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Angle Relationships Guided Notes with Doodles Complementary Supplementary Angles
$4.25
Overview
- Standard: CCSS 7.G.B.5
- Unit: 7th Grade → Unit 6: Plane Geometry & Angle Relationships
- Grade: 7th Grade
Get the Lesson Materials
Angle Relationships Guided Notes with Doodles Complementary Supplementary Angles
$4.25
Learning Objectives
After this lesson, students will be able to:
- Identify complementary, supplementary angles, vertical angles, and adjacent angles
- Apply angle relationships to solve for unknown angles in a diagram
- Write equations to solve for unknown angles using angle pair relationships
- Explain real-life applications of angle relationships
Prerequisites
Before this lesson, students should be familiar with:
- Knowledge of types of angles (acute, obtuse, right)
- Knowledge of solving basic equations
Materials
- Pencils
- Colored pencils or markers
- Angle Relationships Guided Notes
Key Vocabulary
- Supplementary angles
- Complementary angles
- Vertical angles
- Adjacent angles
- Angle relationships
- Congruent
Procedure
Introduction
As a hook, ask students why understanding angle relationships is important in real life. Refer to the real-life application page of the resource and the FAQs below for ideas.
Use the first page of the guided notes to introduce angle relationships, specifically complementary, supplementary, vertical, and adjacent angles angles. Walk through the definitions and properties of these angles, emphasizing how to identify and solve for unknown angles. Then, move onto page 2 of the guided notes, where students have to write equations to solve for the unknown angle using the angle pair relationships.
Based on student responses, reteach concepts that students need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.
Practice
Have students practice angle relationships using the practice worksheet problems (page 2 of guided notes). Then, have students work on the maze activity involving angle pair relationships (page 3). Walk around to answer student questions.
Fast finishers can dive into the color-by-number activity (page 4 of guided notes) for extra practice. You can assign it as homework for the remainder of the class.
Real-Life Application
Bring the class back together, and introduce the concept of real-world application of angle relationships. Explain to the students that understanding angle relationships can be useful in various real-life situations.
For example, architects and engineers need to consider angle relationships when designing buildings and structures. They use angles to determine the stability and strength of the structures they create. By understanding how different angles interact with each other, architects and engineers can ensure that their designs are safe and structurally sound.
Angle relationships are also important in traffic engineering. The last page of the guided notes go through this in detail. Have students read the passage and then reflect on the real life applications of angle pair relationships (page 5 of guided notes).
Refer to the FAQ for more ideas on how to teach real-life applications of angle relationships.
Extensions
Additional Self-Checking Digital Practice
If you're looking for digital practice for angle relationships, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It's incredibly fun and a powerful tool for differentiation.
Here is one activity to explore:
Additional Print Practice
A fun, no-prep way to practice angle relationships is Doodle Math - they're a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
Here is one activity to try:
FAQs
Complementary angles are two angles that add up to 90 degrees.
- Complementary angles are angles that together form a right angle.
- For example, if one angle measures 45 degrees, the complementary angle would measure 45 degrees as well.
Supplementary angles are two angles that add up to 180 degrees.
- Supplementary angles are angles that together form a straight line.
- For example, if one angle measures 100 degrees, the supplementary angle would measure 80 degrees.
Vertical angles are a pair of opposite angles formed by two intersecting lines or line segments.
- Vertical angles are congruent, meaning they have equal measure.
- For example, if one angle measures 50 degrees, the other vertical angle would also measure 50 degrees.
Adjacent angles are two angles that share a common vertex and side.
- Adjacent angles are next to each other and do not overlap.
- For example, if one angle measures 60 degrees, the adjacent angle could measure 120 degrees.
To find the measure of an unknown angle using angle relationships, follow these steps:
- Identify the given angle measures or relationships in the problem.
- Use the properties of complementary, supplementary, vertical, or adjacent angles to set up an equation or expression.
- Solve the equation or expression to find the unknown angle measure.
Guided notes are a structured way of teaching angle relationships by providing students with a framework to organize and record important information.
- Guided notes help students focus on key concepts, definitions, and problem-solving strategies.
- They serve as a reference for students to review and study later.
There are several ways to engage students during a lesson on angle relationships:
- Incorporate hands-on activities, such as using protractors to measure angles.
- Use interactive whiteboards or technology to display and manipulate angles.
- Encourage students to work in pairs or small groups to discuss and solve angle-related problems.
To assess your students' understanding of angle relationships, you can:
- Assign practice problems or a worksheet to gauge their ability to find unknown angles.
- Use exit tickets or quick quizzes to check for understanding.
- Incorporate formative assessment strategies, such as asking students to explain the relationship between different angles.