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Quadratic Transformations Discovery Lesson - Graphing Quadratics in Vertex Form

Rated 4.96 out of 5, based on 36 reviews
5.0ย (36 ratings)
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Grade Levels
9th - 10th
Resource Type
Standards
Formats Included
  • PDF
Pages
28 pages
$5.00
$5.00
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What educators are saying

I think this is a great discovery lesson. I have done a similar lesson where the students graph them to notice the transformations, but this lesson is so organized. I like how they are noticing and wondering and they make a prediction. Great resource and lessons.
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Description

This inquiry resource for quadratics will introduce students to parabolas, the parent function, shifts to the graph, vertex form, and standard form. The discovery stations, lessons, and practice problems give an in depth study of vertex form.

This lesson pack is designed to making planning your unit easy. Everything is included to help you facilitate the learning as students progress through the activities.

The resource includes the following 7 parts:

  • Intro: Students graph the quadratic parent function and learn important terms.
  • Observations Stations: Students visit 7 stations to notice, wonder, and predict shifts to the quadratic graph as a result of changes to the equation.
  • Testing Predictions: Students test the predictions they made in the previous part by creating tables of values and graphing.
  • Challenge: Students use what they learned in the previous parts to graph challenging quadratic equations in vertex form.
  • Forms of Quadratics: Students explore the benefits of vertex form and standard form.
  • Finding Zeros in Vertex Form: Students substitute 0 for y to identify the zeros.
  • Vertex Form Practice: Students practice everything they have learned about quadratics in an assortment of graphing and real world problems.

Many of the parts work great for partners!

The discovery format of the lessons included will help your students to truly understand how quadratic equations work. The majority of the graphing is done by hand. Students will gain confidence in their own abilities to graph quadratics instead of relying on a calculator.

The focus of this pack of lessons is vertex form. The lessons could be used after standard form is taught, but I recommend starting with these lessons and introducing vertex form first!

Total Pages
28 pages
Answer Key
Included
Teaching Duration
1 Week
Last updated Jul 31st, 2018
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Standards

to see state-specific standards (only available in the US).
Create equations and inequalities in one variable and use them to solve problems.
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Solve quadratic equations by inspection (e.g., for ๐˜นยฒ = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as ๐˜ข ยฑ ๐˜ฃ๐˜ช for real numbers ๐˜ข and ๐˜ฃ.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

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