**ACS (Real world applications; career connections; societal impact)**

Applications – This challenge will allow students to see the mathematics involved in designing roadways, which they experience every day in their lives.

Career – This unit has a direct relationship with civil engineering.

Societal – This challenge will allow students to connect with the community by becoming more aware of traffic patterns and ways to make transportation safer.

**Engineering Design Process (EDP)**

Students will go through the Engineering Design Process as they complete the challenge of creating a road map. They will have to do research on roundabouts and how they work. They will come up with a design for a new intersection and present it to their peers by using schoology. They will reflect on their design and come up with possible revisions after considering several different designs.

##### Unit Academic Standard

7.G.4 – Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

##### Unit Activities

**Activity 1 (1 Day): The Hook**

Day 1: Hook, Essential Questions, Guiding Questions

**Activity 2 (1 Day): Pre-Assessment**

Day 2 : Pre-Assessment and Survey

**Activity 3 (7 Days): Background information on Circles**

Day 3: Digits (copyright Pearson) Lesson 11-2 on Center, Radius, and Diameter – assign homework online

Day 4: Digits (copyright Pearson) Lesson 11-2 on Circumference – assign homework online

Day 5: Digits (copyright Pearson) Lesson 11-3 on Area – assign homework online

Day 6: Circle parts, area, and circumference practice in class (differentiated)

Day 7: Digits (copyright Pearson) Lesson 11-4 on Relating Area and Circumference

Day 8: Practice on Relating Area and Circumference (differentiated)

Day 9: Digits (copyright Pearson) Lesson 11-5 on Problem Solving

(Worksheet c: Digits Topic 11 Notes)

**Activity 4: Civil Engineer Visit**

Day 10: Civil Engineer comes in to talk about creating safe intersections and roundabouts

**Activity 5: Roundabouts Lab**

Day 11: Roundabouts lab

Day 12: Anderson Ferry/Foley Intersection problem

**Activity 6: The Challenge: Designing a Safer Intersection**

Day 13: Challenge: teams research intersection (give list if students cannot find out) and redesign it so that it has a roundabout

Day 14: Finish challenge

**Activity 7: Review Post-Assessment**

Day 15: Review of Topic 11

Day 16: Post-Assessment and Survey

##### Where the CBL and EDP appear in the Unit

Activity 1: The Hook

Activity 5: Roundabouts Lab

Activity 6: The Challenge: Designing a Safer Intersection

##### Misconceptions

A square and circle with the same area should have the same distance around the outside.

##### Additional Resources

Misconceptions in geometry: http://geometrymodule.wikispaces.com/file/view/Misconceptions.pdf

##### Results: Evidence of Growth in Student Learning