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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 2)

For Students 10th - 12th Standards
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
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Instructional Video16:41
2
2
Flipped Math

End Behavior

For Students 9th - 12th Standards
Determine which way to go. Pupils learn how the leading term determines the end behavior of a polynomial function. They see how to use the end behavior of a polynomial to identify the graph of the function before practicing their skills...
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Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
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Worksheet
Curated OER

Polynomials

For Students 8th - 9th
In this worksheet, students solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...
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Unit Plan
Curated OER

Linear and Exponential Functions

For Teachers 8th - 11th Standards
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
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Lesson Plan
Curated OER

Graphing Calculator Investigation - Second Degree Polynomial Functions

For Teachers 9th - 12th
Students solve quadratic functions. For this solving quadratic functions lesson, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer questions...
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Lesson Plan
Curated OER

Graph Polynomial Functions

For Teachers 9th - 12th Standards
Pupils explore a method of checking the sum or difference of polynomials by graphing the problem and the simplified answer and comparing the graphs. 
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Activity
101 Questions

Controlling Colors

For Teachers 9th - 12th Standards
Control the computer processing speed with mathematics! Scholars use a computer program to graph color-changing functions. Using complex polynomial functions slows the speed of the program, but simplifying the expression allows the...
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Worksheet
Mt. San Antonio Collage

Test 1: Functions and Their Graphs

For Students 9th - 12th Standards
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
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Assessment
Mt. San Antonio Collage

Quiz 2: Types of Functions

For Students 9th - 12th Standards
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 
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Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Activity
PBL Pathways

Cell Phones

For Teachers 10th - Higher Ed Standards
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
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Unit Plan
Mathematics Vision Project

Module 8: Modeling With Functions

For Students 10th - 12th Standards
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
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Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
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Lesson Plan
1
1
Mathematics Assessment Project

Representing Polynomials

For Teachers 8th - 12th Standards
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
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Assessment
1
1
Illustrative Mathematics

Running Time

For Students 9th - 12th Standards
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
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Assessment
1
1
Balanced Assessment

Vacation in Bramilia

For Students 9th - 12th Standards
This performance task gives the population model of different types of flies and asks scholars to analyze the two populations. After interpreting the functions individually, participants compare the two populations and find the time when...
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Lesson Plan
Curated OER

Graphing Polynomials

For Teachers 9th - 11th
Students graph polynomial equations using different methods. In this algebra lesson, students identify the different ways the x and y values relate in a graph. They solve for x by finding the zero's of the polynomials.
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Lesson Plan
Curated OER

Exploring Power Functions 2

For Teachers 9th - 12th Standards
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
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Lesson Plan
Curated OER

Building Boxes- Polynimial And Rational Functions

For Teachers 7th - 9th
Young scholars investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how...
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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
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...
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Activity
Illustrative Mathematics

Zeroes and factorization of a non polynomial function

For Teachers 10th - 12th Standards
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...