The Inch and How it is Built

Slides:



Advertisements
Similar presentations
Technical Drawing Topic 2: Scales.
Advertisements

Measurement Measure Twice Cut Once Nancy Overton Career Choices Upper Bucks AVTS.
Adding and Subtracting FRACTIONS!!!!
Escambia County School Board Office of Career and Technical Education
Fractions Review.
Adding and Subtracting Fractions
Accuracy Counts Measure Twice Cut Once. From 0 to 1 is equal to 1 inch 01.
FRACTIONS With Scooby Doo by Mr. Meute, Foster Elementary Fourth Grade
Adding, Subtracting, Multiplying, and Dividing
MULTIPLYING AND DIVIDING FRACTIONS Case 2. MULTIPLICATION  Multiplying fractions is actually very easy!  You begin by placing the two fractions you.
Modeling Multiplication of a Fraction by a Mixed Number
Fractions A Great Big Piece of Fun.
Simplifying Rational Expressions – Part I
Round decimals to the nearest whole number
Fractions Continued.
Lets begin, next Instruction Read each question and answer by clicking the correct answer. Lets go.
Video 1.1 Metric. fractions of an inch inches to a foot…. 3 feet to a yard…. 5.5 yards to a rod rods to a mile... 43,560 sq ft to an acre...
Ms. Davis’s & Ms. Hillman’s 5th Grade Math Classes
Simplest Form Fraction Leonardo Estrella Assignment 7 Period 1.
Solving Linear Equations To Solve an Equation means... To isolate the variable having a coefficient of 1 on one side of the equation. Examples x = 5.
The Metric System Of Standardized Measurement cm cm BTS.
Following Directions Lesson
Background – World Wide  Two main systems of measurement  Metric System  Based on the number 10  U.S. Customary System  Based on halving or doubling.
Significant Figures A tutorial adapted from
Dividing fractions 4/5 ÷ 7/8 = ?. When you are dividing fractions, invert the divisor. In other words, flip the right fraction. 4/5 ÷ 7/8 8/7= ?
Measuring Equipment Units of Measurement Whole Numbers (1, 2, 3) Fractions (1/8”) Decimals (0.392) Metric (1 mm)
Why do we invert and multiply?
Developing Standard and Metric Measuring Skills
Fractions Review. Fractions A number in the form Numerator Denominator Or N D.
Round decimals to the nearest whole number OMA. Simplifying Fractions Learning Objective.
Reading a Ruler.
Measurement Imperial System Foot (‘) – Inch (“)
Homework #1.
The stuff you should know but if you don’t, here is a refresher…….
Standard and Metric Measuring
Fraction Review!. Just for fun…Which is your favorite fraction? 1.1/2 2.1/3 3.1/4 4.1/8.
Fraction Division: A Whole Number Divided by a Fraction 1  = ? 1515 To get the answer, ask: 1  ? = 1515 How many groups of can be made from 1? 1515.
2.5 and 2.6 Multiplication and Division of Rational #’s.
Core Focus on Decimals & Fractions Measuring in Inches Lesson 3.7.
TOOL CHECK. Adding and Subtracting FRACTIONS Unit 4 Lesson 4.
Introducing: common denominator least common denominator like fractions unlike fractions. HOW TO COMPARE FRACTIONS.
How to Find a Fraction on a Number line A number line and a ruler are very much alike
Part of a set or part of a whole. 3 4 =Numerator the number of parts = Denominator the number that equals the whole.
Four rules of fractions How to do. Addition and Subtraction The simple bits.
Welcome to Math 6 Our subject for today is… Divisibility.
Introduction to Engineering and Technology Concepts Unit Eight Chapter Three – Standard Measurement.
Number and Operations. To write decimals as fractions, you must understand place-value!
Converting to Percents. Decimals to Percents Decimals to Percents When converting decimals to percents, first you need to multiply the decimal with one.
Fractions.
How to Compare Fractions
HOW TO COMPARE FRACTIONS
US Customary Measurement System
Measure to the nearest ½ inch
Mixed Numbers on a Number Line
An Instructional Power Point by The Curriculum Corner
Introduction to Drafting and Design
Introduction to Drafting and Design
US Customary Measurement System
Introduction to Measurement
Equivalent Fractions: Creating Common Denominators
US Customary Measurement System
US Customary Measurement System
Reading a Ruler with Precision
US Customary Measurement System
Reading a Ruler with Precision
Reading a Ruler with Precision
Reading a Ruler with Precision
HOW TO COMPARE FRACTIONS
US Customary Measurement System
Halves, Thirds and Fourths! Fraction Fantastic!
Presentation transcript:

The Inch and How it is Built 3.05 BTS The Inch and How it is Built

Skill, Precision and Reading the English Standard scale to a sixteenth of an inch.

is the standard small unit in the English Standard measuring system. The Inch is the standard small unit in the English Standard measuring system. The inch is thought out in an common sense way that makes it easy to understand and use… if you take a bit of time to learn about its parts.

uses only a few fractions. The Inch uses only a few fractions. Some of the fractions NEVER appearing in the inch are: 1/3, 1/5, 1/6, 1/7, 1/9…

You probably know a lot about measuring already. apply it here! You probably know a lot about measuring already. Mastering this measurement skill is not as hard as you might think.

The names of the fraction numbers are: Lets make sure you remember some important fraction terms: The names of the fraction numbers are: Numerator Denominator

Numerator: What is the NUMBER of the inch parts we are talking about? This number is always an odd number. If it is an even number, REDUCE the fraction.

Denominator: This DENOTES the total number of parts in the fractional division. The only denominator numbers are: 1, 2, 4, 8 and 16!

And now the star of our show: The English Standard Inch. And how the inch unit is divided!

The blue drawing represents a small part of an English Standard ruler graduated in inches. We are looking at the ruler around the 27and 28 inch marks.

Whole inches are good for measuring many large things… but for most uses: we need more precision!

Where is the common sense place to put a dividing line? To get a higher degree of accuracy, we need to divide the whole inches into smaller parts. Where is the common sense place to put a dividing line? Precisely in the middle of the inch space!

This divides the space into two equal parts. One Division One Division 1/2 We need a fraction to indicate the middle division. Think of the line we have just drawn as 1 of the 2 divisions. One half: one of the two divisions! What is the name of this fraction line? 1/2

This is the common sense way inches are divided up to get more precision. Empty measurement spaces are divided into two equal parts. 1/2 If both of the two division spaces are divided into two equal spaces, what will the total number of inch divisions be now? 4!

The names of the fraction lines are: and 1/4 3/4 Where are the measurements located on the scale? 1/2 The two fractions represent: 1 of the 4 divisions and 3 of the 4 divisions. The 2 of the 4 divisions line (2/4) is reduced!

More precise measurement is still needed. Empty measurement spaces are still being divided into two equal parts. 1/4 3/4 How many total inch divisions are there now? 8

What are the fraction names of the new lines? They are all 8ths….. 1/8 3/8 5/8 7/8 Have you noticed how all the fractions do not have even numbers for their numerators? Measurement fractions with even numerators must be reduced! Yes! (maybe)

We have arrived at the final division of spaces. If we divide the 8ths into two… how many total divisions will we have? 1/8 3/8 5/8 7/8 16(whew!) 1/8 3/8 5/8 7/8 We better get out our high powered TECH GOGGLES to see them!

There are only 8- 16th measurements! Here are the 16th lines 1/8 3/8 5/8 7/8 If we divide the 8ths into two… how many total divisions will we have? 16(whew!) 1/8 3/8 5/8 7/8 We better get out our high powered TECH GOGGLES to see them! There are only 8- 16th measurements!

That isn’t so bad, once you understand it! Here are the 16th Fractions: 1/16 3/16 5/16 7/16 9/16 11/16 13/16 15/16 1/8 3/8 5/8 7/8 If we divide the 8ths into two… how many total divisions will we have? 16(whew!) 1/8 3/8 5/8 7/8 We better get out our high powered TECH GOGGLES to see them! That isn’t so bad, once you understand it!

Lets look at a different English Standard ruler. 2 7 2 8 Lets look at a different English Standard ruler. We are still looking at the 27 and 28 inches (“) area of the ruler. It is read just like the one we have just learned about.

2 7 2 8 The inch divided into sixteenths is one the standards of precision for the entire construction industry. If you can measure sixteenths, you can build almost anything!

Can you identify the indicated measurements? 2 7 2 8 Can you identify the indicated measurements?

2 7 2 8 Method 1: Remember (memorize) what the lines indicate and identify the measurement. It is not difficult to memorize ALL 16 measurements if you try.

Here are the 16- inch measurement fractions: 1/16 3/16 5/16 7/16 9/16 11/16 13/16 15/16 1/8 3/8 5/8 7/8 2 7 2 8 ¼ ¾ 1/2 Here are the 16- inch measurement fractions: As you use this skill, you will memorize the measurements without trying!

1 2 3 4 5 6 7 8 9 2 7 2 8 Method 2: Count the number of lines from the whole line and make a fraction. 9/16 of an inch (9/16”), 9 of the 16. This measurement is 27- 9/16” (inches)

1 2 3 4 5 6 7 8 9 10 2 7 2 8 Here’s another: Count the number of lines, if the numerator is even, you must reduce the fraction! 10/16”, reduced to 5/8”. This measurement is 27- 5/8” (inches)

2 7 2 8 Did you get 27-½”? The skill continues: 1 2 3 4 5 6 7 8 2 7 2 8 The skill continues: Did you get 27-½”? Count the number of lines… Make a fraction with the count number as numerator…. 16 is the denominator… What is the answer? Do you reduce?

1 2 3 4 5 6 7 8 2 7 2 8 If you have started to memorize the lines, you knew this answer without all the counting work!

You are getting HOT now…. 1 2 3 4 5 6 7 8 9 10 111213 14 15 2 7 2 8 You are getting HOT now…. How about 27-15/16”? Count again! Make a fraction with the count number as numerator…. What is the answer? Do you reduce?

Here is the last practice try: 2 7 2 8 Here is the last practice try: How about 27-7/16”? Look at the indicated measurement. I’m not going to number this one for you! Do you know it? What is the answer?

2 7 2 8 Reading measurements 100% of the time… is an important skill to master.

Review: There just 16 fractions used in this level of inch precision measurement. It is an important skill to be able to accurately measure 100% of the time. Technology depends on precise measurement to be able to do its many jobs.

2 7 2 8 Have you earned a new skill?

How will you use it?