Sunday, September 21, 2014

Grade Five: Exploring Place Value

“There are only three colors, ten digits, and seven notes, it’s what we do with them that’s important."

― Jim Rohn

Amazing that only 10 digits can make all numbers to "infinity and beyond."

First, post and review the standards.
  • 5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
  • 5.NBT.A.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
  • 5.NBT.A.3 Read, write, and compare decimals to thousandths.
  • 5.NBT.A.4 Use place value understanding to round decimals to any place
Facilitate a review and conversation with students. It's difficult to begin a unit of study without a discussion that helps the educator understand students' knowledge, questions, and even misperceptions related to the topic. 
  1. What do you know about place value?
  2. How did place value come about?
  3. Why is place value important?
  4. Look at the models of Base 10 place value below, which do you feel is most accurate or useful and why?
  5. If you were to make an ideal Base 10 place value model, what would you include and why?

4. What happens to the values of numbers as we move from left to right of the place value chart?  What does this model show us?

7. Watch these films and think about our past conversation, what would you change or add, and what questions do you have?

8. Let's work with familiar numbers, numbers that matter to us.  For each number we'll write standard, number name, expanded, and exponential form. We'll also write equations, expressions, and inequalities that show the value of these numbers. Finally, we'll make models of these numbers, models that show each number's value and the relationship between and within each number.

9. After this project, we'll solve problems that use our knowledge of place value as it relates to the standards.