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Laying the Foundation:

CONSTRUCTION MATH

Compiled by Judy Amico and Beth ArmanConstruction Center of Excellence

October 2005

With submissions by:

•  Pat Averbeck, Math instructor, with Walt Bubelis, Horticulture instructor, DaveJacobson, Construction Management instructor, and Ed van der Bogart,

Construction Management instructor, Edmonds Community College

•  Steve Baker, King County Carpenters Apprenticeship coordinator, Renton

Technical College

•  Mary Bolds, Adult Basic Skills instructor, Tacoma Community College

•  Jim Coan, Surveying instructor, Renton Technical College

• Rick Ducharme and Lisa Grothen, Job Skills for Trade & Industry instructors,Renton Technical College

•  Spencer Hinkle, Building Construction Technology co-department chair/instructor, Portland Community College

•  Steve Ignac, Lathing, Acoustical, and Drywall Systems Apprenticeship

coordinator, Renton Technical College

•  Jim Johnson, Commercial Building and Industrial Engineering instructor, Renton

Technical College

•  Mark Maher, Western Washington Cement Masons Apprenticeship coordinator,South Seattle Community College

•  The National Joint Apprenticeship and Training Committee for the Electrical

Industry (used in International Brotherhood of Electrical Workers – NationalElectrical Contractors Association Electrical Apprenticeship programs in the State

of Washington)

•  Don Olson, Painting, Decorating, and Drywall Apprenticeship instructor, SouthSeattle Community College

•  Vince Rainier, Pile Drivers Apprenticeship coordinator, Renton Technical

College

•  Royal Robinson, Plasterers Apprenticeship coordinator/instructor, Renton

Technical College

With special thanks to the following businesses for their support:

•  Lowe’s Home Improvements•  Dunn Lumber 

•   Nordstrom

3000 NE 4th

Street

Renton, WA 98056

(425) 235-2352, ext. 2217www.RTC.edu/CommunityResources/CCE

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Laying the Foundation:

CONSTRUCTION MATH

Table of Contents

Introduction..........................................................................................................................1

Resources for Construction Math ........................................................................................3

Sample Activities and Descriptions by Construction Subject Matter:

Surveying .................................................................................................................5

Soil Excavation ........................................................................................................9

Cost Calculations ...................................................................................................23

Reading a Tape Measure........................................................................................35

Concrete Formwork (Pile Drivers) ........................................................................39

Steel........................................................................................................................47 Concrete Volume (Cement Masons)......................................................................49

Carpentry................................................................................................................53

Electrical ................................................................................................................63

Drywall Layout ......................................................................................................89

Plastering Layout ...................................................................................................96

Painting ..................................................................................................................98

Carpet Laying and Tile Setting..............................................................................99

Roofing ................................................................................................................105

Building Engineering/Electrical...........................................................................131

Sample Activities and Descriptions by Math Subject Matter: Arithmetic

o Percents..................................................................................................9, 99

o Fractions.....................................................................................................35

o Conversions....................................................................................39, 53, 99

Algebra

o Solving for Costs .................................................................................23, 99o Solving Equations..................................................................47, 53, 63, 131o Ratio and Proportion..................................................................................63

Geometryo Area, Perimeter, Square Feet, and Volume..........39, 49, 53, 89, 96, 99, 105o Coordinate Geometry...................................................................................5

This document is not copyrighted.

You are free to:

Copy,

Distribute for educational purposes, or

Make derivative works.

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Resources for Construction Math

Websites, Videos, and books

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Surveying

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Surveying

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Surveying

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Surveying

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Soil Excavation

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Soil Excavation

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Soil Excavation

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Soil Excavation

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Soil Excavation

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Soil Excavation

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Cost Calculations

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Cost Calculations

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Cost Calculations

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Cost Calculations

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Cost Calculations

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Cost Calculations

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Cost Calculations

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Cost Calculations

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Cost Calculations

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Reading a Tape Measure

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Reading a Tape Measure

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Reading a Tape Measure

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Concrete Formwork 

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Concrete Formwork 

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Concrete Formwork 

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Steel

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Steel

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Concrete Volume

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Concrete Volume

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Carpentry

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Carpentry

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Electrical

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Electrical

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Electrical

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Drywall Layout

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7) Multiply “b” X 2 = “C” which is the length of all sides

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Plaster Layout

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Plaster Layout

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Painting

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Carpet Laying and Tile Setting

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Roofing

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Roofing

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Building Engineering / Electrical

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