Mathematics

Grade Levels: 9th Grade, 10th Grade, 11th Grade, 12th Grade,

Topics: AlgebraCoordinate SystemsFunctions and RelationsPatterns

Common Core State Standard: 5.G.1, 5.G.2, A-REI.10, F-IF.2, F-IF.5,

Knowledge and Skills:

· Can plot a point in a two-dimensional coordinate system, given the coordinates, or determine the coordinates of a given point

· Can relate aspects of a graphical model to the real world situation which is being modeled

Lesson:

Procedure: This activity is best done by students working individually or in teams of two.

Distribute the handout and ensure that students understand the task.

**Answers:**

1.

2. and 3. Answers vary.

**Curve Control**

**Skill Set**

1. These numbers represent the shape of a windsail mast. Plot the points and sketch the shape of the mast:

2. The mast you just sketched has its highest curvature about two-thirds of the way toward the top. Create a set of numbers for a mast that has its highest curvature even closer to the top of the mast. Keep the curve as

smooth as you can.

3. Create a set of numbers for a mast that has its highest curvature right in the middle of the mast. Remember to keep the curve smooth.