Handout
Charleston School District

The Distance Between Points

For Students 8th - 10th Standards
Find the shortest distance from A to B using the Pythagorean Theorem! Scholars learn they can find the distance between two points by creating a right triangle using the horizontal and vertical lengths and applying the Pythagorean...
Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
Lesson Plan
EngageNY

Distance on the Coordinate Plane

For Students 8th Standards
Apply the Pythagorean Theorem to coordinate geometry. Learners find the distance between two points on a coordinate plane by using the Pythagorean Theorem. The vertical and horizontal change creates a right triangle, which allows...
Worksheet
Curated OER

Intermediate Value Theorem Problems

For Students 12th - Higher Ed
In this intermediate value theorem worksheet, students apply the intermediate value theorem in three problems and state the intermediate value theorem in another problem.
Worksheet
Curated OER

Complex Analysis: Residue Theorem

For Students Higher Ed
In this residue theorem, students classify singularities of functions and use the Cauchy Residue Theorem to evaluate integrals. This two-page worksheet contains approximately 14 problems.
Worksheet
Curated OER

Applying the Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
Worksheet
Curated OER

Discussion Sheet 7: Intermediate Value Theorem

For Students Higher Ed
In this intermediate value theorem worksheet, students use the intermediate value theorem to verify that equations are solvable. They find the slope, and determine the height and radius of given figures. Students complete rate and...
Worksheet
Curated OER

Intermediate Value Theorem

For Students 12th - Higher Ed
In this Intermediate Value Theorem learning exercise, students identify and explain a continuous function. They use the Intermediate Value Theorem to prove solutions of equations. This two-page learning exercise contains three problems.
Activity
Curated OER

Narrow Corridor

For Teachers 8th - 12th Standards
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
Lesson Plan
Willow Tree

Midpoint and Distance Formulas

For Students 8th - 11th Standards
The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula. 
Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Lesson Plan
EngageNY

Angle Sum of a Triangle

For Students 8th Standards
Prove the Angle Sum Theorem of a triangle using parallel line and transversal angle relationships. Pupils create a triangle from parallel lines and transversals. They find angle measures to show that the angles of a triangle must total...
Worksheet
Curated OER

Complex Analysis: Applications of Cauchy-Goursat Theorem

For Students Higher Ed
In this Cauchy-Goursat Theorem, students sketch and classify domains. They evaluate integrals and explore the analytic function. This two-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Complex Analysis: Cauchy's Second Residue Theorem

For Students Higher Ed
In this residue theorem instructional activity, students evaluate functions, they express functions in terms of a Laurent series, and recall the infinite sequence. This four-page instructional activity contains explanations and...
Worksheet
Curated OER

Multivariable Calculus: Green's Theorem

For Students Higher Ed
In this Green's Theorem instructional activity, students compute the value of the line integral. This two-page instructional activity contains explanations, examples, and three problems to solve.
Worksheet
Curated OER

Multivariable Calculus: Change of Variables Theorem

For Students Higher Ed
In this change of variables worksheet, students complete integral problems through the use of Jacobi's Theorem. They use various methods to convert from Cartesian coordinates to polar, spherical and cylindrical coordinates. This...
Worksheet
Curated OER

Linear Systems: Fundamental Theorem

For Students 12th - Higher Ed
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
Worksheet
Curated OER

Linear Systems: Fundamental Theorem

For Students Higher Ed
In this fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.
Worksheet
Curated OER

Part 3 of the Fundamental Theorem of Calculus

For Students Higher Ed
In this Fundamental Theorem of Calculus learning exercise, students find the solution of given functions. This one-page learning exercise contains five problems.
Worksheet
Curated OER

The Fundamental Theorem and IVP's

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
Worksheet
Curated OER

Linear Pair Theorem

For Students 8th - 10th
In this linear pair theorem activity, students determine the measure of 6 linear pairs given the measure of one of the pairs.
Unit Plan
1
1
Mathematics Vision Project

Similarity and Right Triangle Trigonometry

For Teachers 10th - 12th Standards
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Assessment
Balanced Assessment

Refiguring Pythagoras

For Students 6th - 8th
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
Lesson Plan
EngageNY

Cones and Spheres

For Students 8th Standards
Explore methods for finding the volume of different three-dimensional figures. The 20th lesson in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...

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