Ability to solve quadratic equations using various Attend to methods and recognize the most efficient method precision. Ability to use the value of the discriminant to determine if a quadratic equation has one double solution, two unique Look for and solutions or no real solutions make use of structure. Look for and express regularity in repeated reasoning. A.REI.7 Solve a simple system consisting of a linear equation and a Make sense of quadratic equation in two variables algebraically and graphically. problems and For example, find the points of intersection between the line y = –3x persevere in and the circle x2 + y2 = 3. solving them. Include systems consisting of one linear and one quadratic Note: Reason abstractly equation. Include systems that lead to work with fractions. For and example, finding the intersections between to the point on the quantitatively. unit circle, corresponding to the Pythagorean triple 32+42=52. Construct viable Essential Skills and Knowledge Solve systems of arguments and Knowledge of the algebraic and graphic representations equations. of quadratic relations as well as quadratic functions critique the reasoning of others. Model with mathematics. Use appropriate tools strategically.
Ability to solve quadratic equations using various methods and recognize the most efficient method Ability to use the value of the discriminant to determine if a quadratic equation has one double solution, two unique solutions or no real solutions Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Solve systems of equations. A.REI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x2 + y2 = 3. Note: Include systems consisting of one linear and one quadratic equation. Include systems that lead to work with fractions. For example, finding the intersections between to the point on the unit circle, corresponding to the Pythagorean triple 32+42=52. Essential Skills and Knowledge Knowledge of the algebraic and graphic representations of quadratic relations as well as quadratic functions Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically.
Algebra_I_Framework.docx