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Curated OER
PDF's and PMF's
In this probability worksheet, students solve for the area under the frequency histograms. They identify the area using the derivative. There are 3 questions.
Curated OER
The Chain Rule
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...
Curated OER
Calculus Practice BC
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.
Curated OER
Design a Reef!
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...
Curated OER
Further Differentiation
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...
Curated OER
Scientific Notation, Significant Figures and the Factor-Label Method of Solving Problems
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....
Curated OER
Taylor and Maclaurin Series
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.
Curated OER
Comprehension of Word Problems
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...
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Parametric Races & Slopes
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.
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Worksheet 17-Fall 1995
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
EngageNY
Graphing Quadratic Equations from the Vertex Form
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.
EngageNY
Relationships Between Two Numerical Variables
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...
EngageNY
Obstacles Resolved—A Surprising Result
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.
EngageNY
Lines That Pass Through Regions
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...
EngageNY
Recursive Formulas for Sequences
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...
EngageNY
Exploiting the Connection to Trigonometry 2
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...
EngageNY
When Can We Reverse a Transformation? 2
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...
NOAA
Importance of Deep-Sea Ecosystems – The Benthic Drugstore
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...
EngageNY
One-Step Equations—Multiplication and Division
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...
Royal Society of Chemistry
Green Plastics—Chemistry Outreach
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...
College Board
2001 AP® Calculus AB Free-Response Questions
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...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
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...
Curated OER
The Apple Orchard Problem
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...