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Khan Academy
Khan Academy: Vertices and Direction of a Hyperbola
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.
CK-12 Foundation
Ck 12: Algebra: Graphs of Quadratic Functions in Intercept Form
[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...
Purple Math
Purplemath: Completing the Square: Deriving the Vertex Formula
This resource describes in steps how to derive the vertex formula.
Texas Instruments
Texas Instruments: The Standard Form of a Quadratic Equation
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.
Texas Instruments
Texas Instruments: Standard Form of a Parabola
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.
CK-12 Foundation
Ck 12: Algebra: Graphs of Quadratic Functions in Intercept Form
[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.
Texas Instruments
Texas Instruments: Transforming Parabolas
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....
University of Georgia
University of Georgia: Writing Quadratic Equations
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.
Texas Instruments
Texas Instruments: Exploring Quadratic Data With Transformation Graphing
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.
Quia
Quia: Graphing Quadratic Functions
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?
Texas Instruments
Texas Instruments: Graphing Families of Quadratic Functions
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...
Texas Instruments
Texas Instruments: Curve Ball Adventure 12
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...
Texas Instruments
Texas Instruments: Bouncing Ball
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...
Texas Instruments
Texas Instruments: Height and Time for a Bouncing Ball
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.
Other
Nearpod: Quadratic Equations: Completing the Square
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.
PBS
Pbs Learning Media: Math + Arts: Abstract Sculpture & Cubes
In this lesson, students will form cubes and discuss their attributes including edges, faces, vertices, and angles. Media resources and teacher materials are included.
Other
Soft Chalk Llc.: Polygons in the Coordinate Plane
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.
CK-12 Foundation
Ck 12: Algebra: Graphing Quadratic Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review graphing quadratic equations. Examples are included.
Texas Instruments
Texas Instruments: Parabolas: Numb3 Rs: Structural Corruption
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...
Annenberg Foundation
Annenberg Learner: Insights Into Algebra 1. Workshop 4
Determine the height of a bouncing ball by creating a quadratic function for each.
Purple Math
Purplemath: Conics: Parabolas: Introduction
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.
CK-12 Foundation
Ck 12: Algebra: Solving Quadratic Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review solving quadratic equations. Examples are included.
National Council of Teachers of Mathematics
The Math Forum: Parabolas
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.
Sophia Learning
Sophia: Finding the Equation for an Ellipse: Lesson 2
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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