Transcript 5.NBT.4 PowerPoint (1)x

Learning Objective
We will round decimals.
CFU
What are we going to do?
Activate Prior Knowledge
Place value: The place is the position of a digit in a number.
The value is the worth of the digit due to its
position.
1. What is the value of the digit 7?
9 3 6. 7 1
The value of 7 in 936.71 is _______.
0.7
2. What is the value of the digit 6?
Make Connection
Students, you already know
how to identify the place value
of numbers. Now, we are going
to use place value to round
decimals.
9 7. 5 2 6
The value of 6 in 97.526 is _______.
0.006
READY TO TEACHSM EDI® Lessons
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CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Use place value understanding to round decimals to any place.
Lesson to be used by EDI-trained teachers only.
Concept Development
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Rounding Decimals
Round 82.53 to the nearest tenth.
CFU
Would 3.72 rounded to the
nearest tenth round up or
down? How do you know?
82.53
82.5
82.55
82.6
82.53 rounded to the nearest tenth is 82.5
because it is nearer in value to 82.5 than 82.6.
Round 82.53 to the nearest one.
82.5
3.75
3.8
A up
B down
Would 3.72 rounded to the
nearest one round up or down?
How do you know?
3
3.5
4
A up
B down
82.53
82
3.7
83
In your own words, what does
it mean to round a decimal
number?
“To round a decimal number means
______________.”
82.53 rounded to the nearest one is 83 because
it is nearer in value to 83 than 82.
©2013 All rights reserved.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice Part 1
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round decimals.
1 Read the problem and identify1 the place value to round to. (circle)
2 Label the number line with the appropriate2 numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret3 your answer. (write)
CFU
1 How did I/you identify the
place value to round to?
2 How did I/you label the
number line?
3 How did I/you place the
1. Round to the nearest hundredth.
45.327
36.428
45.325
45.33
__________
45.327 rounded to the nearest
hundredth is ________
45.33 because
it is nearer in value to 45.33 than
______________________________
45.32.
______________________________.
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4 How did I/ you round the
number?
36.428
45.327
45.32
given number on the
number line?
2. Round to the nearest hundredth.
36.42
36.425
36.43
__________
36.428 rounded to the nearest
36.43 because
hundredth is ________
it is nearer in value to 36.43 than
______________________________
36.42.
______________________________.
Vocabulary
1
find (synonym)
right for a certain purpose
3 explain
2
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round decimals.
1 Read the problem and identify1 the place value to round to. (circle)
2 Label the number line with the appropriate2 numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret3 your answer. (write)
CFU
1 How did I/you identify the
place value to round to?
2 How did I/you label the
number line?
3 How did I/you place the
3. Round to the nearest tenth.
48.640
67.530
48.640
48.6
48.65
4 How did I/ you round the
number?
67.530
48.7
48.640 rounded to the nearest
__________
tenth is ________
48.6 because
______________________________
it is nearer in value to 48.6 than
______________________________.
48.7.
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given number on the
number line?
4. Round to the nearest tenth.
67.5
67.55
67.6
67.530 rounded to the nearest
__________
tenth is ________
67.5 because
it is nearer in value to 67.5 than
______________________________
67.6.
______________________________.
Vocabulary
1
find (synonym)
right for a certain purpose
3 explain
2
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round decimals.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
CFU
1 How did I/you identify the
place value to round to?
2 How did I/you label the
number line?
3 How did I/you place the
5. Round to the nearest one.
98.604
87.506
98.604
98
98.5
4 How did I/ you round the
number?
87.506
99
98.604 rounded to the nearest
__________
one is ________
99 because
it is nearer in value to 99 than 98.
______________________________
______________________________.
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given number on the
number line?
6. Round to the nearest one.
87
87.5
88
87.506 rounded to the nearest
__________
88 because
one is ________
______________________________
it is nearer in value to 88 than 87.
______________________________.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice Part 2
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round decimals.
1 Read the problem and identify the place value to round to. (circle)
2 Determine4 whether to round up or down.
CFU
1 How did I/you identify the
Hint: Look at the digit in the next place value lower.
3 Round the number.
4 Interpret your answer. (write)
1. Round to the nearest hundredth.
place value to be rounded?
2 How did I/you determine
whether to round up or
down?
2. Round to the nearest hundredth.
3 How did I/you round the
number?
3 6. 7 1 2
4 5. 6 2 3
36.712 rounded to the nearest
__________
36.71 because
hundredth is ________
it is nearer in value to 36.71 than
______________________________
36.72.
______________________________.
45.623 rounded to the nearest
__________
45.62 because
hundredth is ________
it is nearer in value to 45.62 than
______________________________
45.63.
______________________________.
3. Round to the nearest tenth.
4. Round to the nearest tenth.
5 3. 8 5 1
53.851 rounded to the nearest
__________
53.9 because
tenth is ________
______________________________
it is nearer in value to 53.9 than
______________________________.
53.8.
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79.683
79.683 rounded to the nearest
__________
tenth is ________
79.7 because
it is nearer in value to 79.7 than
______________________________
79.6.
______________________________.
Vocabulary
4 figure
out
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
CFU
1 How did I/you determine what
the question is asking?
2 How did I/you determine the
math concept required?
3 How did I/you determine the
relevant information?
4 How did I/you solve and interpret
the problem?
5 How did I/you check the
reasonableness of the answer?
Round to the nearest dollar to solve the following problems.
5. A salad cost $4.78 and a bottled water cost
$0.60. Tory has $7.00, does she have
enough to buy both items?
$5 + $1 = $6
Tory has enough to buy both items.
©2013 All rights reserved.
6. A thumb drive cost $12.48 and a pack of DVD
cost $8.61. Carl has $18.00, does he have
enough to buy both items?
$12 + $9 = $21
Carl does not have enough to buy both items.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Relevance
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
1 Rounding decimals will help you estimate to solve realworld problems.
A pair of shoes costs $17.99 and a shirt costs $18.78. If Gilbert
has $40, does he have enough money to buy both items?
2 Rounding decimals will help you do well on tests.
Sample Test Question:
32. What is 650.287 rounded to the nearest tenth?
A 650
B 650.29
C 650.58
D 650.3
©2013 All rights reserved.
CFU
Does anyone else have another
reason why it is relevant to
round decimals? (Pair-Share)
Why is it relevant to round
decimals? You may give one of
my reasons or one of your own.
Which reason is more relevant
to you? Why?
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Skill Closure Part 1
Round decimals.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
1. Round to the nearest hundredth.
2. Round to the nearest tenth.
58.683
95.364
58.683
58.68
58.685
95.364
58.69
58.683 rounded to the nearest
__________
hundredth is ________
58.68 because
______________________________
it is nearer in value to 58.68 than
______________________________.
58.69.
©2013 All rights reserved.
95.3
95.35
95.4
__________
95.364 rounded to the nearest
tenth is ________
95.4 because
______________________________
it is nearer in value to 95.4 than
______________________________.
95.3.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Skill Closure Part 2
Round decimals.
1 Read the problem and identify the place value to round to. (circle)
2 Determine whether to round up or down.
Hint: Look at the digit in the next place value lower.
3 Round the number.
4 Interpret your answer. (write)
3. Round to the nearest hundredth.
7 2. 2 6 8
4. Round to the nearest tenth.
9 3. 5 3 7
__________
72.268 rounded to the nearest
hundredth is ________
72.27 because
______________________________
it is nearer in value to 72.27 than
______________________________.
72.26.
__________
93.537 rounded to the nearest
tenth is ________
93.5 because
______________________________
it is nearer in value to 93.5 than
______________________________.
93.6.
Access Common Core
When rounding to the nearest hundredths Isaac determined that 635.658 will be
rounded down.
635.658 is nearer in value to 635.66 so it
Explain why Isaac is incorrect.
Summary Closure
needs to be rounded down.
Word Bank
round
decimals
place value
round down
round up
What did you learn today about rounding decimals? (Pair-Share)
Use words from the word bank.
©2013 All rights reserved.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Independent Practice Part 1
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round decimals.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
1. Round to the nearest hundredth.
2. Round to the nearest hundredth.
92.742
95.366
92.742
92.74
95.366
92.745
92.75
92.742
__________
rounded to the nearest
92.74 because
hundredth is ________
it is nearer in value to 92.74 than
______________________________
92.75.
______________________________.
©2013 All rights reserved.
95.36
95.365
95.37
95.366
__________
rounded to the nearest
hundredth is ________
95.37 because
it is nearer in value to 95.37 than
______________________________
95.36.
______________________________.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Independent Practice (continued)
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round decimals.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
3. Round to the nearest tenth.
4. Round to the nearest one.
54.285
78.832
54.285
54.2
54.25
54.3
54.285 rounded to the nearest
__________
tenth is ________
54.3 because
______________________________
it is nearer in value to 54.3 than
______________________________.
54.2.
©2013 All rights reserved.
78.832
78
78.5
79
__________
78.832 rounded to the nearest
one is ________
because
79
______________________________
it is nearer in value to 79 than 78.
______________________________.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Independent Practice Part 2
To round a decimal number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round decimals.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
1. Round to the nearest hundredth.
8 2. 5 1 6
2. Round to the nearest hundredth.
4 3. 6 5 0
82.516 rounded to the nearest
__________
82.52 because
hundredth is ________
it is nearer in value to 82.52 than
______________________________
82.53.
______________________________.
43.650 rounded to the nearest
__________
43.65 because
hundredth is ________
it is nearer in value to 43.65 than
______________________________
43.66.
______________________________.
3. Round to the nearest tenth.
4. Round to the nearest one.
2 2. 7 5 3
22.753 rounded to the nearest
__________
22.8 because
tenth is ________
it is nearer in value to 22.8 than
______________________________
22.7.
______________________________.
©2013 All rights reserved.
9 3. 6 0 8
93.608 rounded to the nearest
__________
94
one is ________
because
it is nearer in value to 94 than 93.
______________________________
______________________________.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Independent Practice (continued)
Round to the nearest dollar to solve the following problems.
5. A large fruit smoothie cost $3.25 and a box of
peaches cost $7.73. Veronica has $12.00,
does she have enough to buy both items?
$3 + $8 = $11
Veronica has enough to buy both items.
©2013 All rights reserved.
6. A book cost $11.88 and a toy car cost $5.91.
Peter has $17.00, does he have enough to
buy both items?
$12 + $6 = $18
Peter does not have enough to buy both items.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
1. Round to the nearest hundredths
place.
2. Round to the nearest hundredths
place.
15.683
2 8. 2 0 9
15.683
15.68
15.685
15.69
15.683 rounded to the nearest
__________
15.68
hundredths place is ________
it is nearer in value to 15.68
because _______________________
than 15.69.
______________________________.
__________
28.209 rounded to the nearest
hundredths place is ________
28.21
because it_______________________
is nearer in value to 28.21
______________________________.
than 28.22.
Access Common Core
1. When rounding to the nearest tenths Dina determined that 967.583 will be
rounded down. Explain why Dina is incorrect.
967.583 should be rounded up because it is nearer in value to 967.6
2. When rounding to the nearest tenths Joseph determined that 534.192 will be
rounded down. Explain why Joseph is incorrect.
534.192 should be rounded up because it is nearer in value to 534.2
3. When rounding to the nearest tenths Jody determined that 794.354 will be
rounded down. Explain why Jody is incorrect.
794.354 should be rounded up because it is nearer in value to 794.4
©2013 All rights reserved.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
1. Round to the nearest tenths place.
2. Round to the nearest tenths place.
89.365
89.365
7 8. 6 3 4
89.3
89.35
89.4
__________
89.365 rounded to the nearest
89.4 because
tenths place is _______
_______________________________
it
is nearer in value to 89.4 than 89.3.
78.634 rounded to the nearest
__________
78.6
tenths place is ________
because
______________________________
it is nearer in value to 78.6 than 78.7.
Access Common Core
1. Choose Yes or No to indicate whether each statement is true about the decimal
number 94.632.
1a. 94.632 rounded to the nearest tenth is 94.6.
O Yes O No
1b. 94.632 is nearer in value to 94.63 than 94.64.
O Yes O No
1c. 94.632 rounded to the nearest one is 94.
O Yes O No
2. Choose Yes or No to indicate whether each statement is true about the decimal
number 69.841.
2a. 69.841 rounded to the nearest tenth is 69.8.
O Yes O No
2b. 69.841 is nearer in value to 69.84 than 69.85.
O Yes O No
2c. 69.841 rounded to the nearest one is 69.
O Yes O No
©2013 All rights reserved.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
1. Round to the nearest ones place.
2. Round to the nearest ones place.
22.631
22.631
22
22.5
5 3. 2 0 7
23
__________
22.631 rounded to the nearest
ones place is ________
because
23
______________________________.
it is nearer in value to 23 than 22.
53.207 rounded to the nearest
__________
ones place is ________
because
53
______________________________.
it
is nearer in value to 53 than 54.
Access Common Core
1. A bag of carrot sticks costs $2.98 and a turkey sandwich costs $4.21. If Zoe has
$10, does she have enough money to buy both items? Use rounding to explain.
Yes. $2.98 is nearer in value to $3 and $4.21 is nearer in value to $4. So $2.98 + $4.21 is
approximately $3 + $4 = $7 which is less than $10.
2. A hat costs $7.29 and a pair of sunglasses costs $8.99. If Adrian has $20, does
he have enough money to buy both items? Use rounding to explain.
Yes. $7.29 is nearer in value to $7 and $8.99 is nearer in value to $9. So $7.29 + $8.99 is
approximately $7 + $9 = $16 which is less than $20.
3. A jacket costs $34.75 and a pair of gloves costs $8.52. If Jordon has $50, does
he have enough money to buy both items? Use rounding to explain.
Yes. $34.75 is nearer in value to $35 and $8.52 is nearer in value to $9. So $34.75 + $8.52 is
approximately $35 + $9 = $44 which is less than $50.
©2013 All rights reserved.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective: We will round decimals.
Cognitive Strategies
Elaboration
Teaching Strategies
Demonstration
Language Strategies
Academic
Targeted
Vocabulary
Content
Support
identify, interpret, determine,
place, value, round
appropriate
Multiple-Meaning
Synonym
Vocabulary
Strategy
Definition
identify
interpret, determine, appropriate, place, value, round
Homophone
Internal Context Clue
Listen, Speak
Similar Sounds
Read
Tracked Reading
Write
Writing
Content Access Strategies
Comprehensible
Input
Cognates
Graphic Organizer
Contextual Clues
©2013 All rights reserved.
Contextualized
Definitions
Pictures
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.
Blank Page
©2013 All rights reserved.
CCSS 5th Grade Numbers and Operations in Base Ten 4.0
Round decimals.
Lesson to be used by EDI-trained teachers only.