EngageNY
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
Facing History and Ourselves
Identity and Labels
Scholars look at the connections between identity and labels, assumptions, and stereotypes, in a lesson that examines identity in the United States. To set the stage for a discussion of these connections, class members analyze a cartoon,...
West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The activity introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
West Contra Costa Unified School District
Law of Sines
One must obey the sine laws. A lesson plan introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson plan checks to see if the Law of...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Illustrative Mathematics
The Physics Professor
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
Illustrative Mathematics
Points on a Graph
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Kenan Fellows
Installing and Working with R Statistical Software
Save download time—install software now in preparation for future lessons. The R statistical software is a free program used by the Federal Reserve Bank and many companies. Bring the power of the software to your classroom to use in the...
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