Day 43: Graphing Ratios

6th Grade Math Standards: 6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems, including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then, at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

6.NS.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Objective: Graph ratios; list ratios into ordered pairs; describe the relationship in a graph of a ratio relationship

Question of the Day: Does it matter which unit goes on the top or bottom of a double number line?

Agenda:

1. Correct the mistake (see Double Number Line mistake described here)
2. QSSQ 
3. Review the homework and pepper
4. Graphing review in partners as I passed back corrected weekly quizzes for students
5. Graphing kinesthetic exercise 
6. Book Notes
7. Book Homework

Assessment:

Glass Half-Full: I really enjoyed my new touch to the kinesthetic exercise. We did so much vocabulary today that it was especially helpful. Coordinate plane, x-axis, y-axis, origin, ordered pair, independent variable, dependent variable, and linear function were all said for the first time today this year. That's a ton. The kinesthetic helped, but there's no doubt we will need to work on this some more.

Regrets: The book problems are always kind of lame, but they do not take near the effort it takes to re-create other problems that are more engaging and more relevant.