Name 
Description 
Building Graduation Caps  In this lesson students will apply skills from the Geometry Domain to build graduation caps for themselves using heavyweight poster paper. They will also apply some basic mathematical skills to determine dimensions and to determine minimum cost. Some of the Geometric skills reinforced in Building Graduation Caps: Cooperative Assignment are finding area, applying the concept of similarity, and the application of the properties of parallelograms. Other skills also involved in this application are measuring, and statistical calculations, such as finding the mean and the range. In addition to the handson group project that takes place during the lesson, there is the Prerequisite Skills Assessment: Area that should be administered before the group activity and a homelearning activity. Building Graduation Caps: Individual Assignment is the homelearning assignment; it is designed to reinforced the skills learned in the group activity. 
Concurrent Points Are Optimal  Students will begin with a review of methods of construction of perpendicular bisectors and angle bisectors for the sides of triangles. Included in the review will be a careful discussion of the proofs that the constructions actually produce the lines that were intended.
Next, students will investigate why the perpendicular bisectors and angle bisector are concurrent, that is, all three meet at a single meet.
A more modern point of currency is the FermatTorricelli point (FT). The students will construct (FT) in GeoGebra and investigate limitations of its existence for various types of triangles.
Then a set of scenarios will be provided, including some onedimensional and twodimensional situations. Students will use GeoGebra to develop conjectures regarding whether a point of concurrency provides the solution for the indicated situation, and which one.
A physical model for the FT will be indicated. The teacher may demonstrate this model but that requires three strings, three weights, and a base that has holes. A recommended base is a piece of pegboard (perhaps 2 feet by 3 feet), the weights could be fishing weights of about 3 oz., the string could be fishing line; placing flexible pieces of drinking straws in the holes will improve the performance.
The combination of geometry theorems, dynamic geometry software, a variety of contexts, and a physical analog can provide a rich experience for students. 
Interchangeable Wristwatch Band  Students use measures and properties of rectangular prisms and cylinders to model and rank 3D printable designs of interchangeable wristwatch bands that satisfy physical constraints. 
Modeling: Rolling Cups  This lesson unit is intended to help you assess how well students are able to choose appropriate mathematics to solve a nonroutine problem, generate useful data by systematically controlling variables and develop experimental and analytical models of a physical situation.

NASA Space Shuttle Mission Patches  Students apply geometric measures and methods, art knowledge, contextual information, and utilize clear and coherent writing to analyze NASA space shuttle mission patches from both a mathematical design and visual arts perspective. 
Olympic Snowboard Design  This MEA requires students to design a custom snowboard for five Olympic athletes, taking into consideration how their height and weight affect the design elements of a snowboard. There are several factors that go into the design of a snowboard, and the students must use reasoning skills to determine which factors are more important and why, as well as what factors to eliminate or add based on the athlete's style and preferences. After the students have designed a board for each athlete, they will report their procedure and reasons for their decisions. 
Poly Wants a Bridge!  "Poly Wants a Bridge" is a modeleliciting activity that allows students to assist the city of Polygon City with selecting the most appropriate bridge to build. Teams of students are required to analyze properties of bridges, such as physical composition and span length in order to solve the problem. 
Solving Quadratic Equations: Cutting Corners  This lesson unit is intended to help you assess how well students are able to solve quadratics in one variable. In particular, the lesson will help you identify and help students who have the following difficulties; making sense of a real life situation and deciding on the math to apply to the problem, solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring, and interpreting results in the context of a real life situation. 
The Grass is Always Greener  The lesson introduces area of sectors of circles then uses the areas of circles and sectors to approximate area of 2D figures. The lesson culminates in using the area of circles and sectors of circles as spray patterns in the design of a sprinkler system between a house and the perimeter of the yard (2D figure). 
The Seven Circles Water Fountain  This lesson provides an opportunity for students to apply concepts related to circles, angles, area, and circumference to a design situation. 
Turning Tires Model Eliciting Activity  The Turning Tires MEA provides students with an engineering problem in which they must work as a team to design a procedure to select the best tire material for certain situations. The main focus of the MEA is applying geometric concepts through modeling. 