Mathematics Assessment Project
Solving Problems with Circles and Triangles
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
National Council of Teachers of Mathematics
Scale Factor
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
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Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
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Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
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Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
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Pythagorean Theorem
In this measurement lesson plan, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.
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Applications of Triangles
Students apply the properties of a right triangle. In this triangle instructional activity, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Exploration of Trigonometry
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
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Rita's Ice Problem
In this algebra worksheet, 11th graders calculate how many different choices they can create making their icy. The have a choice of 26 different flavors of ice and 5 different flavors of ice cream. There is a solution to this problem.
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Concepts in Precalculus 1: Trigonometry
Students investigate trigonometry. In this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
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Depression and Elevation Angles
In this angles activity, high schoolers utilize trigonometry to determine angles of elevation and depression. There are 7 questions and some contain pictures.
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Area of a Triangle
In this geometry worksheet, students solve problems by finding the area of a triangle. They are given the sides and asked to solve using the Pythagorean Theorem. There are 72 problems.
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Trigonometry in Action
Young scholars examine how to apply the principles of trigonometry in authentic measurement situations. They work in groups to determine the height of an object such as a flag pole by determine the angle from their position to the top.
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Word Ladders
In this secondary mathematics worksheet, students follow Lewis Carroll’s rules to solve Word Ladders. The one page worksheet contains two word ladder problems. Solutions are provided.
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Solving Trigonometry Problems in Two and Three Dimensions
In this Pre-calculus/Trigonometry worksheet, students solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.
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Right Triangles and The Pythagorean Theorem
Learners play a game to reinforce concepts of the Pythagorean Theorem. In this geometry lesson, students find the missing angle and lengths of a right triangle. They use properties of trigonometry about sine, cosine and tangent to solve...
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Simple Harmonic Motion
Students solve problems involving graphs. In this calculus lesson, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Exploring Geometric Mean
Students solve problems using geometric means. In this geometry lesson, 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
Student identify the solution using geometric mean. For 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...
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La Toteca- A Tropical Paradise
Students collect data on the time of the ferry. In this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.
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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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BASEBALL HOME RUN
Young scholars determine whether a hit baseball is a home run or not by utilizing parametric equations to describe the path of the ball. They assess the importance of angles and velocity needed to hit a home run. In addition, in their...