What do we know about functions: PARABOLA? by Amanda Rabourn https://padlet.com/arabourn/KWL_parabola KWL Chart; Algebra II (Grade 10/11) en-us 2019-04-03 17:14:38 UTC 2026-01-13 04:53:00 UTC hello@padlet.com https://padlet-uploads.storage.googleapis.com/367219894/86498f9d3d3eaf05257946068db1b3ea/maths.png What is a vertex? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348189336 Where a parabola makes its sharpest turn: the "peak" of the parabola.

It is on the parabola's axis of symmetry.

(h, k)

Math Is Fun - Parabolic Vertex]]> 2019-04-03 17:14:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348189336 How are the focus and directrix related? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348189337 A parabola is the set of points in a plane that are the same distance from a given point (focus) and a given line (directrix) in that plane. ]]> 2019-04-03 17:14:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348189337 What is a vertex? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348189339 2019-04-03 17:14:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348189339 What is a focus? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348189341 2019-04-03 17:14:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348189341 What is a directrix? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348189342 2019-04-03 17:14:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348189342 Is a quadratic formula arabourn https://padlet.com/arabourn/KWL_parabola/wish/348189344 A polynomial equation]]> 2019-04-03 17:14:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348189344 Looks like this... arabourn https://padlet.com/arabourn/KWL_parabola/wish/348189346 Like a U.]]> 2019-04-03 17:14:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348189346 Icon arabourn https://padlet.com/arabourn/KWL_parabola/wish/348200517 Parabolic Icon]]> 2019-04-03 17:33:26 UTC https://padlet.com/arabourn/KWL_parabola/wish/348200517 Familiar from Algebra I arabourn https://padlet.com/arabourn/KWL_parabola/wish/348201759 Grade 9]]> 2019-04-03 17:35:47 UTC https://padlet.com/arabourn/KWL_parabola/wish/348201759 Used for projectiles arabourn https://padlet.com/arabourn/KWL_parabola/wish/348203571 2019-04-03 17:39:10 UTC https://padlet.com/arabourn/KWL_parabola/wish/348203571 Zeros/Roots arabourn https://padlet.com/arabourn/KWL_parabola/wish/348205042 Can solve for roots by factoring, quadratic formula, or completing the square.]]> 2019-04-03 17:41:45 UTC https://padlet.com/arabourn/KWL_parabola/wish/348205042 Activity #3: Plan of Action arabourn https://padlet.com/arabourn/KWL_parabola/wish/348206361 Includes TEKS tested in lesson.
Previous Assignment - Google Doc]]> 2019-04-03 17:44:07 UTC https://padlet.com/arabourn/KWL_parabola/wish/348206361 Other TEKS Used for Lesson arabourn https://padlet.com/arabourn/KWL_parabola/wish/348206620 §111.40. Algebra II
  • (c)  Knowledge and skills.
    • (4)  Quadratic and square root functions, equations, and inequalities. The student applies mathematical processes to understand that quadratic and square root functions, equations, and quadratic inequalities can be used to model situations, solve problems, and make predictions. The student is expected to:
      • (B)  write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening
]]> 2019-04-03 17:44:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348206620 Attributes arabourn https://padlet.com/arabourn/KWL_parabola/wish/348207873 How we describe a function.]]> 2019-04-03 17:47:10 UTC https://padlet.com/arabourn/KWL_parabola/wish/348207873 How do I find the axis of symmetry? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348210876 2019-04-03 17:53:11 UTC https://padlet.com/arabourn/KWL_parabola/wish/348210876 How do I determine the direction of opening? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348211076 2019-04-03 17:53:33 UTC https://padlet.com/arabourn/KWL_parabola/wish/348211076 How does all this relate to a parabola? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348214666 2019-04-03 18:01:15 UTC https://padlet.com/arabourn/KWL_parabola/wish/348214666 What is a focus? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348234883 A fixed point that describes the distance to the curve of a parabola of any point.

Applied to a parabola's reflector property.

Vertical: (h, k+1/(4a))
Horizontal: (h+1/(4a), k)

Math Is Fun - Parabola]]> 2019-04-03 18:39:38 UTC https://padlet.com/arabourn/KWL_parabola/wish/348234883 Reflector Property arabourn https://padlet.com/arabourn/KWL_parabola/wish/348238091 Any ray parallel to the axis of symmetry gets reflected off the surface straight to the focus.

And that explains why that dot is called the focus ...
... because that's where all the rays get focused!

Math Is Fun - Parabola
]]> 2019-04-03 18:45:17 UTC https://padlet.com/arabourn/KWL_parabola/wish/348238091 What is a directrix? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348240160 A fixed straight line that describes the distance to the curve of the parabola of any point.

Vertical: y=k-1/(4a)
Horizontal: x=h-1/(4a)

Math Is Fun - Parabola]]> 2019-04-03 18:49:20 UTC https://padlet.com/arabourn/KWL_parabola/wish/348240160 Axis of Symmetry arabourn https://padlet.com/arabourn/KWL_parabola/wish/348255081
The line passing through the focus and vertex of a parabola. The axis of symmetry is perpendicular to the directrix.

Vertical: x=h
Horizontal: y=k

CliffNotes - Parabola]]> 2019-04-03 19:23:47 UTC https://padlet.com/arabourn/KWL_parabola/wish/348255081 How do I write the equation of a parabola? arabourn https://padlet.com/arabourn/KWL_parabola/wish/348259282 Vertically and horizontally]]> 2019-04-03 19:35:09 UTC https://padlet.com/arabourn/KWL_parabola/wish/348259282 Equation of a Parabola (Direction of Opening) arabourn https://padlet.com/arabourn/KWL_parabola/wish/348259864 The equation used will convey which direction the parabola will open.

Vertical: y=a(x – h)2 + k
  • Up: +a
  • Down: -a
Horizontal: x = a(y – k)2 + h
  • Left: -a
  • Right: +a

CliffNotes - Parabola
MathWords - Parabola
]]> 2019-04-03 19:36:51 UTC https://padlet.com/arabourn/KWL_parabola/wish/348259864 Parabola arabourn https://padlet.com/arabourn/KWL_parabola/wish/348267619 We can plug all this information into the equation to be able to graph the function without a calculator, but by hand. 

On the other hand, information given by the graph or equation can allow us to solve for its characteristics. ]]> 2019-04-03 20:02:08 UTC https://padlet.com/arabourn/KWL_parabola/wish/348267619 High School Math TEKS arabourn https://padlet.com/arabourn/KWL_parabola/wish/348330378 TEKS]]> 2019-04-04 01:13:40 UTC https://padlet.com/arabourn/KWL_parabola/wish/348330378 Books Used arabourn https://padlet.com/arabourn/KWL_parabola/wish/348342962
  • Algebra II Workbook for Dummies
  • TExES Mathematics 7-12 (235) Secrets Study Guide
    • ]]>     2019-04-04 02:18:23 UTC https://padlet.com/arabourn/KWL_parabola/wish/348342962