Use factoring and completing the square

Start lessonBegins with Factoring and completing the square · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSF.IF.C.8.a

**HSF.IF.C.8.a**: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

HSF.IF.C.8.a: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

What you'll learn

Factor a quadratic function to reveal its zeros and sketch the corresponding x-intercepts on the graph
Complete the square to rewrite a quadratic in vertex form, revealing the vertex (extreme value) and axis of symmetry
Identify the axis of symmetry from vertex form as x = h and use it to describe the graph's line of symmetry
Determine whether the vertex represents a maximum or minimum and interpret this in applied contexts
Use the zeros and vertex together to describe the complete behavior of a quadratic: where it crosses zero, where it reaches its extreme, and whether it opens up or down
Interpret factored and vertex forms in real-world contexts, translating algebraic properties into meaningful statements about the situation

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