Lesson Plan
Curated OER

Exploring Quadratic Data with Transformation Graphing

For Teachers 9th - 12th Standards
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Lesson Plan
EngageNY

The Inverse Relationship Between Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
Assessment
1
1
Balanced Assessment

On Averages and Curves

For Students 11th - 12th
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

For Students 10th - 12th Standards
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...
Instructional Video24:44
2
2
Flipped Math

Sketching Polynomial Functions

For Students 9th - 12th Standards
Provide a sketch of the suspect. Scholars see how to use the key aspects they know about polynomials to create a sketch of the graph. Learners factor to calculate the zeros by factoring, find the end behavior, and determine the...
Lesson Plan
Curated OER

Graphing Polynomials of Higher Degree

For Teachers 10th - 12th
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Interactive
CK-12 Foundation

Horizontal and Vertical Asymptotes: Rational Functions

For Students 9th - 12th Standards
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
Lesson Plan
West Contra Costa Unified School District

Evaluating Functions Graphically and Algebraically

For Teachers 8th - 10th Standards
High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.
Assessment
1
1
Balanced Assessment

Garages and Phones

For Students 9th - 12th Standards
Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.
Lesson Plan
Curated OER

Hybrid Vehicles: Cut Pollution and Save Money

For Teachers 7th - 8th
Math and science meet in this lesson plan on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a lesson plan that compares the use of internal combustion engines to hybrid electric engines....
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.
Lesson Plan
Virginia Department of Education

Graphing Linear Equations

For Students 8th Standards
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
Interactive
CK-12 Foundation

Translating Sine and Cosine Functions: Translating Sine

For Students 10th - 12th Standards
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
Interactive
CK-12 Foundation

Changes in Period and Amplitude of the Sine Function

For Students 10th - 12th Standards
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
Worksheet
2
2
Flipped Math

Unit 2 Review: Polynomial Functions

For Students 9th - 12th Standards
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
Worksheet
Yummy Math

Parametric Equations and a Heart

For Students 8th - 12th Standards
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
Unit Plan
1
1
Mathematics Vision Project

Module 7: Connecting Algebra and Geometry

For Teachers 8th - 10th Standards
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Lesson Plan
Mathematics Assessment Project

Comparing Lines and Linear Equations

For Teachers 8th Standards
Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...
Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
Lesson Plan
Mathematics Assessment Project

Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Lesson Plan
Virginia Department of Education

Composition of Functions

For Students 10th - 12th Standards
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Lesson Plan
Curated OER

Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...

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