Lesson Plan
EngageNY

Modeling an Invasive Species Population

For Students 9th - 10th Standards
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 
Lesson Plan
EngageNY

Integer Exponents

For Teachers 9th - 12th Standards
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
Lesson Plan
Curated OER

Infestation to Extermination

For Teachers 9th - 12th Standards
Students solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 2)

For Teachers 9th - 10th Standards
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...
Lesson Plan
Curated OER

Exponential Decay

For Teachers 10th - 12th Standards
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and...
Worksheet
Curated OER

Analyze This Function

For Students 11th - 12th
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 9th - 12th
Students explore the concept of logarithms.  In this logarithms activity, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...
Worksheet
Curated OER

Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
Worksheet
Curated OER

New Functions From Old, Part 1

For Students Higher Ed
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
Worksheet
Curated OER

Logarithmic Forms

For Students 11th - Higher Ed
There are 10 different problems related to particular logarithmic forms for learners to solve. They express each exponential form equation given in logarithmic form and write out the opposite of each form as illustrated.
Worksheet
Curated OER

Math 155 - Worksheet 10. Logarithm

For Students Higher Ed
In this logarithm worksheet, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page worksheet contains six...
Assessment
Concord Consortium

Cultural Growth

For Students 11th - 12th Standards
Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.
Lesson Plan
Curated OER

Modeling Natural Disaster with Mathematical Functions

For Teachers 9th
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Worksheet
Curated OER

Integrating Special Functions

For Students 11th - Higher Ed
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.
Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The 15th installment of a 35-part module is a mid-module assessment task. Covering concepts in the first half of the module, the task acts as a formative assessment, providing you with valuable information on how learners are doing.
Lesson Plan
EngageNY

Solving Radical Equations

For Students 10th - 12th Standards
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Lesson Plan
Curated OER

#3 Differential Calculus

For Teachers 12th - Higher Ed
Young scholars create models of the Mean Value Theorem.  In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the...
Lesson Plan
Curated OER

Comparing Investments

For Teachers 9th - 12th Standards
Money, money, money. A complete lesson that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and...
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
Lesson Plan
Curated OER

Squaring Function of Natural Numbers

For Teachers 8th
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
Interactive
Curated OER

Estimating the Square- Root of Ten

For Students 9th - 11th
In this algebra worksheet, students estimate the square root. They rewrite the root as an exponential function and solve. They use the correct function notation. There are 10 questions.
Lesson Plan
EngageNY

Why Were Logarithms Developed?

For Teachers 10th - 12th Standards
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...