Math Planet
Math Planet: The Graph of Y = Ax^2 + Bx + C
A nonlinear function that can be written on the standard form ax^2 + bx + c,where a is not = 0, is called a quadratic function. All quadratic functions hava a U-shaped graph called a parabola.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Defining Parabolas Geometrically
The purpose of this task is to show that the points on a parabola can be characterized by being equidistant from a point (the focus) and a line (the directrix). Aligns with HSG-GPE.A.2.
Illustrative Mathematics
Illustrative Mathematics: A rei.d.10: Collinear Points
This task leads students through a series of problems which illustrate a crucial interplay between algebra and geometry. Aligns with A-REI.D.10.
University of St. Andrews (UK)
University of St. Andrews: Contributions of Apollonius
This site, provided by the University of St. Andrews in Scotland, describes the contributions of Apollonius of Perga.
Illustrative Mathematics
Illustrative Mathematics: F if.c.7.a, a sse.b.3, F if.c.7: Graphs of Quadratic
During this task, students will realize that equivalent expressions produce the same graph. The lesson plan will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.
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.
Purple Math
Purplemath: Graphing Quadratic Functions: Introduction
The most basic quadratic is y = x2. The general technique for graphing quadratics is the same as for graphing linear equations. The quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear...
Khan Academy
Khan Academy: Equation of a Parabola From Focus and Directrix
Given the focus and the directrix of a parabola, find its equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Analysis: Graphs of Quadratic Functions
[Free Registration/Login may be required to access all resource tools.] Students review of quadratic function graphing methods. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
CK-12 Foundation
Ck 12: Analysis: General Forms of Conic Sections
[Free Registration/Login may be required to access all resource tools.] In this lesson students review the general forms of conic section equations, identifying conic sections from their equations. Students examine guided notes, review...
CK-12 Foundation
Ck 12: Algebra: Factor Polynomials Using Special Products
[Free Registration/Login may be required to access all resource tools.] This lesson covers factoring perfect square trinomials and the difference of squares.
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.
Other
Gobierno De Navarra: Estudio De Las Conicas
Learn about conics sections with these interactive activities.
Alabama Learning Exchange
Alex: Conic Sections: Discovering the Degenerates
Through a mixture of online exploration, and teacher instruction, students will discover how the degenerate forms of the conic sections are formed and will be able to identify the degenerate case of each conic section.
Alabama Learning Exchange
Alex: Conic Sections: Playing With Parabolas
Through a mixture of online exploration, and teacher instruction, students will discover how parabolas are formed and will be able to use the key components from a graph (vertex, focus and directrix,) to generate the equation of a graph.
Khan Academy
Khan Academy: Touching Point?
This is a 7-problem quiz/practice to confirm your understanding of the construction.
Khan Academy
Khan Academy: Exploring the Parabola Construction
This is a 7-problem quiz/practice about parabola construction such as Where does the string touch the parabola?
Khan Academy
Khan Academy: Start Here! Ready to Dive Into Some Math?
This is an overview this lesson; we're going to develop a powerful formula that will allow us to easily calculate points along a parabolic arc. It also explains what you need to do know before you begin.
Khan Academy
Khan Academy: Start Here! Overview of Modeling Grass With Parabolas
This is an overview of modeling grass with parabolas. In this topic we're going to explore how realistic blades of grass are modeled using parabolic arcs. It include two lessons: Lesson 1: Modeling grass with parabolas (Grades 5+) and...
Khan Academy
Khan Academy: Hands on Activity: String Art
This is a hands on activity designed to follow the first lesson on string art. Students will use needle and thread to create interesting string art designs. Specific steps are provided with suggested times for each. The activity is most...
Khan Academy
Khan Academy: Parabolic Curve Matching
Match parabolic curves using a 3-point polygon in this seven-problem quiz/practice on parabolic curve matching.
Khan Academy
Khan Academy: String Art Construction
Create a parabola by adding strings between two control arms.
Cool Math
Coolmath: Pre Calculus More on Sideways Parabolas
This CoolMath resource provides extended learning on the topic of "sideways parabolas" and how to graph them.
Math Open Reference
Math Open Reference: Function Composition the Chain Rule
Learn about the chain rule with this helpful reference tool. Provides a detailed definition, examples, and an animation that enhances further explanation. Includes links to related topics.