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Lesson Planet

#### Module 6: Modeling Periodic Behavior

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

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...

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#### Symbolic Similarity

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...

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#### Module 8: Modeling With Functions

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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#### Module 7: Trigonometric Functions, Equations, and Identities

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...

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#### 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...

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#### Module 7: Structure of Expressions

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...

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

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...

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#### Zombie Take-Over

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

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...

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#### Transformers Part 1 - Absolute Value and Quadratic Functions

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.

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#### Tidal Waves

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...

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#### Multi-Function Data Flyer

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.

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#### Linear Inequalities

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

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!

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.

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#### Write the Equations

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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#### Transformations of Graphs: Translations

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

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

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...

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#### Families of Lines: Room in Perspective

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...

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#### Comparing Functions—Linear

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

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...

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#### Connecting Algebra and Geometry

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...