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In this lesson, students will learn about equivalent ratios, rates, and unit rates. They will use equivalent ratios to fill in missing numbers in tables and how to multiply and divide to determine equivalent ratios. The language “For every ___, there are ___” is used here to describe ratios. This language reinforces the idea that ratios are not necessarily descriptions of “fixed” amounts, but of amounts that can change together multiplicatively. Students will learn that rates are just ratios where the terms are given in different units. They will also briefly look at how a double number line can be used to model and find rates and unit rates. Finally, students will learn about kinetic energy, the energy of a body in motion, and the formula for calculating the kinetic energy of an object in motion, which relies on the velocity of the object.
Module 1 Video
This video connects with the opening context in Ratio Names on identifying ratios and extends that lesson to include recording and reading ratios in tables and beginning to determine equivalent ratios.
The key concept for this lesson is that, if two values are in a ratio relationship, that means that if one value is multiplied or divided by a number, the other value is multiplied or divided by the same number.
The language “For every ___, there are ___” is important to convey this meaning of ratios.
Module 2 Video (1 of 2)
This video introduces speed as a mathematical rate. To know the speed, one must know both the distance an object travels and the time it takes. The speed of the object is a ratio of distance to time, which is a rate.