The task provides an opportunity for students to engage in Mathematical Practice Standard 4: Model with mathematics.
The purpose of this task is to give students experience modeling a real-world example of exponential growth, in a context that provides a vivid illustration of the power of exponential growth, for example the cost of inaction for a year.
In this seminar will learn how to use the Quadratic Formula to solve quadratic equations. You will learn to place quadratic equations into the appropriate form in order to use the formula, and you will be shown how to correctly interpret the structure of the formula so that all of the calculations are performed correctly. You will have to apply correct and careful order of operations in order to correctly simplify the radicals. You will apply techniques you have learned to simplify radical expressions. You will then interpret your solutions not only as solutions to the equation, but then translate that information to understand how it relates to the graph of the parabola that represents the function.StandardsCC.2.2.HS.C.5Construct and compare linear, quadratic, and exponential models to solve problems.
Temperature conversions provide a rich source of linear functions which are encountered not only in science but also in our every day lives when we travel abroad. The first part of this task provides an opportunity to construct a linear function given two input-output pairs. The second part investigates the inverse of a linear function while the third part requires reasoning about quantities and/or solving a linear equation.
This task provides an opportunity for students to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
This task provides an opportunity for students to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
These problems give students the opportunity to construct and compare linear, quadratic, and exponential models.