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Area Models and Quadratic Expressions

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Area Models and Quadratic Expressions

Use the structure of a set of areas and a set of quadratic expressions to make connections between the expressions and the areas.

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Area of Rectangles

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Area of Rectangles

Students will use the structure of a visual pattern that is growing in two dimensions to calculate the area of a subsequent figure. Attention should be paid to the connection between area and quadratic functions.

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Colorful Growing Sequences

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Colorful Growing Sequences

Use the structure of a set, including the color, of growing sequences to make matches to corresponding quadratic functions.

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End of Unit Assessment (Algebra I, Unit 5)

Algebra I
Unit 5: Quadratic Functions
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End of Unit Assessment (Algebra I, Unit 5)

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization. 

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Equivalent Representations

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Equivalent Representations

During this week students create and study different representations of quadratic functions in order to make connections between the different representations. Some of the parts of these activities could easily be turned into Connecting Representations task instead of a worksheet. 

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Forming Quadratics

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Forming Quadratics

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

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Graphs and Equations

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Graphs and Equations

Use the structure of a set of graphs of parabolas and a set of quadratic equations to make connections related to the direction the graph opens and the y-intercept of the graph.

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Growing Hexagons

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Growing Hexagons

Make connections between the operations used to model how a figure changes in a pattern to predict future values.

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Instructions for Functions

Algebra I
Unit 5: Quadratic Functions
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Instructions for Functions

This page contains instructions on how to use the initial task, Functions, to find out what your students already know about working with graphs and equations of linear and non-linear functions.

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Making Connections to Standard Form

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Making Connections to Standard Form

This goal of this lesson is for students in making connections between the standard form of a quadratic function (where a = 1) and the graph or table of that function.

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Quadratic Function Forms

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Quadratic Function Forms

Students will match quadratic functions in standard, vertex or factored form to their corresponding graphs. Students will make connections between key features of the graphs to elements of the functions in each form.

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Quadratic functions

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Quadratic functions

This multiple page resource from the Mathematics Visions Project could be used to help students develop further understanding of quadratic functions. There are a variety of different activities, including fluency-building activities, so you can draw upon this resource for multiple different days.

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