Worksheet
Curated OER

PDF's and PMF's

For Students 10th - 11th
In this probability worksheet, students solve for the area under the frequency histograms. They identify the area using the derivative. There are 3 questions. 
Lesson Plan
Curated OER

The Chain Rule

For Teachers 12th
Twelfth graders investigate the chain rule and use it to solve functions. In this calculus lesson, 12th graders apply the chain rule to problems with powers, and product rule. They practice with lots of examples before doing it on their...
Worksheet
Curated OER

Calculus Practice BC

For Students 12th - Higher Ed
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
Lesson Plan
Curated OER

Design a Reef!

For Teachers 6th - 8th
Students explore coral reef ecosystems.  In this ecosystems science lesson, students research coral reef ecosystems to determine the major functions the participating organisms must perform.  Students construct a miniature...
Worksheet
Curated OER

Further Differentiation

For Students 11th - Higher Ed
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Worksheet
Curated OER

Scientific Notation, Significant Figures and the Factor-Label Method of Solving Problems

For Students 9th - 12th
In this scientific notation, significant figures, and factor-label method, students solve 1 problem where they perform mathematical functions and identify their answer in scientific notation with the proper number of significant figures....
Worksheet
Curated OER

Taylor and Maclaurin Series

For Students 11th - 12th
In this Taylor and Maclaurin series activity, students answer 10 questions about Taylor and Maclaurin series.  Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
Lesson Plan
Curated OER

Comprehension of Word Problems

For Teachers 3rd
Third graders explore math functions by completing a worksheet in class. In this word problem solving lesson, 3rd graders read a book titled Counting on Frank by Rod Clement and utilize the information in the story to answer study...
Lesson Plan
Curated OER

Parametric Races & Slopes

For Teachers 9th - 12th Standards
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Lesson Plan
Curated OER

Worksheet 17-Fall 1995

For Teachers Higher Ed
In this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
Lesson Plan
EngageNY

Graphing Quadratic Equations from the Vertex Form

For Students 9th - 10th Standards
Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This instructional activity connects transformations to the vertex form of a quadratic equation. 
Lesson Plan
EngageNY

Relationships Between Two Numerical Variables

For Teachers 9th - 10th Standards
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
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. 
Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Lesson Plan
EngageNY

Recursive Formulas for Sequences

For Students 9th - 10th Standards
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
Lesson Plan
EngageNY

When Can We Reverse a Transformation? 2

For Teachers 11th - 12th Standards
The second lesson plan on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding...
Lesson Plan
NOAA

Importance of Deep-Sea Ecosystems – The Benthic Drugstore

For Teachers 9th - 12th Standards
You never know what you will find next in the deep sea ecosystem. So far, scientists have found items that work as anti-tumor agents, anti-inflammatory agents, agents that stop uncontrolled cell division, and much more. The lesson begins...
Lesson Plan
EngageNY

One-Step Equations—Multiplication and Division

For Teachers 6th Standards
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
Lab Resource
Royal Society of Chemistry

Green Plastics—Chemistry Outreach

For Teachers 9th - Higher Ed Standards
How do green plastics reduce waste and environmental pollution? Budding scientists create and test a variety of compounds used in green plastics during an insightful experiment. Beginning with startling statistics and ending with...
AP Test Prep
College Board

2001 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...
AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
AP Test Prep
College Board

2009 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
Lesson Plan
Curated OER

The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...