Guzinta Math 6th grade Common Core lesson apps are compact math lesson plans designed to supplement your school or home mathematics instruction. Each math lesson plan contains detailed instructor notes to provide guidance and facilitate discussion about concepts between you and your student or students. Lesson plans feature video instruction, worked examples, guided practice, and some lesson plans feature interactive instructional simulations to help achieve peak cognitive engagement! Bookmark Guzinta Math and come back to see what's new. We'll be adding conceptual practice and science connections to each lesson plan, extending the suite of lesson apps, and much more.

Percent Of a Number

Click on the image at right to get the lesson app with instructor notes.

In this lesson, students review multiplying fractions by whole numbers (5.NF.B.4a) in mathematical and real-world contexts, with the fraction in this case being a percent—a fraction with a denominator of 100. Students thus learn how to determine the percent of a number. Students also practice converting percents into fractions in simplest form. A mental math method of working with percent-of problems is also covered.

Video

This video begins with three examples of "value of a number" constructions to show that they all involve multiplication—2 of the boxes, one half of a box, and 30% of a box. A percent is defined as a ratio with a denominator of 100. So, 100% is 100/100, which is equal to 1. Thus, students can use percents like fractions (which are part-to-whole ratios).

I make a fantastic mistake at the end of this video. See if your students can catch it. (I say that 1% of the box of shoes is 1 shoe. This can't be right, since 30% is 3 shoes. One percent of the box is actually one tenth of a shoe.)