This task provides a simple but interesting and realistic context in which students are led to set up a rational equation (and a rational inequality) in one variable, and then solve that equation/inequality for an unknown variable.

The purpose of this task is to introduce radian measure for angles in a situation where it arises naturally.

Students will graph one linear inequality and then graph a system of linear inequalities as they apply to an area of land. Students will practice graphing systems of inequalities and determining if a points lies in the solution. In the extension, students are challenged to write a system of inequalities that describe the area of Mississippi.

Students will use quadratic models to optimize the area of a field for a given perimeter. This is the Desmos treatment of a task that's as old as fields themselves. We emphasize estimation, construction, and formulation, in addition to the graphing and solution you find in traditional treatments.

This task is for instructional purposes only and builds on ''Building an explicit quadratic function.''

Students will apply their knowledge of constructions and finding triangle centers to determine the best location site of a recreation center that will serve three distinct areas within a geographical location.

This lesson introduces students to bootstrapping methods for making inferences about a population parameter using a randomly selected sample from the population. Students use random samples of salaries for petroleum engineering graduates - —graduates employed in the profession earning the highest mean starting salary in 2014 - —and technology tools to calculate and interpret interval estimates for the mean population starting salary. They also explore the effects of sample size and confidence level on margin of error. Students draw conclusions using both the context of the activity and bootstrapping distributions generated from simulations. Students’ explorations conclude with drawing inferences about a population proportion.

The goal of this task is to set up and solve an equation involving a simple rational expression. This gives rise to a quadratic equation which has only one meaningful solution in terms of the context.

Students have the opportunity to collect and explore real data using a box of animal crackers.

Students solve three challenging problems that ask them to find arc length without directly giving them the arc measure.

Students solve two challenging problems that ask them to find an arc measure using the arc length.

In this Khan Academy activity, students solve two challenging problems that apply properties of tangents to find the perimeter of a circumscribing shape.

This activity from Khan Academy requires students to solve two challenging problems that apply the inscribed angle theorem to find an arc measure or an arc length.

In this Khan Academy activity, students solve three challenging problems that apply properties of inscribed shapes to find an arc length or a missing angle.

In this Khan Academy activity, students solve two challenging problems that apply properties of tangents to find the radius of a circle with a tangent.

Students will analyze an advertisement and survey of a new product. Looking at the survey, graphs, and claims the company made, students will determine if they are biased or fair and determine if the information was misrepresented or not.

Worksheet that answers the question: How do we choose an appropriate method for solving quadratic equations?