8 Components
Big Ideas
Formative Assessment Lesson
End of Unit Assessments
Browse Components
Big Ideas
Formative Assessment Lesson
End of Unit Assessments
Big Idea:

### Rate of change determines other characteristics of a quadratic function.

1 week

Evidence of Understanding

• compare linear, quadratic, and exponential function families using the rate of change
• analyze the rate of change from a graph, table, or sequence to identify input and output values that belong in a quadratic function
• identify variables within a situation and describe how they relate to each other
• recognize the second difference for quadratic functions is non-zero constant
• describe how quadratic functions are different from linear and exponential functions
• compare growth rates for linear, exponential, and quadratic functions and recognize that exponential and quadratic functions increase faster than linear functions and that exponential functions eventually exceed quadratic functions
• use the rate of change to justify which function family provides the best model

• use the rate of change to interpret key characteristics of a quadratic function
• identify and interpret the most important characteristics of a quadratic from its graph or table of values and describe what they mean within the context of a situation
• key characteristics include: intervals where the function is increasing, decreasing, positive, or negative, intercepts, maximums or minimums, and symmetries
• describe the vertex in relation to the rate of change, axis of symmetryzeros, and range
• analyze the axis of symmetry and rate of change to predict outputs for a quadratic function
• calculate the average rate of change between two points and recognize that the average rate of change is zero for points that reflect one another across the axis of symmetry
• apply patterns relating inputs and outputs to create an equation for the axis of symmetry
• approximate the domain and range of a quadratic function from a situation, graph, or rule
• describe restrictions on the domain and range in the context of a situation
• relate restrictions on the range with the vertex of the parabola

Develop conceptual understanding:

quadratic, parabola, axis of symmetry, vertex, roots

Supporting terms to communicate:

function, rate of change, average rate of change, turning point, maximum, minimum, intercept, interval, increasing, decreasing, positive, negative, domain, range, reflection, average

Core Resource

A core resource supports multiple days of instruction.