Comparing Two Fractions

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See tape diagram and pie chart visual model to see the explanation why the answer is correct.

Using tape diagram student can validate the concept of greater than or larger than (> symbol use) and less than or smaller than ( < symbol use)



Guiding students to try using WolframAlpha software to train them to become familiar in using software to help them understand the lesson about fraction.

Student very important lesson to remember. If the website is not approved by your school to visit. DO NOT CLICK ANY LINK because something bad might happen to your school computer network. If something bad happens you and other students might not able to log-in to your tablet or laptop.

Simply click the link below to view additional lesson about tape diagram and fraction.

Write a tape diagram 0, 1/2, 2/2 using WolframAlpha software

Write a tape diagram 0, 1/3, 2/3, 3/3 using WolframAlpha software

Write a tape diagram 0, 1/4, 2/4, 3/4, 4/4 using WolframAlpha software

Write a tape diagram 0, 1/5, 2/5, 3/5, 4/5, 5/5 using WolframAlpha software

Write a tape diagram 0, 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 using WolframAlpha software

Write a tape diagram 0, 1/7, 2/7, 3/7, 4/7, 5/7, 6/7, 7/7 using WolframAlpha software

Write a tape diagram 0, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 using WolframAlpha software

3rd grade students are expected to demonstrate proficiency representing fraction using tape diagram. They are also expected to demonstrate proficiency in comparing fraction using benchmark.

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USING PIE CHART AS VISUAL MODEL

3rd grade students ? Do you know how to draw a benchmark fraction?

Step 1. To draw the 1/2 (halves ) benchmark fraction. First draw a straight line. On the left hand side of the line make a tick mark then number it 0 (zero) and again on the right hand side of the line make another tick mark then number it 1 (one).

Step 2. 1/2 (halves) benchmark fraction is actually telling you to divide the line you drawn into half. See the picture shown below and copy how to draw the halves (1/2) benchmark.

Drawing multiple line diagram. This example is showing you that in higher mathematics you will be using number line too.



Click the link below so you will learn how to use WolframAlpha software to draw a number line.

Write a number line diagram 0, 1/2, 2/2 using WolframAlpha software

Write a number line diagram 0, 1/3, 2/3, 3/3 using WolframAlpha software

Write a number line diagram 0, 1/4, 2/4, 3/4, 4/4 using WolframAlpha software

Write a number line diagram 0, 1/5, 2/5, 3/5, 4/5, 5/5 using WolframAlpha software

Write a number line diagram 0, 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 using WolframAlpha software

Write a number line diagram 0, 1/7, 2/7, 3/7, 4/7, 5/7, 6/7, 7/7 using WolframAlpha software

Write a number line diagram 0, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 using WolframAlpha software

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3rd grade students. It's time to test your understanding on how to draw a benchmark fraction. Are your ready?

Now draw the third (1/3) benchmark fraction. You can copy the drawing above if you need help. What do you notice about the total length of halves (1/2) benchmark fraction and the thirds (1/3) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

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Now draw the fourths (1/4) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3) and the fourths (1/4) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

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Now draw the fifths (1/5) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), and the fifths (1/5) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

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Now draw the sixths (1/6) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), the fifths (1/5), and the sixths (1/6)? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

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Now draw the eighths (1/8) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), the fifths (1/5), the sixths (1/6) and the eighths (1/8) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

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Now draw the tenths (1/10) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), the fifths (1/5), the sixths (1/6), the eighths (1/8), and the tenths (1/10) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

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Draw the 1/16 (sixteenths) benchmark fraction.

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WHY DO YOU NEED TO LEARN THIS BENCHMARK FRACTION? Because there are lots of tools or measuring instrument that you need to read and compare the result of measurement when you become an engineer (electrical engineer, civil engineer, mechanical engineer), scientist, electrician, carpenter, and so on.

This instrument is called a micrometer, used to measure the diameter of the small black ball shown below. Did you see the benchmark or marking on the instrument?

Source:
www.technologystudent.com
/equip1/microm1.htm

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This instrument is called Tape Measure. Did you see the benchmark or marking on the instrument?

NOW YOU KNOW THE REASON WHY YOUR TEACHER IS TEACHING YOU THIS IMPORTANT CONCEPT OF READING AND COMPARING BENCHMARK FRACTION.

Below you see examples of fraction. Fraction can also be written in decimal. You will learn to understand and how to write in decimal in higher mathematics.

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