# 2.4 Compare And Order Fractions And Decimalsmr. Mac's Page

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Which order would you prefer to multiply the three factors? 7 Find the products. A (6 × 7) × 10 = b (6 × 10) × 7 = c (7 × 10) × 6 = 8 Which of the problems in item 7 is the easiest for you to solve? In other words, in which order would you prefer to multiply the three factors? Session 4 Multiplication Connections. Fractions and decimals cannot be compared directly. It is like comparing apples and oranges. They are of a different kind and cannot be compared. So, all quantities must be either in fraction form or in decimal form to compare. It is found that it is more convenient to convert the given quantities to decimals and then compare and order them. The PDF resources below are password protected. The password to access the protected tests and answer keys is: ReadersProtect. TOPIC 2 Addition and Subtraction 4.4A (4.3A old) Add and subtract whole numbers and decimals to the hundredths place. 4.3B Use concrete object and pictorial models. 4.2D (4.5A old) Round whole numbers and decimals to a given place value through the - Title: TOPIC 20 Probability and Statistics Author: dcole Last modified by: nweaver Created Date: 6/10/2013 7:27:48 PM Document presentation format. Comparing Fractions with the Same Denominator. Comparing fractions is very easy when two fractions have the same denominator. Let us compare two fractions: 3/4 and 1/4. 3/4 represents three parts out of four. The shaded region as shown below represents the required fraction. Similarly, 1/4 can be shown as below.

Create an unlimited supply of worksheets for comparing or ordering fractions (grades 4-6), including with or without visual models. The worksheets can be made in html or PDF format — both are easy to print. You can also customize them using the generator below.

Students typically study comparing fractions starting in 4th grade. Initially, students learn to compare fractions that have the same denominator (such as 5/12 and 9/12) and fractions with the same numerator (such as 5/9 and 5/7). They also learn to compare to 1/2 (such as 1/2 and 4/5). In grade 5, students learn how to compare any two fractions by first converting them so they have a common denominator.

## Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled 'Create PDF' or 'Make PDF worksheet'. To get the worksheet in html format, push the button 'View in browser' or 'Make html worksheet'. This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:

• PDF format: come back to this page and push the button again.
• Html format: simply refresh the worksheet page in your browser window.

## Example worksheets

 Compare two fractions - includes empty pie images for the student to color Compare two fractions - the numerators are equal, the denominators are equal, compare to 1/2, compare to 1, or other easy comparisons Compare two fractions - with workspace for finding the common denominator if necessary Order three fractions

## 2.4 Compare And Order Fractions And Decimalsmr. Mac's Page Sheet

Interactive Unit Fractions
Drag unit fraction pieces (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1,10, 1/12, 1,16, and 1/20) onto a square that represents one whole. You can see that, for example, 6 pieces of 1/6 fit into one whole, or that 3 pieces of 1/9 are equal to 1/3, and many other similar relationships.
/interactives/unit_fractions.php

## Generator

With this worksheet generator, you can make worksheets for comparing two fractions or for ordering 3-8 fractions. The worksheet can include problems where you compare fractions with the same denominator, fractions with the same numerator, comparisons to 1/2 or to 1, and so on.

You can also include visual models (fraction pies), which will make comparing easy and works well for making fraction comparison worksheets for grades 3-4.

To create problems where it is necessary to find a common denominator, choose 'random fractions'.

 Comparing / Ordering Fractions Worksheet Generator This workbook has been compiled and tested by a team of math experts to increase your child's confidence, enjoyment, and success at school. Fourth Grade: Provides practice at all the major topics for Grade 4 with emphasis on multiplication and division of larger numbers. Includes a review of Grade 3 topics and a preview of topics in Grade 5. Includes Times Tables practice.

Voxitatis (this Web site) has announced the development of another “app” for its Answer Maryland system at maryland-k12.org. The demo is available, free of charge and free of advertising, here. The demo works with Safari on a Mac or PC, Chrome, Firefox, and Internet Explorer 9 on a PC. It will not work with versions 8 and lower of Internet Explorer. but it’s time to upgrade, as Microsoft puts it, to a “more beautiful Web.”

Based on our first app on this fourth-grade Common Core math standard, this is an example of how to use the Answer Maryland system to build on the work of other educators to create your own tools for demonstrating your lessons. The base tool used fraction bars, but I thought wheels would be better, so I simply changed the graphics to make wheels instead of bars. Also, I wanted a bigger fraction with the numerator written on top of the denominator rather than inline. So, again, I just modified the original demo program to make it how I wanted it.

Teachers everywhere, time to get into technology and use it as a collaborator, not simply as a reader.

The US Common Core curriculum for mathematics in fourth grade has, among other concepts students might be tested on, the following:

Number & Operations—Fractions [limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100]

Extend understanding of fraction equivalence and ordering.

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

One of my hallmark theories is that kids learn best by self-directed exploration of concepts, even from the earliest of ages. This online manipulative is more than just a set of practice problems or drills. It lets kids manipulate the four fractions and then compare the amount shaded in the fraction bars themselves.

Put the following fractions in order from least to greatest:
1/2, 2/3, 3/4, 4/10

This tool will actually let them explore, make mistakes without the consequences of a high-stakes test, and—simply put—learn at their own pace.

Let them explore what happens to the shaded area as they increase the denominator—or how the pieces contract all the way around the wheel. Just let them play with it, without any testing or quizzes. After a while, you will find they have learned more than they would have learned if you had been quizzing and drilling them in a high-speed manner all along.

As always, Answer Maryland is free for everyone. If you sign up for an account on the service, you will be able to start a conversation about this manipulative demo or about any other topic your heart desires. If your teachers, parents, classmates, or friends have accounts as well, your conversation will be available for them, to help as might be needed.

## 2.4 Compare And Order Fractions And Decimalsmr. Mac's Page Printable

### Improvements coming

• The Common Core in fourth grade strictly limits the denominators that may be used in testing. It’s much easier, with an online tool, to just let kids manipulate the denominators to whatever number they want, so that’s how this tool works. It seemed ridiculous to limit their exploration to fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.
• Version 2 of the demo will allow students to see an extended number sentence, something like 1/2 = 4/8 < 2/3 < 3/4, showing equivalent fractions for each with a common denominator, a common numerator, and decimal equivalents.

Enjoy!!