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...
Curated OER
Exponential Growth
Students study exponential functions. In this exponential growth lesson plan, students conduct a simulation in which a population grows at random but predictable rate. Students compare and contrast linear and exponential functions....
Curated OER
ESP Quiz 3
In this functions worksheet, students complete three short answer problems. They solve one compound inequality. Students show that a given function is even. They use exponential growth to compute the enrollment at UC Davis over time.
Curated OER
Exponential Growth Introduced
Students study exponential growth in problems using chess boards and grains of rice. In this exponential growth lesson, students watch a video about a chess wager and complete an exponential growth worksheet. Students then complete a...
Curated OER
A Penny Saved is a Penny Earned
Students explore the concept of exponential growth. In this exponential growth lesson plan, students manipulate power models with base 2. Students discuss what would happen if you doubled a penny over the course of 20...
Curated OER
Twenty-Nine Various Exponential Function Problems
In this exponential growth and decay worksheet, students identify equations as growth or decay, find balance in an account, find half-life, identify interest rate, identify the initial amount, and identify the growth factor.
Curated OER
Discovering Growth Patterns
Students explain the differences between linear (arithmetic) and exponential (geometric) growth. They use worksheets imbedded in this lesson to help them make predicitions and graph data points.
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
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.
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
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...
Howard County Schools
Generous Aunt
Witness the power of exponential growth with an activity that investigates two different savings plans. Class members create tables of values to see how and when a savings plan increasing exponentially exceeds one increasing linearly.
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
101 Questions
Lunch
Traditional lamian, a noodle originating from China, is hand shaped by twisting, stretching, and folding the dough into strands. Scholars observe the technique before determining the length of the final noodle. They use exponential...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
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...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Curated OER
Pre-calculus Unit 3 Test 2
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
Concord Consortium
Rising Prices
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Howard Hughes Medical Institute
Population Dynamics
Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...