EngageNY
Solve for Unknown Angles—Angles and Lines at a Point
How do you solve for an unknown angle? For this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
Willow Tree
Angle Measurement
What do you create when you rotate a ray? An angle! Teach all the angle basics including naming, measuring, supplements, and complements.
EngageNY
Copy and Bisect an Angle
More constructions! In this third installment of a 36-part series, learners watch a YouTube video on creating door trim to see how to bisect an angle. They then investigate how to copy an angle by ordering a given list of steps.
Curated OER
Eleven Angle Addition Postulate and Adjacent Angle Problems
In this angles worksheet, students use the angle addition postulate, the idea of adjacent angles and the diagrams shown to answer eleven questions
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
EngageNY
Solve for Unknown Angles—Angles in a Triangle
Assist your class with each angle of geometry as they use exterior angles to form linear pairs with adjacent interior angles. They cover multiple vocabulary terms and work practice problems, complete with justifications, before taking an...
Flipped Math
Angle Pairs
Complement the class by identifying pairs of angles. With a vocabulary lesson, pupils learn the names and definitions of special angle pairs including adjacent, vertical, complementary, supplementary, and linear pairs. Using the...
Curated OER
Geometric Angles
Students explore angles and their use in Geometry. Students investigate three different kinds of angles: obtuse, acute, and right angles through an online activity. They identify pairs of angles with special relationships: vertical,...
Curated OER
Angles Lesson Plan
Students explore the relationship of angles as it relates to 2 and 3-D shapes. In this geometry lesson plan, students differentiate between acute, obtuse, right, alternate interior, exterior and adjacent angles. They manipulate a math...
Curated OER
Sum of Exterior Angles of Polygons
Have fun calculating angles for different polygons. The class differentiate the relationship between the interior and exterior angles of polygons. They discuss linear pair as it related the polygons and their angles. This is done as they...
Curated OER
Exploring Angle/Pair Relationships
Students find missing angles and sides of triangles. For this geometry lesson, students create intersecting lines to measure angles. They use Cabri Software to create virtual angles.
Alabama Learning Exchange
"I Saw the Sine"
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
Curated OER
Angle Pairs
High schoolers practice identifying right, vertical, and adjacent angles using a Smartboard. They then determine measurements of all of the angles when only one measurement is given.
Curated OER
Exploring Characteristics Needed to Prove Two Trianlges Congruent
Tenth graders explore congruent triangles. In this geometry lesson, 10th graders investigate the conditions necessary to prove two triangles congruent. The lesson combines dry erase board activities and the use of technology.
Curated OER
Geometric Proof and Angles
In this geometry worksheet, 10th graders write two-column and paragraph proofs to prove angle pair relationships. The one page worksheet contains five problems. Answers are not included.
Curated OER
Exploring Angle Pair Relationships
Young scholars investigate the relationship between angles of triangles. For this geometry lesson, students identify properties of right and non-right triangles. They differentiate between vertical and supplementary angles.
Curated OER
Triangle Exterior Angles Theorem
Students identify the measure of missing exterior angles. For this geometry lesson,students define and apply the exterior angle theorem to solve problems. They use Cabri software to create different angles and make investigations.
EngageNY
Incredibly Useful Ratios
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this lesson that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent sides before exploring...
EngageNY
Applying Tangents
What does geometry have to do with depression? It's an angle of course! Learners apply the tangent ratio to problem solving questions by finding missing lengths. Problems include angles of elevation and angles of depression. Pupils make...
Curated OER
Trigonometric Functions of Acute Right Triangles
Learners derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
Curated OER
Angles and Arcs
Students discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs.
Students give examples of concentric, similar, and congruent circles and congruent arcs.
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Curated OER
Geometry for the Technologies
Learners discover how to use various tools to measure and draw angles. With protractors, they classify angles according to angle measure, identify vertical angles, and perform angle additions. For their final project, students create...
Curated OER
Formula Determination
Students derive a formula for the interior degrees in any convex polygon. For this geometric figure lesson, students determine the shapes of various polygons and the number of triangles formed. They use this information to derive the...