In this activity, students investigate and learn about functions known as sequences. They learn how they can be represented symbolically, graphically, and numerically.

In this activity students use Computer Algebra System (CAS) to solve differential equations using Euler's method, Runge Kutta method, and other built-in methods.

Students take a field trip to a local ski area(or simply a nearby hill) and calculate the slope of a hill at several positions.

The practice problem asks students to find approximate and particular solutions of a given differential equation. The handout is available in PDF format.

The practice exercise asks students to find approximate and particular solutions of a given differential equation. The resource is available in PDF format.

Students sketch solutions on a slope field and then find the general solution of a given differential equation. The resource consists of an enlarged printable version of a slope field available in PDF format.

Students sketch solutions on a slope field and then find the general solution of a given differential equation. The resource consists of an enlarged printable version of a slope field available in PDF format.

Students examine differential equations and slope fields in this rate of change example. The resource consists of an enlarged printable version of a slope field available in PDF format.

The example investigates logistics curves and slope fields. The handout is available in PDF format and includes a slope field.

Students explore a sales model using a differential equation and slope field. Learners investigate sales growth, maximum level of sales, and solutions to the differential equation. The handout is available in PDF format and includes a...

The exercise examines slope fields, particular solutions, and initial conditions. Students sketch the graph of the solution that satisfies a given initial condition. The handout is available in PDF format.

Students are given an initial condition and are sketched to sketch the graph of the particular solution. The resource consists of an enlarged printable version of a slope field available in PDF format.

The practice exercise investigates slope fields, general solutions, and differential equations. The handout is available in PDF format.

The practice exercise investigates slope fields, general solutions, and differential equations. The handout is available in PDF format.

Students sketch approximate solutions and calculate particular solutions. The handout is available in PDF format and students are given a differential equation, slope field, and initial condition.

The example has learners sketch approximate solutions and calculate particular solutions. The handout is available in PDF format and learners are given a differential equation, slope field, and initial condition.

The exercise examines slope fields, general solutions, and differential equations. Learners find the general solution of a given differential equation. The handout is available in PDF format.

The exercise examines the general solution of differential equations. The handout is available in PDF format and students are given a differential equation and slope field.

This activity is an application of differential equations and slope fields. Students first go through the traditional paper and pencil method of solving a differential equation. (Continued. See "before the activity.")

A field based lab experiment where students work in groups to come up with a collection strategy and lab analysis to test differences in soil bulk densities. Students bring soil samples back to the classroom to conduct a test that...

This activity is an inquiry-based field investigation of the sedimentary geology of Lilydale Regional Park's brickyards area, a bluff and slope location near St. Paul Minnesota's Harriet Island and Cherokee Heights Park. Students...

Mountain Goats live on remarkably steep, craggy cliffs for most of their lives, spending only about a quarter of their time in less forbidding meadows and nearby fields. The steep slopes offer safety from predators such as mountain lions...

The narrow Vall de Boi is situated in the high Pyrenees, in the Alta Ribagorca region and is surrounded by steep mountains. Each village in the valley contains a Romanesque church, and is surrounded by a pattern of enclosed fields. There...