Math Place Value

NS/N: PLACE VALUE AND DECIMALS

BIG IDEAS

(taken from “Big Ideas by Dr. Small”):
  1. The place value system we use is built on patterns to make our work with numbers more efficient.
  2. Students gain a sense of the size of numbers by comparing them to meaningful benchmark numbers.
  3. Decimals are an alternative representation to fractions, but one that allows for modeling, comparisons, and calculations that are consistent with whole numbers; because decimals extend the pattern of the base ten place value system.
  4. A decimal can be read and interpreted in different ways; sometimes one representation is more useful than another in interpreting or comparing decimals or for performing and explaining a computation.

STUDENT LEARNING GOALS

GOAL: I can demonstrate and explain equivalent representations using powers of ten
GOAL: I can identify and explain patterns within our place value system (including decimals)
GOAL: I can use these patterns to represent whole and decimals numbers in standard form, expanded form, in pictures, and in words
GOAL: I can compare and order whole and decimals numbers and plot them on a number line
GOAL: I can round whole and decimals numbers to meaningful benchmarks
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