Graphing Quadratics

このシミュレーションは、まだこの言語に翻訳されていません。以下の英語版にアクセスできます。

Graphing Quadratics スクリーンショット  ダウンロード  組み込む
  • グラフ作成
  • Parabola
  • Quadratic Function
Flash Logo Original Sim and Translations

コンテンツ

  • グラフ作成
  • 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.

学習目標例

  • 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 1.1.2

Teacher Tips

インストラクター用ガイド(pdf)には、PhETチームが作成したヒント集が含まれています。 ( 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 高校
中学
Guided
Discuss
証明
数学
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling 高校 Guided 数学
Mapping of PhET and IBDP Physics Jaya Ramchandani 高校 その他 物理学

言語 Download or Run Tips
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カザフ語 All Kazakh Download Run now Квадрат функция графигі
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スペイン語 All español Download Run now Graficando Cuadráticas
スペイン語(ペルー) All español (Perú) Download Run now Graficando Cuadráticas
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スロバキア語 All Slovenčina Download Run now Grafy kvadratických funkcií
セルビア語 All Српски Download Run now График квадратне функције
タミル語 All Tamil Download Run now பரவளையி வரைபு
デンマーク語 All Dansk Download Run now Tegning af andengrads-ligninger
ドイツ語 All Deutsch Download Run now Quadratische Kurven
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ブラジルポルトガル語 All português (Brasil) Download Run now Gráfico de Quadráticas
フランス語 All français Download Run now Graphiques quadratiques
ベトナム語 All Tiếng Việt Download Run now Đồ thị hàm bậc 2
ボスニア語 All Bosanski Download Run now Grafik kvadratne funkcije
ポーランド語 All polski Download Run now Wykresy funkcji kwadratowych
モンゴル語 All Монгол (Монгол) Download Run now Квадрат Функцын График
ラトビア語 All Latviešu Download Run now Kvadrātvienādojumu zīmēšana
ロシア語 All русский Download Run now График квадратичной функции
中国語-簡体字 All 中文 (中国) Download Run now 二次函数图像
中国語-繁体字 All 中文 (台灣) Download Run now Graphing Quadratics_繪製二次曲線
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The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
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Android:
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Chromebook:
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The HTML5 and Flash PhET sims are supported on all Chromebooks.
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Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

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