Math in CTE/Geometry in Construction
Teaching Number Systems (Binary and Hex) with Math and Reading
Lesson on teaching binary and hex. See attached.Teaching number systems (1)
Special Right Triangles & Offsets
Special right triangles are a topic explored in geometry and applied frequently in pre-calculus, but also has use in the world of plumbing. When pipes are being ran either under the ground or along the ceiling of a building there are often obstacles in their way. So a pipe might need to continue it’s path, but might need to go around a wall, another pipe, a light fixture, etc. An offset is a way a plumber can keep the pipe going and avoid such obstacles. They would need to cut the pipe in advance to make sure it would travel the proper distance so that it can diagonally avoid any object and still continue it’s path in the most efficient way possible. Thus, special right triangles are involved. Plumbers often use pipe fittings that are 45 degrees, 30 degrees, and 60 degrees and perform calculations based on these angles to calculate what is called the “travel” or the diagonal distance the pipe travels. A plumber can also use those angles to calculate the “set” which is the distance two pipers are apart from one another and the “advance” which is the distance between pipes in terms of the path of what is traveling in the pipe. So one can see the connection between the right triangle geometry and what a plumber does in the field. Below are some resources for calculating the set, advance, and travel and it’s connection to geometry.
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
Calendar
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 5: Constructions & Quadrilaterals
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 :
Resources:
Unit 1 Scale Factor Extra Practice
Unit 1 Picture Coordinate Activity
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
Assessments
Unit 1 Area of 2D Figures Quiz
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:
Resources:
Unit 2 Volume of Similar Figures Exploration
Unit 2 Special Right Triangle Application Practice
Unit 2 Pythagorean Theorem Applications
Unit 2 Pyramid _ Cone Exploration
Unit 2 Popcorn Picker Activity
Unit 2 Hanging Off Set Activity
Unit 2 Foundation Construction Activity
Unit 2 Challenge Problems Volume
Assessments:
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:
Resources:
Unit 3 Water Balloon Launch Activity
Unit 3 Trigonometry Exploration
Assessments:
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:
Resources:
Unit 4 Tesselation Project Enrichment Activity
Unit 4 New House Plot Design Activity
Assessments:
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:
Resources:
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:
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:
Resources:
Unit 6 Circular Patio Design Activity
Assessments:
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:
Resources:
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 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 Congruent Triangles Proofs
Assessment: