guzinta math proportions

Guzinta Math 7th 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.

Introduction to Proportions

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

In this lesson, students learn that a proportion is a statement that two ratios are equivalent, or equal. They also learn three different ways to identify a proportion from an equivalent ratio statement: divide the numerator and denominator of each ratio, divide across numerators and denominators, and cross multiply. Students explore proportions in the context of measuring heights and shadow lengths. Students will also learn yet another way to identify a proportional relationship—using a graph. If two ratios form a proportion, then the points representing the ratios can be connected by a straight line that runs through the origin at (0, 0) on the coordinate plane. Students will plot ordered pairs given situations and then discern whether the relationship is proportional. Finally, students will learn that two angles whose measures have a sum of 90 degrees are called complementary angles, and two angles whose measures have a sum of 180 degrees are called supplementary angles. Students will use knowledge about this relationship, and some algebra from their previous years, to determine the degree measures of unknown angles.

Module 1 Video

This video shows how height is proportional to shadow length. It demonstrates that when two ratios are equal, they form a proportion. Knowing that a relationship is proportional can help you solve problems.
intro to proportions
Identify proportions and proportional relationships.
guzinta math proportions
7-RP.A.2, 7-RP.B.5