Curated OER
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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Dizzy Heights
Fifth graders explore ways to measure the height of an inaccessible object. They measure lengths using a tape measure or ruler. Students measure angles using a protractor and estimate heights.
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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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Investigating the Idea of Cos
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).
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Square Pegs in Round Holes
Sixth graders problem solve the square peg in the round whole problem by applying knowledge of the formulas for the areas of the circle and the square. They decide on a problem solving strategy based on logical reasoning.
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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
Learners 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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