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EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Curated OER
Games on Echolocation
Get a little batty with life science! This fun simulation game replicates how bats use echolocation to hunt moths in their native Hawaiian habitat. After creating blind folds and discussing some basic principles of echolocation, students...
Houston Area Calculus Teachers
Polynomial Graphing
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
EngageNY
Graphing Rational Functions
Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...
EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
Federal Reserve Bank
Your Budget Plan
What do Whoosh and Jet Stream have in common? They are both characters in a fantastic game designed to help students identify various positive and negative spending behaviors. Through an engaging activity, worksheets, and...
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...
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
EngageNY
Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your young scholars' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph,...
Mt. San Antonio Collage
Quiz 2: Polynomials
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given...
Curriculum Corner
Guest Teacher Plans: Grade 6
Taking a day off of school can feel like a lot more work than going because of the time and effort that goes into making sub plans. Make your life easier with a daily plan for a guest teacher designed to meet the needs of sixth...
Curriculum Corner
Guest Teacher Plans (Grade 2)
Be prepared the next time you're in need of a substitute with a daily plan equipped with an assortment of activities covering subjects math, reading, word work, writing, and science.
Math Guy
Algebra 2 Practice Final
Work out to Algebra II with the 50-question activity 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...
EngageNY
Graphing the Logarithmic Function
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
Missouri Department of Elementary
Be a Problem Solving Star
Encourage scholars to problem solve everyday frustrations using the STAR method. Using the acronym, learners remember to stop, think, act, and review. Participants begin with a math analogy in which they problem-solve to find the correct...
Creative Learning Exchange
Lesson Plans From The Lorax
When it comes to the environment, no variable is constant. Class members graph behavior over time for the thneeds produced over truffula trees chopped down over the course of Dr. Seuss's The Lorax.
K20 LEARN
Awesometh Degree of a Function
Build up a polynomial. Learners use printed cards to create polynomials. Using a graphing utility, pupils make comparisons between the polynomials they built. To further cement the concept, they build upon their algebraic vocabulary as...
Agriculture in the Classroom
Roll of the Genes
Animal reproduction in sheep and cattle is explored with the help of Punnet squares. Scholars employ tools using probability to conclude the color of wool a sheep's offspring will have. Acting as animal geneticists, pupils then take...
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Savannah-Chatham County Public School System
Using Self-Control
Everyone gets frustrated from time to time. You may not be able to control the way you feel, but you can definitely learn to control the way you act in times of frustration. A helpful lesson on self control encourages your class to stop,...
EngageNY
Describing the Center of a Distribution Using the Median
Find the point that splits the data. The lesson presents to scholars the definition of the median through a teacher-led discussion. The pupils use data lists and dot plots to determine the median in sets with even and odd number of data...