EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They eventually find that squaring...
EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Curated OER
Central Valley Math Project
Middle schoolers study the Pythagorean Theorem. They describe what it means to square a number. Pupilsuse the Pythagorean Theorem to prove the sides of given triangles, and use geometric pieces of paper to create a right triangle and...
Curated OER
Rules for Differentiation
Twelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...
Curated OER
Distance Formula
Students calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
How Life on Earth Began
Seventh graders investigate the concept of evolution and how it was a mechanism for the foundation of life on Earth. They conduct research and attempt to make cognitive connections with the evidence to agree with the presupposition of...
Curated OER
Precalculus Exam
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
EngageNY
Arcs and Chords
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
EngageNY
Solve for Unknown Angles—Angles and Lines at a Point
How do you solve for an unknown angle? In this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
EngageNY
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
Curated OER
Why Plus C is important.
In this calculus worksheet, students solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.
Curated OER
Complex Analysis: Theorems Following Cauchy's Integral Formulas
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Curated OER
Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula activity, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
Curated OER
The Product and Quotient Rules
For this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
Curated OER
The Product and Quotient Rules
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
Curated OER
Crystals: Geometry and Groups
Learners discuss the importance of examining crystals and experiment growing them. In groups, they complete a project in which they use groups in geometry just like crystallographers. They practice solving the groups and proofs and...
Curated OER
Worksheet 36
In this math worksheet, students apply the rules of Calculus to determine if each statement is true or false. If it is false they rewrite the mathematical proof to make it true.
Curated OER
Product Rule
Students define the product rule and use it to solve problems. In this calculus lesson plan, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by...
College Board
Seeing Is Believing
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Curated OER
The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
Curated OER
Motion in a Circle
Students study about deriving centripetal acceleration for motion at constant speed around a circle.