Curated OER
Glasses
Provide your class some practice with the dimensions of geometric figures. Here you have a set of three different-shaped, stemmed drinking glasses with diameters and heights provided. Math-minded individuals calculate the volume of each....
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Area Measures and Right Triangles
Your class will investigate the relationship among different triangles. This geometry instructional activity, demonstrates how to make a connection between triangles and the Pythagorean Theorem. They identify the missing side or angle of...
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NON-EUCLIDEAN GEOMETRY.
Students study relationships between angles, side lengths, perimeters, areas and volumes of similar objects. In this lesson students also create and critique inductive and deductive arguments concerning congruency, similarity and the...
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Mean Twisters - Mean Proportional
In this mean proportional learning exercise, learners work in pairs to solve right triangle problems. They use ratios and proportions of similar triangles to determine a missing length. This two-page learning exercise contains 16...
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Special Right Triangles Multiple Choice
In this length instructional activity, students answer five multiple choice questions concerning lengths using rules of various figures including, triangles, rhombus, diamonds, and circles.
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Triangle Side Lengths and Angles Measures
Students identify missing sides and angles. In this geometry instructional activity, 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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Investigating Trigonometric Ratios Through Similar Right Triangles.
49Young scholars investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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Trig is SOH Easy!
Students derive the six trigonometric identities. In this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.
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Geometric Mean Multiple Choice
In this geometry worksheet, students find the measures of the side of a triangle. They use the Pythagorean Theorem to find the different parts of a right triangle. There are 10 questions with an answer key.
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Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
CPM
Cones and Spheres
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
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Special Right Triangles
In this special right triangles instructional activity, 10th graders solve 10 different problems that include solving equations that are special right triangles. First, they determine the exact value of each problem. Then, students use...
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Clairbuoyant
In this geometry worksheet, 10th graders use the Pythagorean Theorem to determine how far a boat is from its original position. The one page worksheet contains one problem with the solution.
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Unit Circle and Triangle
Students apply the Unit Circle to solve ratios of triangles. In this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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Math Challenge
Students challenge their math knowledge through a series of lessons designed to engage critical thinking and reasoning skills. In these problem solving lessons, students work with the Pythagorean Theorem, time zones in different regions...
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Countdown Challenge: Similarity
In this similarity instructional activity, students use similar rectangles to find the length of a diagonal. They use symbols and write paragraphs to explain the problem. This one-page instructional activity contains one similar problem...
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Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
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Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
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Right Triangles and The Unit Circle
Students solve right triangles using trigonometry. In this geometry lesson, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
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Length of an Arc
Twelfth graders define an arc and find its length. In this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
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Mystify with the Mathematics of Ancient Egypt
Hieroglyphics, surveying, and the pyramids may all be explored with mathematics.
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The Corner Problem
Students explore the concept of the corner problem. In this corner problem instructional activity, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar...
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A Lesson on the Root Spiral
Learners create lines and shapes with a compass and a straight edge. In this geometry lesson, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing mathematics and geometric...
Mathematics Assessment Project
Middle School Mathematics Test 2
A 13-page test with two 40-minute sections covers multiple years of math content. It incorporates applied problems and mathematical analysis.