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...
Concord Consortium
Rational and Not So Rational Functions
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
Curated OER
Stability of Equilibrium Values
In this stability of equilibrium values worksheet, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page worksheet contains five...
Curated OER
Algebra II: Exponential Functions
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
Curated OER
Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
Curated OER
NUMB3RS - Season 2 - "Convergence" - Air Hockey
Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Curated OER
Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
Curated OER
Numerical Analysis
In this math worksheet, students practice analyzing iterative methods. Then they use the reading to practice problem solving focusing upon convergence.
Curated OER
Worksheet 5 Math 126-Hyperbolas
In this Pre-calculus worksheet, students solve problems involving hyperbolas. The two page worksheet contains explanation and four multi-part questions. Answers are not included.
Curated OER
Numerical Analysis: Rates of Convergence
In this rates of convergence worksheet, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page worksheet contains examples and six...
Curated OER
Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
Curated OER
Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
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