1 / 7

Using Number Lines to Find Equivalent Fractions

This self-paced tutorial explains how to use number lines to recognize and generate equivalent fractions. Learn how to break segments into smaller pieces to find equivalent fractions.

croberson
Download Presentation

Using Number Lines to Find Equivalent Fractions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. To view this slide show: Click on “Slide Show” in the menu above. Click on “From Beginning.” Click anywhere on this slide.

  2. How to Use Number Lines to Find Equivalent Fractions Dawn Galente, Arlington CSD 2012 This is a self-paced tutorial. Click the screen each time you want to see the next step. Click to Start

  3. Standard 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models….use this principle to recognize and generate equivalent fractions. Start with a simple fraction like 1/3. 5 2 1 1 1 3 2 2 4 3 6 3 0 6 6 6 6 3 3 3 3 6 3 6 3 Picture what this number line would look like if we broke each segment into 2 equal pieces. What fraction would this new line represent? Now 2 out of 6 segments are shaded… 2/6. 0 0

  4. I can find any number of equivalent fractions by simply breaking each segment on the line into smaller pieces. 0 Start with 1/2… 1 8 6 2 7 3 4 1 5 2 2 break each piece into 4 equal pieces… 8 8 8 8 8 8 8 8 2 0 to get 4/8. I have four times as many shaded segments now; 1 x 4= 4. x4 1 x4 4 2 = 8 I have four times as many total segments now… 2 x 4 = 8.

  5. What if I want to find a specific equivalent fraction? ? 3 = Start with a model of the first fraction. 5 10 Think: I have 5 total segments now. I need 10 total segments. 1 2 3 4 0 5 5 5 5 5 5 How can I break 5 segments into smaller segments so that I have 10? 9 6 8 1 7 4 5 3 2 10 0 10 10 10 10 10 10 10 10 10 10 Break them into 2 segments each! x2 6 3 = x2 5 10 How many shaded segments do I have now? 3 x 2 = 6.

  6. a/b is equivalent to (n × a)/(n × b) means….. 0 1 8 6 7 5 3 1 4 2 2 2 8 8 8 8 8 8 8 8 2 0 x4 4 1 1 = = x4 8 2 2 x n a a = x n b b

  7. The End

More Related