Embedded Files
TOPIC A: Understanding Decimal Numbers with Place Value and Fraction Thinking
TOPIC A: Understanding Decimal Numbers with Place Value and Fraction Thinking
Dear Family,
Your student is learning that the place value unit thousandths is made by decomposing ​​1​​ hundredth into ​​10​​ equal parts. Students represent decimal numbers to thousandths by using models. They also name decimal numbers to thousandths in unit form, fraction form, decimal form, standard form, and expanded form. Your student describes the relationships between place value units as ​​10​​ times as much as the next smaller unit and ​​ 1/10  ​​ as much as the next larger unit. This helps students multiply and divide decimal numbers by powers of ​​10​​. Students also use place value to compare the value of digits in decimal numbers and to round to any place value. Students recognize that the thinking and reasoning used to multiply, divide, compare, and round whole numbers are the thinking and reasoning used to multiply, divide, compare, and round decimal numbers.
NEW KEY TERMS
inequality
An inequality is a statement that compares two expressions by using > or <. (Lesson 29)
thousandths
Thousandths are a place value unit. 1 one can be decomposed into 1,000 thousandths. (Lesson 1)
FAMILAR TERMS
associative property of multiplication
bundle
exchange
rename
commutative property of multiplication
compare
distributive property
expanded form
exponent
hundredths
long division
power of 10
round tenths
AT HOME ACTIVITY
Find a sample of our lessons below to help support MATH TALK at home.
Students also have these in their APPLY workbook.
Lesson 1
Model and relate decimal place value units to thousandths.
Decomposing hundredths into 10 equal parts results in a unit called thousandths. The 10 times as much as relationship between a place value unit and the next larger unit is also true for decimal numbers. The value of a smaller place value unit is 1/10 as much as the value of the next larger unit.
EM2_G5_M4_TA_L01_PracticePartner.pdfEM2_G5_M4_TA_L01_PracticeSolutions.pdfLesson 2
Represent thousandths as a place value unit.
Composing 10 thousandths makes 1 hundredth, and decomposing 1 hundredth makes 10 thousandths. I can use the same models I use to represent other place value units to represent decimal numbers with thousandths. I can write decimal numbers in the same forms as other numbers.
EM2_G5_M4_TA_L02_PracticePartner.pdfEM2_G5_M4_TA_L02_PracticeSolutions.pdfLesson 3
Represent decimal numbers to the thousandths place in different forms.
The value of a digit in a decimal number depends on its place value unit. I can write decimal numbers in expanded form in more than one way to represent the values of digits.
EM2_G5_M4_TA_L03_PracticePartner (1).pdfEM2_G5_M4_TA_L03_PracticeSolutions (1).pdfLesson 4
Relate the values of digits in a decimal number by using place value understanding.
The 10 times as much as and 1/10 as much as relationships between place value units are also true between the value of digits that are next to each other in a whole number or decimal number. I can represent the relationships by using statements and equations.
EM2_G5_M4_TA_L04_PracticeSolutions.pdfEM2_G5_M4_TA_L04_PracticePartner.pdfLesson 5
Multiply and divide decimal numbers by powers of 10.
For every factor of 10 that I multiply a decimal number by, the digits in the number shift one place value unit to the left. For every factor of 10 that I divide a decimal number by, the digits in the number shift one place value unit to the right. When the power of 10 is written by using an exponent, the exponent represents the number of factors of 10.
EM2_G5_M4_TA_L05_PracticeSolutions.pdfEM2_G5_M4_TA_L05_PracticePartner.pdfLesson 6
Compare decimal numbers to the thousandths place.
Comparing decimal numbers is similar to comparing whole numbers. Thinking about which number is farther to the right on a number line helps me determine which number is greater. Starting with the largest unit and looking for the first place where the numbers are different helps me determine which number is greater.
EM2_G5_M4_TA_L06_PracticePartner.pdfEM2_G5_M4_TA_L06_PracticeSolutions.pdfLesson 7
Round decimal numbers to the nearest one, tenth, or hundredth.
Thinking about unit form and using a vertical number line can help me round a decimal number. Plotting the decimal number between two benchmark numbers and using the number line helps me determine which benchmark number the decimal number is closer to.
EM2_G5_M4_TA_L07_PracticePartner (1).pdfEM2_G5_M4_TA_L07_PracticeSolutions.pdfLesson8
Round decimal numbers to any place value unit.
I can use place value understanding to round a decimal number to any place value unit. Rounding decimal numbers to a place value unit can help me make a problem simpler to understand.
EM2_G5_M4_TA_L08_PracticePartner.pdfEM2_G5_M4_TA_L08_PracticeSolutions.pdfReport abuse