Curated OER
Exponential and Exponents Functions
Students solve problems using exponential properties. In this algebra instructional activity, students differentiate between exponents, exponential and log functions. They graph their functions using table and exponents.
Curated OER
Population Models and Qualitative Analysis, Part 2
In this population model activity, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over time....
Curated OER
How Much Data is That?
Students differentiate between exponential and logarithmic functions. In this algebra lesson, students use logarithmic properties to solve equations. They identify growth and decay of graphs.
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 3)
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
Curated OER
Math Handbook: Calculus
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...
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
National Research Center for Career and Technical Education
Safety and Sanitation
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson plan.
Curated OER
Sandia Aerial Tram
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
Curated OER
Credit Cards and Compound Interests-Exponential Growth
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson plan, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate...
Curated OER
Logarithmic Functions and Their Graphs
In this algebra worksheet, students evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.
Curated OER
TI-Nspire Activity: What Does Your Representation Tell You?
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
Curated OER
Rhinos and M&M's
Students analyze patterns of exponential models by collecting data in paper folding and M&M investigations. They use graphing calculators to create scatter plots that lead to equations for the exponential models. They then apply this...
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
Basketball Bounces, Assessment Variation 1
This highly scaffolded, summative assessment tasks learners to choose the model that represents the height of a bouncing basketball given the data in graph and table form. Learners then use the model to answer questions about the...
Math Guy
Algebra 2 Practice Final
Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Curated OER
Analyze This Function
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...
Curated OER
Multiplying Exponents vs. Powers of Powers
Use the power of a power property to solve exponential functions. The lesson refers to differentiating between multiplying or adding exponents to find the value, and how to find the product of a power of a power.
Curated OER
Negative Exponents
Students solve negative exponential functions. In this algebra instructional activity, students define the properties for rewriting functions with negative and zero exponents. They use a robot to create a visual of what is happening to...
Curated OER
Algebra 1 Unit 8 Review
In this math worksheet, students practice the techniques associated with algebra 1. This 5-page worksheet has many different types of problems for the students to solve.
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...
EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
101 Questions
Double Sunglasses
If you wear two sets of sunglasses, do you get twice the darkness? Pupils explore an enlightening topic using a video and math model. They discover how to extend the topic through a sequel video and challenge question.