Math Wheels for Note-taking?

Teaching Angles and Angle Relationships in the Middle School Math Classroom

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Teaching Angles and Angle Relationships in the Middle School Math Classroom.

Understanding angle relationships can feel like discovering a secret code to geometry for our students! It’s all about how different angles connect, complement, and sometimes even mirror each other. Diving into this topic gives our students the tools to recognize patterns, solve puzzles, and make sense of shapes in the world around us. Today, I’m breaking down how to teach angle relationships with my Angle Relationships math doodle wheel in a way that makes the concept more approachable for our students.

Benefits of Learning About Angle Relationships

Learning angle relationships isn’t just about memorizing facts and formulas. When our students understand how angles connect and interact, they gain a new perspective on everything from designing a piece of artwork to analyzing architecture. Imagine looking at the corner of a building or a stained-glass window and knowing exactly how those angles work together. It’s empowering and makes math feel truly useful.

Plus, mastering angle relationships is a huge confidence booster! Geometry often challenges our students. Understanding these relationships builds their problem-solving skills and reinforces logical thinking. By learning how angles relate, our students start to see patterns and connections, making math feel like a series of “aha!” moments. With this knowledge, they’re not only ready to tackle geometry but are also developing critical thinking skills that will benefit them in every learning area.

What Are Math Doodle Wheels?

Math doodle wheels are an effective way to teach angle relationships.

Math doodle wheels have quickly become one of the most exciting and effective ways for my students to take notes in math! They are part graphic organizer, part notes, and part practice all rolled into one single page.

I know keeping students engaged during math lessons can be a struggle. That’s where these math wheels come in. They completely transform note-taking by breaking down the information into bite-sized chunks, letting our students practice problems, jot down key ideas, and even add their own colors and doodles, making each wheel uniquely theirs.

Math wheels are so powerful because they help make math concepts stick. Our students can fill in the core ideas right in the center of the wheel. Then, bring it to life by coloring and doodling while they work through problems around the edges. This approach makes math more hands-on and creative and taps into visual and kinesthetic learning. Research shows that adding colors and visuals can enhance memory, so these wheels are as brain-friendly as they are fun! The color and doodles make it easier for our students to recall what they’ve learned. And that. . . is the goal!

Another thing I love about math wheels is their flexibility. I can use them for whole-class instruction, small-group work, or independent practice. Once they’re filled out, they become an excellent resource our students can refer back to any time they need a refresher.

With different wheels for all kinds of concepts, we can always customize them to fit our lessons. Math wheels bring extra excitement and engagement to math class, keeping our students organized, involved, and eager to learn!

Angle Relationships Math Doodle Wheels

My Angle Relationships Math Wheel is divided into five different sections. Each one focuses on a key type of angle relationship. You can use this math doodle wheel to introduce the topic to your students, use it with small groups, or use it for review! Here’s how I recommend approaching each section to make it engaging and memorable.

Supplementary Angles

The supplementary portion of the Math Doodle Wheel allows students to find the supplement to each angle provided.

We start at the Supplementary Angles section. I start by explaining that supplementary angles add up to 180 degrees, like two pieces fitting together to make a straight line. I encourage students to visualize and even sketch these angles on their wheels to see how they form that straight path. If students struggle with this concept, have them start by drawing a straight line and then dividing it into two different angles. This helps them see the concept in action.

While working on supplementary angles, we talk through lots of examples. Students write down the definition of the concept inside the wheel. Then we move on to the examples. There are four examples in the section that help students put supplementary angles into practice using different techniques.

Complementary Angle Relationships

This image show the Complementary section of angle relationship Math Doodle Wheel.

From supplementary angles, we move on to complementary angles. Complementary angles are two angles that add up to 90 degrees. This is the perfect time to review right angles and what 90 degrees looks like. Then we move on to the examples in this section of the doodle wheel. This section has four examples that will get students to use addition and subtraction to find complementary angles.

To help solidify this concept students can draw an acute angle and then find its complementary angle. Having students share their angles is a great way to get in a few more examples.

Vertical Angle Relationships

Vertical angle relationships mirror each other. The doodle wheel shows students example to show this.

Next up we tackle vertical angles. Many times students start to worry that these are more complex simply because of the examples that are drawn. But that is unnecessary because vertical angles are simply angles that are opposite each other when lines cross and they are equal in measure.

When two lines cross, two pairs of vertical angles are created. Drawing some examples on the board really helps students see this concept. I like to have students identify the vertical angles and mark them with different colors. We talk about how they “mirror” each other and how they are always equal. I have students add this information to their math wheel. Then we complete two examples together for them to see how they match up.

By the time they finish up, students realize that vertical angles aren’t scary at all. In fact, they are some of the easiest angle relationships to find.

Adjacent Angles

This image shows the adjacent angles section of the angle relationship Math Doodle Wheel.

Next on our Angle Relationships math wheel are adjacent angles. With adjacent angles, students learn that these angles share a common side and are next to each other. They have a common side and a common vertex. I also make sure to point out that these lines do not overlap.

This section provides students with some key vocabulary they will need to be familiar with. I encourage students to color-code this section and draw examples to distinguish them from the other types. We also label where the common vertex is located and which one is the common side. This section on the wheel gives them a clear reference, making it easy to identify adjacent angles in diagrams or real-life shapes.

Finding Missing Angles

The finding missing angles section is where students identify angle relationships and put everything together.

The final section of the Angle Relationships math wheel is all about finding missing angles. This section is where students put everything together. They apply their knowledge of angle relationships to solve for missing angles.

While at first this can be confusing, having all of their notes, definitions and examples right on the page makes it easy for students to look back. There are three examples in this section, and additional problems surround the wheel. It’s the perfect guided practice and independent practice built into one activity.

Students love working through problems as they determine the missing angles. It’s like they become angle detectives as they start identifying the angles and using what they have learned to find the measurement of the other angles. It’s incredibly rewarding to see them connect the concepts they’ve learned. This practice reinforces all the angle relationships and gives them a solid understanding of how to apply them.

After Finishing Angle Relationships Notes

After finishing angle relationship notes, students are given the opportunity to color.

Once they’ve finished, students store their completed wheels in their math notebooks or binders. This keeps their hard work safe and ensures they can access it anytime they need a refresher. Keeping this resource safe means they’ll have a quick and reliable reference as they continue to build their geometry skills throughout the year. The math wheel becomes their go-to guide, supporting their confidence as they tackle new concepts.

Bringing Angle Relationships to Life in the Classroom

As we wrap up angle relationships, I hope you’re as excited as I am to see these concepts come to life in your classroom! With the Angles Relationship Math Wheel and a few extra resources, we give our students the tools they need to tackle geometry confidently. These activities make learning angles not just doable but fun, with plenty of color, creativity, and hands-on practice. When our students have these visual and interactive references at their fingertips, they’re set up for success as they continue building their math skills. Here’s to making math memorable and helping our students feel ready to take on any angle that comes their way!

Additional Resources for 7th Grade Math

With the Angle Relationships Math Wheel as a fantastic start, I love building on these hands-on activities with even more resources to keep 7th grade math engaging and interactive. Here are some of my go-to tools that help reinforce concepts and make math memorable!

Save for Later

Remember to save this post to your favorite math Pinterest board for quick access to the Angle Relationships Math Doodle Wheel!

Ellie

Welcome to Cognitive Cardio Math! I’m Ellie, a wife, mom, grandma, and dog ‘mom,’ and I’ve spent just about my whole life in school! With nearly 30 years in education, I’ve taught:

  • All subject areas in 4th and 5th grades
  • Math, ELA, and science in 6th grade (middle school)

I’ve been creating resources for teachers since 2012 and have worked in the elearning industry for about five years as well!

If you’re looking for ideas and resources to help you teach math (and a little ELA), I can help you out!

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