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077_G6U5_G6U8_TG 2014.4.17 6:8 PM ˘ ` 069
Activity 2 Comparing Fractions and Decimals
jOb ective Compare fractions and decimals.
Activity 2 Comparing Fractions and Decimals 1. Textbook Instructions
Have students compare fractions and decimals by using models or converting both numbers to Have students learn how to compare
fractions or decimals. fractions and decimals.
Compare fractions and decimals in various ways. Method 1: Use a Model
Have students use models and color the
Method 1 Use models. parts to represent fractions and decimals.
They can directly compare fractions and
Compare 3 and 0.5 decimals.
5
Method 2: Convert to Fractions
0 _51 _52 _35 _45 1 After changing decimals into fractions,
have students make fractions with a common
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 denominator, and then compare the values of
two fractions.
Color the bars to show 3 and 0.5.
5 Method 3: Convert to Decimals
3 Have them change fractions into decimals
Compare the colored parts. 5 ˘ 0.5 using the method they have learned in activity
1, and then compare the decimals.
Method 2 Convert to fractions. Method 3 Convert to decimals.
1. Have students choose one of the three
Compare 0.9 and 4 . Compare 1 and 0.3. methods to solve the problems. Let them
5 2 know that method 2 is a better way of making
fractions and method 3 is a better way of
Write 0.9 as 9 . Write 1 as 0.5. making decimals.
10 2
Compare 0.9 and 4 . Compare 1 and 0.3.
5 2
9 ˘ 8 0.9 ˘ 4 0.5 ˘ 0.3 1 ˘ 0.3
10 10 5 2
1 Have students convert and write the fractions or decimals on the side to help them compare.
. Compare. Write ˘ or ¯ in the .
a. 1 ¯ 0.6 b. 0.1 ¯ 1 c. 4 ˘ 0.45
2 7 5
d. 0.3 ¯ 2 e. 0.25 ˘ 1 f. 7 ¯ 0.71
5 8 10
g. 21 ˘ 0.21 h. 1 3 ˘ 1.7 i. 1.49 ˘ 1 12
50 4 25
5. Collision of Two Different Worlds 43
2. Build Understanding
How to Use Models to Solve Problems 1d.
1a. 1b.
0 _12 0 _17 _72 _37 _47 _75 _76 10 _51 _52 _35 _54 1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
1 1 0.3 ¯ 2
2 ¯ 0.6 0.1 ¯ 7 5
6A Unit 05 069
Activity 2 Comparing Fractions and Decimals
jOb ective Compare fractions and decimals.
Activity 2 Comparing Fractions and Decimals 1. Textbook Instructions
Have students compare fractions and decimals by using models or converting both numbers to Have students learn how to compare
fractions or decimals. fractions and decimals.
Compare fractions and decimals in various ways. Method 1: Use a Model
Have students use models and color the
Method 1 Use models. parts to represent fractions and decimals.
They can directly compare fractions and
Compare 3 and 0.5 decimals.
5
Method 2: Convert to Fractions
0 _51 _52 _35 _45 1 After changing decimals into fractions,
have students make fractions with a common
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 denominator, and then compare the values of
two fractions.
Color the bars to show 3 and 0.5.
5 Method 3: Convert to Decimals
3 Have them change fractions into decimals
Compare the colored parts. 5 ˘ 0.5 using the method they have learned in activity
1, and then compare the decimals.
Method 2 Convert to fractions. Method 3 Convert to decimals.
1. Have students choose one of the three
Compare 0.9 and 4 . Compare 1 and 0.3. methods to solve the problems. Let them
5 2 know that method 2 is a better way of making
fractions and method 3 is a better way of
Write 0.9 as 9 . Write 1 as 0.5. making decimals.
10 2
Compare 0.9 and 4 . Compare 1 and 0.3.
5 2
9 ˘ 8 0.9 ˘ 4 0.5 ˘ 0.3 1 ˘ 0.3
10 10 5 2
1 Have students convert and write the fractions or decimals on the side to help them compare.
. Compare. Write ˘ or ¯ in the .
a. 1 ¯ 0.6 b. 0.1 ¯ 1 c. 4 ˘ 0.45
2 7 5
d. 0.3 ¯ 2 e. 0.25 ˘ 1 f. 7 ¯ 0.71
5 8 10
g. 21 ˘ 0.21 h. 1 3 ˘ 1.7 i. 1.49 ˘ 1 12
50 4 25
5. Collision of Two Different Worlds 43
2. Build Understanding
How to Use Models to Solve Problems 1d.
1a. 1b.
0 _12 0 _17 _72 _37 _47 _75 _76 10 _51 _52 _35 _54 1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
1 1 0.3 ¯ 2
2 ¯ 0.6 0.1 ¯ 7 5
6A Unit 05 069
