Worksheet
Curated OER

Complex Analysis: Cauchy's Residue Theorem

For Students Higher Ed
In this residue theorem worksheet, students find the poles of a function classify all singularities of a function, and compute the residues of that function. This two-page worksheet contains explanations and examples, as well as five...
Worksheet
Curated OER

Rational Zero Theorem

For Students 11th
For this rational zero theorem worksheet, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function....
Worksheet
Curated OER

Pythagoras' Theorem

For Students 5th - 10th
In this Pythagoras' Theorem activity, students solve problems having to do with square roots and numbers to a certain power. Students match up the answers for 30 problems.
Lesson Plan
Curated OER

Operations of Complex Numbers and Intro to DeMoivre's Theorem

For Teachers 9th - 10th
Students solve problems with complex numbers. For this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
Lesson Plan
Curated OER

The Proof of the Century!

For Teachers 7th - 12th
Students do Web research in the field of mathematics. They explore mathematical proofs and apply them to the Pythagorean theorem. They also explore the general ideas of Fermat's Last Theorem
Lesson Plan
Curated OER

Picking Pythagoras

For Teachers 6th - 9th
Students discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
Lesson Plan
Curated OER

#3 Differential Calculus

For Teachers 12th - Higher Ed
Young scholars create models of the Mean Value Theorem.  In this Mean Value lesson plan, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of...
Lesson Plan
Curated OER

Inequalities and Triangles

For Teachers 9th - 10th
Students prove and apply theorems of triangle inequality and hinge theorem. In this geometry lesson plan, students will discuss which triangle is bigger and why. They will use theorems, such as Exterior Angle Inequality or the...
Interactive
Curated OER

Th'evenin's, Norton's, and Maximum Power Transfer Theorems

For Students 11th - 12th
In this scientific theory worksheet, the student is asked 46 questions about equivalent circuits designed with differently constructed power sources.  The answers are available if the student is working online.
Worksheet
Curated OER

Intervals

For Students 9th - 12th
In this intervals activity, high schoolers determine the coordinates at a point of inflection.  They compute the deritative of a function and sketch curves that satisfy given conditions.  Students solve equations using the Mean...
Lesson Plan
Curated OER

Perpendicular Bisector Theorem

For Teachers 9th - 12th Standards
High schoolers construct perpendicular bisectors using Cabri Jr. on their graphing calculator. They then construct conditional statements about perpendicular bisectors along with their converse, inverse, and contrapositive.
Worksheet
Curated OER

Expressions and Formulas

For Students 9th
In this expressions and formulas worksheet, 9th graders solve and complete 7 different types of problems related to various expressions and formulas. First, they define order of operations and explain why it is used. Then, students list...
Worksheet
Curated OER

Modeling a Planetary Nebula

For Students 12th - Higher Ed
In this modeling a planetary nebula worksheet, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points on the...
Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Worksheet
Curated OER

Superposition Theorem

For Students 9th - 12th
In this physics worksheet, students build a circuit based on the schematic diagram and solve the following questions about it. They calculate voltage, current and resistance of the circuits.
Lesson Plan
Curated OER

Squares and Square Roots

For Teachers 8th - 10th
Young scholars find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Young...
Worksheet
Curated OER

Number & Operations

For Students 8th - 9th
For this number and operations worksheet, students solve and complete 3 different sections of one problem that uses the Pythagorean theorem to solve. They use the model illustrated to determine the meaning of the Pythagorean theorem....
Lesson Plan
EngageNY

Criterion for Perpendicularity

For Students 9th - 12th Standards
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
Assessment
Charleston School District

Pre-Test Unit 8: Geometry Applications

For Students 8th Standards
What does a squared and b squared make? C squared of course! The pre-test assesses eighth graders' knowledge of the Pythagorean Theorem, application of the Pythagorean Theorem, and finding volumes of solids. 
Lesson Plan
EngageNY

Obstacles Resolved—A Surprising Result

For Students 10th - 12th Standards
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors. 
Assessment
Charleston School District

Review Unit 8: Geometry Applicaitons

For Students 8th - 10th Standards
Pupils complete a review worksheet that highlights the key problems from the first eight lessons in the series. Topics include the Pythagorean Theorem and its converse, as well as finding volume of three-dimensional figures.
Assessment
Inside Mathematics

Rugs

For Teachers 8th Standards
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Activity
Teach Engineering

Catching the Perfect SAR Waves!

For Students 9th - 11th
Zero in on an interesting resource involving radar technology. Groups construct a radar sensing unit and learn to calibrate the system. Using the radar system and the Pythagorean Theorem, they calculate distances between objects.
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 6th - 8th
Students engage in a study of the Pythagorean Theorem to classify the hypotenuse of a triangle. The teacher uses examples from the instructional activity to aid students in comprehension of solving problems that involve problem solving....

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