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Lesson Planet

Building a Quadratic Function Form

For Students 9th - 12th Standards
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
Lesson Planet

Weightless Wonder

For Teachers 9th - 12th Standards
A video of the weightless wonder provides a setting for the math to follow. Groups analyze the graph of a quadratic function that models the path of the C-9 as it gives astronauts the experience of weightlessness. Using a graphing...
5:27
Lesson Planet

Describing Transformations Algebraically

For Students 11th - Higher Ed Standards
Working with functions is transformational! An illustrative video explains the basics of the six algebraic transformations. The instructor uses function notation and provides an example of each. 
4:23
Lesson Planet

Determining if a Function is Even, Odd, or Neither

For Students 11th - Higher Ed Standards
Numbers are even and odd, but did you know functions can be too? The lesson shows the process of determining an even or odd function algebraically. It uses polynomial examples and shows an example of each type. 
2 In 2 Collections
EngageNY

Modeling with Quadratic Functions (part 2)

For Students 9th - 10th Standards
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object,...
2 In 2 Collections
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 4)

For Students 9th - 10th Standards
Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...
2 In 2 Collections
EngageNY

Modeling with Quadratic Functions (part 1)

For Students 9th - 10th Standards
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
2 In 2 Collections
EngageNY

Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways

For Students 9th - 10th Standards
Need a real scenario to compare functions? This lesson has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs. 
2 In 2 Collections
EngageNY

Transformations of the Quadratic Parent Function

For Students 9th - 10th Standards
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
2 In 2 Collections
EngageNY

Stretching and Shrinking Graphs of Functions

For Students 9th - 10th Standards
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections. 
2 In 2 Collections
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This lesson plan examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs...
2 In 2 Collections
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
2 In 2 Collections
EngageNY

Graphs Can Solve Equations Too

For Students 9th - 10th Standards
There are many equations Algebra I learners are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The instructional activity exposes learners to a wide...
2 In 2 Collections
EngageNY

Piecewise Functions

For Students 9th - 10th Standards
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two pieces...
2 In 2 Collections
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 3)

For Students 9th - 10th Standards
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
Lesson Planet

Connecting Graphing and Solving Absolute Value Equations and Functions

For Teachers 10th - 12th Standards
Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...
Lesson Planet

Analytic Geometry Study Guide

For Students 9th - 12th Standards
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
1 In 1 Collection
Lesson Planet

Introduction to Logarithms

For Teachers 9th - 12th Standards
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Lesson Planet

Saxon Math: Algebra 2 (Section 12)

For Teachers 9th - 12th Standards
This final section of 12 Saxon Math units for algebra 2 wraps up the series with a strong showing of function summaries, trigonometric applications, and statistical analysis. Labs emphasize guided discovery learning of regression...
Lesson Planet

Saxon Math: Algebra 2 (Section 11)

For Teachers 9th - 12th Standards
As we approach the end of the Saxon math sections, the 11th of 12 units begins the process of summarizing and combining material from the previous lessons. The relationships between functions and their transformations are investigated,...
1 In 1 Collection
Lesson Planet

Function Families and Their Connections Including Vertical Shift of an Absolute Value Function

For Teachers 9th - 12th Standards
One of the strongest tools an algebra learner develops is the ability to quickly and accurately graph almost any given function. Often doing this quickly and accurately requires rigid transformations to a parent function, demonstrated in...
1 In 1 Collection
Lesson Planet

Function Families: Translations and Reflections

For Teachers 9th - 12th Standards
This comprehensive introduction to rigid transformation of functions does a fabulous job of breaking down translations and reflections into manageable concept chunks. Care is taken with horizontal translations, vertical translations,...
1 In 1 Collection
Lesson Planet

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 Planet

End-of-Year Practice Test (Algebra II)

For Students 9th - 12th Standards
This complete multiple choice and grid-in practice end-of-year test for algebra II is a phenomenal resource to use as a whole or sprinkled throughout the curriculum. Useful for tracking progress or preparing the class for the format of...