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"I Can" Statement and Core Standards
"I Can" Statement and Core Standards
Student Statement
I am able to find all real roots of a quadratic function using square roots, factoring, and the quadratic formula.
Common Core Standards
SSE.A.1.A: Interpret parts of an expression, such as terms, factors, and coefficients.
CED.A.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
REI.B.4.B: Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions.
Problem Exemplars
Problem Exemplars
The following are examples of mistakes that should give you an idea what types of mistakes I am looking for at each level. There are a variety of possible errors while solving problems like this, so this is not an exhaustive list.
As a reminder, here is the scale that is used in class to determine your ability level for each topic:
Solving Quadratic Equations.pdfSolving Quadratic Equations Problem Randomizer
Solving Quadratic Equations Problem Randomizer
Below you can select between solving quadratics using only Square Root, only Factoring, or a mixed (which will include use of the Quadratic Formula). Use them to find all solutions to the problem (remember: quadratic equations can have 0, 1, or 2 solutions). Reveal the answers with the "Check Answers" button. Round all answers to the nearest thousandth when working the problem (for example: 2.3755 would become 2.376).
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