Day 40: Graphing Ratios

6th Grade Math Standards: 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? c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities

The Learning Objective: Graph ratios on the coordinate plane

Quote of the Day: “The sun and wind debated about which was the stronger, and the wind said, ‘I’ll prove I am. See the old man down there with a coat? I bet I can get his coat off him quicker than you can.’ So the sun went behind a cloud, and the wind blew until it was almost a tornado, but the harder it blew, the tighter the old man clutched his coat to him.
Finally the wind calmed down and gave up, and then the sun came out from behind the clouds and smiled kindly on the old man. Presently, the man mopped his brow and pulled off his coat. The sun then reminded the wind that gentleness and friendliness were always stronger than fury and force.” – Dale Carnegie
Question from Yesterday (as always from a student): How do we find equivalent ratios?

Assessment: There was a guided practice built into the book, which was used as a ticket to start the homework.

Agenda:

1. Jumpstart with tape diagrams and check weekly quizzes
2. Review the equivalent ratios homework
3. Graphing ratios notes
4. Graphing ratios practice
5. Graphing ratios homework

Glass-Half Full: I enjoyed the kinesthetic motions of the x-axis, y-axis origin (making a cross with the arms and hitting my head), and making parenthesis with the arms for ordered pair.

Regrets: I hate the math book for not connecting the dots on certain problems to demonstrate that there are decimal relationships between variables such as time and money. It is a higher order concept for some students that need to be challenged.

Link of the Day: Growth mindset in 9 statements that turn into larger things to read.