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Lesson Planet

Arch Project

For Students 10th - Higher Ed Standards
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
Lesson Planet

Building an Explicit Quadratic Function by Composition

For Students 9th - 12th Standards
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the direction it...
Lesson Planet

Transformational Graphing

For Students 9th - 12th Standards
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
Lesson Planet

Parabola Project

For Teachers 9th - 12th Standards
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
Lesson Planet

Modeling Motion: Rolling Cups

For Students 9th - 12th Standards
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
Lesson Planet

Identifying Even and Odd Functions

For Students 9th - 12th Standards
Is it even ... or odd? The task provides four functions to identify as being even, odd, or neither. Pupils use algebraic methods to make their decisions with select exponential, quadratic, and cubic functions.
Lesson Planet

Exploring Sinusoidal Functions

For Students 9th - 12th Standards
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Lesson Planet

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Lesson Planet

Identifying Quadratic Functions (Vertex Form)

For Students 9th - 12th Standards
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...
Lesson Planet

Medieval Archer

For Students 9th - 12th Standards
Class members determine the distance a video game character must move to shoot an arrow over a castle wall. Players determine the new equation to enter to represent the trajectory of the arrow and find all the distances the character can...
Lesson Planet

Para-Ball-A

For Students 11th - 12th Standards
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or different...
Lesson Planet

Writing and Sketching Resource

For Students 9th - 12th Standards
Picture this—the class creates pictures using functions. Here, learners build functions to model specific graphic criteria. They use their knowledge of parent functions and transformations to create the perfect function. 
1 In 1 Collection
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
1 In 1 Collection
EngageNY

Transformations of the Graphs of Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
Lesson Planet

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....
Lesson Planet

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Planet

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Lesson Planet

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Lesson Planet

Graphing Exponential Functions

For Teachers 8th - 10th Standards
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Lesson Planet

Particle Motion

For Teachers 11th - Higher Ed Standards
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
Lesson Planet

Building Functions

For Students 8th - 10th Standards
Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.
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Lesson Planet

Dilations of Quadratic Graphs - Concept

For Students 8th - 10th Standards
Help learners recognize the characteristics of a quadratic graph and how changes affect them. An informative video uses a graphing calculator in order to find out what happens when the leading coefficient of a quadratic changes. The...
1 In 1 Collection
Lesson Planet

Identifying Quadratic Functions

For Students 9th - 12th Standards
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
Lesson Planet

Transforming the Graph of a Function

For Students 9th - 12th Standards
Function notation is like a code waiting to be cracked. Learners take the graph of an unknown equation and manipulate it based on three different transformation changes of the function equation. The final step is to look at three points...