Illustrative Mathematics
Converse of the Pythagorean Theorem
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
Curated OER
Points, Regions, Distance and Midpoints
In this college level coordinate geometry instructional activity, students identify and graph points on a coordinate plane, find the missing side of a right triangle, determine the distance between two points, and find the midpoint of a...
Charleston School District
The Distance Between Points
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...
Lane Community College
Review Sheets: Geometry
Full of problems with polygons, angles, lines, and triangles, your learners get a multi-page packet that provides all they need to know. It contains many of the standard problem types as well as some more challenging questions.
Curated OER
Unit Circle and Triangle
Students apply the Unit Circle to solve ratios of triangles. In this geometry activity, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
Curated OER
Identify Angles: Obtuse, Right, Straight and Acute
In this triangle worksheet, students identify angles as either obtuse, right, straight or acute. A reference web site is given for additional activities.
Curated OER
Right Trianlges: Missing lenght
In this geometry worksheet, 10th graders use the Pythagorean Theorem to find the indicated missing side of a right triangle. The one page worksheet contains one problem. Answers are not provided.
Curated OER
Exploring Trigonometric Ratios
Young scholars calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Curated OER
Unit Circle Triangle
Students find the different ratios of a right triangle. For this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Curated OER
Pythagoreum Theorem
Students practice assessing how to apply the formulas for the area of parallelograms and triangles. They recount the contributions of Pythagoras and apply the theories of the Pythagorean theorem in a group project to calculate the...
Curated OER
Relationship between Exterior and Remote Interior Angles in a Triangle
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.
Curated OER
Geometry Practice: Area of Polygons #8
In this area of polygons worksheet, high schoolers solve 7 short answer and multiple choice questions about area. Students find the area of triangles given base and height, or points in the coordinate plane.
Curated OER
Basic Shapes
Students create books about shapes. In this shape lesson, students select a topic such as points, lines, angles, planes, polygons, quadrilaterals, triangles, circles, and polyhedra. In groups, they create an illustrated...
Curated OER
Trigonometric Triangles
In this trigonometry worksheet, students find the missing angle and sides given the 6 trigonometric values. There are 6 questions with an answer key.
Curated OER
Twenty-Five Measures of the Angles of a Triangle Problems
In this triangle worksheet, students calculate the measures of the angles or the sums of the measures of the angles in twenty-five triangle problems and hands-on activities. The solutions are provided.
Curated OER
Triangles Introduction
Students explore geometry by drawing various shapes in class. In this triangle characteristics lesson, students identify the attributes that classify a shape as a triangle and practice using their bodies to create triangles in class....
Curated OER
Using Slope Angles
In this geometry instructional activity, 10th graders use right triangle trigonometry to solve problems involving angle of elevation or depression. The one page instructional activity contains eleven problems. Answers are not...
Curated OER
Pythagorean Theorem for Algebra I
In this Pythagorean theorem for algebra I instructional activity, learners answer 10 problems finding the missing side of a right triangle using the Pythagorean theorem.
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Concord Consortium
Strings and Areas
You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...
Curated OER
Fish Tale
Here is a cute problem that requires visualizing two-dimensional shapes within a three-dimensional object, and using properties of triangles and the Pythagorean theorem to solve a real-world problem. There is a small mistake in this...
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