Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 0 Introduction to Construction Math Module

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 1Objectives 1.Add, subtract, multiply, and divide whole numbers, with and without a calculator. 2.Use a standard ruler, a metric ruler, and a measuring tape to measure. 3.Add, subtract, multiply, and divide fractions. 4.Add, subtract, multiply, and divide decimals, with and without a calculator. Upon completion of this module, you will be able to:

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 2Objectives cont. 5.Convert decimals to percentages and percentages to decimals. 6.Convert fractions to decimals and decimals to fractions. 7.Explain what the metric system is and how it is important in the construction trade. 8.Recognize and use metric units of length, weight, volume, and temperature. 9.Recognize some of the basic shapes used in the construction industry and apply basic geometry to measure them.

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 3 Figure 1 – Place values

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 4 Figure 2 – Foundation A

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 5 Figure 3 – Foundation B

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 6 Figure 4 – Concrete block

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 7 Figure 5 – Roof

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 8 Figure 6 – Types of measurement tools

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 9 Figure 7 – Standard ruler showing 1⁄16-inch increments

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 10 Figure 8 – 1⁄8-inch ruler

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 11 Figure 9 – 1⁄16-inch ruler

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 12 Figure 10 – Distances on a metric ruler

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 13 Figure 11 – Metric ruler study problem

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 14 Figure 12 – Measuring tape showing English and metric measurements

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 15 Figure 13 – Wall framing markings on a tape measure

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 16 Figure 15 – Metric and English measuring tape

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 17 Figure 16 – Metric and English measuring tape

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 18 Figure 17 – The architect’s scale

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 19 Figure 18 – Measuring a section of duct with an architect’s scale

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 20 Figure 19 – Metric architect’s scale

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 21 Figure 20 – The engineer’s scale

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 22 Figure 21 – Duct measurement using 1⁄8 scale

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 23 Figure 22 – Duct measurement using 1⁄4 scale

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 24 Figure 23 – Meter measurements

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 25 Figure 24 – Engineer’s scale measurements

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 26 Figure 25 – Converting inches to yards

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 27 Figure 26 – Converting centimeters to meters

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 28 Figure 27 – Fractions of an inch

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 29 Figures 28 and 29 – Four and eight sections of a 2 x 4

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 30 Figure 30 – Drilling a sill plate for an anchor bolt

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 31 Figure 31 – Floor joists

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 32 Figure 32 – Determining the sidewalk slope

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 33 Figure 33 – Using a machinist’s rule to measure tenths

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 34 Figure 34 – First floor plan

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 35 Figure 35 – Foundation plan

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 36 Figure 36 – Materials list

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 37 Figure 37 – HVAC elevation drawing

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 38 Figure 39 – Office floor plan

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 39 Figure 40 – Site plan

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 40 Figure 41 – Types of angles

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 41 Figure 44 – Cutting a rectangle on the diagonal produces two right triangles

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 42 Figure 45 – Cutting a square on the diagonal produces two right triangles

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 43 Figure 46 – The sum of a triangle’s three angles always equals 180 degrees.

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 44 Figure 47 – Measurements that apply to circles

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 45 Figure 48 – Volume of a rectangle

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 46 Figure 49 – Volume of a cube

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 47 Figure 50 – Volume of a cylinder

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 48 Figure 51 – Volume of a triangle

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 49 Figure 52 – Finding the area of a pipe

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 50 Figure 53 – Removing topsoil for a sidewalk

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 51 Figure 54 – Estimating concrete for a sidewalk

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 52 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 53 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 54 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 55 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 56 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 57 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 58 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 59 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 60 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 61 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 62 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 63 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 64 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 65 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 66 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 67 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 68 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 69 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 70 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 71 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 72 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 73 Supplemental Art

Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module National Center for Construction Education and Research Slide 74 Supplemental Art