### We found 331 resources with the concept graphing quadratics

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Other Resource Types ( 331 )

Lesson Planet

#### High School Balanced Packet 2 Assessment Tasks

Good assessments can be hard to find and difficult to formulate. Designed as a collection of mathematics assessment tasks, the 20 resources in this packet can also be used as lesson openers, a review, or extra practice. The open-ended...

EngageNY

#### EngageNY Algebra II Module 1: Polynomial, Rational, and Radical Relationships

The 42 lessons in the Algebra II Module 1 collection are divided into four topics: Polynomials--From Base Ten to Base X, Factoring-- Its Use and Its Obstacles, Solving and Applying Equations—Polynomial, Rational and Radical, and A...

EngageNY

#### EngageNY Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions

The 26 lessons in the Algebra 1, Module 4 collection teach students how to use polynomial functions, as well as quadratic functions, square toot functions and cube root functions, to graph and interpret functions. All materials are copy...

Lesson Planet

#### Quadratic Functions

Here is a collection that not just teaches parabolas, but allows for exploration of the quadratic function to model realistic scenarios. Students are guided through videos, DESMOS activities, and practice problems to explore the topic.

Lesson Planet

#### Algebra: High School Common Core Math

All Algebra, all the time! Here is a compiled list of resources that address all of the standards regarding Algebra Common Core for high school. Each resource has the main standard it addresses under the notes section of the item.

Lesson Planet

#### Mathematics Assessment Project: Tests for College & Career Readiness - High School

A collection of six tests are designed to assess the College and Career Readiness of high school algebra I, algebra II, geometry, and statics and probability learners. Each assessment includes the test form and scoring and comes in 40,...

Lesson Planet

#### Summer Math Projects

Summer learning loss can be one of the most tragic things to happen to a student's academic success, as well as cause much frustration for educators. Stop the learning loss in math with five summer projects intended for middle and high...

Lesson Planet

#### GeoGebra Graphing Calculator

So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.

Lesson Planet

#### The Fall of Javert

Falling off a bridge might not sound like your idea of a good math problem, but incorporating the final scene of Les Misérables is sure to spark interest. The goal is to use the time Javert fell off the bridge to determine how high he...

Lesson Planet

#### Out of Left Field

A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...

Lesson Planet

#### Algebra 1 Practice Final

What makes this resource special? The amazing answer key that comes with worked out solutions and notes for each problem. Practice problems include all topics ranging from linear systems to simplifying exponential expressions. The packet...

Lesson Planet

#### Quadratic Functions and Their Graphs

Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems.

Lesson Planet

#### Graphing and Properties of Quadratic Functions

Summer projects are key to helping leaners stay proficient in math skills. Here is a project that reinforces Algebra II skills. Including five parts, the project explores graphing functions and quadratic equations such as the standard...

Lesson Planet

#### Angry Birds

Make math enjoyable while playing a favorite game! Learners fly their way through quadratic equations as they predict the flight path of an Angry Birds character. The lesson plan incorporates some play time of the game, followed by an...

Lesson Planet

#### Solving a Quadratic by Factoring

Solving quadratics by factoring is the main concept in this video. Several examples are shown with positive numbers and with negative numbers. The instructor demonstrates how to set the factored equation to zero to solve the quadratic....

Lesson Planet

#### Quadratic Equations with the CBL 2

Learners practice generating parabolas with a motion sensor while determining the vertex form of the equation. They compare it to the regression equation from the calculator onto a data mate software. Each student completes several...

Lesson Planet

#### Shifting functions

Though Sal expects that viewers are "reasonably familiar" with square roots, he takes this opportunity to explain some of the notation, and how to graph square root functions. He uses a graphing calculator from my.hrw.com/math06 to...

Lesson Planet

#### SAT Prep: Test 8 Section 5 Part 4

If your math students are having a hard time with graphing and slopes, this video could be a great resource as they prepare for the SAT. Sal takes care in explaining his thought process, making sure where to note different strategies to...

Lesson Planet

#### SAT Prep: Test 5 Section 3 Part 4

Explaining that the only thing he gets in return for these videos "is the satisfaction of you guys getting a perfect score on the SAT," Sal charges on through the practice SAT problems. Students who have a difficulty with parabolas and...

Lesson Planet

#### SAT Prep: Test 5 Section 9 Part 4

Graphing skills are a focus of this video, making it ideal for students who have a hard time using slopes and functions. Additional problems involve visualization, geometric figures, and algebraic factoring.

Lesson Planet

#### SAT Prep: Test 3 Section 4 Part 2

Sal explains how helping his young cousins with their math skills inspired him to make this series of videos, so he can help a bunch of people pass the SAT. In this video, he covers exponents, quadratics, and parabolas in problems 5-9 on...

Lesson Planet

#### Stretching the Quads

Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...

Lesson Planet

#### Graphs

In this graphs worksheet, students solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...

Lesson Planet

#### Solving Quadratic Equations by Graphing

With his trusty graphing calculator, Sal begins his lecture on solving quadratic functions by graphing. The video is a good way to show young mathematicians not only how to use the graphing calculator (which Sal describes as "archaic"...

Lesson Planet

#### Discovering Quadratics

Get to know quadratics from a couple of different perspectives. Classmates work in small groups to determine the optimal cooking time for microwave popcorn. Group members pop bags of popcorn for different times and collect data on the...

Lesson Planet

#### Saving the US from a Missile Crisis

Mathematically shoot down an incoming missile. Given information about the Cuban Missile Crises, learners calculate the equation of the trajectory of an imaginary missile launched from Cuba toward Washington, D.C. Scholars determine the...

Lesson Planet

#### Modeling Quadratics Basketball Video Project

Will he make it? After watching a video of part of a basketball shot, groups create their own videos. Teams record a video of shooting a ball at a hoop and edit it to show only a portion of the shot. Group members determine the equation...

Lesson Planet

#### Throwing a Football

Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...

Lesson Planet

#### How High Can You Throw?

Find heights by measuring time. Teams collect data to determine the height that a tennis ball is thrown. Classmates measure the height of the initial release of the ball and how long it stays aloft. Using a projectile motion equation,...

Lesson Planet

#### Elementary Algebra

Find all the Algebra 1 content in one location. A helpful eBook contains the content typically found in an Algebra 1 course. Concepts range from solving and graphing linear equations to solving and graphing quadratic equations. Pupils...

Lesson Planet

#### Grades 9-10 Algebra: Graphic Quadratics on the Coordinate Plane

Find quadratics in the world. Learners select ways to compare and contrast linear and quadratic functions and how to demonstrate knowledge of parabolas in the world. Teachers assign a third task challenging individuals to find equations...

Lesson Planet

#### Quadratic Reflections

Reflect upon the graphs of quadratic functions. Given a quadratic function to graph, pupils determine whether the graph after a horizontal and vertical reflection is still a function. The final two questions ask scholars to describe a...

Lesson Planet

#### Graphing Quadratics

Quadratics only have three terms, but each one is fairly important. Scholars use an interactive to explore how each coefficient affects the graph of a quadratic function. They also see how changes to the vertex form and how changes to...

Lesson Planet

#### Quadratic Inequalities

Develop a sketchy approach to solving quadratic inequalities! Using a sketch of a graph, the presenter shows a way to solve quadratic inequalities. Pupils then practice that method to solve their own quadratic inequalities and apply the...

Lesson Planet

#### Drawing Quadratic Graphs

Curve through the points. The resource, created as a review for the General Certificate of Secondary Education Math test, gives scholars the opportunity to refresh their quadratic graphing skills. Pupils fill out function tables to find...

Lesson Planet

#### Smarter Balanced Sample Items: High School Math – Claim 3

Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...

Lesson Planet

#### Quadratic Graphs: Completing the Square

What does a square have to do with a quadratic function? Young scholars learn that completing an algebraic square is helpful when graphing the quadratic functions. The video instructor demonstrates rewriting quadratic functions in vertex...

Lesson Planet

#### Looking through a Window

Here's a window into graphing calculators. Scholars use a graphing calculator to plot a quadratic function. They then adjust the window to make the graph look like that of a linear function and must recreate given graphs.

Lesson Planet

#### Intersections I

One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...

Lesson Planet

#### Broken Spreadsheet I

There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...

Lesson Planet

#### Sketching Quadratics

Sketch the graph of quadratic functions using key features as a guide. After a brief discussion about the key features of a parabola, the video instructor completes several examples showing how to graph a quadratic function. Each...

Lesson Planet

#### Solving Quadratics Graphically

One of the many methods of solving quadratic equations is graphing. A video lesson first demonstrates graphing a quadratic function using an input-output table. After graphing the parabola, the instructor makes the connection between the...

Lesson Planet

#### Drawing Quadratics

Map the input to the output and see what pupils create. The video lesson provides an introduction to graphing quadratic functions using an input-output table. The instructor shows each step of the calculations when evaluating the function.

Lesson Planet

#### An Algebraic Oversight

Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...

Lesson Planet

#### Betweenness II

Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...

Lesson Planet

#### Will It Hit The Hoop?

Basketball and math go hand in hand, even before one considers creating statistics. Viewers see a basketball player attempt multiple shots, but they do not see whether it goes in. They solve for which shots earned points as well as which...

Lesson Planet

#### Angry Bird Quadratics

Launch your classes into a modeling lesson. Young scholars watch angry bird trajectories and make predictions based on their knowledge of quadratic functions. The lesson includes a series of questioning strategies to lead learners to the...

Lesson Planet

#### A.REI.D.10 Assessment Items

Here's the solution to your lack of assessment questions. Scholars answer a set of questions, all assessing the Common Core math standard A-REI.10. They graph equations on coordinate planes and interpret graphs as the sets of all...

Lesson Planet

#### Curvy Products

Linear x Linear = Quadratic? Given two linear expressions, scholars determine the product algebraically. They then graph the function defined by the quadratic expression and identify key features. Ideally, they'll see the relationships...

Lesson Planet

#### Real World Quadratic Functions

Be a winner; use the resource. Given quadratic functions for the heights of water balloons tossed by three homerooms, scholars determine the winner. Of course, this will first require defining what constitutes winning. Longest horizontal...

Lesson Planet

#### Ace in the Hole

How does inertia affect an object's trajectory? After watching a video on safety belt use, pupils discuss the notions of inertia. Using their knowledge, individuals try to drop a ball on a target while running, and classmates observe the...

Lesson Planet

#### Function Flyer

Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.

Lesson Planet

#### How High Can I Go?

All you need to graph a quadratic? Two points and a line! Working in pairs, classmates find the roots of a quadratic. After learning how to find the axis of symmetry and its importance in finding the vertex, pairs graph several quadratic...

Lesson Planet

#### Graphing Quadratics Made Easy: Vertex Form of the Equation

Translate the transformations of quadratics. The lesson presents the vertex form of quadratic equations and shows how to read the transformations from the equation. Given six quadratic equations, pupils graph them and describe the...

Lesson Planet

#### 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...

Lesson Planet

#### Representing Quadratic Functions Graphically

Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.

Lesson Planet

#### Desmos Graphing Calculator

They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....

Lesson Planet

#### Anatomy of a Parabola

Look at parabolas from a different perspective. The lesson introduces the idea of the analytic interpretation of parabolas. Pupils learn the vocabulary associated with parabolas including the focus and directrix. They develop the...

Lesson Planet

#### Completing the Square—Plotting Quadratics

Where is the turning point? The presentation demonstrates how the process of completing the square finds several points in the graph of a quadratic. One of the most important points found is the vertex of the graph. The video shows where...

Lesson Planet

#### Drawing Quadratic Graphs

How does a quadratic function create its shape? Scholars examine the graphs of quadratic functions in an informative video lesson. By creating a table of values, learners see the patterns in the numbers that appear in the graph.

Lesson Planet

#### Model Rocket

Create a model of a model rocket. Given a scenario of flying a model rocket and the equation that models the height of the rocket, pupils create a graph of the situation. The learners must label the axis and determine an appropriate...

Lesson Planet

#### Making Sense of a Quadratic Function

Deepen understanding of quadratic functions with a well-designed lesson. By combining function notation, quadratic functions, and symmetry, learners make conclusions about different scenarios. They then critique others' methods and...

Lesson Planet

#### Horizontal Translations or Phase Shifts: Horizontal Translations

Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.

Lesson Planet

#### Quadratic Functions and Their Graphs: Soccer Ball Trajectory

Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...

Lesson Planet

#### Discriminant

Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...

Lesson Planet

#### Identification of Quadratic Models: UFO Launch

Build conceptual understanding of graphs of quadratic functions with an out-of-this-world resource. An interactive lesson allows learners to manipulate a graph that models the launch of a UFO. The lesson focuses on the key features of...

Lesson Planet

#### Quadratic Modeling

Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....

Lesson Planet

#### Quadratic Curve of Best Fit

Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.

Lesson Planet

#### Parabola Project

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

#### Identifying Quadratic Functions (Vertex Form)

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

#### Number Game

It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...

Lesson Planet

#### Para-Ball-A

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

#### Sorting Functions

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

Lesson Planet

#### Quadratic (2009)

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...

Lesson Planet

#### Quadratic (2006)

Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Lesson Planet

#### Factored Form of a Quadratic Function

Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...

Lesson Planet

#### Find Zeros of a Function Given the Graph

Introduce zeros of a function and their relationship to the graph of the function. an informative video uses the definition of a zero to help identify them on a graph and provides several examples of finding the zeros of a variety of...

Lesson Planet

#### Determine Minimum, Maximum, Vertex, and Zeros Given the Graph

Do not always be maxed out by the vertex. A short video introduces the graphical display of the vertex and zeros of a quadratic function. The presenter provides the definitions of the minimum and maximum of the graph along with...

Lesson Planet

#### Quadratic Equations — What We Know

Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...

Lesson Planet

#### Graphing Family of Functions

Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.

Lesson Planet

#### Exploring Quadratics and Graphs

Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.

Lesson Planet

#### Functions

Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...

EngageNY

#### Are All Parabolas Similar?

Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.

Lesson Planet

#### Building Functions

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.

Lesson Planet

#### Graphing

So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...

Lesson Planet

#### Graphing Quadratic Equations

Build an understanding of vertex form and its relationship to the graph of a quadratic function. Through graphing, scholars learn the horizontal translations, vertical translations, and reflections results of manipulating a function....

Lesson Planet

#### Dilations of Quadratic Graphs - Concept

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...

Lesson Planet

#### Exploring Quadratic Graphs - Concept

Show your class how to use properties to make graphing easier with a resource that explores the graphs of quadratics. Using tables to determine the points to graph, pupils discover the symmetry of parabolas in order to short cut the...

Lesson Planet

#### Hyper-Solving Quadratic Equations

How does a ghost solve a quadratic equation? By completing the scare! Groups of learners develop a slideshow presentation outlining the ways to solve quadratic equations. The plan outlines the requirements, making the expectations clear...

Lesson Planet

#### Identifying Quadratic Functions

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

#### Building a Quadratic Function Form

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

#### Springboard Dive

Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...

Lesson Planet

#### Which Function?

Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.

Lesson Planet

#### Graphs of Quadratic Functions

Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...

Lesson Planet

#### Dilations of Quadratic Graphs

Challenge: Sketch a graph of a quadratic function without making a table of values. High schoolers learn how different parameters affect the graph of a quadratic function. The problem video focuses on dilations of quadratic graphs.

Lesson Planet

#### Test 1: Graphing Functions

Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.

Lesson Planet

#### Working with Parabolas

Fire off a parabolic graph and prove that the height of the fireworks will safely be above 76 feet. The lesson uses a graphing calculator and discusses what the labels of the graph should be. Using the vertex formula, learners prove that...

Lesson Planet

#### Algebra Assessment Review

Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.

Lesson Planet

#### Assessment for the California Mathematics Standards Grade 5

Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and how to...

Lesson Planet

#### Space Shuttle Ascent: Altitude vs. Time

How long did it take to get to that altitude? Using a Google Earth file, groups explore a space shuttle launch. Using a calculator, groups determine the function that models the altitude/time data from an actual launch. With the model in...

Lesson Planet

#### Sketch the Graph of a Parabola

How many ways can you graph a quadratic? The video shows two approaches to graphing a quadratic expression that is initially in standard form. The first method finds the vertex using -b/2a. The second approach is to find (h,k).

EngageNY

#### Graphing Quadratic Functions from Factored Form

How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...

EngageNY

#### Exploring the Symmetry in Graphs of Quadratic Functions

Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...

EngageNY

#### Graphing Quadratic Functions from the Standard Form

Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...

Lesson Planet

#### Matching Quadratic Functions

Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson plan that comes in handy! Using hands-on matching activities, quadratic equations are explored through their graphical...

Lesson Planet

#### Parabolas Are All Around Us

Moving parabolas off of graph paper and into the real world is the task at hand in this detailed poster project. First, learners perform a cumulative activity identifying many characteristics of an assigned quadratic equation. Next, they...

Lesson Planet

#### The Math Behind Michael Jordan's Legendary Hang Time

As spectacular of an athlete as he was, even Michael Jordan can't beat gravity. Engage young scholars in exploring the science and math behind this hall-of-famer's amazing leaping ability, and see how things would be different on other...

Lesson Planet

#### Practice: Word Problems

Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...

Lesson Planet

#### What is the Vertex of a Quadratic Function?

The vertex of an upward facing parabola is the lowest point on the parabola and is called the minimum. The vertex on a downward facing parabola is the highest point on the parabola and is called the maximum. These are the two...

Lesson Planet

#### What is the Axis of Symmetry of a Quadratic Function?

The graph of a quadratic equation is a parabola. Parabolas are symmetrical. The line that passes through the vertex is called the axis of symmetry. And if the parabolas were folded along this line, the two sides would be symmetrical....

Lesson Planet

#### What is the Minimum of a Quadratic Function?

What is the lowest point of a 'U' shaped parabola called? It's called the minimum of a quadratic function, also known as, the vertex.

Lesson Planet

#### What is the Maximum of a Quadratic Function?

What is the highest point of an upside-down parabola called? It's called the maximum of a quadratic function, also known as, the vertex.

Lesson Planet

#### How Do You Find the Axis of Symmetry for a Quadratic Function?

Short and simple. X equals negative b divided by two(a) is the formula used to find the axis of symmetry. If the quadratic equation is in standard form, identify the values for a, b, and c and plug the values into the formula. Do the...

Lesson Planet

#### How Do You Graph a Quadratic Equation with No Solution?

There are many ways to solve a quadratic equation. Let's check out how to solve a quadratic equation by graphing. But first, let's find the axis of symmetry and the vertex before making a table of values. Write the values as ordered...

Lesson Planet

#### Algebra 2 - Conic Sections - Parabolas

The first minute and a half of this video rambles on before the presenter begins to talk about conic sections. Using a whiteboard, he dissects a cone to show the different shapes that are inside, focusing on parabolas. He gives an...

Lesson Planet

#### Playing with my calculator on the 4th of July

This fun activity guides learners through an exploration of the effects of replacing f(x) with -f(x), f(x) + c, k f(x), and f(x + c). Using graphing calculators, learners experiment with variations of the graph of y = x^2 to design a...

Lesson Planet

#### What’s Your Weather?

Learners explore a mathematical relationship determined by a table of values comparing two quantities in this real-world problem. Using their graphing calculators, they enter data about temperatures from two cities in very different...

Lesson Planet

#### Graphs of Quadratic Functions

The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...

Lesson Planet

#### Graphing Quadratic Functions in Vertex or Intercept Form

Here is a study guide that breaks graphing quadratic functions into three simple steps. Quadratic functions in vertex and intercept form are included. Use during a lesson or afterward for skills practice. Note: Make sure your class has...

Lesson Planet

#### How Do You Graph a Quadratic Equation in Intercept Form?

Watch this video and find out how to graph a quadratic equation when it's in intercept form! After going through the different forms of quadratic equations, an instructor leads viewers through an example problem. For the example problem,...

Lesson Planet

#### What is a Quadratic Function?

This is an introductory video on how to identify a quadratic function. This video explains what a quadratic function is and what the graph of a quadratic function looks like. The instructor goes through 4 examples of quadratic functions...

Lesson Planet

#### What is the Minimum of a Quadratic Function?

Lesson Planet

#### What is the Maximum of a Quadratic Function?

What is the highest point of an upside down parabola called? It's called the maximum of a quadratic function, also known as, the vertex.

Lesson Planet

#### The "U's" Have IT!

Students explore the maximum and minimum values of parabola. For this exponential equations lesson, students use graphing calculators or TI Interactive Software to calculate values of parabola and graph x-intercepts of parabola.

Lesson Planet

#### Exploring Quadratic Data : Transformation Graphing

High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...

Lesson Planet

#### Reading Graphs

Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.

Lesson Planet

#### Discovering Conic Sections in the Motion of Heavenly Bodies

Math scholars study conics and how they are used today. In this mathematical instructional activity, pupils construct and slice cones after viewing a demonstration.

Lesson Planet

#### Exploring Quadratic Data Using Translation and Dilation

Mathematicians analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...

Lesson Planet

#### Bouncing Ball

Young scholars collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a...

Lesson Planet

#### Bouncing Ball

Students graph scatter plots and interpret a quadratic function using TI-Nspire calculator. They also apply the vertex form of a quadratic equation and calculate the maximum value of a parabola. Finally, students identify and interpret...

Lesson Planet

#### Review Graphing Parabolas & Circles

Students review how to graph parabolas. They practice graphing two different parabolas using the vertex and table method. They solve problems related to graphing circles, determining the radius and the center.

Lesson Planet

#### Exploring Basic Equations

Learners explore equations with constants, variables and with exponents. They identify and define variables, constants, exponents, expressions, and equations, as well as give an example of each. Your class will also draw their...

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#### Algebra 2 Fall Semester Review

In this parabolas worksheet, students solve and complete 9 different sets of problems that include functions and graphing. First, they use the number given to substitute into the function. Then, students determine the vertex of each of...

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#### Domain and Range: Graphically and Algebraically

In this domain and range activity, students determine the domain and range of functions depicted on a graph. In addition, they find the domain and range of given functions. This two-page activity contains 28 multi-step problems. ...

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#### Parabolas

Students define a parabola through hands on creation. In this algebra lesson, students analyze the directrix and focus of a parabola. They create a paper parabola and identify the vertex with points equal distance apart from the vertex.

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#### Focus On The Lighthouse

Students explore the equation of a parabola. Given a real life situation concerning a light house and a boat, students use wax paper to model and observe a relationship among given points. They write an equation describing the possible...

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#### Bouncing Ball : Function Families

A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...

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#### Parameter

You have to think fast when dealing with shifting parabolas. Learners work in pairs to explore a given problem by substituting different values for the parameter. They describe the dynamics of the distance between the zeros and explain...

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#### Parabolic Food Fight

Ask your class if they'd like to explore parabolas by flinging grapes across the room. There isn't a child alive who'd say no to that. They determine quadratic functions to fit the parabolic curves of grapes being catapulted with a...

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#### Podcasting Parabolas

Students explore parabolas. In this algebra and technology lesson, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas. Students create a podcast with a...

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#### Building a Quadratic Function

Toothpicks can be a great addition to math class. A simple activity has groups create as many different rectangular enclosures as possible from 20 toothpicks. Determining the area and graphing the results shows them that the situation is...

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#### Graphing Parabolas

Explore graphing quadratic functions by writing them in vertex form. Learners use their skills of completing the square to rewrite standard form in vertex form. They recognize key features in the equation and transfer them to the graph,...

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#### Who Put The Periods in the Dr. Seuss Books?

Celebrate Dr. Seuss' birthday in your algebra class with a fun skills practice worksheet. Given nine quadratic equations, young mathematicians must determine the solutions of each in order to answer the question, "Who put the periods in...

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#### How Do You Graph a Quadratic Equation in Intercept Form?

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#### How Do You Make a Table for a Quadratic Function?

Making a table for a quadratic function is not so complicated. Here are a few tricks to make it easier. One trick is to find the axis of symmetry and another is to find the vertex. These two values can be used to pick values to plug in...

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#### How Do You Determine if a Graph Represents a Linear, Exponential, or Quadratic Function?

What does the graph of a linear equation look like? How about a graph of a quadratic equation? What does a graph of an exponential function look like? Watch this video and see as the instructor illustrates and explains each of these...

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#### How Do You Determine if the Vertex of a Quadratic Function Will be a Maximum or Minimum?

The form of a quadratic function can help you determine if the vertex of a quadratic equation will be a minimum or a maximum of the function. If the coefficient of 'a' in the quadratic form of the equation is positive the vertex will be...

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#### How Do You Find the Vertex of a Quadratic Function?

Trying to find the vertex of a quadratic equation? Remember that the vertex is the minimum or maximum point of the quadratic equation and can be identified on a graph of the equation. First use the axis of symmetry formula to find the...

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#### What is a Parabola?

What do you get when you graph a quadratic function? Not a line, that's the graph of a linear equation. The graph of a quadratic function is a curved line, either opening upward like a smile, or opening downward like a frown. The...

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#### How Do You Graph a Quadratic Function?

What things need to be done to graph a quadratic function? Well, first, find the axis of symmetry, then find the vertex of the parabola, then create a table and plug in some x-values to get the resulting y-values. Now write the values as...

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#### How Do You Solve a Quadratic Equation with Two Solutions by Graphing?

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#### Basic Graphs that Every Algebra Student Should Know!!

A narrator shows us what some basic graphs are and the equations that produce certain graphs. He does not actually explain how to graph but simply shows different types of graphs.

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#### Graphing Calculator Activity: Non-Linear Functions

In this graphing calculator activity, students observe the steps in using a graphing calculator to figure the coordinates in a non-linear function. Individually, they evaluate given a specified function, create a table, sketch a graph of...

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#### Vertex Form of Parabolas

Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry. Solutions are provided.

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#### Rainbows, Bridges & Weather, Oh My!

Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...

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#### Three Methods for Using Quadratic Functions to Model Data

For this modeling data worksheet, students use quadratic functions to model data using three different methods. This worksheet provides explanations and an example. Additionally, students are given the steps to find the maximum or...

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#### Constructing a Parabola

High schoolers construct parabolas using Islamic Mathematics. For this constructing parabolas using Islamic Mathematics lesson, students discuss parts of the parabola including vertex, focus, and directrix. High schoolers construct a...

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#### Graphing Equations

Partner up for a lot of thinking! Partners discuss what they know about solving equations. Then, after teacher modeling, they graph and analyze quadratic equations both by hand and using the TI-calculator to see the resulting parabolas....

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#### Graphing Non-Linear Functions

Graph non-linear functions where the parent graph, y = x^2 and then multiply by 2, 3, and 4. Learners graph each version of the parent graph and compare it with the other graphs. They use the higher the coefficient in front of x^2, the...

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#### Parabolas

In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation. The two page worksheet contains a combination of ten multiple choice and free response questions. Answers...

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#### Parabolas

In this Algebra I/Algebra II worksheet, young scholars determine the vertex and the axis of symmetry of a parabola. The two page worksheet contains a combination of eleven multiple choice and free response questions. Answers are...

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#### Parabolas

In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.

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#### Graphing and Properties of Parabolas

In this graphing instructional activity, students identify the vertex, axis of symmetry, and direction of the opening of a parabola. They graph given equations. This four-page instructional activity contains 18 problems. Answers are...

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#### Using the Distance Formula

In this distance formula worksheet, learners solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...

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#### Make Up Test on Solving Quadratics

In this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...

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#### Quadratic Equations Investigation

Students investigate quadratic equations. In this investigating quadratic equations activity, students graph quadratic equations. Students determine the vertex, x-intercepts, and y-intercepts of quadratic functions. Students determine...

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#### Parabolas

Students investigate parabolas and their equations. In this parabolas and their equations lesson plan, students graph quadratic equations on their graphing calculator. Students find the axis of symmetry of a parabola. Students discuss...

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#### Graphing Quadratic Functions

Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.

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#### Conics as a Locus of Points A Cabri Jr. Activity

Young scholars complete three activities exploring parabolas from geometric definitions. For this geometry lesson, students follow detailed directions to explore parabolas by exploring their relationship to circles.

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#### Explore Graphs and Factors

Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.

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#### Parabolas

Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with the...

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#### Curve Ball

Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...

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#### Properties of Parabolas

Have your learners investigate parabolas. In this Algebra II lesson, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix. Students interpret the equation for a...

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#### Exploring Quadratic Equations

By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...

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#### Complex Roots: A Graphical Solution

Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots. Students determine if parabolas have real or complex roots. Students determine the the axis of symmetry and the vertex given...

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#### Exploring Complex Roots

In exploring the concept of complex roots, learners find the axis of symmetry and roots of parabolas. Then, they discuss what makes a solution complex and how to identify functions with complex roots.

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#### Properties of Parabolas

Learn to identify the properties of parabolas. Students define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...

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#### Graphing at all Levels: It's a Beautiful Thing!

Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...

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#### Up, Down, Right, Left - Function Families

Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...

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#### Properties of Parabolas

In this properties of parabolas instructional activity, learners identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page instructional activity contains 14...

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#### Transformations Worksheet

In this transformations worksheet, students examine graphs and write an equation to match. They examine equations and sketch a graph of the equation. Graphs include parabolas, absolute value and a semi-ellipse. This one-page worksheet...

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#### Practice Test: Vector Equations

In this vector equations worksheet, students sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...

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#### Further Differentiation

In this further differentiation instructional activity, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each...

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#### 8.2 Skills Practice: Parabolas

In this parabolas worksheet, students write equations in standard form. They identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix. Students write an equation for a described parabola. This...

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#### Chapter 10 Review: Parabolas

In this parabola activity, students find the vertex, focus, and directrix of a given parabola and graph the equation. They write equations for a graphed parabolas. Students write an equation of a graphed ellipse. This four page activity...

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#### Algebra 3-4 Review 2nd Semester

In this review learning exercise, students convert radians to degrees, write the equation of cubic functions, find the nth term in a sequence, solve algebraic equations and find the sum in a series This 16 page learning exercise...

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#### Maximum and Minimum Word Problems

In this maximum and minimum activity, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be a maximum....

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#### Algebraic Word Problems

In this algebraic word problems activity, 9th graders solve and complete 8 different word problems. First, they determine the size of a colony of bugs as described. Then, students use the formula provided to calculate the wind speed at...

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#### Parabolas

In this parabolas worksheet, 11th graders solve and complete 9 different problems. First, they graph each parabola given and all of the other information asked. Then, students use each graph shown to write the equation for each parabola...

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#### Quadratics

In this quadratics learning exercise, students find the exact 2 equations for parabolas. Then students solve 3 problems by completing the square, write equations given information, and then solve 1 word problem.

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#### Functions

In this functions worksheet, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a function....

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#### System of Equations

In this system of equations worksheet, students solve and complete 12 different types of problems that include solving various systems of equations. First, they write a system of equations and solve it for the three numbers given. Then,...

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#### Parabolas

In this parabolas worksheet, 11th graders solve and graph 16 various types of problems that include factoring and solving systems of equations. First, they determine the exact equation of a parabola with a given vertex and line passing...

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#### Circles and Parabolas

In this circles and parabolas, learners write and graph equations for 14 problems. Students locate the center and radius for 8 circles. Learners write equations for 4 parabolas.

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#### Investigating Parabolas

In this investigating parabolas worksheet, 9th graders solve and graph 7 different problems that include graphing various equations that represent parabolas. First, they sketch their graphs to each problem. Then, students determine what...

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#### Graphs of Parabolas

In this graphs of parabolas worksheet, 10th graders solve 10 different problems that include the graphs of various parabolas. First, they graph the parabola given the equation to determine which way the parabola opens. Then, students...

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#### Parabolic Equations

In this parabolic worksheet, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page worksheet...

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#### Vertex and Parabolas

In this math worksheet, students are instructed to find the vertex in 4 equations. Students are asked why one is in standard form and one is in vertex form.

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#### Graphs of Quadratic Functions

In this quadratic function worksheet, young scholars solve and graph quadratic functions. Functions contain both positive and negative integers, fractions, and perfect squares. Graph paper is located below each equation. There are 36...

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#### Exploring Parabolas

Students engage in a study of the parabola that is displayed on a graph to investigate the fall of a victim from a bridge to determine if it was a crime committed as foul play. They are given the opportunity to try example problems to...