Transcript 4th_MA_NS_1.9_NUMBER_LINE_DECIMALS_DW

Name _________________________
Learning Objective
Today, we will identify1 decimal numbers on a number line.
1
find
CFU
What are we going to do today?
What does identify mean? Identify means __________.
Activate (or provide) Prior Knowledge
Money amounts are written using decimal numbers.
A decimal number is a number that shows a whole number plus part of a whole number separated by a decimal
point.
Identify the whole number part of the numbers below.
1. $6.25
2. $7.38
Decimal Number
2.75
means
2
plus
0.75
Identify the part of the whole in the numbers below.
1. $8.36
2. $9.72
CFU
Students, you already know how to read decimal numbers. Today, we will identify decimal numbers on the number line.
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4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Concept Development
A decimal number is a number that shows a whole number plus part of a whole
number separated by a decimal point.
Decimal numbers can be represented2 on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
2
Decimal Number
shown
Number line with decimal numbers shown
Tenths:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Hundredths:
0.48
0.49
0.5
0.51
0.52
2.75
means
2
plus
A
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
1
0.75
2
C
0.53
0.54
0.55
0.56
0.57
0.58
0.59
1.1
1.2
0.6
CFU
Which of the following is equal to 7.35?
A 7 + 35
B 7 + 0.35
C 35 + 0.7
B
Which of the following is a possible value for the letter B on the number line?
How do you know?
A 4.25
B 2.25
C 3.3
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2
3
4
4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Identify decimal numbers on a number line.
Step #1: Read the question carefully.
Step #2: Determine3 which two whole numbers the decimal number is between on the number line.
a. Locate4 the point between the whole numbers. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
3
figure out
4
find
1. Which point represents 0.7?
A
B
2. Which point represents 0.2?
C
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
A
D
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
0
1
3. Which point represents 1.3?
A
0
B
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
C
1
2
2
5. Which point represents 1.3?
A
0
1
D
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
A
C
1
B
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
2
2
D
2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9
3
6. Which point represents 3.4?
BC
0.5
C
0
1
4. Which point represents 2.6?
D
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
B
1.5
1.3
A
D
2
3
B
3.5
3.4
C
D
4
4.5
5
CFU (#2) How did I/you identify which two whole numbers the decimal number was between?
(#2a) How did I/you locate the point between the whole numbers?
(#3) How did I/you label the correct decimal?
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©2012 All rights reserved
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4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Identify decimal numbers on a number line.
Step #1: Read the question carefully.
Step #2: Determine which two tenths the decimal number is between on the number line.
a. Locate the point between the tenths. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
7. Which point represents 1.07?
A
B
8. Which point represents 2.24?
C
1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09
1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19
1.2
1.0
1.1
9. Which point represents 2.33?
A
2.2
B
2.25
C
2.3
A
D
2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19
ABC
2.33
2.4
CD
2.21 2.22 2.23 2.24 2.25 2.26 2.27 2.28 2.29
1.2
2.1
2.2
10. Which point represents 4.61?
D
2.35
B
4.6
D
4.65
4.61
4.7
4.75
4.8
CFU
(#2) How did I/you identify which two whole numbers the decimal number was between?
(#2a) How did I/you locate the point between the whole numbers?
(#3) How did I/you label the correct decimal?
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4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Relevance
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
1. Identifying decimal numbers on a number line will help you compare, add, subtract,
multiply, and divide decimal numbers.
1.78
+ 2.21
3.99
2. Identifying decimal numbers on a number line will help you do well on tests.
CFU
Does anyone else have another reason why it is relevant to identify decimal numbers on a number line? (pair-share) Why is it relevant to
identify decimal numbers on a number line? You may give one of my reasons or one of your own. Which reason is more relevant to you?
Why?
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4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Decimal Number
Skill Closure
Identify decimal numbers on a number line.
2.75
means
Step #1: Read the question carefully.
Step #2: Determine which two numbers the decimal number is between on the number line, if needed.
a. Locate the point between the numbers. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
A B
D
1
plus
0.75
2. Which point represents 2.15?
1. Which point represents 0.4?
A BC
2
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
2
C
D
2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19
2.1
2.21 2.22 2.23 2.24 2.25 2.26 2.27 2.28 2.29
2.2
1.2
Constructed Response Closure
Which of the following numbers
are between 5.50 and 6?
A 5.25
B 5.75
C 5.80
D 6.10
Explain why the other choices are not between 5.50 and 6.
___________________________________________________
___________________________________________________
Summary Closure
What did you learn today about identifying decimal numbers on the number line?
Day 1 ______________________________________________________________________
Day 2 ______________________________________________________________________
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4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Independent Practice
Name __________________________
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Identify decimal numbers on a number line.
Step #1: Read the question carefully.
Step #2: Determine which two whole numbers the decimal number is between on the number line, if needed.
a. Locate the point between the whole numbers. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
1. Which point represents 0.1?
A
B
C
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1
D
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
3. Which point represents 1.2?
A B
C
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1
0.5
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1
2
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
2
BC D
1.5
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1
D
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
4. Which point represents 3.9?
B
A
D
5. Which point represents 1.9?
A
0
2. Which point represents 0.5?
A
BC
1.9 2
2
2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9
3
C
3
3.5
4
D
3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9
6. Which point represents 4.1?
A
B
C
4
D
4.5
4.1
2
5
4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Independent Practice (continued)
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Identify decimal numbers on a number line.
Step #1: Read the question carefully.
Step #2: Determine which two tenths the decimal number is between on the number line, if needed.
a. Locate the point between the tenths. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
7. Which point represents 1.14?
A
B
8. Which point represents 2.24?
C
1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09
A
D
1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19
1.2
1.0
1.1
9. Which point represents 2.37?
B
A
2.2
2.25
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C
2.35
2.37
B
2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19
CD
2.21 2.22 2.23 2.24 2.25 2.26 2.27 2.28 2.29
1.2
2.1
2.2
10. Which point represents 5.99?
ABC
D
2.4
5.9
5.95
6
5.99
D
6.05
6.1
4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
Name __________________________
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Identify decimal numbers on a number line.
Step #1: Read the question carefully.
Step #2: Determine which two numbers the decimal number is between on the number line, if needed.
a. Locate the point between the numbers. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
1. Which point represents 1.13?
A
B
C
1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09
1.0
D
1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19
1.2
1.1
3. Which point represents 1.2?
A
B
C
0
2. Which point represents 2.64?
A
B
1
B
1.1
D
A
2
1.2
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2.64
2.7
6
B
C D
6.1
6.15
6.2
6. Which point represents 3.12?
C
1.2
2.6
D
4. Which point represents 6.15?
5. Which point represents 1.25?
A
2.5
C
D
1.25
A
1.3
3
BC
3.1
3.12
D
3.2
4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
Name __________________________
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Identify decimal numbers on a number line.
Step #1: Read the question carefully.
Step #2: Determine which two numbers the decimal number is between on the number line, if needed.
a. Locate the point between the numbers. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
1. Which point represents 2.25?
A
B
2.1
2.2
3. Which point represents 4.75?
A
4.6
4.7
C
2.25
2. Which point represents 3.73?
A
B
CD
D
2.3
0.9
4. Which point represents 5.03?
BCD
4.75
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BC D
A
4.8
4.9
5
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1.01
5.1
5.03
6. Which point represents 4.98?
CD
1
3.9
3.8
3.73
5. Which point represents 1.01?
AB
3.7
A
1.1
4.8
4.9
BCD
4.98
5
4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
Name __________________________
Decimal numbers can be represented on a number line.
 To represent tenths, divide the segment between each whole number into ten equal parts.
 To represent hundredths, divide the segment between each tenth into ten equal parts.
Identify decimal numbers on a number line.
Step #1: Read the question carefully.
Step #2: Determine which two numbers the decimal number is between on the number line, if needed.
a. Locate the point between the numbers. Hint: Count the divisions.
Step #3: Label the correct decimal, if needed.
1. Which point represents 2.78?
A
B
2.7
C
D
2.9
2.78 2.8
3. Which point represents 4.78?
A
B
C
4.7
2. Which point represents 3.12?
A
B C
3
3.1
D
A
4.9
5. Which point represents 6.04?
6.4
BC D
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6.6
6.5
6.51
6. Which point represents 6.39?
ABCD
6
3.2
3.12
4. Which point represents 6.51?
4.78 4.8
5.9
D
6.04
A BCD
6.1
6.2
6.3
6.4
6.39
4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.
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©2012 All rights reserved
Comments? [email protected]
4th Grade Number Sense 1.9 (3Q)
Identify on a number line the relative position of positive fractions, positive
mixed numbers, and positive decimals to two decimal places.
Lesson to be used by EDI-trained teachers only.