Lesson Plan
EngageNY

The Euclidean Algorithm as an Application of the Long Division Algorithm

For Students 6th Standards
Individuals learn to apply the Euclidean algorithm to find the greatest common factor of two numbers. Additionally, the lesson connects greatest common factor to the largest square that can be drawn in a rectangle.
Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
Lesson Plan
Curated OER

Systems of Equations and Real Life

For Teachers 9th - 12th
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your high schoolers reside. The class relates properties of equations to solving for...
Worksheet
Curated OER

Applications of Derivatives: Newton's Method

For Students Higher Ed
In this derivative worksheet, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page worksheet contains four problems.
Worksheet
Curated OER

Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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

The Volume Formula of a Pyramid and Cone

For Teachers 9th - 10th Standards
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...
Lesson Plan
EngageNY

Systems of Equations Leading to Pythagorean Triples

For Teachers 8th Standards
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students Higher Ed
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
Lesson Plan
EngageNY

Families of Parallel Lines and the Circumference of the Earth

For Students 9th - 10th Standards
How do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the...
Assessment
EngageNY

End-of-Module Assessment Task - Grade 8 Mathematics (Module 3)

For Students 8th Standards
Everything the class knows about similarity in one small package. The last portion of a 16-part series is a three-question assessment. In it, pupils demonstrate their application of similar figures and their associated...
Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first lesson plan in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the...
Lesson Plan
EngageNY

Law of Cosines

For Teachers 11th - 12th Standards
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
Lesson Plan
EngageNY

Applying the Laws of Sines and Cosines

For Students 9th - 10th Standards
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in activity 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
Lesson Plan
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EngageNY

Solving General Systems of Linear Equations

For Teachers 11th - 12th Standards
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
Lesson Plan
EngageNY

Putting the Law of Cosines and the Law of Sines to Use

For Teachers 11th - 12th Standards
Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...
Interactive
CK-12 Foundation

Length of a Chord: Distance Across a Ferris Wheel

For Students 9th - 12th Standards
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
Lesson Plan
EngageNY

Points of Concurrencies

For Teachers 9th - 10th Standards
You say that perpendicular bisectors intersect at a point? I concur! Learners investigate points of concurrencies, specifically, circumcenters and incenters, by constructing perpendicular and angle bisectors of various triangles.
AP Test Prep6:53
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Flipped Math

Calculus AB/BC - Rates of Change in Applied Contexts Other Than Motion

For Students 10th - 12th
Stay a while—and learn about rates of change. Scholars learn about rates of change not related to motion by watching an informative video. They see how to interpret derivatives in different contexts, paying particular attention to...
Lesson Plan
EngageNY

Review of the Assumptions (part 2)

For Students 9th - 10th Standards
Is the amount of information getting overwhelming for your geometry classes? Use this strategy as a way to organize information. The resource provides a handout of information studied in relation to triangle congruence. It includes a...
Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
Handout
National Institute of Open Schooling

Compounds of Carbon Containing Halogens (Haloalkanes and Haloarenes)

For Students 9th - 12th Standards
Halogens comes from a Greek word which translates to make salt. Lesson 27 in the series of 36 teaches pupils about halogens. Pupils read, discuss, and answer questions in order to learn about haloalkanes and haloarenes. From defining...
Handout
National Institute of Open Schooling

Compounds of Carbon Containing Nitrogen

For Students 9th - 12th Standards
Amines are vital to humans because they help form amino acids, the building blocks of proteins. The 30th lesson in a series of 36 specifically focuses on the organic compounds that contain nitrogen. Learners classify amines and nitro...
Worksheet
Curated OER

Applications of Taylor Polynomials

For Students 11th - Higher Ed
In this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.