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Lesson Plan
Illustrative Mathematics

Finding an Unknown Angle

For Teachers 4th - 6th Standards
Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, students must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...
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Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include basic...
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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...
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Lesson Plan
EngageNY

Solve for Unknown Angles—Angles and Lines at a Point

For Teachers 9th - 10th Standards
How do you solve for an unknown angle? In 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.
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Lesson Plan
EngageNY

Unknown Angle Proofs—Proofs of Known Facts

For Teachers 9th - 10th Standards
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete practice...
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Worksheet
Curated OER

Geometry - Angles Overview

For Students 7th - 8th
Learners address 14 questions that include naming all pairs of opposite and supplementary angles for sets of intersecting lines and then, finding the measure of the unknown angle. They determine the measure of the angle that is...
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Lesson Plan
EngageNY

Solve for Unknown Angles—Angles in a Triangle

For Teachers 9th - 10th Standards
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...
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Interactive
CK-12 Foundation

Angle Measurement: Adding Angles

For Students 9th - 12th Standards
Build angles from angles. Using the Angle Addition Postulate, learners find the measures of unknown angles. The interactive simulation shows a visual representation of the postulate and allows individuals to manipulate the angles and...
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Worksheet
Curated OER

Measurements of Unknown Angles

For Students 6th - 8th
In this geometry skills practice worksheet, students respond to 9 questions that require them to calculate the measurements of the unknown angles.
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Worksheet
Curated OER

Kuta Software - Angles in Quadrilaterals

For Students 9th - 12th
In this angles in quadrilaterals worksheet, students solve 18 short answer problems. Students find unknown angles in a quadrilateral given a sketch of various quadrilaterals with unknown angle measurements.
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Worksheet
Curated OER

Find the unknown angle in the following triangles

For Students 4th - 7th
In this unknown angle worksheet, students find the unknown angle in the triangle that gives them 2 angles. Students find 9 unknown angles.
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Interactive
Curated OER

Five Find the Unknown Angle Interactive Problems

For Students 10th - Higher Ed
In this unknown angle worksheet, students use trigonometry functions in five problems to find the unknown angles.  Students may check their solutions and receive hints by using the "Check" and "Hint" button found at the bottom of the page.
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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 lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the ratios...
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Workbook
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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.
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Lesson Plan
Curated OER

Geometric Properties

For Teachers 9th - 12th
Students find triangular angles using the angle theorem. In this geometry instructional activity, students describe labeled triangles, use the pythagorean theorem, and rewrite information about triangles in standard form.
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Worksheet
Curated OER

Finding Unknown Angles

For Students 10th
In this finding unknown angles worksheet, 10th graders find each numbered angle's measure for 20 different angles shown in the diagrams. They calculate the size of an angle when the other two angles are known to equal 180 degrees. Then,...
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Instructional Video10:36
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Flipped Math

Inverse Trig Ratios

For Students 9th - 12th Standards
Put trigonometric ratios into inverse. Scholars learn how to find an unknown angle in a right triangle by using inverse trigonometric ratios. The pupils understand how the inverses undo a trigonometric ratio to provide the angle measure....
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Activity
Illustrative Mathematics

Find the Missing Angle

For Teachers 7th - 9th Standards
This one activity requires young geometers to pull together information they are currently learning with things they have learned previously. Here they rely on understanding something about parallel lines, alternative interior angles,...
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Handout
McGraw Hill

Triangles

For Students 4th - 7th Standards
After reviewing characteristics of seven types of triangles, young geometers discover how to find the missing angle of a triangle. Then, they practice identifying triangles, find missing angles, and find missing side lengths of similar...
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Worksheet
Curated OER

Tests for Parallelograms Homework

For Students 9th - 12th
In this test for parallelograms activity, students solve 15 short answer problems. Students determine if a given sketch is a parallelogram given angle measures and/or side lengths. Students use knowledge of parallelograms to find unknown...
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Lesson Plan
Curated OER

Geometry: Lesson 8

For Teachers 8th
Eighth graders engage in a lesson that is concerned with the finding of angles that are found in different two dimensional figures. They compare and contrast exterior and interior angles while also determining the unknown measures of...
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Worksheet
Curated OER

Academic Grade 9 Assessment of Mathematics: Algebra I and Geometry

For Students 9th - 10th
Test your class, or use this 12 page math packet as chapter review. They solve 21 multiple choice problems which require them to graph linear equations, find the volume of prisms and cones, find unknown angles, and determine...
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Lesson Plan
EngageNY

One-Step Problems in the Real World

For Teachers 6th Standards
Mirror, mirror on the wall, which is the fairest resource of them all? Individuals write and solve one-step equations for problems about angle measurement, including those involving mirrors. Both mathematical and real-world problems are...
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Lesson Plan
Curated OER

Introduce Vocabulary: Pinkalicious (Kann)

For Teachers K - 3rd
Although the title of Elizabeth Kann's story Pinkalicious isn't a real word, the book is an excellent way to explore some new vocabulary in context: acute, mushy, rare, steady, and surrounded. Find the story free on YouTube if you don't...