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Use an area model representing a quadratic expression to connect factored and unfactored form of the same expression.

Use an area model representing a quadratic expression to connect factored and unfactored form of the same expression.

Connect area models to unfactored forms of quadratic expressions by looking for related chunks in each representation.

Use the structure of a binomial expansion to connect this to an area model for quadratic functions

Students are introduced to completing the square and the quadratic formula and make connections between these two processes for solving quadratic equations and their corresponding quadratic functions.

Students will use the structure of the terms of a quadratic expression to connect quadratic expressions to algebra tiles in order.

Connect standard form and vertex form of a quadratic to an area model representation to see how negative values of h in the vertex form impact the visual and the standard form.

Use the structure of a visual to quickly count the number of squares in the shape.

Change the form of either an equation given in vertex form or an equation given in factored form to make connections between the two forms.

Chunk sets of factored and visual area models to make connections between the expressions and the area models.

This blog post by Bowen Kerins describes some different methods students can use to factor quadratic expressions of the form ax2 + bx + c.

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.