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Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students investigate the properties of right triangles. For 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 activity, 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 against a wall...
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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, students 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, students 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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Graphs
In this graphing activity, 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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Constructions and Angles
In this triangle constructing and classifying instructional activity, 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...
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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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Right Triangles
Learners classify triangles and make connections regarding angle measurements and attributes of acute, right, and obtuse triangles. They listen to teacher define and explain triangles. Everyone imagines a place where a broken wing for a...
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Using Trigonometry
Fifth graders explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit and looking at different ways of practicing the new skills. Students...
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Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
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Trigonometric Applications Outside the Classroom
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
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Motion in a Circle
Students study about deriving centripetal acceleration for motion at constant speed around a circle.
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Coordinates
Students use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.
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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. They examine how uniform circular motion is a type of accelerated motion.
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