Reflection: Developing a Conceptual Understanding Sizing your Own Cup - Section 3: Exploration on white boards


To combat the problems with rushing to procedure when students learn shortcuts try estimation first! When students have figured out the steps to take, even if they understand why they work, they make careless errors and forget to turn on their brain to check if their answer is reasonable. Asking them first to make an estimate may be enough to remind them to check their final answer, especially if you make them write it down. Before finding 40 percent of 20 ml. I had my class think through a quick estimate. I asked "will it be more or less than 20ml? 10ml? 2ml? How do you know?" When they decided it would be a little less than 10 ml. because 40% is a little less than half I made them write it down. 40% of 20ml. is a little less than 10ml. Then, when some of them got 40ml as an answer most of them immediately knew it was wrong and figured out their mistake.

  Estimation is key!
  Developing a Conceptual Understanding: Estimation is key!
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Sizing your Own Cup

Unit 8: Exploring Rational Numbers
Lesson 18 of 20

Objective: Students will be able to mentally calculate percents of numbers.

Big Idea: Students can use 10% as a building block for other percents.

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Math, Number Sense and Operations, Mental Math, multiple methods, Student Choice, rational numbers
  54 minutes
multiple methods
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