Reflection: Discourse and Questioning Making the Most of Rates and Unit Rates! - Section 1: DO NOW

I really liked this problem as students were able to think about it in different ways which then led to some really good discussion.

Students were able to say that the ratio of boys to students was 4:9.  When it came to part b, however, they went back to the 4 to 5 ratio (boys to girls) when the question clearly asked them to find out how many students would there be if there were 120 boys.

Some students used a ratio table using the 4:5 ratio and they wanted to make 120 on the bottom for the boys.  They forgot that students are both boys and girls and that they would need to add the two to get the total amount of students.

Another group used the 4 to 9 ratio which is an expert leap.  They saw that the problem asked for boys to students ratio and they had already found that in part a.  They knew there target number was 120 boys so they worked the table to find out that it would be 270 students altogether.

I really like using the terminology "expert leap".  The students want to be considered experts and they try different things to achieve that status.  I usually let them know if there is an expert leap invovled in the problem to help get them motivated.

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Discourse and Questioning: Possible solutions

Making the Most of Rates and Unit Rates!

Unit 3: Ratios and Proportions
Lesson 11 of 25

Big Idea: Students will be making sense of problems and looking for structure in this lesson about real life rates and unit rates.

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80 minutes