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Illustrative Mathematics

Right Triangles Inscribed in Circles I

For Teachers 9th - 10th Standards
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
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Lesson Plan
Alabama Learning Exchange

"I Saw the Sine"

For Teachers 9th - 12th Standards
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.
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Lesson Plan
Curated OER

Rays and Angles

For Teachers 9th - 12th
Students view examples of a ray, opposite rays, collinear rays, angles, and straight angles. They discuss and demonstrate how to use a protractor and complete worksheet problems on rays and angles.
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Worksheet
Curated OER

Angle Relationships

For Students 10th
In this angle relationships worksheet, 10th graders solve 7 problems related to the different types of angles that occur in pairs. First, they identify each pair of angles as adjacent, vertical, complementary, supplementary, and/or as a...
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Worksheet
Curated OER

Exploring Angles

For Students 10th
For this exploring angles worksheet, 10th graders solve 12 various types of problems that are related to measuring various angles. First, they name the vertex of an angle and determine whether it appears to be acute, obtuse, right, or...
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Worksheet
Curated OER

Parallel Lines and Types of Angles

For Students 5th - 6th
In this angles and parallel lines worksheet, students solve 40 problems that pertain to parallel lines, supplementary, vertical, corresponding and alternate angles. There is instruction on the page with examples. This page is intended as...
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Worksheet
Curated OER

Missing Angle Problems

For Students 6th
In this problem solving worksheet, 6th graders focus on the angles described in each word problem. Students must solve for each of the 6 problems, giving a written explanation for each in the space provided.
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Lesson Plan
Curated OER

Angle Insolation

For Teachers 9th - 12th
In this science worksheet, students look for the answers that are related to the concept of insolation and measuring different angles.
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Worksheet
Curated OER

Angles, Bearings and Maps

For Students 7th - 8th
In this angles, bearings and maps worksheet, students measure angles and classify, calculate the size of unknown angles, and complete related multiple choice and word problems.
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Worksheet
Curated OER

Geometry Chapter 7 Practice Test

For Students 10th
In this geometry worksheet, 10th graders review problems that review a variety to topics relating to right triangles, including, but not limited to the Pythagorean Theorem, simplifying radicals, special right triangles, and right...
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Worksheet
Curated OER

Trigonometry

For Students 10th
For this geometry worksheet, 10th graders solve problems that are based on the right triangle trigonometry and the special right triangles. The three page worksheet contains twelve questions.  Answers are not included. 
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Lesson Plan
Curated OER

Basic Trigonometric Ratios

For Teachers 11th - 12th
In this trigonometric ratio worksheet, learners determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...
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Worksheet
Curated OER

Interior and Exterior Angles

For Students 10th
In this interior and exterior angles worksheet, 10th graders solve 10 different problems that include determining the interior and exterior of various triangles. They determine the measure of an exterior angle and then they determining...
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Worksheet
Curated OER

Special Triangles and Quadrilaterals

For Students 9th - 11th
In this special triangles learning exercise, students examine given special triangles.  They determine the length of a missing side and/or the measurement of a missing angle for given triangles and quadrilaterals.  Students justify their...
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Worksheet
Curated OER

Logical Relationship of Postulates & Theorems

For Students 10th - 12th
In this postulates and theorems worksheet, students explore a concept map containing information about angles and sides, alternate interior angles, and diagonals of a parallelogram.  They use the concept map to prove theorems dealing...
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Worksheet
Curated OER

Right Triangles & Pythagorean Theorem

For Students 6th - 8th
In this math worksheet, students find the missing angles for the right triangles using the Pythagorean Theorem. Then they label the adjacent and opposite angles.
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Worksheet
Curated OER

Angles: Prove It!

For Students 5th - 6th
In this angle worksheet, learners first draw a set of intersecting lines, then use a protractor to complete a set of instructions about angles and answer related questions. Answers included on page 2.
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Lesson Plan
EngageNY

Properties of Parallelograms

For Teachers 9th - 10th Standards
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
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Lesson Plan
Virginia Department of Education

How Many Triangles?

For Teachers 9th - 11th Standards
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the same...
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Lesson Plan
Curated OER

Triangle Side Lengths and Angles Measures

For Teachers 9th - 10th
Learners identify missing sides and angles. In this geometry lesson, students use triangular theorems to identify the missing sides. They use the Pythagorean Theorem to find the different ratios of each side.
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Lesson Plan
Curated OER

Angle-Side Relationships

For Teachers 9th - 11th
Young scholars investigate triangles and their angle-side relationship. In this geometry lesson plan, students identify the property of the triangles and use it to solve the problem correctly. They use the TI to graph their triangles.
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Worksheet
Curated OER

Squares and Rhombi

For Students 10th
In this squares and rhombi worksheet, 10th graders solve 8 different problems with quadrilaterals, especially the square and rhombus. First, they use the given rhombus and the given information to find the value for each statement. Then,...
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Lesson Plan
Curated OER

Angle-Side Relationships

For Teachers 9th - 12th
Students calculate the different sides and angles of a triangle. For this geometry lesson, students use triangular properties to define the relationship between two triangle. They identify missing angles using the interior angle theorem.
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Worksheet
Curated OER

Angles, Bearings and Maps

For Students 9th - 12th
In this secondary mathematics worksheet, students determine how many independent angles are in a diagram, bearings, and flight paths. The four page worksheet contains seven problems. Answers are provided. 

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