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Lesson Planet

Module 6: Modeling Periodic Behavior

For Students 10th - 12th Standards
Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...
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Module 4: Polynomial Functions

For Students 10th - 12th Standards
Bridge the gap between graphical and algebraic representations. Learners complete six lessons that begin by pointing out connections between the key features of a polynomial graph and its algebraic function. Later, pupils use the...
Lesson Planet

Symbolic Similarity

For Students 9th - 11th Standards
How many things does one transformation tell you? Learners compare and contrast the graphs of different parent functions with the same transformation. Using a rational and absolute value function, pupils identify key features of their...
Lesson Planet

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...
Lesson Planet

Module 7: Trigonometric Functions, Equations, and Identities

For Students 10th - 12th Standards
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
Lesson Planet

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
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...
Lesson Planet

Module 7: Structure of Expressions

For Teachers 8th - 10th Standards
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
Lesson Planet

F.BF.B.3 and F.BF.B.5 Assessment Items

For Teachers 9th - 11th Standards
Transform questions into a formal assessment instrument. A set of five assessment items tests understanding of the Common Core math standards F-BF.3 and F-BF.5. Pupils identify transformations of functions and interpret parameters of...
Lesson Planet

Zombie Take-Over

For Teachers 10th - 12th Standards
The mathematical zombie apocalypse is near! Learners model the spread of zombies with a simulation activity. After collecting data, they graph everything and find a logistic model using a graphing calculator.
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Transformers Parts 2-5 - Algebra 2 Parent Functions

For Students 10th - 12th Standards
Dive into an activity that may cause a little reflection! Building from the first activity in the series of two, learners explore transformation using unfamiliar functions. The key takeaway is that applying transformations to any...
Lesson Planet

Transformers Part 1 - Absolute Value and Quadratic Functions

For Students 9th - 11th Standards
Transform your instruction with an exploratory lesson! Young scholars manipulate absolute value and quadratic functions to look for transformation patterns. They use the patterns to write general rules of transformations.
Lesson Planet

Tidal Waves

For Teachers 9th - 12th Standards
Periodically ship the class a trigonometric application. Pupils model the level of water in a port. Using their models, learners determine the times that a ship can safely navigate into and out of the port, along with determining other...
Lesson Planet

Multi-Function Data Flyer

For Students 8th - 12th Standards
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
Lesson Planet

Linear Inequalities

For Students 8th - 12th Standards
An interactive lesson helps individuals learn to graph inequalities in two variables. Scholars can adjust the interactive to present the inequalities in standard or slope-intercept form.
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Graphing Quadratic Equations

For Teachers 9th - 12th Standards
Sneak peek! Provide a first look at quadratic graphs using an introductory lesson of graphing quadratics that compares them to linear graphs. Pupils use graphing calculators to investigate the effects of changing the leading coefficient...
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Functions, Graphs, and Symmetry...Oh My!

For Teachers 9th - 12th Standards
Can you determine a function's graph without actually graphing the function? Scholars learn to identify the shape of the graphs of different function types based solely on their equations. They also study the symmetry of graphs.
Lesson Planet

Write the Equations

For Students 9th - 12th Standards
What is the equation of the new absolute value function when it is moved? The assessment provides a graph of the parent absolute value function. Given three other graphs of a single transformation of a function, pupils determine the...
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Lesson Planet

Transformations of Graphs: Translations

For Students 9th - 12th Standards
Explore translations of functions on both the graph and equation. Using a quadratic function, a video lesson shows how adding and subtracting values results in either a vertical or horizontal translation. The lesson compares and...
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Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
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Algebra I: Model Falling Objects

For Teachers 9th - 12th Standards
Don't drop the ball on using a great resource. Scholars use provided data to graph the height of a dropped ball during one of its bounces. This graph and the data provide a means to create a quadratic equation for the relationship...
Lesson Planet

Families of Lines: Room in Perspective

For Students 8th - 10th Standards
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common about all the...
Lesson Planet

Comparing Functions—Linear

For Students 9th - 12th Standards
Identify transformations of linear functions. Given the graph of the linear parent function, pupils compare the graphs of four other linear functions and determine how the graphs of each linear function relates to the graph of y = x.
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Comparing Functions—Exponential

For Students 9th - 12th Standards
Observe what happens when individuals change the parameters of a simple exponential function. Pupils use graphing technology to compare exponential functions while changing one parameter. The scholars then make generalizations of the...
Lesson Planet

Connecting Algebra and Geometry

For Teachers 9th - 10th Standards
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...