9 Components
Big Ideas
End of Unit Assessments
Browse Components
Big Ideas
End of Unit Assessments
Big Idea:

### The structure of a quadratic model provides insights about its key characteristics.

1 week

Evidence of Understanding

• determine and describe the key characteristics about a quadratic from its equation
• analyze characteristics of a quadratic equation whose graph has 0, 1, or 2 real roots
• predict the features of the roots of a parabola by analyzing its quadratic equation
• use the quadratic formula to describe patterns with the discriminant that cause the quadratic to have 0, 1, or 2 real roots
• classify the roots as real, complex, rational, irrational, equal, and/or unequal
• describe strategies for identifying the vertex and axis of symmetry from a quadratic written in vertex, standard, or factored form
• recognize the axis of symmetry is always the average of the roots
• explain why -b/2a as the axis of symmetry for a quadratic function and use it to determine the coordinates of the vertex

• generate quadratic function models and use them to solve problems
• accept or reject solutions using the constraints in a situation
• construct and justify an equation, table, graph, situation, or verbal description relating inputs and outputs given any representation of the quadratic function
• analyze values to justify a quadratic function model (and not linear or exponential)
• recognize quantitative relationships between variables to create a polynomial in one variable, Example: express the product of three consecutive numbers as x(x + 1)(x + 2)
• given a point stated as the vertex and any other point, determine the function rule
• possible extension: given the y intercept and two other points on the quadratic, create a system of equations to solve for the values of a, b, and c and find the quadratic equation