

Unit 1 Place
Value and Decimal Fractions Grade
5 


Unit
Length and Description: 20 days Students
extend their understanding of patterns in the base ten system
as they work with multidigit whole numbers and decimals to the thousandths
place. Students use whole number exponents to denote powers of
10. They will begin to understand why multiplying
by a power of 10 shifts the digits of a whole number or decimal that many
places to the left. Students explain
patterns in the placement of the decimal point when a decimal is multiplied
or divided by a power of ten. Students build on the understanding they developed in
fourth grade to read, write, and compare decimals to thousandths using
baseten numerals, number names and expanded form. Students use decimal notation for fractions
with denominators of 10 and 100 to decimals to the thousandths. Students compare two decimals to the
thousandths place using >, =, and < symbols to record the results of
the comparisons. Students use place
value understanding to round decimals.
Students apply their place value understandings to problem
solving with metric conversions. 

Standards:


Enduring
Understandings: ·
Understanding
the multiplicative patterns of the base ten system helps me compose and
decompose numbers. ·
It is
important to understand that a digit represents 10 times the value of what it
represents in the place to its right, and 1/10 of what it represents in the
place to its left. ·
Using
exponents involving powers of 10, helps me solve problems with metric
conversion. ·
Understanding
place value helps me read, write, compare and round decimals and perform
mathematical operations. 
Essential
Questions: ·
What is the
relationship between the number of factors of 10 and the shift of the
position of the digits on a place value chart? ·
How can I
use place value to solve problems involving metric conversion? ·
How can I
use exponents or unit fractions to represent numbers in expanded form? 


