The Learning Objective: Find the price of a single item in a product with multiple items
Quote of the Day: Born into poverty, Lincoln was faced with defeat throughout his life. He lost eight elections, twice failed in business and suffered a nervous breakdown. He could have quit many times - but he didn't and because he didn't quit, he became one of the greatest presidents in the history of our country.
Here is a sketch of Lincoln's road to the White House:
1816 His family was forced out of their home. He had to work to support them.
1818 His mother died.
1831 Failed in business.
1832 Ran for state legislature - lost.
l832 Also lost his job - wanted to go to law school but couldn't get in.
1833 Borrowed some money from a friend to begin a business and by the
end of the year he was bankrupt. He spent the next 17 years of his life
paying off this debt.
1834 Ran for state legislature again - won.
1835 Was engaged to be married, sweetheart died and his heart was broken.
1836 Had a total nervous breakdown and was in bed for six months.
1838 Sought to become speaker of the state legislature - defeated.
1840 Sought to become elector - defeated.
1843 Ran for Congress - lost.
1846 Ran for Congress again - this time he won - went to Washington and
did a good job.
1848 Ran for re-election to Congress - lost.
1849 Sought the job of land officer in his home state - rejected.
1854 Ran for Senate of the United States - lost.
1856 Sought the Vice-Presidential nomination at his party's national
convention - got less than 100 votes.
1858 Ran for U.S. Senate again - again he lost.
1860 Elected president of the United States.
What would happen to a ratio that was already put in simplest form if we added one more part to either ingredient? So if we had 20 chickens to 10 wolves and that ratio was simplified to 2:1 could it be 2:2 or even 1:1 if we added one more wolf?
Assessment: The homework from the night before was assessed with emphasis on number 18. In one class, I never had time to distribute homework, so I had them do it in class and worked with them on the highlighting aspect of breaking down the ratio problems.
Agenda:
- Partial Product (from Dan Meyer)
- Review homework and exit ticket
- Nana's Paint Mix Up (from Dan Meyer)
- Journal four questions. What is a ratio? What are three ways to write a ratio? What are the four steps to write a ratio? What is a wolf in ratios?
Glass Half-Full: I really enjoyed walking around the room and seeing students too high and too low responses to the Partial Product problem. I'm happy to see so many students giving logical numbers and following it up with logical reasoning. I'm sure the estimation will result in improvement in test scores, but if I had only a day or week to prepare for the test I wouldn't do estimation based activities. The time it takes to make it work is so much longer, but by taking the long view these students are really building a real world type of number sense. And the best part of all is that it is so much deeper than simply preparing the students for a standardized test. These problems are everyday things that can change the way that they perceive their decision making today.
Regrets: For the class that did the homework in class, I could not get to Nana's Paint Mix Up in class. I will obviously try to fit it in the future, but if we end up not getting to it, it will be unfortunate. In one class, I just sat with one group of two and worked it through with them in an unassuming manner. The rest of the class worked in partners and from what I could hear genuinely put effort toward finding a solution. The group I worked with ended up using 45 red and 9 white scoops of paint. The other students that correctly answered the problem used 25 red and 5 white scoops. It was great to listen to the answers that I got when I called on a couple students at random after giving ten minutes to try and solve.
Link of the Day: A list of the most innovative countries in the world. Finland is number one, the U.S. is number five.
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