Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
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Center of Population
Let the resource take center stage in a lesson on population density. Scholars use provided historical data on the center of the US population to see how it shifted over time. They plot the data on a spreadsheet to look the speed of its...
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Right Triangles and The Unit Circle
Young scholars solve right triangles using trigonometry. In this geometry instructional activity, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
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Forces in a Climb
Students use a NASA website to use a given formula to find acceleration and distance after a specific time and how it relates to engine propulsion.
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Loyalists
High schoolers explain why some colonists remained loyal to England during the American revolution. In this social studies lesson, students write a letter to an editor about their reasons for remaining loyal to England.
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You Can't Go Wrong with a Right Triangle 2
Upper graders use the properties of right angle trignonmetry to measure objects such as the school flagpole. They solve real world problems using these properties.
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American Indian Flute and Math
Students investigate the Math behind Musical instruments in this cross-curricular Math lesson on the Native American Flute and waveforms. The lesson can be accomplished in 6 days and includes an extensive materials list for successful...
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Trigonometry for AC Circuits
For this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
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Trigonometry Triangles
In this trig worksheet, 11th graders investigate the 6 trigonometry identities and their cofunctions. They use them to solve trig problems as related to right triangles. There are 5 questions with an answer key.
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Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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Applications of Triangles
Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Arc Length Lesson
Learners find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Exterior Ballistics
Young scholars explore velocity and trajectory. Using exterior ballistics rules, students predetermine the path of an artillery shell. Given equations and the firing angle, young scholars determine the velocity and horizontal travel. ...
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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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Unit Circle
In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle. The four page worksheet contains a combination of twenty multiple choice and free response problems. Answers are provided.
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Physics: Angular Solution of Hydrogen Atom
Students discover the angular solution of hydrogen activity. Depending on the undergraduate course, this activity can illustrate eigenvalue problems, to introduce Shrodinger's equation and particle wave duality, or to introduce...
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Exploring Centers of Triangles
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
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Angular Solution of Hydrogen Atom
Students participate in an angular solution of hydrogen activity. Using this activity, students also illustrate eigenvalue problems applied in mathematics. They explore Schrodinger's equation and particle wave duality.
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Forces in a Climb - Vectors
High schoolers read Forces in a Climb from the Beginner's Guide to Propulsion, and explain each of the formulas using vectors.
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Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
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Worksheet 38 Practice Exam 4
In this math worksheet, students solve the homogeneous endpoint heat conduction problem for a rod of length π/2 and initial temperature distribution. They also find the steady state temperature on a disk.
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Sled Kites and Trigonometry
Pupils study the history of kites and their fundamental properties. In this kites lesson students divide into teams and build and fly kites.
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Triangle and Circle Trigonometry
In this Pre-calculus/Trigonometry worksheet, students apply advanced triangle and circle trigonometry to solve application problems. The three page worksheet contains sixteen problems. Answers are not included.
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Whatcha Gunna Do When the Hulkster's Measuring Too??
Students measure using tools they have made. For this algebra lesson, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.