Content Session #1 July 8, 2009. There are 34 children in a room. There are 8 more girls than boys. How many girls and how many boys are there in the.

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Presentation transcript:

Content Session #1 July 8, 2009

There are 34 children in a room. There are 8 more girls than boys. How many girls and how many boys are there in the room?

What if? There is a tape that is 34 inches long. I want to cut it into two pieces, and one piece must be 8 inches longer than the other. How long will the two pieces be?

Representing the Problem

What if there were 8 fewer girls?

What if there were 8 more boys?

What if there were the same number of girls and boys? That is, what if there were 4 fewer girls and 4 more boys?

Can you represent and solve this problem? There are 110 books in a bookcase. There are 6 more books on the middle shelf than there are on the top shelf. There are 5 more books on the bottom shelf than there are on the middle shelf. How many books are on each shelf (top, middle and bottom)?

Looking Back Problem Solving Standards Students will solve problems (using appropriate technology). a.Build new mathematical knowledge through problem solving. b.Solve problems that arise in mathematics and in other contexts. c.Apply and adapt a variety of appropriate strategies to solve problems. d.Monitor and reflect on the process of mathematical problem solving.

Looking Back Problem Solving Standards Students will solve problems (using appropriate technology). a.Build new mathematical knowledge through problem solving. b.Solve problems that arise in mathematics and in other contexts. c.Apply and adapt a variety of appropriate strategies to solve problems. d.Monitor and reflect on the process of mathematical problem solving.

Looking Back Problem Solving Standards Students will solve problems (using appropriate technology). a.Build new mathematical knowledge through problem solving. b.Solve problems that arise in mathematics and in other contexts. c.Apply and adapt a variety of appropriate strategies to solve problems. d.Monitor and reflect on the process of mathematical problem solving.

A mathematics lesson starts when students solve a problem! The solution is not the goal of a mathematics lesson!

What are the teacher’s roles?