Reflection: Problem-based Approaches Multiplying Fractions by Whole Numbers (Day 1) - Section 4: Apply what you know...

When I am designing my lessons, I always want to have enough to keep the students busy and working on a task and never have "nothing to do".  I make sure to plan more than enough, and never expect that they complete all of it.

Today, during the apply what you know, I realized that my students would need more time with this activity.  Most students had enough time to complete 1/5 of a set.  I do not expect all students to complete all 5 problems in a set, but I do want them to have more time to solve additional problems, have the opportunity to compare these problems, and then to check their work with each other as well as a correct model.

Collaboration is essential, I had them working in the same proximity so they an collaborate and I realized they needed more time.

Rather than rush right up to the end, I wanted to make a change and plan to extend this lesson into the following day.

Since they had limited practice, I had a hard time decided what to do with the ticket out. I decided to give it a try so I could monitor their progress.

Tomorrow, I will start the lesson by sharing the 3 strategies that most students used.

• Correct:  Make equivalent fractions with denominator of 24.

• Correct:  Divide 24 by 6 and then multiply that by 5.

• Incorrect: Divide 24 by 6 (this is 4) and then recognize that 5/6 is one 6th away from 24, so take 6 aways.  This is confusing because 1/6 is equal to 4.  So when you are taking 1/6 away, it it not the same as taking away 6.

This conversation will be the lead for tomorrow's lesson.  Then, I will check in with students who struggled with this while they continue to work tomorrow.

Students who used the equivalent fraction strategy took a great approach.  I will check in with them too, to make sure they are prepared to solve problems when equivalent fractions won't work out as well.

Problem-based Approaches: Rigorous Tasks are Time Consuming

Multiplying Fractions by Whole Numbers (Day 1)

Unit 4: Multiplying and Dividing Fractions
Lesson 2 of 13

Big Idea: Developing understanding of the multiplication of fractions and of division of fractions is a Critical Area in 5th grade.

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Subject(s):
Math, Fractions, Number Sense and Operations, multiplying, Critical Area
50 minutes

Julie Kelley

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