Breaking Down an Inch Breaking Down an Inch

Breaking Down an Inch

Breaking Down an Inch Take out a clean sheet of notebook paper and something to write with. l Place it in front of you on your desk. l

Breaking Down an Inch l Fold your paper in half long ways “hot dog style”.

Breaking Down an Inch Open your paper up and place it holes to the top on your desk. l Draw a line all the way down the crease on the paper. l “DO NOT WRITE ON THE DESK!!” l

Breaking Down an Inch Fold the paper in half the other way “hamburger style”. l You can see my line because I used a Sharpie Marker and it bled through the paper. l

Breaking Down an Inch Open the paper up with the holes to the top. l Draw a line from the center of the paper to the margin closest to you. l

Breaking Down an Inch Fold the paper like you had it last “hamburger style”. l Then fold it over again in the same direction as you folded it last. l

Breaking Down an Inch Open the paper up. l Draw a line on each of the creases half way to the bottom margin. l Then fold your paper back up like you last had it. l

Breaking Down an Inch l Fold the paper over one more time in the same direction as your last fold, making it even more slender.

Breaking Down an Inch Open the paper up. l Draw lines on the four creases half as long as the last lines you drew, or ¼ of the way to the bottom margin. l

Breaking Down an Inch Draw small lines on our paper in between each of the lines already on your paper and the left and right edges. l Make the lines extend down and be half as long as the last lines drawn. l

Breaking Down an Inch Next, draw lines on the left and right edges all the way down below the margin, half way between the margin and the bottom of the paper. l And in case you haven’t already figured it out, we are making a ruler. l

Reading a Ruler l Now all you have to do is count the lines as you go from left to right. 1 2 3 5 6 7 9 4 0 8 10 11 13 12 15 14 16

Reading A Ruler By counting you realize that you have 16 1/16 3/16 5/16 7/16 9/16 11/16 13/16 equal parts to 15/16 2/16 6/16 10/16 an inch. 14/16 12/16 l Next you show 8/16 each number as 16/16 0 a fraction or portion of the total number 16. l

Reading A Ruler Next, you must remember from math that a fraction should always be expressed in lowest possible terms. l 1/16 for example is in its lowest form, it cannot be reduced any farther. l 2/16 however, can be reduced. 2 is the numerator (top number in a fraction) 16 is the denominator (bottom number in a fraction) l

Reading A Ruler 2/16 can be reduced by 2. This means that both 2 and 16 are divisible by 2. l 2 divided by 2 = 1 l 16 divided by 2 = 8 l Therefore our reduced fraction will be 1/8. l

Reading A Ruler Now lets take 3/16, will it reduce? l I bet that someone said yes! l Some people look at the three as the numerator and the six in the sixteen (denominator) and automatically think that this fraction will reduce. However, it will not reduce. l 3/16 is already in its lowest terms. l

Reading A Ruler l Next, lets look at 4/16. Yes it will reduce. There are two ways to reduce fractions like this one. If you’re a math wiz, you might say that 4 will go into 16. If you do, you are right. You can divide the numerator into the denominator. This is the quickest of the two ways, but you can divided both the numerator and the denominator by 2, twice. You have to be careful to get fractions like this one into lowest possible terms.

Reading A Ruler The easiest way to deal with 4/16: l 4 divided by 4 = 1 l 16 divided by 4 = 4 l Your reduced fraction is ¼. l

Reading A Ruler l l l l The other way to deal with 4/16 is: 4 divided by 2 = 2 16 divided by 2 = 8 Your fraction is 2/8, but is it reduced to lowest possible terms? NO, you have to reduce again. 2 divided by 2 = 1 8 divided by 2 = 4 Your reduced fraction is 1/4

Reading A Ruler l Now that you know how to reduce these fractions, you finish reducing the rest of the fractions on your ruler.

Reading A Ruler l Now Check your fractions against these correct answers. 1/16 3/16 5/16 7/16 1/8 3/8 1/4 9/16 11/16 13/16 15/16 5/8 7/8 3/4 1/2 0 1

l Now that you know how to use a ruler, here are some short cuts for you. As you have noticed, the lines are different lengths on the ruler. l As we go across one more time pay attention to the line length and the denominator associated with it. l Reading A Ruler 1/16 3/16 5/16 7/16 1/8 3/8 1/4 9/16 11/16 13/16 15/16 5/8 7/8 3/4 1/2 0 1

Reading A Ruler Did you notice a trend? l The longest lines were of course whole numbers. l 0 1

Reading A Ruler l The second longest line is 1/2. l The third longest line has a denominator of 4. 1/4 3/4 1/2

Reading A Ruler l l The fourth longest lines always have a denominator of 8. The shortest lines always have a denominator of 16. 1/16 3/16 5/16 7/16 1/8 3/8 9/16 11/16 13/16 15/16 5/8 7/8

Reading A Ruler Now let’s look at the whole ruler. Can you tell me what would be the correct measurement for the letter A. l The answer is 57/16. l You start at the whole number and you add the calculated fraction to the whole number to give the correct distance. l A 5 6

Reading A Ruler l l l What is the correct measurement for the letter A. The answer is 103/16. What is the correct measurement for the letter B. The answer is 103/8. What is the correct measurement for the letter C. The answer is 10 -3/4. A 10 B C 11

Reading A Ruler l l l Now you know how to read a ruler and deal with the fractions involved. But these are measurements, and have to be expressed as 15/16 measurements. Write the following notes on your paper. This standard ruler is to be expressed in inches or in. or “. Example: 1 ½” 12 inches is equal to 1 foot or ft. or ‘. Example 4’ 1 ½” Three feet is equal to 1 yard or yd.

Reading A Ruler l See if you can tell the measurements of the objects on the following screens for a quick quiz. l On the back of your paper title it Measurement Quiz and number from 1 to 5.

Measurement Quiz 1.

Measurement Quiz 2.

Measurement Quiz 3.

Measurement Quiz 4.

Measurement Quiz 5.

Measurement Quiz Answers l The answers to the quiz are: 1. 6 - 7/16” 2. 3 – 11/16” 3. 5 – 5/8” 4. 4 – 7/8” 5. 11 – 9/16”