Solving Quadratic Equations: Cutting Corners

Description

This lesson unit is intended to help teachers assess how well students are able to solve quadratics in one variable. In particular, the lesson will help teachers identify and help students who have the following difficulties: making sense of a real life situation and deciding on the math to apply to the problem; solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring; and interpreting results in the context of a real life situation.

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10 Learning Standards

Teaches CCSS.Math.Content.HSA-REI.A.2 (Supporting alignment)
2. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

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IOER Community Rating: Not Rated

Teaches CCSS.Math.Content.HSA-REI.B.3 (Supporting alignment)
3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

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Teaches CCSS.Math.Content.HSA-REI.B.4 (Supporting alignment)
4. Solve quadratic equations in one variable.

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IOER Community Rating: Not Rated

Teaches CCSS.Math.Content.HSG-MG.A.1 (Supporting alignment)
1. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).?

Alignment of the Resource to this Standard

IOER Community Rating: Not Rated

Teaches CCSS.Math.Content.HSG-MG.A.2 (Supporting alignment)
2. Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).?

Alignment of the Resource to this Standard

IOER Community Rating: Not Rated

Teaches CCSS.Math.Content.HSG-MG.A.3 (Supporting alignment)
3. Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).?

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Teaches CCSS.Math.Practice.MP1 (Supporting alignment)
Make sense of problems and persevere in solving them.

Alignment of the Resource to this Standard

IOER Community Rating: Not Rated

Teaches CCSS.Math.Practice.MP2 (Supporting alignment)
Reason abstractly and quantitatively.

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Teaches CCSS.Math.Practice.MP3 (Supporting alignment)
Construct viable arguments and critique the reasoning of others.

Alignment of the Resource to this Standard

IOER Community Rating: Not Rated

Teaches CCSS.Math.Practice.MP4 (Supporting alignment)
Model with mathematics.

Alignment of the Resource to this Standard

IOER Community Rating: Not Rated

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