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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.

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. Students also distinguish quadratics from other functions using rate of change to find intervals of a function that are increasing, decreasing, positive, and negative, and using symmetry of a function (if any). 

Distinguishing Quadratics

Resource:
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. 

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.

Functions - Teacher Materials

Algebra I
Unit 5: Quadratic Functions
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Functions - Teacher Materials

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.

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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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.

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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Quadratic Graphs and Scenarios

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Quadratic Graphs and Scenarios

Students will connect the graph of a quadratic function with a scenario that could be represented by it.

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Quadratic Sequence

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Quadratic Sequence

Use the structure of a quadratic sequence to find a missing value.

Quadratic Sequences

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Quadratic Sequences

Use the structure of a set of sequences to match these sequences to quadratic functions.