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Illustrative Mathematics

Converse of the Pythagorean Theorem

For Teachers 7th - 9th Standards
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...
Lesson Plan
Teach Engineering

Designing a Spectroscopy Mission

For Teachers 9th - 12th Standards
In this mind-bending activity, young engineers explore this question of whether or not light actually bends. Using holographic diffraction gratings, groups design and build a spectrograph. The groups then move on research a problem...
Activity
Teach Engineering

Stay in Shape

For Teachers 7th - 9th Standards
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
Lesson Plan
EngageNY

Informal Proof of the Pythagorean Theorem

For Students 8th Standards
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...
Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Students study the law of sine and cosine. For this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Lesson Plan
Curated OER

Altitude Tracking

For Teachers 6th - 8th
Students estimate the altitude of a rocket during several flights. They create their own altitude tracking devise. They examine and discuss their results at the end of the activity.
Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
Lesson Plan
Curated OER

Let the Sun Shine In: Energy Conservation

For Teachers 9th - 10th
Students create a project applying their math skills as they discuss energy conservation. In this geometry lesson, students define vocabulary relating to the environment and energy conservation. They construct a building that allow lots...
Lesson Plan
Curated OER

Applications of Triangles

For Teachers 9th - 11th
Students apply the properties of a right triangle. For this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
Lesson Plan
Curated OER

Triangle Inequality Theorem

For Teachers 8th - 10th
Students use the inequality theorem to solve triangles and their properties. In this geometry lesson, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make a...
Lesson Plan
Curated OER

How Tall is that Tree?

For Teachers 4th - 12th
Students apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.
Lesson Plan
Curated OER

Murder Mystery

For Teachers 4th - 12th
High schoolers examine how to capture foot prints while they simulate a criminal investigation. They discover how the clues are needed for identifying or eliminating murder suspects.
Lesson Plan
Curated OER

Attributes of Renewable Energy: From Nanopossibilities to Solar Power

For Teachers 9th - 12th
Students explore solar energy, why we use it and how we use it.  In this renewable energy lesson students compare active and solar techniques.
Lesson Plan
Curated OER

Taylor Polynomials

For Teachers 10th - 12th Standards
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
Lesson Plan
Curated OER

Can You Make a Hole in One?

For Teachers 8th - 11th
Learners relate miniature golf to reflection of an image. In this algebra lesson, students collect and graph data as they study linear equations. They apply properties of graphing to solve real life scenarios.
Lesson Plan
Curated OER

Pendulum 2

For Teachers 11th - 12th
Learners use math to help them discover the movement of a pendulum.
Worksheet
Curated OER

The Pythagorean Theorem

For Students 9th - 11th
In this geometry worksheet, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
Lesson Plan
Curated OER

This Building is Tall

For Teachers 9th - 12th
Students calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
Lesson Plan
Curated OER

Hot Wheels

For Teachers 7th - 9th
Students observe the action produced by toy cars. In this geometry lesson, students discuss motion and distance as they relate to the movement of a spherical object.They collect data and make conjectures based on their data.
Lesson Plan
Curated OER

Eratosthenes

For Teachers 7th - 12th
Students examine what Eratosthenes is and the history behind him.  In this earth lesson students complete a hands on activity to repeat Eratosthenes' experiment.
Lesson Plan
Curated OER

Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

That Mu You Do

For Teachers 9th - 12th
Students are told that the weight of a car is equal to its mass multiplied by the acceleration due to gravity. When a car is at react on a horizontal road, there must be a normal force with which the road pushes up on the car to keep it...
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Students determine how changes in the coefficients in a quadratic function affect its graph. They Solve a quadratic equations. Students Determine how to use the equation to determine the intercepts of a quadratic function. They...
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Students determine how changes in the coefficients in a quadratic function affect its graph. They determine how to use the equation to determine the intercepts of a quadratic function. Students identify the location of the intercepts...

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