Lesson Plan
Illustrative Mathematics

Seven Circles III

For Teachers 9th - 11th Standards
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
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Triangle worksheets

For Students 10th
In this geometry worksheet, 10th graders explore triangle properties, including the sum of the measures of the angles of a triangle, the triangle inequalities, properties of isosceles triangles, properties of congruent triangles, and...
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Exploring Trigonometric Ratios

For Teachers 10th - 12th
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.
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Year 10 Mathematics Triangle Test

For Students 11th - Higher Ed
In this math worksheet, students find the solutions to the missing angles and sides of the triangles using the correct trigonometric ratios.
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Plain Figures And Measuring Figures

For Teachers 7th
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
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Circumscribed Polygons

For Teachers 9th - 10th
Students investigate polygons and construct ferris wheels. In this geometry lesson plan, students create a circle and differentiate properties of circles and polygons. They compare the relationship between angles and circumscribed polygons.
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2-D Geometry

For Teachers 3rd
Third graders describe and compare attributes of two-dimensional shapes. They explain geometric terms, angles and shapes. Students demonstrate each vocabulary word with their body and they mirror the body positions associated with each...
Lesson Plan
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Regular Polygons

For Teachers 5th
Fifth graders explore polygons. In this math instructional activity, 5th graders find examples of regular polygons in the classroom and measure the sides of figures to determine if they are regular polygons.
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Tiling the Plane

For Teachers 5th
Fifth graders use pattern blocks and triagular grid paper to reivew shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked if they comprehend what a...
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Trigonometry Multiple Choice

For Students 9th - 10th
In this geometry worksheet, learners solve word problems. They find the height and distance of triangular measurements. They identify missing angles using triangular properties. There are 10 questions.
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Inscribed Quadrilaterals and Parallelograms

For Teachers 9th - 10th Standards
Students differentiate between inscribed quadrilaterals and parallelograms. For this geometry lesson, students identify the shaped of the polygons when it is inscribed inside of a circle. They calculate the missing angles of the...
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Quadrilaterals and Other Polygons: Homework

For Students 5th - 6th
In this polygons worksheet, learners classify each polygon in as many ways as possible. Students then write polygon or not a polygon to classify each figure and find the measure of the missing angles. Learners finish with one word problem.
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Quadrilaterals and Other Polygons

For Students 5th
In this polygon worksheet, 5th graders name 6 polygons, tell if each one is a regular polygon or not and tell if it is a special quadrilateral.
Lesson Plan
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Problem Solving Using Power Polygons

For Teachers 3rd - 10th
Students investigate geometric shapes by creating figures on a plane. In this polygon lesson, students complete a worksheet based on the angles in a power polygon. Students identify the different types of polygons and define their...
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Strongest Polygon

For Teachers 9th - 12th
Students define and identify shapes by name. In this geometry lesson, students construct, identify and compare polygons based on the number of sides. They classify each shape based on their angle sum theorem.
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Triangles Introduction

For Teachers K - 3rd
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....
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Right Triangles and Unit Circles

For Teachers 9th - 11th
Students evaluate the six trigonometric values of a trig function. In this trigonometry lesson plan, students use the Unit Circle to find the values of right triangles and their angles. They identify an angle of elevation and...
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Polygons

For Students 5th - 7th
In this polygon worksheet, students draw various polygons according to given specifications and find angle sums. A website reference for additional resources is given.
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Triangle Inequalities

For Students 9th - 10th
In this geometry worksheet, students use the inequality theorem to figure out if three segments will make a triangle. They are given the measures of two segments and must figure out the third segment on their own. There are 20 questions.
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Elevation at its Peak

For Teachers 9th - 12th
Students pretend they are hiking up a mountain. They practice making calculations on angles and elevation. They use topographic maps to estimate distances and trigonometric ratio methods.
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Pythagorean Theorem

For Teachers 9th - 11th
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
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Exploring Geometric Mean

For Teachers 8th - 10th
Students solve problems using geometric means. In this geometry instructional activity, students create altitudes in right triangles. They use Cabri software to move the triangle around and observe different sides and angles.
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Exploring Geometric Mean

For Teachers 8th - 10th
Student identify the solution using geometric mean. In this geometry lesson, students create right triangles where the altitude of the triangle is the side containing the right angle. They modify shapes using Cabri software and observe...
Interactive
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Geometric Mean Multiple Choice

For Students 9th - 10th
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.