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Khan Academy

Khan Academy: Vertices and Direction of a Hyperbola

For Students 9th - 10th
Given the equation of a hyperbola, find its graph by considering its vertices and direction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Quadratic Functions in Intercept Form

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Find the x-intercepts and vertex of a quadratic function by writing it in intercept form and solve real-world problems. Students examine guided notes, review guided...
Handout
Purple Math

Purplemath: Completing the Square: Deriving the Vertex Formula

For Students 9th - 10th Standards
This resource describes in steps how to derive the vertex formula.
Activity
Texas Instruments

Texas Instruments: The Standard Form of a Quadratic Equation

For Teachers 9th - 10th Standards
In this activity, students explore the standard form of a quadratic equation, y = ax 2 + bx + c. They explore how the x-intercepts (zeros), y-intercept, and vertex are related to the graph of the standard form of a quadratic function.
Activity
Texas Instruments

Texas Instruments: Standard Form of a Parabola

For Teachers 9th - 10th
This activity will help students work with the standard form of a parabola y = a(x - h)^2 + k by writing an equation given the vertex and a point.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Quadratic Functions in Intercept Form

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Understanding the graphs of a parabola given equations. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Activity
Texas Instruments

Texas Instruments: Transforming Parabolas

For Teachers 9th - 10th Standards
1. Students will be able to review how to find the vertex of a parabola using a graphing calculator. 2. Students will be able to observe the relationship between the values of a, h and k and the graph of a parabola in vertex form. 3....
Unit Plan
University of Georgia

University of Georgia: Writing Quadratic Equations

For Students 9th - 10th Standards
In this lesson, students will learn how to find an equation of a quadratic function when given the vertex of the parabola, and how to find the equation that defines a quadratic function when given three points.
Activity
Texas Instruments

Texas Instruments: Exploring Quadratic Data With Transformation Graphing

For Teachers 9th - 10th
Students practice with the parameters of the vertex form of the parabola and their effect on the shape of the curve. They use this concept to find a quadratic model. They also use translation and dilation to change the general parabola.
Interactive
Quia

Quia: Graphing Quadratic Functions

For Students 9th - 10th Standards
Jeopardy type of a game will ask students to practice working with the three forms of quadratic equations. Can they: identify the form of equation, find the vertex, find the x-intercepts, identify what the graph looks like?
Activity
Texas Instruments

Texas Instruments: Graphing Families of Quadratic Functions

For Teachers 9th - 10th Standards
Students can use the Transform app to explore families of quadratic functions. Generalization about the effect of a, b and c coefficients have on the shape and position of the graph in general form, and the effect of a, h, and k in...
Activity
Texas Instruments

Texas Instruments: Curve Ball Adventure 12

For Teachers 6th - 8th
In this adventure , students will make a Height-Time plot of a bouncing ball using the CBR 2. They graph height as a function of time. They identify and understand the vertex form of a quadratic equation that is generated to describe the...
Activity
Texas Instruments

Texas Instruments: Bouncing Ball

For Teachers 9th - 10th Standards
In this experiment, students collect the height versus time data of a bouncing ball using the CBR 2. This activity investigates the values of height, time, and the coefficient A in the quadratic equation, which describes the behavior of...
Activity
Texas Instruments

Texas Instruments: Height and Time for a Bouncing Ball

For Teachers 9th - 10th
In this activity, students' will record the motion of a bouncing ball using a motion detector. They will then model a bounce using both the general and vertex forms of the parabola.
Lesson Plan
Other

Nearpod: Quadratic Equations: Completing the Square

For Teachers 9th - 10th Standards
In this lesson on completing the square, students explore the connection between area models and perfect square trinomials. They also learn how to complete the square to transform a quadratic equation into vertex form.
Lesson Plan
PBS

Pbs Learning Media: Math + Arts: Abstract Sculpture & Cubes

For Teachers 3rd - 5th Standards
In this lesson, students will form cubes and discuss their attributes including edges, faces, vertices, and angles. Media resources and teacher materials are included.
Activity
Other

Soft Chalk Llc.: Polygons in the Coordinate Plane

For Teachers 6th - 8th Standards
This site provides short lesson reviews on how to plot points on a coordinate plane to form polygons. It also gives quick checks in between.
Handout
CK-12 Foundation

Ck 12: Algebra: Graphing Quadratic Equations Study Guide

For Students 9th - 10th
This comprehensive study guide highlights the main terms and formulas needed to review graphing quadratic equations. Examples are included.
Activity
Texas Instruments

Texas Instruments: Parabolas: Numb3 Rs: Structural Corruption

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson helps students understand how changing the values of y=a(x-b)^2+c changes the graph of the associated parabola. This is framed in the context of a bridge jumper, who enters the...
Lesson Plan
Annenberg Foundation

Annenberg Learner: Insights Into Algebra 1. Workshop 4

For Teachers 9th - 10th Standards
Determine the height of a bouncing ball by creating a quadratic function for each.
Website
Purple Math

Purplemath: Conics: Parabolas: Introduction

For Students 9th - 10th Standards
This reference material introduces the terms and equations related to parabolas in the context of conics. Also, relates concepts to previously-learned material and shows how to 'read' from the 'conics' form of the parabola equation.
Handout
CK-12 Foundation

Ck 12: Algebra: Solving Quadratic Equations Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review solving quadratic equations. Examples are included.
Handout
National Council of Teachers of Mathematics

The Math Forum: Parabolas

For Students 9th - 10th Standards
A brief overview on calculating various measures of segments, like focus to vertex and vertex to directix, is given. Additionally, equations of parabolas in general, standard, and vertex forms are listed.
PPT
Sophia Learning

Sophia: Finding the Equation for an Ellipse: Lesson 2

For Students 9th - 10th Standards
This lesson explains the steps for how to find the equation for an ellipse given its foci and vertices. It is 2 of 4 in the series titled "Finding The Equation For An Ellipse."

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