Graphing Quadratics

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Graphing Quadratics - náhled obrazovky  Stáhnout  Sdílet
  • Grafy
  • Parabola
  • Quadratic Function
Flash Logo Original Sim and Translations

Obsah

  • Grafy
  • Parabola
  • Quadratic Function
  • Vertex

Description

Discover how changing coefficients changes the shape of a curve. View the graphs of individual terms (e.g. y=bx) to see how they add to generate the polynomial curve. Generate definitions for vertex, roots, and axis of symmetry. Compare different forms of a quadratic function. Define a curve by its focus and directrix.

Příklady učebních cílů

  • Describe how changing the coefficients of a quadratic function changes the graph of the function.
  • Predict how the graph of a parabola will change if the coefficients or constant are varied.
  • Identify the vertex, axis of symmetry, roots, and directrix for the graph of a quadratic equation.
  • Use the vertex form of a quadratic function to describe the graph of the function.
  • Describe the relationship between the focus and directrix and resulting parabola.
  • Predict the graph of a parabola given a focus and directrix.

Standards Alignment

Common Core - Math

8.F.A.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
HSF-IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
HSF-IF.C.7a
Graph linear and quadratic functions and show intercepts, maxima, and minima.
HSF-IF.C.8
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
HSF-IF.C.8a
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
HSG-GPE.A.2
Derive the equation of a parabola given a focus and directrix.
Version 1.1.5

Teacher Tips

Učitelská příručka (pdf) obsahuje tipy poskytnuté od členů týmu PhET. ( PDF ).

Teacher-Submitted Activities

Parabolas on the Move! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Lauren Rider, Alayna Vuylsteke
ZŠ II.st.
Demo
Discuss
Guided
Matematika
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling Guided Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Tento příspěvek byl navržen PhET. Diana López
ZŠ II.st.
Ostatní Chemie
Fyzika
Biologie
Matematika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Tento příspěvek byl navržen PhET. Diana López UG-začínající
Ostatní Chemie
Matematika
Fyzika
Mapping of PhET and IBDP Physics Jaya Ramchandani Ostatní Fyzika
Uma Proposta de Estudo de Pontos de Máximo e Mínimo de uma Função Quadrática Emanuel Viana ZŠ II.st.
UG-začínající
Lab Matematika
Função Quadrática aplicada ao OA "Gráfico de Quadráticas" Renata Passos Machado Vieira e Francisco Regis Vieira Alves
Lab
Ostatní
Matematika
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas Remote
Matematika

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