Topic C
Place value and rounding decimal fractions
STANDARD - 5.NBT.4
Grade 5
Module 1 Lesson 7
Objective:
Round a given decimal to any place
value
place value understanding and the vertical
number line.
MATERIALS NEEDED
FOR THIS LESSON
Student
Student Pages
Sprint A & B
Problem Set
Exit Ticket
Homework
Place Value Chart
Personal White Boards
Teacher
Teacher Pages
Fluency Practice (12 minutes)
Find the Midpoint
7 minutes
5.NBT.4
1 minutes
Do as many problems as you can.
Do your personal best.
Take your mark!
Get set!
THINK!
Find the Midpoint
5.NBT.4
1 minutes
Do as many problems as you can.
Do your personal best.
Take your mark!
Get set!
THINK!
Compare Decimal Fractions
2 minutes
5.NBT.3b
12.57
0.67
83
100
12.75
67
100
0.084
328.2
4.07
328.099
forty-seven tenths
twenty-four and 9 thousandths
3 tens
Rename the Units
5.NBT.2
1.5 = ____ tenths
2.5 = ____ tenths
12.5 = ____ tenths
17.5 = ____ tenths
3 minutes
27.5 = ____ tenths
24.5 = ____ tenths
24.3 = ____ tenths
42.3 = ____ tenths
Application Problem
(8 minutes)
Craig, Randy, Charlie, and Sam ran in a 5k race on Saturday.
They were the top 4 finishers. Here are their race times:
Craig: 25.9 minutes
Randy: 32.2 minutes
Charlie: 32.28 minutes
Sam: 25.85 minutes
Who won first place? Who won second place? Third? Fourth?
Concept Development (30 minutes)
Problem 1
Strategically decompose a whole number using multiple units to round to the nearest
ten and nearest hundred
decompose 155
16 tens = 160
15 tens + 7 ones
15 ten + 5 ones = 155
15 tens = 150
2 hundreds = 200
155
1 hundred + 5 tens = 150
1 hundred = 100
Problem 2
Strategically decompose a decimal number to round to the nearest whole and nearest
tenth.
decompose 1.57
16 tenths = 1.60
15 tenths + 7 hundredths = 1.57
15 tenths + 5 hundredths = 1.55
15 tenths = 1.50
Problem 3
Strategically decompose a decimal number to round to the nearest ten, one, tenth, and
hundredth
decompose 4.381
Round to the
nearest tens
Round to the
nearest ones
Round to the
nearest tenths
Round to the
nearest
hundredths
Problem 4
Strategically decompose to round a number to the nearest one, tenth, and hundredth
Round to the
nearest
one
Round to the
nearest
tenth
tens
9
ones
9
99
tenths
7
7
997
Round to the
nearest tens
hundredths
9
9
9
9979
thousandths
9
9
9
9
99799
99.799
998 hundredths = 9.98
9.975
997 hundredths = 9.97
tens
9
ones
9
99
tenths
7
7
997
hundredths
9
9
9
9979
thousandths
9
9
9
9
99799
99.799
Round to the
nearest tens
tens
9
ones
9
99
tenths
7
7
997
hundredths
9
9
9
9979
thousandths
9
9
9
9
99799
99.799
Round to the
nearest ones
tens
9
ones
9
99
tenths
7
7
997
hundredths
9
9
9
9979
thousandths
9
9
9
9
99799
99.799
Round to the
nearest tenth
tens
9
ones
9
99
tenths
7
7
997
hundredths
9
9
9
9979
thousandths
9
9
9
9
99799
99.799
Round to the
nearest hundredths
Problem Set (10 minutes)
Do Your Personal Best
(Complete independently!)
Student Debrief (10 minutes)
In #2 which decomposition helps you most if you want to round to
the hundredths place? The tens place? Ones place? Why?
How was #1 different from both #2 and #3?
EXIT TICKET (3 minutes)
Complete the exit ticket and turn in...
HOMEWORK