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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.

Characteristics of Quadratics

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Characteristics of Quadratics

Students analyze different representations of quadratic functions to determine what characteristics of quadratic functions are true for every quadratic function, and then extend their understanding to analyze polynomial functions.

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.

Distinguishing Quadratics

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Distinguishing Quadratics

This Core Resource focuses on how we can distinguish quadratic functions from linear and exponential functions based on their properties when represented as sequences, tables, graphs, and using rate of change to find intervals of a function that are increasing, decreasing, positive, negative, and symmetry of a function (if any).    

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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. 

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.

Graphs and Descriptions of Parabolas

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Graphs and Descriptions of Parabolas

Students will connect a graph of a parabola with a written description of its axis and number of roots. 

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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.

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.

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.

Oh Snap! What's the Relationship?

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Oh Snap! What's the Relationship?

The objective is for students to be able to create a visual representation, from the sequence of numbers, that shows the correspondence between the function given and the numbers produced by that function.

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.