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University of Utah

Geometry: Angles, Triangles, and Distance

For Students 8th Standards
The Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Arc and Radians Relationship

For Students 10th - 12th Standards
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
Worksheet
Curated OER

Complementary and Supplementary Angles

For Students 4th - 7th
Your geometry learners determine the measure of remaining angles in sets of three given that the other two are complementary or supplementary. From a diagram, they identify which angles are supplementary, complementary or congruent from...
Lesson Plan
Curated OER

Measuring Angles in a Triangle

For Teachers 9th - 12th Standards
High schoolers investigate the sum of the measures of the angles of a triangle. They draw a triangle and measure the interior angles. Using Cabri Jr., learners find the sum of the measures of the interior angles. The lesson provides an...
Lesson Plan
Curated OER

Geometry of Triangles Using a Protractor

For Teachers 7th
Seventh graders use a protractor to measure angles and solve a problem involving distance. In this measuring angles with a protractor lesson plan, 7th graders calculate the distance of a line on a diagram by using a protractor to measure...
Lesson Plan
Curated OER

Measuring Angles & Segments

For Teachers 10th - 12th
Students view a PowerPoint for a warm-up lesson. They practice measuring around the classroom, measuring such things as the length and width of a desk, pencil, door, and book. Students use a website to practice measuring angles.
Lesson Plan
Curated OER

Around The Stop Sign

For Teachers 6th - 12th
Students analyze a drawing of a regular octagon inscribed in a circle to determine angle measures, using knowledge of properties of regular polygons and the sums of angles in various polygons to help solve the problem. They use...
Lesson Plan
Curated OER

Shapes and Designs Investigation

For Teachers 6th
Sixth graders estimate angle measures and angle theroms. In this online interactive geometry lesson, 6th graders review types of angles, investigate angle theroms, and explore nonadjacent angles.
Worksheet
Curated OER

Relationship between Exterior and Remote Interior Angles in a Triangle

For Students 9th
In this triangle worksheet set, 9th graders find the relationship between the exterior and remote interior angles in triangles. They determine the formula, and apply it in 15 problems. They use a compass as needed to measure angles.
Worksheet
Curated OER

Angle Sum of Triangles and Quadrilaterals

For Students 9th - 12th
In this angle sum activity, students find missing angles of 20 triangles and quadrilaterals.  Students find the missing angle in each polygon by using the total degrees of each and given angle measures.
Lesson Plan
Curated OER

Geometry Challenge

For Teachers 5th - 7th
Learners explore angle relationships and measure angles with a protractor by hand and online. They explore various websites and complete online activities and complete a worksheet.
Worksheet
Curated OER

Linear Pair Worksheet

For Students 9th - 11th
In this linear pair worksheet, students use the linear pair theorem to calculate missing angle measurements.  This two-page worksheet contains 6 problems.  Answers are provided on the last page.
Worksheet
Curated OER

Corresponding Angles

For Students 7th - 9th
In this corresponding angles worksheet, students identify corresponding angles and determine their angle measurement.  This two-page worksheet contains 6 problems.  Answers are provided on the last page.
Lesson Plan
EngageNY

Sine and Cosine of Complementary Angles and Special Angles

For Students 9th - 10th Standards
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous activity in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
Assessment10:41
Mathed Up!

Angles: Parallel Lines

For Students 9th - 11th Standards
Viewers are presented with seven problems with parallel lines and angle relationships and must use the given information to find the measures of specific angles. To finish, they explain their process in finding the measures in the...
Lesson Plan
Willow Tree

Angles Formed by Transversals of Coplanar Lines

For Students 8th - 11th Standards
Create a strong understanding of the relationships formed when parallel lines intersect a transversal. Discuss each type of angle pair and their relationship to each other. 
Lesson Plan
EngageNY

Similarity and the Angle Bisector Theorem

For Teachers 9th - 10th Standards
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...
Lesson Plan
EngageNY

Unknown Angle Proofs—Proofs with Constructions

For Teachers 9th - 10th Standards
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Clock Angles and Measures

For Students 10th - 12th Standards
It's 3:30, what radian is it? Pupils create clock angles on a clock and determine the radian measure to the minute hand. They then use a conversion factor to convert from one measurement to another.
Lesson Plan
EngageNY

Congruence Criteria for Triangles—AAS and HL

For Students 9th - 10th Standards
How can you prove it? Guide classes through an exploration of two possible triangle congruence criteria: AAS and HL. Learners connect this criteria to those previous learned and also explore criteria that does not work. The lesson...
Lesson Plan
EngageNY

Unknown Angle Problems with Inscribed Angles in Circles

For Teachers 9th - 10th Standards
We know theorems about circles—now what? Class members prove a theorem, with half the class taking the case where a point is inside the circle and half the class taking the case where a point is outside the circle. The lesson then...
Interactive
CK-12 Foundation

Complementary Angles: Corner Kick

For Students 7th - 10th Standards
Soccer is all about angles. Young mathematicians use an interactive to correctly position the path of a soccer ball so that it reaches the goal. They consider complementary angles when answering a set of challenge questions.
Interactive
CK-12 Foundation

Complementary Angles

For Students 7th - 10th Standards
Here's an interactive that complements your lesson plans. Users of the resource adjust one of the angles in a complementary set to see how it affects the other. A set of challenge questions assesses understanding.
Lesson Plan
Curated OER

Angles: Angles, Angles, Everywhere

For Teachers 6th - 8th
Students practice estiminating and measuring angles. After watching a short video, they identify angles in objects in the classroom and their homes. In groups, they participate in activities in which they are given a scenerio and are...

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