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Pythagorean Theorem Practice

For Teachers 7th - 10th
In this geometry skills worksheets, students examine 10 triangles and use the Pythagorean theorem to identity the lengths of the missing units.
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Sail Problem

For Teachers 9th - 12th Standards
High schoolers explore the proportional relationships involved in multiple parallel lines being cut by a transverse line. They complete a sail design problem, that involves finding the lengths of pieces of fabric along the edge of a sail...
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The Trig To Soccer

For Teachers 9th - 12th
Young scholars are given the background information to open the lesson: Suppose a penalty kicker in soccer could choose where he could kick from, as long as he stayed on the back line of the penalty area. Would he have a better chance of...
Worksheet
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Pythagoras' Theorem

For Students 8th - 9th
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to determine the length of a missing side. They calculate surface area of a prism. This two-page worksheet contains 4 multi-step problems.
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CSI Investigation of Congruence and Similarity

For Teachers 9th - 12th
Pupils differentiate between similarity and congruence using polygons. In this geometry lesson, students label triangles based on their properties. They find missing sides and angles using the interior sum theorem.
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Map of Argentina

For Students 5th - 6th
In this map of Argentina worksheet, students label key areas, cities, bodies of water and surrounding countries, then color the map according to directions.
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Light Bounce

For Teachers 9th - 11th
Students solve problems involving triangles. In this geometry lesson, students apply properties of triangles to find the missing angles and sides. They identify angles of parallel lines cut by a transversal.
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The Search for Pythagoras' Treasure

For Teachers 8th - 10th
Students identify and define properties of triangles. In this geometry lesson plan, students identify the missing sides and angles of right triangles. They use the rules of the Pythagorean Theorem to solve their problems.
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The Geometry of Means

For Teachers Higher Ed
In this geometry worksheet, students are given a rectangle and a square. They verify ratios when given equal perimeters or areas. Students are given adjacent squares. They find the distance between the centers, and identify the means...
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Why We Study Trigonometry

For Teachers 10th - 11th
Students investigate the different properties of trigonometry. In this precalculus lesson plan, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real...
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Fractions and Paper Folding

For Teachers 9th - 12th
High schoolers explore the concept of origami. For this origami lesson, students construct picture frames out of paper. High schoolers find the midpoint of the paper and determine the fractional area of the paper as it is folded.
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Pyramids- Slant Height and Altitude

For Teachers 8th - 10th
Students calculate the height and altitude of a pyramid. In this geometry instructional activity, students define the parts that make up a pyramid. They use the Pythagorean Theorem to find the missing parts of a pyramid.
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Mapping Japan

For Students 3rd - 8th
For this Japan worksheet, students label cities, islands, seas, and more. Students label 11 different areas of the country of Japan.
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Coin Hunt and It's Variations

For Teachers K
Students play a game designed to give them practice identifying coin names and values. They form two lines with coins spread out in between the teams and when the teacher calls out a coin, the two in front scramble to find the specified...
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This Building is Tall

For Teachers 9th - 12th
Students calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
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Functions and Slopes

For Students 12th - Higher Ed
In this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
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Hexagoning the Circle

For Teachers 6th - 9th
Young scholars explore similarity to see that the area of a circle should be a constant times the square of its radius. Students create a hexagon. Young scholars share their designs with the class.
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Measurement: Lesson 2

For Teachers 8th
Eighth graders complete math problems given in this lesson, where they find the perimeter and area of specific figures. They estimate the perimeter and area of shapes and figures and then complete the mathematical formula to find the...
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Proposed Problems

For Teachers 6th - 8th
In this math worksheet, young scholars find the solutions to the problems that involve solving equations with and without rational expressions.
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ndirect Measurement Technique: Using Trigonometric Ratios

For Teachers 9th
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
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Listen to a Shape

For Teachers 1st
First graders identify basic shapes (circle, square, rectangle, triangle) and describes the attributes of each. They use magazines to find examples of each shape, and then make a collage.
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The Trig to Soccer

For Teachers 9th - 10th
Students analyze angles applied to a penalty kick in a soccer game. Based on dimensions of the goal, and the penalty area, students determine where the better chance of scoring lies.
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The Chicken Run

For Teachers 4th
Fourth graders work in a group of 4 to make rectangle with a 12m length of string. They discuss its perimeter and how they would calculate its area. Then another group of 4 make another rectangle and estimate if the area would be greater...
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Fractions

For Teachers 1st
First graders are asked to put their fingers on their triangles that looks like the one that is on the overhead. They are asked to tell how they would write a fraction for this one part. Students go through step one until all of the...