Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
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Measure Up!
Young scholars examine parallax and angular measurements. In this investigative lesson students calculate distances of objects and map their results.
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Paper Architecture - Designing Human Spaces
Students design, then construct an architectural structural model of a two-person dwelling. Then, Students, in groups, plan a city layout.
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ndirect Measurement Technique: Using Trigonometric Ratios
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
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MT-A141 PreCalculus: Worksheet 6.2/6.3
In this precalculus worksheet, students use their graphing calculator to determine the coordinates for given functions. They determine the values for cosine, sign, tangent, and secant of given equations. Given an angle of elevation,...
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The North (Wall) Star
Students engage in a instructional activity which shows them that celestial navigation is the art and science of finding one's geographic position by means of astronomical observations, particularly by measuring altitudes of celestial...
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Trigonometry Multiple Choice
In this geometry worksheet, students solve word problems. They find the height and distance of triangular measurements. They identify missing angles using triangular properties. There are 10 questions.
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Anza and Font in Search of Latitude
This is an integrated lesson that incorporates Social Studies, Science, and Mathematics. In Social Studies, 7th graders complete an online interview and complete an online worksheet about latitude of sites on the Anza trail. In Science...
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Slope and Tangent
Learners differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
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Catapults!
Students work together to discover the relationship between the angle of catapults and the flight of different objects. They discover the heavier the object the more force is needed. They examine how engineers use this information to...
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Tiger Woods Physics
Students comprehend the independence of vertical and horizontal velocity vectors. They calculate height, time of flight and range of projectile objects. Students perform derivation for range of same plane projectile motion. They perform...
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Wind Tunnels
Pupils build a simple wind tunnel and test out 2 glider wing shapes at different angles of attack. They record their observations and results just as engineers do. There also is a "virtual wind tunnel" they can try to test aerodynamic...
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The Tilting Earth
Fourth graders use a styrofoam ball on a stick to represent earth and a light bulb in the center of the room to represent the sun. They walk around the light, holding their sticks at an angle to show the tilt of the earth's axis. They...
Space Awareness
Navigating with the Kamal
Historians have proven that as early as 1497 skilled navigators were using a kamal to sail across oceans. Scholars learn about navigation tools and astronomy before building their own kamals. They then learn how to use it to determine...
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Atomic Absorption Determination of Zinc and Copper in a Multivitamin
Advanced lab apprentices prepare zinc and copper solutions to which they will compare the same minerals from a multivitamin. Using absorption spectroscopy, they analyze the contents of the multivitamin for concentration. This lab can be...
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The Catcher in the Rye: List-Group-Label Activity
Here's a list-group-label vocabulary activity for The Catcher in the Rye that will knock readers out, it really will! Groups sort, label, and define a list of words taken from Salinger’s novel. Complete directions for the activity, the...
Dick Blick
ArtStraw Architecture
While architects and engineers don't often build with plastic straws and foam board, the same principles still apply. Challenging both the creativity and critical thinking of students, this engaging design project is perfect for art and...
Bowels Physics
Newton's Second Law
Were it not for Sir Newton, our understanding of physics and matters of the world would be drastically different. Present your class with detailed information of Newton's Second Law as they explore the concepts of mass and acceleration....
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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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Altitude Locator
Students use protractors, strings, and straws to construct a device used to determine the height of tall objects. In this applied geometry lesson, students use common objects to construct a tangent height guide. They use principles of...
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Solving Right Triangles
Students investigate the basic trigonometric functions. In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions. The lesson includes an application problem in which...
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Pike's Peak Problem
In this algebra worksheet, students answer a word problem about a distance-rate multiplied by times problem. They discuss slope and altitude. There is an answer key with this problem.
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Vertical Tower 2
In this trigonometry worksheet, students prove that for the given conditions of the problem that cos y = cos2 x. The one page worksheet contains one problem with the solution.
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Eratosthenes
Students examine what Eratosthenes is and the history behind him. In this earth lesson students complete a hands on activity to repeat Eratosthenes' experiment.