ALEX Classroom Resources

   View Standards     Standard(s): [MA2019] PRE-19 (9-12) 20 :

20. Explain each step in solving an equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a clear-cut solution. Construct a viable argument to justify a solution method. Include equations that may involve linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, and trigonometric functions, and their inverses.

[MA2019] PRE-19 (9-12) 24 :

24. Compare and contrast families of functions and their representations algebraically, graphically, numerically, and verbally in terms of their key features.

Note: Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; symmetries (including even and odd); end behavior; asymptotes; and periodicity. Families of functions include but are not limited to linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, trigonometric, and their inverses.

Travis found the following equation in his math book

d=rt−16t²

It is an equation to calculate velocity. In fact, it is a function. Being an avid sports player, Travis was very interested in figuring out how to use the equation, but he isn’t even sure what kind of a function it is. Can you identify this function? In this concept, you will learn to recognize a quadratic function as an equation in two variables with a specific form.

This informational material will help students identify key features of and solutions for quadratic functions.  Practice questions with a PDF answer key are provided.  

   View Standards     Standard(s): [MA2019] PRE-19 (9-12) 20 :

20. Explain each step in solving an equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a clear-cut solution. Construct a viable argument to justify a solution method. Include equations that may involve linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, and trigonometric functions, and their inverses.

[MA2019] PRE-19 (9-12) 24 :

24. Compare and contrast families of functions and their representations algebraically, graphically, numerically, and verbally in terms of their key features.

Note: Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; symmetries (including even and odd); end behavior; asymptotes; and periodicity. Families of functions include but are not limited to linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, trigonometric, and their inverses.

This video will explain how to identify components of quadratic functions and solve the function for each variable.