the area inside each shape as they go to help them see their progress. Next step is to calculate the areas of these individual shapes.

Since your students by now already know how to calculate the area of regular figures, it would not be a daunting task. Lastly, ask them to add all of them together to get the total area.

Want some resources to practice the area of squares, rectangles, and triangles in an exciting way? Check out this area and perimeter Color by Number activity below.

Area of complex figures review practice and perimeter of regular and composite figure, area and perimeter of regular shapes

Finding the Area of Complex Figures (Trending and Most Popular)

Now comes the fun part: tell your kids that we are calculating the area of the whole building, not just the single rooms inside.

They also know how to calculate it by adding the areas of each smaller shape. Basically, by summing up, kids will be able to tell what the area of the complex figure is. 

Want some fun digital and printable activities to help you with this lesson?

Check out this exciting whole class activity: Digital game for area of composite figure that also includes printaba le worksheet for student accountability.

Area of composite figure digital game and activity for 6th grade

Want to access free math resources worth $29. Click here to learn more!

Click here to learn more about 5th Grade math activities that keep your students excited while learning math year long.

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    Adding and Subtracting Fractions Color by Number PDF Free with Unlike Denominators

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    Adding and Subtracting Fraction Color by Number PDF Free Worksheet

    Teaching fractions can be challenging but it doesn’t have to be. This Color by Number activity makes learning fractions fun and stress-free. Your kiddos will love the vibrant mandalas and the creative twist on boring traditional worksheets. Plus, I think it’s a great way to keep them engaged with math during.

    How it Works?

    This activity is perfect for independent practice, math centers, or homework. Simply print out the worksheets, and let your kids color their way to mastering fractions. The Color by Number format provides instant feedback, so kids can easily see if they’ve got the correct answer. And guess what you can download this activity now for FREE.

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    Best Saint Patrick’s Day Free Math Activity to use NOW

    Are you and your kids ready for some festive free fun St. Patrick’s Day spirit in your classroom?

    Solve the Room activities can be a very helpful resource for math practice and movement in you math classroom. 

    Upper elementary students greatly benefit from having a movement activity for basic math fact revision and practice what they have been learning.

    However, using old, boring math fact practice sheets can have a few drawbacks, which is why I’m sharing in this post.

    I think math teachers everywhere can agree that math fact fluency practice sheets can be very useful, especially when used as a pair activity.

    Students are more likely to recall multiplication facts they have learned when they have a timed reminder, such as 1 or 3 minutes. 

    But… the problem with these activities is that they are not super fun things you can try in your classroom, especially during seasons.

    This is the reason why, for me personally, this activity is something I use in my upper elementary math classroom whenever I feel like my kids need a break from their usual math learning and it’s time for some movement to keep students learning juice flowing.

    Multiplication Facts Math Practice Scavenger Hunt and Solve the Room Activity 0-9

    So if it feels like you are facing the same problem, then here are my top 3 reasons why you should use Saint Patrick’s Day themed Scoot activities in your math class along with some more fun math activities you might like:

    1. Encourages Movement and Interaction:

    The ‘Solve The Room‘ aspect of this activity adds a physical aspect to learning.

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    Kids aren’t just sitting at their desks and practicing, instead, they’re moving around the classroom.

    This is even more beneficial for young kids in elementary or upper elementary who learn better when they’re physically engaged.

    2. Engagement through Theme-Based Learning:

    Themed activities are always a win in classrooms.

    Themed seasonal activities like Saint Patrick’s Day Math, are a fantastic way to keep students engaged.

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    Using these activities we will integrate the fun and festive spirit of the holiday into our March math lesson plans.

    This will not only capture student’s interest but make learning math more enjoyable for them.

    3. Promoting Collaboration and Social Skills:

    With all the rise in the use of technology for learning, kids are being glued to their screens a lot.

    These activities allow them to think outside the box and build their creativity muscle.

    Now… it isn’t just about math; it’s also about working together and developing social skills.

    Saint Patrick's Day fraction operation color by number coloring worksheets and activities | St. Patty's Day Adding and subtracting fractions

    Your kids can work in pairs or small groups which encourages teamwork and communication.

    Want to use the free solve the room activity inside your classroom? Click here and get the freebie activity.

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    5 Unique but Epic Ways To Use Color By Number Worksheets For High Student Engagement This Year

    Using color by number activities in one of my favourite ways to bring excitment and fun inside classroom. I cannot tell you how much my kids look forward to using these for any topic or theme day.

    Seriously its one of the best way in my opinion to keep them on the task while still interested in practicing math during math centers.

    Try using the if your kids are hitting a math practicing roadblock. We even display the art result they produced in our classroom or gallery. Students feel super prod when I do that.

    So today let’s discover five easy ways you can implement math color by number worksheets so you can have an engaged class that’s excited to work on them.

    What is a Color by Number Worksheets:

    Color by number worksheets aren’t just art and math combined today, instead they are a sure way to give your kids a more engaging and educational experience that they might miss out on during a traditional learning environment.

    This way of practicing math provides a structured way to kid’s daily math practice. Today, I’m about to sow you how I use them to add engagement for any topic you want to teach be it fraction operation including word problems or order of operation along with decimal operations.

    Why to use Color by number worksheets for developing understanding:

    Using art in our daily learning is a fantastic way to increase our kid’s educational experience. Think of it this way: your kids solving math problems and revealing a historical place, figure, or even a themed art piece to set the mood for some festive spirit.

    Coloring is also a calming activity that reduces stress and keeps them focused on the task while developing fine motor skills. This is one of the reason why I use color-by-number worksheets as a terrific way to keep them on track with their daily math progress while having fun

    Customizable Math Teaching Tool:

    Every child is different, and no 2 kids can learn the same way. Customizing color by number worksheets to fit their needs and learning styles can drastically boost student’s engagement.

    For visual learners or students who cannot focus on a single task, these worksheets can be a handy tool for any math teacher. 

    Creative Reward and Recognition:

    You can use the completed math coloring worksheets as a positive reinforcement activity for your students.

    Here is how I achieve this. I display the finished color by number worksheets inside our classroom or hallway, which encourages students to perform better and acts as a reward for their hard work.

    Develops Emotional Intelligence:

    This type of activity not only gets student’s creative juices to follow but also keeps them calm and organized. This enhances their emotional intelligence and stamina to endure more demanding challenges in the learning process, which we as a teacher always strive for. 

    Independent and Self-Checking Practice:

    If I had to pick one reason among all the above, this one would always surpass the rest. The most important thing any teacher wants is to cut down the time used for grading so we can actually do more of what we Love, aka “TEACHING“.

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    Want to include some color-by-number activities in your class?

    Here are a few free ones for you to use.

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    3 Digit Addition Problems Worksheets For Practicing Addition

    Looking for a 3 digit addition problem worksheets to practice 3 digit addition or subtraction with your students? Look no more because I got you covered.

    Helping students work on word problems is a daunting task.

    Especially if you are trying to encourage them to think independently on math problems and solve them on their own.

    That is why I have created these fun and engaging 3 digit word problem worksheets that are free for you to grab and teach now.

    [Click here to download.]

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    3 Digit Addition & Subtraction Word Problems

    Here is how it works.


    Signup for the freebies and download the file.

    Inside this freebie, you have 3 digit word problems on addition and subtraction. Besides word problems, it also contains no prep 3-digit mixed addition and subtraction problem worksheets.

    Print the problems you want your students to work on and hand them to your class. Students can solve the word problems independently, or you can help them complete the task.

    What I like to do in my class is put them in pairs. This way, even if one of the kids gets stuck, they can help each other out and figure out the solution.

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    Tips to make 3 digit addition problems fun and effective in your classroom

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    Skyrocket your Elementary Kids math learning using Innovative Valentine’s Day Activities To Triple Their Skills

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    Want to know the best part? You don’t have to do anything except for taking the printouts and handing them over to your students. Good deal, right?!

    Spread Math Love using Valentine’s Day Fraction Puzzles and Reinforce the Skills!

    Valentines Day fraction puzzles activity

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    Don’t have time to create one, no problem I have done all the grunt work for you and created this highly intriguing Valentine’s Day-themed activity “Addition and subtraction activities along with word problems”. It’s a perfect way to exercise your students’ 3 digit addition and subtraction problem solving skills in a love filled way! These activities have an enjoyable twist on the traditional learning word problems. Your students will enjoy this one and so will you.

    Valentine’s Day Solve the Room Activities

    Why worry about making students get tired or bored while practicing math? Why not use some unconventional ways to keep our math classes mesmerizing while challenging students at the same time? The “Valentine’s Day Solve the Room” activities are designed to do just that. 

    Valentines Day Math Add Subtract Multiply Divide Solve the Room Activity Bundle

    These Solve the Room activities cover basic math skills like 2 digit addition subtraction along with 2 digit multiplication and division. Use them and see kid’s faces lit with joy. All you have to do is put the question cards around the room and students need to find them, solve them, and record the answers in their record sheets.

    The mere activity of walking and solving math turns it into an amusing and delightful physical experience! Students get so engaged and it’s captivating to watch them calculate and get excited!

    Color By Number Activities: A Great Way to Integrate Art and Math.

    For you teachers out there, do not forget to try out Color By Number Activity during the season of Love! It’s not only perfect for kids who love coloring, but the Valentine’s Day theme makes it even more fun and relevant for February. 

    Valentines Day Multidigit Addition Subtraction Multiplication Division Coloring by number

    The activity is a perfect combination of art and math. While coloring and designing something beautiful, students can learn basic addition and subtraction skills. And, the best part! they get to create a gorgeous piece of artwork that you can then hang in the hallway as a reward! It’s a win-win for both learners and teachers.

    Try out these activities as a way to make math enjoyable and intriguing for students, while also keeping the holiday spirit alive. With these activities, students will have the chance to learn these topics and practice the essential skills, while having fun. 

    Moreover, these are great to break up your typical lesson plans and add a fun and lively aspect to your classroom. So, take advantage of these holiday-themed math activities to keep your students engaged and motivated to learn!

    By the way if you like this activity you might want to check out adding and subtracting decimals activities 5th grade.

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    Ultimate 5th Grade Fraction Activities for Double Engagement (Including Word Problems, Games & Centers)

    Teaching fractions can feel like a constant struggle, especially in 5th grade. Students need to work hard on their fractions and decimals skills to become fluent in these areas.

    But here’s the good news: the right activities can completely change how students understand and engage with fractions.

    So if teaching fractions feel like a constant struggle or your students lose interest halfway through the lesson… fret not because you are not alone.

    In this post, you’ll find easy and engaging 5th grade fraction activities, including games, movement-based tasks, and hands-on practice that help students build confidence and actually enjoy learning fractions. So, let’s dive in.

    1. Fun Unlike Fractions Games

    One of the most important steps in teaching fractions to upper-elementary students is to make them meaningful. 

    This starts with making sense of what fractions mean and why it is important to make the denominators the same before solving any fraction operations.

    From what I know, by grade 5 the majority of students are fluent in multiplication facts. So solving unlike fractions is just a matter of practice for them.

    What better way to practice than using Games?

    Games are a powerful way to practice and review any skill as it combines repetition, motivation and low-pressure learning opportunity for students.

    If you are looking for some unique fractions game ideas to implement in your classroom, here is one I would suggest.

    5th grade fractions with unlike denominators games and activities

    This activity includes a printable self-checking game maze that you can use with your kids to have them practice addition, subtraction, multiplication, or division of fractions with unlike denominators.

    Each fraction operations maze activity comes with 12 task cards and a self-checking fun game, which keeps kids inspired to learn without you having to spend all day grading.

    The game is story-based, in which your kids become detectives, helping the Queen bee, who is lost in the jungle, return home.

    For that, your kids have to work through the problems and move through the maze to bring her back home.

    Once the kids have completed the activity, you can use the printable reward card to reward your kid’s hard work and create a positive motivation for them to practice their math skills happily the next time!

    Want a free activity to practice fraction skills? Click here to join the community today.

    2. Fractions Centers Activities

    Math centers are one of the easiest ways to bring structure and engagement into your classroom.

    An important part of keeping your math centers engaging and exciting is rotating the learning materials that the students can use during centers.

    Here are a few of my favorite fraction centers for practicing 5th grade fractions with unlike denominators and how I use them in math centers!

    Solve the Room Activities

    We love to use task cards and solve the room activities during math groups. You can any topics and have kids move while learning something new.

    Adding and subtracting fractions with unlike denominator activity

    This is my 5th grader’s favorite activity, as it allows them not to be glued to their desks but to move around the room while working on the problems.

    The best part is that it is very easy to set up. All you have to do is print the question cards and place them in different spots inside your classroom.

    Next, give students their recording sheets. Kids move around the room, looking for problems with adding and subtracting fractions. 

    They solve the problems and record their answers on the recording sheets provided.

    You can also instruct them to use the back of the recording sheet to show their work, which is always a good idea. If you want to try these activities for your next class, check them out here.

    Looking for structured rotations? Check out these fraction centers ideas.

    Why and How to use centers effectively

    Math centers can be one of the easiest ways to bring structure, engagement, and differentiation into your classroom, especially when teaching fractions.

    Because instead of teaching the whole class the same way, using centers allows your students to practice at their level and not the whole class, stay actively involved, and build confidence over time.

    Here are the top reasons why you should have one set up for your classroom:

    • It helps break complex fraction concepts into manageable tasks
    • Keep your students actively engaged instead of passively listening
    • It will allow you to differentiate without any extra prep
    • Gives you time to work with small groups, which is super important

    Here are few of my recommendations:

    Fraction Operations Escape Room Puzzle for math centers

    Escape rooms or solve the room fraction activities are perfect for small groups, math centers, or independent practice.

    Teacher Tip: Start simple.

    You don’t need 5 fancy centers right away. Even 2–3 well-structured centers can completely change how your fraction lessons feel for both you and your students.

    3. Hands-on Fractions Activities

    This is where the real understanding happens.

    Fractions can feel abstract for many students. But when they can see, touch, and build their learning, everything starts to click.

    Hands-on activities are the best way to help bridge the gap between memorizing steps and truly understanding what fractions mean using fraction strip manipulatives.

    Why Hands-On Activities Work

    • They help kids visualize fraction concepts clearly, so they develop a strong understanding
    • It is the best way to support struggling learners who need concrete examples
    • It also encourages deeper thinking instead of rote procedures

    For many students, until they have analyzed the topics in multiple ways, things do not click. That’s why this is the moment fractions finally start to make sense for them.

    Here are some hands-on activities my kids love and I used over and over again:

    5th grade unlike fractions math crafts hands-on practice
    5th grade unlike fractions adding and subtracting hands-on picture puzzles practice

    4. FRACTION WORD PROBLEM ACTIVITIES

    This is where you will find many of your students struggling.

    Many students can follow the steps to add or subtract fractions, but when those same skills appear in a word problem, they get stuck.

    That’s because word problems require more than computation they require thinking, interpreting, and applying concepts in context.

    Here are few of the reasons students often struggle with fraction word problems:

    • They need to understand what the problem is actually asking
    • Deciding which operation to use (add, subtract, multiply, divide)
    • Work through multiple steps in the correct order
    • Represent their thinking clearly

    So it does not just become math, instead it’s reading, reasoning, and problem-solving all combined in one.

    Pro Tip: Start with simpler problems and gradually increase complexity. Your best bet is a mix of:

    • basic practice (to build confidence)
    • multi-step problems (to build depth)

    This helps students feel successful while still being challenged.

    If you’re looking for ready-to-use fraction word problem activities that include both practice and deeper thinking, for math centers or engagement. Here is a color-by-number activity you might like:

    Adding and subtracting Fractions Word Problems Printable PDF

    5. DIGITAL FRACTION ACTIVITIES

    Digital fraction activities are a strong way to keep students engaged in a meaningful practice while giving them the independence to review the concept at their own pace.

    Whether you’re teaching in a classroom, assigning homework, or managing distance learning, digital tools make it easier to provide interactive, low-prep, and self-paced practice for your students.

    There are a lot of options for digital activities for kids, including interactive digital slides, Boom Cards, digital task cards, digital escape rooms, and other paperless activities. 

    Mostly digital activities are best for centers where you want them to to work independently without constant supervision.

    But the best thing I love about them is how much time these save for teachers on grading and preparations.

    Fraction Operations Adding and Subtracting Fractions and Mixed Numbers Game Show Digital PowerPoint Activity

    You do not necessarily need to use them inside the classroom, you can even assign them to kids as some extra homework practice.

    I would say start simple. You don’t need complex tools, basic Google Slides or simple interactive activities can be just as effective as more advanced platforms like Kahoot or Breakoutedu.

    Our goal is engagement and clarity, not more complexity.

    6. FRACTION REVIEW & TEST PREP ACTIVITIES

    One of the biggest challenges with teaching fractions is helping students hold on to what they learned.

    They may understand a skill one week, but after moving on to the next concept, it can start to slip away.

    That is exactly why fraction spiral review can be so helpful. A strong spiral review gives students repeated practice with the most important fraction skills.

    Over time, instead of teaching a concept once and hoping it sticks, students keep on repeating the skills so it actually sticks.

    In 5th grade, that means reviewing fraction concepts and equivalence, adding and subtracting fractions with unlike denominators, mixed numbers, multiplying fractions, dividing unit fractions, and solving real-world fraction word problems.

    When these skills are revisited in a structured way, students build a stronger understanding, better retention, and more confidence.

    I created this 5th grade fractions spiral review as a test prep resource to do exactly that.

    7. TIPS FOR TEACHING FRACTIONS EFFECTIVELY

    Fractions usually click better when students see them, touch them, talk about them, and compare them before jumping into rules.

    Here are some of the most effective tips to use for teaching fractions:

    1. Start with visuals first
    2. Teach fractions as numbers, not just pieces of pizzas or cake
    3. Spend extra time on equivalence practice and concept building
    4. Expect and address common misconceptions that arise as kids practice
    5. Spiral review constantly to retain the concepts

    Check out these 5th grade fraction operations coloring activities that you can use to boost your classroom math learning outcomes.

    Looking for a full list of fraction activities? Check this 5th grade math activities guide to details or explore all 5th grade math topics here: 5th grade math guide