Des Plaines Valley Region
DVR Education for Employment
2000 Fifth Avenue, Suite M103
River Grove, IL 60171
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Brian Collier

Geometry in Construction

This course is designed for students to take geometry and construction together in order to see how each relates to the other.  The students will be earning a credit for each class and over the course of the year will be building a house.  Listed below are the resources designed for the class.  Click on the links to see the outline, lessons, calendars, and each unit broken down into specific lessons, activities, and assessments.

Rules & Policies

 Course Expectations

Calendar

 RHS GIC Calendar 2015

RHS GIC Calendar 2016

Lessons Outline

Unit 1 Geometry with Construction Plans

Unit 2 Geometry with Construction Plans

Unit 3 Geometry with Construction Plans

Unit 4 Geometry with Construction Plans

Unit 5 Geometry with Construction Plans

Unit 6 Geometry with Construction Plans

 Unit 7 Geometry with Construction Plans      

Unit Breakdown 

Unit 1: Area, Constructions, and Similarity

Unit 2: Pythagorean Theorem, Special Right Triangles, and Volume

Unit 3: Trigonometry

Unit 4: Transformations

Unit 5: Constructions & Quadrilaterals

Unit 6: Circles & Conic Sections

Unit 7: Triangle Congruence

Geometry in Construction Unit 1: Constructions, Area, and Similarity

In this unit the students will be exploring construction problems involved with areas while using geometric construction principles & similarity to create scale drawings used in blue prints.  Students will focus on common core standards of modeling, geometric constructions, and similarity in shapes, specifically in triangles.  The students will be doing a Balsa Wood model of the class project for construction, building stairs, & focus on power tool safety.

 

Listed below are the lessons for the unit, additional resources in the form of activities and worksheets, and assessments to be used during and at the end of the unit.  Please note that these lessons and resources are a work in progress and will be changed and modified throughout the school year.

 

Geometry in Construction Lessons:

 Unit 1 Geometry with Construction Plans

Geometry Lessons :

Unit 1 Lesson 1 Outline

Unit 1 Lesson 2 Outline

Unit 1 Lesson 3 Outline

Unit 1 Lesson 4 Outline

Unit 1 Lesson 5 Outline

Unit 1 Lesson 6 Outline

Unit 1 Lesson 7 Outline

Unit 1 Lesson 8 Outline

Unit 1 Lesson 9 Outline

Unit 1 Lesson 10 Outline

Unit 1 Lesson 11 Outline

Unit 1 Lesson 12 Outline

Unit 1 Lesson 13 Outline

Unit 1 Lesson 14 Outline

  Unit 1 Lesson 15 Outline 

Resources:

 Unit 1 Introduction Survey

Unit 1 Window Area Activity

Unit 1 Scale Factor Extra Practice

Unit 1 Scale Factor Activity

Unit 1 Picture Coordinate Activity

Unit 1 Patio Design Project

Unit 1 House Cost Analysis

Unit 1 Fractions in Construction W.S.

Unit 1 Constructions with Compass and Stratight Edge

Unit 1 Constructions Instruction Packet

Unit 1 Cardboard Design Activity

Unit 1 Area of a Sphere W.S.

Assessments

 Unit 1 Area of 2D Figures Quiz

Unit 1 Slope Quiz

Unit 1 Summative Assessment

 

Geometry in Construction Unit 2: Pythagorean Theorem, Special Right Triangles, and Volume

In this unit the students will use Pythagorean Theorem with construction in a variety of ways; roofing, stairs, and foundation laying.  Students will also relate similarity with special right triangles and pipe fittings.  The unit will conclude with how volume relates to construction using concrete and insulation.  The students will be building bean bag boards and doing framing for walls and floors.

 

Listed below are the lessons for the unit, additional resources in the form of activities and worksheets, and assessments to be used during and at the end of the unit.  Please note that these lessons and resources are a work in progress and will be changed and modified throughout the school year.

 

Geometry in Construction Lessons:

Unit 2 Geometry with Construction Plans

Lessons:

Unit 2 Lesson 1 Outline

Unit 2 Lesson 2 Outline

Unit 2 Lesson 3 Outline

Unit 2 Lesson 4 Outline

Unit 2 Lesson 5 Outline

Unit 2 Lesson 6 Outline

Unit 2 Lesson 7 Outline

Unit 2 Lesson 8 Outline

Unit 2 Lesson 9 Outline

Unit 2 Lesson 10 Outline

Resources:

Unit 2 Volume of Similar Figures Exploration

Unit 2 Sphere Activity

Unit 2 Special Right Triangle Application Practice

Unit 2 Pythagorean Theorem Applications

Unit 2 Pyramid _ Cone Exploration

Unit 2 Popcorn Picker Activity

Unit 2 Insulation Activity

Unit 2 Hanging Off Set Activity

Unit 2 Foundation Construction Activity

Unit 2 Fence Post Activity

Unit 2 Cost Analysis Problems

Unit 2 Challenge Problems Volume

Assessments:

Unit 2 Volume Quiz

Unit 2 Special Right Triangles Quiz

Unit 2 Summative Assessment

Geometry in Construction Unit 3: Trigonometry

In this unit the students will explore trigonometry through a variety of activities related to bridge building, surveying of land, and finding unknown distance and angles.  Students will also explore angles of elevation and launch angles while constructing a water balloon launcher.  Students will learn about ladder & scaffolding safety, roofing, and roof framing.

 

Listed below are the lessons for the unit, additional resources in the form of activities and worksheets, and assessments to be used during and at the end of the unit.  Please note that these lessons and resources are a work in progress and will be changed and modified throughout the school year.

 

Geometry in Construction Lessons:

Unit 3 Geometry with Construction Plans

Lessons:

Unit 3 Lesson 1 Outline

Unit 3 Lesson 2 Outline

Unit 3 Lesson 3 Outline

Unit 3 Lesson 4 Outline

Unit 3 Lesson 5 Outline

Unit 3 Lesson 6 Outline

Unit 3 Lesson 7 Outline

 

Resources:

Unit 3 Water Balloon Launch Activity

Unit 3 Trigonometry Exploration

Unit 3 Inclimeter Activity

Assessments:

Unit 3 Trigonometry Summative Assessment

Geometry in Construction Unit 4: Transformations

In this unit the students will explore transformations of objects in the coordinate plane and will relate it to construction design and pipe fitting.  The students will perform translations, reflections, rotations, and dilations in the coordinate plane and using construction tools.  Students will work on framing of roofs as well as windows, doors, and exterior siding.

 

Listed below are the lessons for the unit, additional resources in the form of activities and worksheets, and assessments to be used during and at the end of the unit.  Please note that these lessons and resources are a work in progress and will be changed and modified throughout the school year.

 

Geometry in Construction Lessons:

 Unit 4 Geometry with Construction Plans

Lessons:

 Unit 4 Lesson 1 Outline

Unit 4 Lesson 2 Outline

Unit 4 Lesson 3 Outline

Unit 4 Lesson 4 Outline

Resources:

 Unit 4 Tesselation Project Enrichment Activity

Unit 4 New House Plot Design Activity

Assessments:

Unit 4 Summative Assessment

Geometry in Construction Unit 5: Constructions and Quadrilaterals

In this unit the students will learn about parallel lines, quadrilaterals, parallelograms, and work more geometric constructions.  The students will relate quadrilaterals to foundations and board cutting.  Students will use constructions and parallelogram properties for blue print designs.  The students will work with electrical rough ins, insulation, and drywall hanging and finishing.

 

Listed below are the lessons for the unit, additional resources in the form of activities and worksheets, and assessments to be used during and at the end of the unit.  Please note that these lessons and resources are a work in progress and will be changed and modified throughout the school year.

 

Geometry in Construction Lessons:

 Unit 5 Geometry with Construction Plans

Lessons:

 Unit 5 Lesson 1 Outline

Unit 5 Lesson 2 Outline

Unit 5 Lesson 3 Outline

Unit 5 Lesson 4 Outline

Unit 5 Lesson 5 Outline

Unit 5 Lesson 6 Outline

Unit 5 Lesson 7 Outline

Unit 5 Lesson 8 Outline

Unit 5 Lesson 9 Outline

Unit 5 Lesson 10 Outline

Unit 5 Lesson 11 Outline

Unit 5 Lesson 12 Outline

Resources:

 Unit 5 Quadrilaterals Review

Unit 5 Quadrilaterals Review 2

Unit 5 Properties of Parallelograms Practice Worksheet

Unit 5 Parallelograms with Boards Activity

Unit 5 Parallelograms Foundation Activity

Unit 5 Athletic Field Design Activity

Assessments:

Unit 5 Quadrilaterals Quiz

Unit 5 Summative Assessment

Geometry in Construction Unit 6: Circles and Conic Sections

In this unit the students will explore several properties related to circles. The students will relate arc length to finding non linear distances and sector area to patio design.  The students will also explore conic sections with circles and parabolas.  For construction the students will be hanging and finishing drywall, painting, and installing doors, cabinets, and trim.

 

Listed below are the lessons for the unit, additional resources in the form of activities and worksheets, and assessments to be used during and at the end of the unit.  Please note that these lessons and resources are a work in progress and will be changed and modified throughout the school year.

 

Geometry in Construction Lessons:

 Unit 6 Geometry with Construction Plans

Lessons:

 Unit 6 Lesson 1 Outline

Unit 6 Lesson 2 Outline

Unit 6 Lesson 3 Outline

Unit 6 Lesson 4 Outline

Unit 6 Lesson 5 Outline

Unit 6 Lesson 6 Outline

Unit 6 Lesson 7 Outline

Unit 6 Lesson 8 Outline

Unit 6 Lesson 9 Outline

Unit 6 Lesson 10 Outline 

Unit 6 Lesson 11 Outline

Unit 6 Lesson 12 Outline

Unit 6 Lesson 13 Outline

Resources:

 Unit 6 Circular Patio Design Activity

Unit 6 Fence Layout Activity

Assessments:

Unit 6 Summative Assessment

Geometry in Construction Unit 7: Triangle Congruence

This unit will focus on congruent triangles and proofs.  The students will prove triangle and parallelograms are congruent and use proof to show how parts of a construction are congruent.  The students will write formal proofs and coordinate proof for triangles and parallelograms.  The students will relate proof to their punch list in the final construction. 

 

Listed below are the lessons for the unit, additional resources in the form of activities and worksheets, and assessments to be used during and at the end of the unit.  Please note that these lessons and resources are a work in progress and will be changed and modified throughout the school year.     

 

Geometry in Construction Lessons:

 Unit 7 Geometry with Construction Plans

Lessons:

 Unit 7 Lesson 1 Outline

Unit 7 Lesson 2 Outline

Unit 7 Lesson 3 Outline

Unit 7 Lesson 4 Outline

Unit 7 Lesson 5 Outline

Unit 7 Lesson 6 Outline

Unit 7 Lesson 7 Outline

Unit 7 Lesson 8 Outline

Unit 7 Lesson 9 Outline

Resources:

Unit 7 Finding Missing Angles

Unit 7 Congruent Triangles by SSS and SAS Questions

Unit 7 Congruent Triangles Name 6 Parts

Unit 7 Congruent Triangles Practice

Unit 7 Discovering SSS SAS ASA AAS Activity

Unit 7 CPCTC Practice Work

Unit 7 Coordinate Review Congruent Triangles

Unit 7 Lesson on Proving Triangles Congruent

Unit 7 Naming Congruent Triangles Relationship to Transformations

Unit 7 Naming Congruent Triangles Warm Up

Unit 7 Naming Congruent Triangles

 Unit 7 Review

Unit 7 Coordinate Review

Unit 7 Congruent Triangles Proofs

Assessment:

Unit 7 Summative Assessment

Unit 7 Summative Assessment (2)