LESSON PLAN
Converting Fractions to Decimals - 2 Decimal Places Age group: Fourth Grade Common Core Standard: 4.NF.C.5 Online resources: Fraction to Decimal – 2 Decimal Places
Opening
Present Fraction to Decimal
Play Fraction to Decimal
Activity
Closing
6
10
12
15
4
min
min
min
min
min
GOALS: Experience multiple representations of numbers Practice finding equivalent fractions Learn to convert fractions to decimals Develop critical thinking skills
Opening | 6 min
Have the students work in pairs. Display the following table:
Copyright © 2015 www.matific.com
/2
LESSON PLAN: Converting Fractions to Decimals - 2 Decimal Places
Number
Factor of 10?
Factor of 100?
Factor of 1000?
2 3 4 5 6 7 8 9
Ask the students to copy the table. They should make check marks when the number in the left column is a factor of 10, 100, or 1000. When the students have filled in their tables, share. o Ask: Which numbers are factors of 10? o o o
o
The numbers two and five are factors of 10. Ask: Which numbers are factors of 100? The numbers two, four, and five are factors of 100. Ask: Which numbers are factors of 1000? The numbers two, four, five, and eight are factors of 1000. Ask: True or False? A number that is a factor of 100 is also a factor of 1000. True. Ask: Why does it make sense that a factor of 100 is also a factor of 1000?
We know that 100 is a factor of 1000. We can fit ten 100’s inside of 1000. So if there is a smaller number that fits inside 100, when we stack the 100’s inside the 1000, this smaller number will stack repeatedly within 1000. So any factor of 100 is a factor of 1000.
Copyright © 2015 www.matific.com
LESSON PLAN: Converting Fractions to Decimals - 2 Decimal Places
/3
Teacher presents Fraction to Decimal - 2 Decimal Places | 10 min
Present Matific’s episode Fraction to Decimal - 2 Decimal Places to the class, using the projector. The goal of the episode is to convert fractions to decimals.
Example:
Say: Read the instruction. o Students should read the instruction at the bottom of the screen. Say: Remember that the place to the right of the decimal point is the tenths place and to the right of that is the hundredths place. How do we write the fraction in the episode as a decimal? Enter the decimal the students suggest by clicking on the . If the answer is correct, the episode will proceed to the next fraction. If the answer is incorrect, the instruction will wiggle. The episode will continue to present fractions. Some may have a denominator of
10 or 100. Others may not. For those that do not, you can click on the buttons , , or in order to generate an equivalent fraction that has a denominator that is a power of 10. Ask the students to tell you which buttons to click on to arrive at a denominator that is a power of 10. Then ask them to convert the fraction to a decimal. The episode will present a total of six fractions to convert to decimals.
Copyright © 2015 www.matific.com
LESSON PLAN: Converting Fractions to Decimals - 2 Decimal Places
/4
Students play Fraction to Decimal - 2 Decimal Places | 12 min
Have the students play Fraction to Decimal - 2 Decimal Places on their personal devices. Circulate, answering questions as necessary.
Activity | 15 min
4
Say: Three students are trying to turn 8 into a decimal. Here are the steps they took: 1. 2. 3.
4 8 4 8 4 8
= = =
1
=
2 20 40 2 4
=
=
5
= 0.5
10 100 200 10 20
=
=
500
1000 50
100
= 0.500
= 0.50 4
Since they all began with 8, what do we know about 0.5, 0.500, and 0.50? o The decimals are all equal. 0.5 = 0.50 = 0.500. The zeros at the end of the decimal representation do not affect its value.
Say: Let’s demonstrate this with some drawings. Distribute the following:
Copyright © 2015 www.matific.com
/5
LESSON PLAN: Converting Fractions to Decimals - 2 Decimal Places
𝟏
A. Write 𝟐 as a decimal. Color the squares to represent the fractions. 1
Fraction
2
Decimal
= =
1
? 10
0._?_
= =
Color the appropriate number of tenths.
Color of the 2
square.
? 100
0._?_
Color the appropriate number of hundredths.
𝟏
B. Write 𝟓 as a decimal. Color the squares to represent the fractions. 1
Fraction
5
Decimal
= =
1
? 10
0._?_
= =
Color the appropriate number of tenths.
Color of the 5
square.
? 100
0._?_
Color the appropriate number of hundredths.
𝟐
C. Write 𝟓 as a decimal. Color the squares to represent the fractions. 2
Fraction
5
Decimal
= =
2
Color of the 5
square.
? 10
0._?_
Color the appropriate number of tenths.
= =
? 100
0._?_
Color the appropriate number of hundredths.
Copyright © 2015 www.matific.com
/6
LESSON PLAN: Converting Fractions to Decimals - 2 Decimal Places
𝟑
D. Write 𝟓 as a decimal. Color the squares to represent the fractions. 3
Fraction
5
Decimal
= =
3
? 10
0._?_
= =
Color the appropriate number of tenths.
Color of the 5
square.
? 100
0._?_
Color the appropriate number of hundredths.
𝟒
E. Write 𝟓 as a decimal. Color the squares to represent the fractions. 4
Fraction
5
Decimal
=
4
Color of the 5
square.
=
? 10
0._?_
Color the appropriate number of tenths.
= =
? 100
0._?_
Color the appropriate number of hundredths.
Review solutions. Discuss any questions the students may have.
Copyright © 2015 www.matific.com
/7
LESSON PLAN: Converting Fractions to Decimals - 2 Decimal Places
Closing | 4 min
Display the following: _____
,
_____
_____
_____
.
_____
_____
_____
Say: State the name of each place value from left to right. o The places are thousands, hundreds, tens, ones, tenths, hundredths, and thousandths. Ask: Which number does not belong? How do you know? 0.5 0.05 0.50 0.500 o 0.05 does not belong. All the other numbers are equal to one half, but 0.05 is five hundredths, also known as one twentieth. Ask: Which number does not belong? How do you know? 0.14 0.410 0.1400 0.140 o 0.410 does not belong. The other three numbers are equal to 14
Ask: 3.5 o
Ask: 0.04 o
hundredths, also known as seven fiftieths. Which number does not belong? How do you know? 0.35 0.350 0.3500 3.5 does not belong. 3.5 is three and a half, which is more than one. All the other numbers are equal to 35 hundredths, which is less than one. Which number does not belong? How do you know? 0.040 0.0400 0.400 0.400 does not belong. All the other numbers are equal to 0.04, also known as four hundredths or one twenty-fifth.
Copyright © 2015 www.matific.com
