Virginia Department of Education
The Pythagorean Relationship
Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...
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Circles and Cylinders
In this circles and cylinders worksheet, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find...
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Investigating Triangles 1
Students independently investigate the Pythagorean Theorem. They are given a set of triangles that involve whole number Pythagorean Triples. The main focus of the lesson is exploration rather than discovering the Pythagorean Theorem.
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Investigating the Idea of Sin
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
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Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students 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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Multicultural Math Project
Sixth graders examine where mathematics came from. In this Math History lesson plan, 6th graders complete various activities to understand mathematical reasoning. Students complete critical thinking questions.
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Area, Perimeter and Volume
In this area, perimeter and volume learning exercise, students solve and complete 12 various types of problems. First, they calculate the value for each variable in the triangle shown. Then, students find the distance of the ladder...
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Calculating the Hypotenuse
In this triangles worksheet, students use Pythagoras' theorem to find the hypotenuse of a triangle. Students solve 20 problems and also calculate the length of the diagonals in rectangles. This page is intended for online use but may be...
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Plenty of Pythagoras
Using a twelve foot knotted rope, learners form a 3-4-5 right triangle. Following a discussion of observations about the lengths of the sides of the triangle, students use grid paper, scissors and a centimeter ruler to draw and measure...
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Triangle Exercises
In this math worksheet, learners look for the solutions to the various problems involving triangles. They focus upon finding the angles and lengths of sides.
University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
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Review of Triangles
Students investigate the Pythagorean Theorem. In this geometry lesson, students define angles and sides of right triangles. They calculate the area and surface area using formulas derived by the Pythagorean Theorem.
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Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Graphs
In this graphing worksheet, 9th graders read one page of graphing examples and complete 8 exercise problems. Each problem involves graphing and coordinates.
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Review of Trig Ratios
In this trigonometric ratios worksheet, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of...
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Trigonometry Applications
In this geometry worksheet, 10th graders solve application word problems involving the use or right triangle trigonometry, including angle of elevation or depression. The one page interactive worksheet contains five questions. Hints,...
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Tilted Squares and Right Triangles
Students investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
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Constructions and Angles
For this triangle constructing and classifying worksheet, students read through a tutorial on triangles and angles. Then, students complete 17 exercises in which they answer questions about angles and triangles. By clicking on the...
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Circles and Their Equations
In this circle and their equations worksheet, students read about circles and algebraic equations, look at examples and complete exercises.
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Numerical Analysis: Introduction to Root Finding
For this introduction to root finding worksheet, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page worksheet contains approximately ten problems.
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Linking Kwanzaa to Technology and History
Seventh graders use the Internet to research the holiday of Kwanzaa. Using the information, they create a brochure to promote the holiday to others. They email the information to a friend to end the lesson.
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MOTION IN A CIRCLE
Students explore uniform circular motion, and the relation of its frequency of N revolutions/sec with the peripheral velocity v and with the rotation period T, and the "centripetal acceleration" of an object.
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Bill's Badge
Students explore the making of circles and concepts related to them in geometry. The project is inquiry based will focus upon students making their own nametags. The construction is ideal for hands on students.
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Rings and Diamonds
Fifth graders solve a problem by using systematic problem solving strategies. They determine if there is enough information to solve the problem. They solve a problem involving geometric shapes and area.
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