Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations,...
Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
Radford University
Transformational Graphing in the Real World: Bacteria – Growth or Decay?
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Radford University
Are You Faster than Bacteria?
Just how fast does bacteria grow? Over the course of three lessons, pupils investigate exponential growth with the use of bacteria growth. During the lesson, bacteria from a cell phone is grown to make a connection to real life. Using...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Radford University
Feeding the World
Using technology, pupils find an exponential function to model the population growth of the US. With more information, learners derive the population growth formula for the world. Ultimately, they determine the amount of protein needed...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Math Planet
Math Planet: Algebra 1: Exponential Growth Functions
An exponential function is a nonlinear function that has the form of y=a*b^x, where a != 0, b > 0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an...
CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to analyze and graph exponential growth functions.
CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] Learn about exponential growth functions.
Oswego City School District
Regents Exam Prep Center: Exponential Growth and Decay
Find material to use when planning instruction on exponential growth and decay. A lesson offers several examples, graphs, and explanations, and there are two practice exercises and a group activity for testing and applying concepts learned.
Sophia Learning
Sophia: Exponential Growth and Decay
The tutorial explores exponential growth and decay. Definitions, formulas, and example problems are included in the learning resource.
Concord Consortium
Concord Consortium: Exponential Growth
Students learn about exponential growth in real-world situations.
CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] Learn about developing exponential growth models. Here you will explore the use of Algebra to match mathematical models to observed data from real-life situations.
Khan Academy
Khan Academy: Graphing Exponential Growth & Decay
Graph exponential functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Cuemath
Cuemath: Exponential Functions
In this lesson, discover the meaning of exponential functions, rules, and graphs along with some solved examples and a few practice questions to test your understanding.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Exponential Functions and Models
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
CK-12 Foundation
Ck 12: Algebra: Applications of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to use exponential functions in real-life situations. Students watch a video tutorial, explore guided notes and attempt practice problems.
Concord Consortium
Concord Consortium: Graphing Exponential Equations
Learn about exponential functions by graphing various equations representing exponential growth and decay. Graph these functions by connecting ordered pairs on x-y axes.
Other
Arlington Public Schools: Graphing Exponential Functions [Pdf]
Students are given examples of graphing exponential functions as well as the difference between exponential growth versus exponential decay graphs.
CK-12 Foundation
Ck 12: Algebra: Applications of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] In this lesson students use tools learned previously to solve real-world problems regarding exponential functions. Students watch a video tutorial, explore guided...
CK-12 Foundation
Ck 12: Algebra: Applications of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] In this lesson students devise a problem-solving strategy to solve real-world problems involving exponential functions. Students watch a video tutorial, explore...