Handout
Charleston School District

The Sum of Angles in a Triangle

For Students 8th Standards
An informative lesson contains a brief explanation of how the sum of the angles of a triangle is a line. The lesson continues with determining the missing angle in a triangle, or solving for a variable. Using the sum of the...
Handout
Charleston School District

Pythagorean Theorem and Converse

For Students 8th Standards
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
Handout
Curated OER

Word Problems Review Sheet

For Students 11th - 12th
Word problems can make even expert mathematicians go blank. Practice solving word problems with an extended version of the GUESS method (givens, unknowns, equations, solve, substitute), which adds the steps of drawing a diagram, making...
Lesson Plan
Willow Tree

The Pythagorean Theorem

For Students 8th - 11th Standards
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Handout
Charleston School District

Applications of the Pythagorean Theorem

For Students 8th Standards
Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths. 
Handout
Charleston School District

The Distance Between Points

For Students 8th - 10th Standards
Find the shortest distance from A to B using the Pythagorean Theorem! Scholars learn they can find the distance between two points by creating a right triangle using the horizontal and vertical lengths and applying the Pythagorean...
Lesson Plan
Willow Tree

Midpoint and Distance Formulas

For Students 8th - 11th Standards
The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula. 
Lesson Plan
Willow Tree

Surface Area of Three-Dimensional Figures

For Students 8th - 11th Standards
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
Handout
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Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
Lesson Plan
Willow Tree

Ratios and Proportions with Congruent and Similar Polygons

For Students 8th - 11th Standards
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Handout
Geometry Help

Geometry Help: Equilateral Triangles

For Students 9th - 10th Standards
Explains the basic concept of equilateral triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Geometry Help

Geometry Help: Triangle Inequalities

For Students 9th - 10th Standards
Explains the basic concept of triangle inequalities with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Geometry Help

Geometry Help: Similar Triangles

For Students 9th - 10th Standards
Explains the basic concept of similar triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Geometry Help

Geometry Help: Congruent Triangles

For Students 9th - 10th Standards
Explains the basic concept of congruent triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Geometry Help

Geometry Help: Triangles

For Students 9th - 10th Standards
Explains the basic concept of triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Geometry Help

Geometry Help: Right Triangles

For Students 9th - 10th Standards
Explains the basic concept of right triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Geometry Help

Geometry Help: Isosceles Triangles

For Students 9th - 10th Standards
Explains the basic concept of isosceles triangles with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Purple Math

Purplemath: Right Triangle Word Problems

For Students 9th - 10th
Demonstrates how to translate, set up, and solve basic right-triangle word problems.
Handout
Cuemath

Cuemath: Sine Law

For Students 9th - 10th Standards
This comprehensive guide explores the topic of sine law, by finding answers to questions like what is the law of sines, what are the applications of sine law, and proof of the sine law. Includes solved examples and practice questions.
Handout
Purple Math

Purplemath: Basic Trigonometric Ratios: Examples

For Students 9th - 10th Standards
Demonstrates how to use trig ratios to do simple solving of triangles.
Handout
Other

Dans Math: Lessons: Trigonometry

For Students 9th - 10th
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
Handout
Geometry Help

Geometry Help: Pythagorean Theorem

For Students 9th - 10th Standards
Explains the basic concept of the Pythagorean Theorem with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Handout
Geometry Help

Geometry Help: Hinge Theorem

For Students 9th - 10th Standards
Provides a detailed definition of the Hinge Theorem with step-by-step instructions and methods for solving problems on your own.
Handout
Purple Math

Purplemath: Ratios

For Students 6th - 8th Standards
Explains the basic terminology and formatting of ratios, and demonstrates how to solve typical exercises.

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