Student Learning Goal Chart

Handout

Math Learning Goal

Students will understand decimals.

Students will understand decimals by being able to do the following:

• Learn to write, compare, and order decimals using place value and number lines (3-1)

Today’s Learning Goal Assignment

Learn to write, compare, and order decimals using place value and number lines.

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Lesson Quiz: Part 1Write each in standard form, expanded form and words.

1. 8.0342

2. 18 + 0.3 + 0.006

3. eight and twelve hundredths18.306; eighteen and three hundred six thousandths

8 + 0.03 + 0.004 + 0.0002; eight and three hundred forty-two ten thousandths

Insert Lesson Title Here

8.12; 8 + 0.1 + 0.02

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Lesson Quiz: Part 2

4. It takes Pluto 246.7 years to orbit the Sun, and it takes Neptune 164.8 years. Which planet takes longer to orbit the Sun?

5. Order the decimals from least to greatest: 16.35, 16.3, 16.5.

Insert Lesson Title Here

Pluto

16.3, 16.35, 16.5

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Are you ready for the FAST Track?

If YES, prepare for Ch. 3 Section 2!

If NO, continue with the Ch. 3 Section 1 lesson!

6th Grade Math HW

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Course 1

3-1 Representing, Comparing, and Ordering Decimals

3-1 Representing, Comparing, and Ordering Decimals

Course 1

Warm UpWarm Up

Lesson PresentationLesson PresentationProblem of the DayProblem of the Day

Warm UpOrder the numbers from least to greatest.

1. 242, 156, 224, 165

2. 941, 148, 914, 814, 721

3. 345, 376, 354, 397

156, 165, 224, 242

148, 721, 814, 914, 941

345, 354, 376, 397

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Problem of the DayLupe is taller than Reba and shorter than Miguel. Tory is shorter than Lupe but taller than Reba. List the four brothers and sisters in order from tallest to shortest.

Miguel, Lupe, Tory, Reba

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Today’s Learning Goal Assignment

Learn to write, compare, and order decimals using place value and number lines.

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Today’s Learning Goal Assignment

Learn to write, compare, and order decimals using place value and number lines.

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Additional Example 1A & B: Reading and Writing Decimals

Write each decimal in standard form, expanded form, and words.A. 1.07

B. 0.03 + 0.006 + 0.0009

1 + 0.07Expanded form:one and seven hundredthsWord form:

0.0369Standard form:three hundred sixty-nine ten-thousandthsWord form:

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Additional Example C: Reading and Writing DecimalsWrite the decimal in standard form and expanded form.C. fourteen and eight hundredths

14.08Standard form:

10 + 4 + 0.08Expanded form:

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Try This: Example 1A & 1BWrite each decimal in standard form, expanded form, and words.A. 1.12

B. 0.6 + 0.008 + 0.0007

1 + 0.12Expanded form:one and twelve hundredthsWord form:

0.6087Standard form:six thousand eighty-seven ten-thousandths

Word form:

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Try This: Example 1CWrite each decimal in standard form and expanded form.C. eleven and two hundredths

11.02Standard form:

10 + 1 + 0.02Expanded form:

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Additional Example 2: Earth Science ApplicationThe star Wolf 359 has an apparent magnitude of 13.5. Suppose another star has an apparent magnitude of 13.05. Which star has the smaller magnitude?

13.50 Line up the decimal points.

Start from the left and compare the digits.13.05 Look for the first place where the digits are

different.0 is less than 5.13.05 < 13.50The star that has an apparent magnitude of 13.05 has the smaller magnitude.

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Try This: Example 2Tina reported on a star for her science project that has a magnitude of 11.3. Maven reported on another star that has a magnitude of 11.03. Which star has the smaller magnitude?

11.30 Line up the decimal points.

Start from the left and compare the digits.11.03 Look for the first place where the digits are

different.0 is less than 3.11.03 < 11.30The star that has a magnitude of 11.03 has the smaller magnitude.

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Additional Example 3: Comparing and Ordering Decimals

Order the decimals from least to greatest.16.67, 16.6, 16.07

16.6716.60

Compare two of the numbers at a time.

Write 16.6 as “16.60.”16.60 < 16.6716.6716.07

Start at the left and compare the digits.16.07 < 16.67

Course 1

3-1 Representing, Comparing, and Ordering Decimals

16.6016.07

Look for the first place where the digits are different.16.07 < 16.60

Additional Example 3 Continued

Graph the numbers on a number line.

16.6716.07 16.6

Course 1

3-1 Representing, Comparing, and Ordering Decimals

16 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9 17

The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 16.07, 16.6, and 16.67.

Try This: Example 3Order the decimals from least to greatest.

12.42, 12.4, 12.02

12.4212.40

Compare two of the numbers at a time.

Write 12.4 as “12.40.”12.40 < 12.42

12.4212.02

Start at the left and compare the digits.12.02 < 12.42

Course 1

3-1 Representing, Comparing, and Ordering Decimals

12.4012.02

Look for the first place where the digits are different.12.02 < 12.40

Try This: Example 3 Continued

Graph the numbers on a number line.

Course 1

3-1 Representing, Comparing, and Ordering Decimals

12.4212.02 12.4

12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13

The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 12.02, 12.4, and 12.42.

Lesson Quiz: Part 1Write each in standard form, expanded form and words.

1. 8.0342

2. 18 + 0.3 + 0.006

3. eight and twelve hundredths18.306; eighteen and three hundred six thousandths

8 + 0.03 + 0.004 + 0.0002; eight and three hundred forty-two ten thousandths

Insert Lesson Title Here

8.12; 8 + 0.1 + 0.02

Course 1

3-1 Representing, Comparing, and Ordering Decimals

Lesson Quiz: Part 2

4. It takes Pluto 246.7 years to orbit the Sun, and it takes Neptune 164.8 years. Which planet takes longer to orbit the Sun?

5. Order the decimals from least to greatest: 16.35, 16.3, 16.5.

Insert Lesson Title Here

Pluto

16.3, 16.35, 16.5

Course 1

3-1 Representing, Comparing, and Ordering Decimals