quadratic formula and factoring Ability to use the value of the as appropriate to the initial form discriminant to determine if a of the equations. quadratic equation has one Recognize when the quadratic formula gives complex double solution, two unique solutions and write them as for real solutions or no real solutions numbers a and b. A.REI.7 geometric Knowledge of the algebraic and graphic representations of problems in the coordinate quadratic relations as well as plane leading to a system quadratic functions 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 and the circle . A.REI.11 Explain why the Note: This is an overarching This standard is included many times throughout Algebra I and Algebra II. By the end of this unit students should understand that the x-coordinates of the points standard that will be revisited coordinates of the point(s) of intersection of graphs of two equations the graphs of the equations y = as each function is studied. represent the solution(s) to the system created by the two equations. f(x) and y = g(x) intersect are the solutions of the equation Ability to connect experience f(x) = g(x); find the solutions with solving systems of approximately, e.g., equations graphically from technology to graph the Algebra I to solving systems functions, make tables of values, that include polynomial, or find successive exponential ,rational, root , approximations. Include cases absolute value and logarithmic where f(x) and/or g(x) are linear, functions polynomial, rational, absolute Ability to show the equality of value, exponential, and two functions using multiple representations logarithmic functions. ★
quadratic formula and factoring as appropriate to the initial form of the equations. Recognize when the quadratic formula gives complex solutions and write them as for real numbers a and b. 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 A.REI.7 geometric problems in the coordinate plane leading to a 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 and the circle . Knowledge of the algebraic and graphic representations of quadratic relations as well as quadratic functions A.REI.11 Explain why the x-coordinates of the points the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. ★ Note: This is an overarching standard that will be revisited as each function is studied. Ability to connect experience with solving systems of equations graphically from Algebra I to solving systems that include polynomial, exponential ,rational, root , absolute value and logarithmic functions Ability to show the equality of two functions using multiple representations This standard is included many times throughout Algebra I and Algebra II. By the end of this unit students should understand that the coordinates of the point(s) of intersection of graphs of two equations represent the solution(s) to the system created by the two equations.
day_1_hs_afternoon_algebra_ii_unit_1_plan.docx