Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
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.
Curated OER
Bacteria Populations
Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change.
Curated OER
Snail Invasion
Exponential growth is modeled by learners as they analyze and interpret the data presented in this real-life scenario centered on the destructive invasion of the Giant African Land Snail. Learners get a touch of history and practice...
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.
PBL Pathways
What Should Have Happened on Gilligan's Island?
"Just sit right back and you'll hear a tale ..." Gilligan's Island is a classic that spans generations and offers a problem-solving opportunity for scholars. Take a project-based learning approach to examine the population of the island....
CK-12 Foundation
Geometric Sequences: Bacteria Colony
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
101 Questions
Fry's Bank
If money was left in an interest-earning account for 1,000 years, how much would it increase? Viewers watch a clip from a show about the future when someone learns about their balance after 1,000 years. Then, they solve for the amount in...
101 Questions
Water Tank Filling
Grab your classes' attention with a video presentation of a problem to solve. Young scholars develop a plan to predict the time it takes to fill a tank with water. Video footage provides the statistics they need to make their conclusions.
Curated OER
College Level Study Guide
In this study guide worksheet, young scholars examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials,...
Flipped Math
Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
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.
Curated OER
Population Models and Qualitative Analysis, Part 2
In this population model learning exercise, 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...
Curated OER
Subset Sum
Young scholars explore the concept of exponential growth. In this exponential growth lesson plan, students solve a problem about ensuring fairness in a Tug-of-War. Young scholars determine which students should be on a team...
Curated OER
Logarithms
In this logarithm worksheet, students read given statements about logarithms and determine if the statement is true or false. This one-page worksheet contains approximately 35 problems.
Curated OER
Population Biology
In this population instructional activity, students will compare two graphs; one graph representing steady rate of growth and the other one showing exponential growth. Students will use these graphs to complete 3 short answer questions.
Curated OER
Parent Functions Reference
In this functions worksheet, pupils explore the graphs of fifteen parent functions. This worksheet is meant as a reference for students.
Curated OER
Squaring Function of Natural Numbers
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...
Curated OER
Credit Cards and Compound Interests-Exponential Growth
Eleventh graders investigate the way credit cards work when collecting interest. For this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...
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...
Curated OER
Properties of Logarithms
Students explore the concept of logarithms. For this logarithms lesson, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...
Curated OER
Using Innovative Approaches To Explore Functions
Use student-directed resource sheets, multiple approaches, and group work instead of drill and kill.
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.