Slide 0 Introduction to Construction Math Module 00102-09 National Center for Construction Education and Research Core Curriculum Module 00102-09 Copyright © by NCCER, Published by Pearson Education, Inc.

Download Report

Transcript Slide 0 Introduction to Construction Math Module 00102-09 National Center for Construction Education and Research Core Curriculum Module 00102-09 Copyright © by NCCER, Published by Pearson Education, Inc.

Slide 1

Slide 0

Introduction to Construction Math
Module 00102-09

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 2

Slide 1

Objectives

Upon completion of this module, you will be able to:

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.

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 3

Slide 2

Objectives 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.

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 4

Figure 1 – Place values

Slide 3

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 5

Figure 2 – Foundation A

Slide 4

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 6

Figure 3 – Foundation B

Slide 5

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 7

Figure 4 – Concrete block

Slide 6

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 8

Figure 5 – Roof

Slide 7

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 9

Figure 6 – Types of measurement tools

Slide 8

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 10

Figure 7 – Standard ruler showing 1⁄16-inch increments

Slide 9

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 11

Figure 8 – 1⁄8-inch ruler

Slide 10

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 12

Figure 9 – 1⁄16-inch ruler

Slide 11

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 13

Figure 10 – Distances on a metric ruler

Slide 12

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 14

Figure 11 – Metric ruler study problem

Slide 13

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 15

Figure 12 – Measuring tape showing English and metric measurements

Slide 14

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 16

Figure 13 – Wall framing markings on a tape measure

Slide 15

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 17

Figure 15 – Metric and English measuring tape

Slide 16

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 18

Figure 16 – Metric and English measuring tape

Slide 17

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 19

Figure 17 – The architect’s scale

Slide 18

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 20

Figure 18 – Measuring a section of duct with an architect’s scale

Slide 19

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 21

Figure 19 – Metric architect’s scale

Slide 20

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 22

Figure 20 – The engineer’s scale

Slide 21

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 23

Figure 21 – Duct measurement using 1⁄8 scale

Slide 22

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 24

Figure 22 – Duct measurement using 1⁄4 scale

Slide 23

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 25

Figure 23 – Meter measurements

Slide 24

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 26

Figure 24 – Engineer’s scale measurements

Slide 25

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 27

Figure 25 – Converting inches to yards

Slide 26

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 28

Figure 26 – Converting centimeters to meters

Slide 27

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 29

Figure 27 – Fractions of an inch

Slide 28

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 30

Figures 28 and 29 – Four and eight sections of a 2 x 4

Slide 29

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 31

Figure 30 – Drilling a sill plate for an anchor bolt

Slide 30

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 32

Figure 31 – Floor joists

Slide 31

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 33

Figure 32 – Determining the sidewalk slope

Slide 32

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 34

Figure 33 – Using a machinist’s rule to measure tenths

Slide 33

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 35

Figure 34 – First floor plan

Slide 34

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 36

Figure 35 – Foundation plan

Slide 35

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 37

Figure 36 – Materials list

Slide 36

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 38

Figure 37 – HVAC elevation drawing

Slide 37

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 39

Figure 39 – Office floor plan

Slide 38

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 40

Figure 40 – Site plan

Slide 39

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 41

Figure 41 – Types of angles

Slide 40

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 42

Figure 44 – Cutting a rectangle on the diagonal produces two right triangles

Slide 41

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 43

Figure 45 – Cutting a square on the diagonal produces two right triangles

Slide 42

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 44

Figure 46 – The sum of a triangle’s three angles always equals 180 degrees.

Slide 43

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 45

Figure 47 – Measurements that apply to circles

Slide 44

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 46

Figure 48 – Volume of a rectangle

Slide 45

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 47

Figure 49 – Volume of a cube

Slide 46

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 48

Figure 50 – Volume of a cylinder

Slide 47

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 49

Figure 51 – Volume of a triangle

Slide 48

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 50

Figure 52 – Finding the area of a pipe

Slide 49

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 51

Figure 53 – Removing topsoil for a sidewalk

Slide 50

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 52

Figure 54 – Estimating concrete for a sidewalk

Slide 51

National Center
for Construction
Education and
Research

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 53

Slide 52

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 54

Slide 53

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 55

Slide 54

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 56

Slide 55

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 57

Slide 56

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 58

Slide 57

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 59

Slide 58

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 60

Slide 59

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 61

Slide 60

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 62

Slide 61

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 63

Slide 62

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 64

Slide 63

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 65

Slide 64

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 66

Slide 65

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 67

Slide 66

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 68

Slide 67

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 69

Slide 68

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 70

Slide 69

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 71

Slide 70

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 72

Slide 71

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 73

Slide 72

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 74

Slide 73

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.


Slide 75

Slide 74

National Center
for Construction
Education and
Research

Supplemental Art

Core Curriculum
Module 00102-09

Copyright © by NCCER,
Published by Pearson Education, Inc.