Worksheet
Curated OER

Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
Worksheet
Curated OER

Mean Value Theorem - An Application

For Students Higher Ed
In this mean value worksheet, students read a short story problem about driving from one city to another. They use the given information and the mean value theorem to determine why an officer stopped the driver and issued a ticket. ...
Worksheet
Curated OER

Mean Value Theorem

For Students 12th - Higher Ed
In this Mean Value Theorem, students determine values of a function. They identify the domain, main, maximum and minimum values of a function. This two-page worksheet contains three problems.
Worksheet
Curated OER

Pythagorean Theorem

For Students 5th - 7th
In this Pythagorean Theorem worksheet, students find the lengths of sides for 8 triangles. A website reference for additional activities is given.
Worksheet
Curated OER

Pythagorean Theorem

For Students 4th - 5th
In this Pythagorean Theorem instructional activity, students find the length of sides of a set of 8 triangles. A website reference for additional activities is given.
Worksheet
Curated OER

Pythagorean Theorem

For Students 4th - 6th
In this Pythagorean Theorem worksheet, students find length of sides for 8 triangles.  A website reference is included for additional resources.
Worksheet
Curated OER

Pythagorean Theorem

For Students 4th - 6th
In this Pythagorean Theorem learning exercise, students find lengths of sides of 8 triangles. A website reference for additional resources is given.
Lesson Plan
Texas Instruments

Mean Value Theorem

For Teachers 9th - 12th Standards
Students calculate the slopes of secant lines. In this calculus instructional activity, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
Lesson Plan
Curated OER

The Pythagorean Theorem

For Teachers 7th - 10th
Students research Pythagoras and learn how to apply his theorem. They solve real life problems using the theorem and demonstrate knowledge of exponents, equations, and radicals. Students include diagrams in their research papers.
Lesson Plan
Curated OER

Isosceles Triangle Theorem

For Teachers 8th - 10th
In this geometry worksheet, students differentiate between regular triangles and isosceles triangles. They apply the converse theorem and the vertex angle. There are eleven questions with an answer key.
Worksheet
Curated OER

Countdown Challenge: Triangle Inequality Theorem

For Students 7th - 8th
In this triangle inequality worksheet, students test the Triangle Inequality Theorem. They measure the sides of given triangles, identify the type of triangle, and name angles in the triangle. The one-page worksheet contains 36 problems.
Worksheet
Curated OER

Length of a Line Segment - Distance

For Students 8th - 9th
Pupils determine the distance between two given points. They use the distance formula to determine line length, as well as the length of the radius of a circle. The Pythagorean Theorem may also be used to determine line length. This...
Worksheet
Curated OER

Synthetic Division

For Students 10th - 11th
For this algebra worksheet, learners use synthetic division to divide polynomials and use the Remainder Theorem to evaluate the functions at the given value.  The one page worksheet contains eleven problems.  Answers are...
PPT
Curated OER

Mathematics - Squares, Square Roots

For Teachers 7th - 9th
Looking for a quick introduction or review for area formulas?  Terminology and formulas for the area of squares, rectangles and triangles is presented. Connections with exponents and the Pythagorean Theorem are demonstrated.
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Lesson Plan
EngageNY

Secant Angle Theorem, Exterior Case

For Teachers 9th - 12th Standards
It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous lesson to investigate angles created by secant lines that intersect at a point exterior to the circle....
Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Ladders

For Students 8th - 12th Standards
Young mathematicians to the rescue! Pupils use an interactive to find lengths relating a ladder against a building. The problems involve determining how long a ladder must be to reach a given floor to what floor can a given ladder reach.
Instructional Video17:49
2
2
Flipped Math

Remainder Theorem

For Students 9th - 12th Standards
Don't divide! Pupils view three examples relating the remainder of a polynomial division and the polynomial function evaluated at a related value. Learners notice how to find a missing coefficient in a polynomial given the remainder of a...
Lesson Plan
EngageNY

The Binomial Theorem

For Teachers 11th - 12th Standards
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
Lesson Plan
Curated OER

One of the Many Ways

For Teachers 9th - 12th Standards
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
Lesson Plan
Curated OER

Analyzing Congruence Proofs

For Teachers 9th - 12th Standards
Looking at numerous examples of triangles, each with different properties, geometers develop their understanding of congruency. They use the notation of a counter-example to disprove certain conjectures and prove geometric theorems and...
AP Test Prep
College Board

Differentiability of Piecewise Defined Functions

For Teachers 10th - 12th
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
Lesson Plan
Curated OER

Isosceles Triangle Theorem

For Teachers 8th - 9th
For this geometry worksheet, students differentiate between isosceles and regular triangles. They calculate the area and perimeter of the triangle. There are eleven questions with an answer key.
PPT
Curated OER

The Four-Color Problem: Concept and Solution

For Teachers 8th - 12th Standards
Take a walk through time, 1852 to 1994, following the mathematical history and development of the Four-Color Theorem. Learners take on the role of cartographers to study an imaginary world of countries that need to be...

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