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Common Core: ELA
Common Core: Math
Topic: Common Core Learning Standards
356 Results

 Student Outcomes Students examine that a horizontal translation of the graph of y = f(x) corresponds to changing the equation from y = f(x) to y = f(x  k).

 Student Outcomes Students examine that a horizontal scaling with scale factor k of the graph of y = f(x) corresponds to changing the equation from y = f(x) to y = f[(1/k)(x)].

 Student Outcomes Students apply their understanding of transformations of functions and their graphs to piecewise functions.

 Student Outcomes Students create models and understand the differences between linear and exponential models that are represented in different ways.

 Student Outcomes Students apply knowledge of exponential functions and transformations of functions to a contextual situation.

 Student Outcomes Students apply knowledge of exponential functions and transformations of functions to a contextual situation.

 Student Outcomes Students create piecewise and step functions that relate to reallife situations and use those functions to solve problems. Students interpret graphs of piecewise and step functions...

 Student Outcomes Students use the distributive property to multiply a monomial by a polynomial and understand that factoring reverses the multiplication process. Students use polynomial expressions...

 Student Outcomes Students understand that factoring reverses the multiplication process as they find the linear factors of basic, factorable quadratic trinomials. Students explore squaring a binomial...

 Student Outcomes Students develop strategies for factoring quadratic expressions that are not easily factorable, making use of the structure of the quadratic expression.

 Student Outcomes Students factor quadratic expressions that cannot be easily factored and develop additional strategies for factorization, including splitting the linear term, using graphing...

 Student Outcomes Students solve increasingly complex onevariable equations, some of which need algebraic manipulation, including factoring as a first step and using the zero product property.

 Student Outcomes Students use appropriate and efficient strategies to find solutions to basic quadratic equations. Students interpret the verbal description of a problem and its solutions in context...

 Student Outcomes Students interpret word problems to create equations in onevariable and solve them (i.e., determine the solution set) using factoring and the zero product property.

 Student Outcomes Students examine quadratic equations in two variables represented graphically on a coordinate plane and recognize the symmetry of the graph. They explore key features of graphs of...

 Student Outcomes Students use the factored form of a quadratic equation to construct a rough graph, use the graph of a quadratic equation to construct a quadratic equation in factored form, and...

 Student Outcomes Students interpret quadratic functions from graphs and tables: zeros (xintercepts), yintercept, the minimum or maximum value (vertex), the graph’s axis of symmetry, positive and...

 Student Outcomes Students rewrite quadratic expressions given in standard form, ax2 + bx + c (with a = 1), in the equivalent completedsquare form, a(x  h)2 + k, and recognize cases for which...

 Student Outcomes Students rewrite quadratic expressions given in standard form, ax2 + bx + c (with a ≠ 1), as equivalent expressions in completed square form, a(x  h)2 + k. They build quadratic...

 Student Outcomes Students solve complex quadratic equations, including those with a leading coefficient other than 1, by completing the square. Some solutions may be irrational. Students draw...

 Student Outcomes Students derive the quadratic formula by completing the square for a general quadratic equation in standard form, ax2 + bx + c = 0, and use it to verify the solutions for equations...

 Student Outcomes Students use the quadratic formula to solve quadratic equations that cannot be easily factored. Students understand that the discriminant, b2  4ac, can be used to determine whether...

 Student Outcomes Students graph simple quadratic equations of the form y = a(x  h)2 + k (completedsquare or vertex form), recognizing that (h,k) represents the vertex of the graph and use a graph...

 Student Outcomes Students graph a variety of quadratic functions using the form f(x) = ax2 + bx + c (standard form). Students analyze and draw conclusions about contextual applications using the key...