# Math Matters

## Math Cut Ups Edition, Volume 13 December 2015

## All Things in Proper Proportion

### Modeling Proportions

### How many Math concepts relate to proportions?

Using this modeling idea quickly can lead students to understanding decimal fractions, which supports decimal-fraction conversion; then comes percents as a proportion using 100 as the whole, and then the possible applications are endless for success as a math student!

### Portion vs Proportion - a brief lesson in English

For a quick activity, use the concept of a plate of food. The portion is the amount of one item or category on the plate, such as the portion of vegetables. The proportional example would be to examine the relationship of the amount of vegetables compared to the total amount of food on the plate.

One way to see how students are progressing with proportions is to provide them with problems and examples of how another student set up the problem. Ask students to examine how the problem was set up and to determine if the proportion is set up correctly in order to solve the problem. If the problem is not set up correctly, then have students "fix" it. This task allows the teacher to analyze the student's thinking and if they understand that the unit labels are important for setting up the problem.

### Dynamic Paper

### Proportion Warm Up + Line Up

This month I'm featuring a a title keeping to our theme of proportions, Proportion Warm Up + Line Up. The set actually includes 2 different activities made for use with your whole class. First all students each get one of the 4 different cards. Students with the same problem card group together to talk about the problem and work out how to explain it to others. Then this group separates and students form a group of 4 with students who all have the different 4 cards. They take turns explaining to each other the problem on their card and its solution method. This task helps "warm up" students by reviewing how to solve a proportion problem.

The second part of the activity set is the Line Up activity. For this activity each student gets one problem cards. Each of the 30 cards presents an application problem for which a proportion should be set up and solved to determine the answer. Students work independently on their problem and then as a whole class, order their solutions numerically from least to greatest. When they do, small letters on the corner of each card will provide a self0checking phrase for the class to know they lined up correctly.

Each package of Proportion Warm Up + Line Up contains the 2 activities and enough problem cards for 30 students. All materials are pre-printed in color on cardstock and for just $10 comes ready to laminate, cut, and use!

Visit my square market page for purchasing or visit my full website for more titles and ideas. I also have a Facebook page, Twitter account, and a Pinterest page if you are interested in following me there.

### Proportion Modeling with EduSMART Math

Modeling is a critical part of the teaching process. Using visual models helps students get a clearer picture of the concept behind the topic being covered and makes learning deeper, easier to connect to other knowledge, and more interesting for students. Throughout the instructional modules of Edusmart, visual modeling also plays a key role and is prominent as part of the teaching process. While using the instructional module video, teachers can show how a concept is modeled, then pause and work additional examples as needed using our built in white board. You can also incorporate the available virtual manipuatives into instruction to provide even more clarity and model with students how the process might work in a hands-on way.

Click here for a sample of how Edusmart models the concept of proportions with scale drawings.

If you are interested in learning more check out EduSmart Math today. And if you have questions or thoughts, please email me anytime!

### Kelli Mallory, Ed.D.

Mathematics Enthusiast

Math Cut Ups creator

Edusmart Mathematics Director

**Email: **integralmathematics@gmail.com**Website: **www.mathcutups.com**Phone: **214-471-5760**Facebook: **facebook.com/Math-Cut-Ups-155205867883398/timeline/?ref=hl**Twitter: **@mathcutups