Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
In this section, students are introduced to patterns that grow quadratically. They compare these new patterns to linear and exponential patterns from earlier units and recognize that a new type of relationship is needed. They work with rectangular areas that have a given perimeter and visual patterns that grow quadratically with each step and use tables, graphs, and expressions to...
In this section, students analyze how the different parameters in factored and standard forms of quadratic functions affect their graphs. Students recognize the connection between factored form and the -intercepts of a graph. Students use technology to find the consequences of adjusting the quadratic coefficient and the constant term of an equation in standard form.
Several optional lessons are available...
In this section, students formally recognize that there are multiple useful forms for quadratic expressions and functions. They examine standard and factored forms and use the distributive property to recognize the same relationship in both forms. At first, they use an area model, familiar from earlier grades, and similar diagrams to do the distribution, but are encouraged later to work...
In this section, students examine quadratic relationships in the context of functions. They compare quadratic-function growth to that of linear and exponential functions. They notice that quadratic functions with a positive quadratic coefficient grow faster than linear functions and grow slower than exponential functions that have a growth factor greater than 1.
Then, students explore quadratic functions in contexts such...
In this section, students examine important parts of a parabolic graph, including the vertex, focus, and directrix. First, students are given quadratic functions in the form and recognize that the vertex of the graph is at the point . Then students use the connection between the vertex and the function in vertex form to write possible quadratic functions from a...