Page 104 #11-24 ANSWERS Student Learning Goal Chart Lesson Reflections.

Page 104 #11-24 ANSWERS

Student Learning Goal Chart

Lesson Reflections

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)

• Learn to estimate decimal sums, differences, products, and quotients (3-2)

• Learn to add and subtract decimals (3-3)

• Learn to multiply and divide decimals by powers of ten and to convert metric measurements (3-4)

Today’s Learning Goal Assignment

Learn to multiply and divide decimals by powers of ten and to convert metric measurements.

Course 1

3-4 Decimals and Metric Measurement

6th Grade Math HW

Page 108#12-27 all

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BrainPOP

Metric Measurement

http://www.brainpop.com/science/scientificinquiry/metricunits/

Watch and Complete the Printed Test, turn into your teacher when you are done.




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Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpMultiply.

84

87.2

4.2

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73,200

920

1. 8.4 10

2. 8.72 10

3. 0.42 10

4. 732 100

5. 9.2 100

Problem of the Day

A nurse must administer a 4 mL dose of a drug daily to a patient. If there is one liter of this drug on hand, will it last the patient 150 days? If so, how much will remain? If not, how much more will be needed?

0.4L will remain.

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Today’s Learning Goal Assignment

Learn to multiply and divide decimals by powers of ten and to convert metric measurements.

Course 1


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Additional Example 1A: Multiplying and Dividing by Powers of Ten

Multiply.

A. 7,126 1,000

7,126.000

= 7,126,000

There are 3 zeros in 1,000. To multiply, move the decimal point 3 places right.

Write 3 placeholder zeros.

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Additional Example 1B & 1C: Multiplying and Dividing by Powers of Ten

Divide.

B. 7,126 ÷ 1,000

C. 46.34 ÷ 104

7,126.

= 7.126

There are 3 zeros in 1,000. To divide, move the decimal point 3 places left.

0046.34

= 0.004634

The power of 10 is 4. Move the decimal point 4 places left. Write placeholder zeros.

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Try This: Example 1A

Multiply.

A. 4,639 1,000

4,639.000

= 4,639,000

There are 3 zeros in 1,000. To multiply, move the decimal point 3 places right.

Write 3 placeholder zeros.

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Try This: Example 1B & 1C

Divide.

B. 4,639 ÷ 1,000

C. 32.08 ÷ 104

4,639.

= 4.639

There are 3 zeros in 1,000. To divide, move the decimal point 3 places left.

0032.08

= 0.003208

The power of 10 is 4. Move the decimal point 4 places left. Write placeholder zeros.

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Unit AbbreviationApproximate Comparison

Length

Kilometer kmLength of 10 football fields

Meter m Width of a door

Centimeter

cmWidth of your little finger

Millimeter mmThickness of a dime

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MassKilogram kg

Mass of a textbook

Gram gMass of a small paperclip

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CapacityLiter L

Filled bottle of sparkling water

Milliliter mLHalf-filled eyedropper

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Additional Example 2A & 2B: Choosing Appropriate Units

Use the abbreviation for the most appropriate metric unit.

A. A soda can is about 12 ____ tall.

B. The mass of a pen is about 5 ____.

A soda can is about 12 cm tall.

Think: A soda can is about the height of 12 little-finger widths.

?

The mass of a pen is about 5 g.

Think: A pen has a mass of about 5 small paper clips.

?

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Additional Example 2C: Choosing Appropriate Units


C. A sip of water is about 3 ____.?

A sip of water is about 3 mL.

Think: A sip of water is about 3 half-filled eyedroppers.

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Try This: Example 2A & 2B


A. A one-car garage door is about 4 ____ wide.

B. The mass of an eraser is about 7 ____.

A garage door is about 4 m wide.

Think: A garage door is about the width of 4 door widths.

?

The mass of an eraser is about 7 g.

Think: An eraser has a mass of about 7 small paper clips.

?

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Try This: Example 2C


C. A telephone directory weighs about 3 ____.?

A telephone directory weighs about 3 kg .

Think: A telephone directory is about 3 textbooks.

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1,000 100 10 1 0.1 0.01 0.001

Thousands Hundreds Tens Ones Tenths Hundredths Thousandths

Kilo- Hecto- Deca-Base unit

Deci- Centi- Milli-

In the metric system, each unit of measure is ten times greater than the unit to its right in a place-value chart.

To convert units within the metric system, multiply or divide by powers of ten.

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Additional Example 3A: Converting Within the Metric System

Convert each measure.

A. The height of a door is about 2 m. 2 m = ___ km

2 m = (2 ÷ 1000)km 1 km = 1,000 m, so divide by 1,000.

?

2 m = 0.002 km Move the decimal point 3 places left.

To convert to smaller units, multiply.

To convert to larger units, divide.

Helpful Hint

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Additional Example 3B: Converting Within the Metric System

Convert the measure.

B. The width of a door is about 0.85 m. 0.85 m = ___ cm?

0.85 m = (0.85 100)cm1 m = 100 cm, so multiply by 100.

0.85 m = 85 cm Move the decimal point 2 places right.

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Try This: Example 3A


A. The height of a building is about 30 m. 30 m = ___ km

30 m = (30 ÷ 1000)km 1 km = 1,000 m, so divide by 1,000.

?

30 m = 0.03 km Move the decimal point 3 places left.

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Try This: Example 3B

Convert the measure.

B. The width of a chair is about 0.98 m. 0.98 m = ___ cm?

0.98 m = (0.98 100)cm1 m = 100 cm, so multiply by 100.

0.98 m = 98 cm Move the decimal point 2 places right.

Lesson Quiz: Part 1

7.157311,604

Insert Lesson Title Here

m

cm

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Multiply or divide.

1. 16.04 102 2. 715.731 ÷ 100

Use the abbreviation for the most appropriate

metric unit.

3. The length of a soccer field is about 100 ___.

4. The width of a computer screen is about 23 ___.

?

?

Lesson Quiz: Part 2


5. The width of film for slides is 35 mm. 35

mm = ____ m.

6. The weight of an adult is about 70 kg. 70

kg = ____ g.

0.035

Insert Lesson Title Here

70,000

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?

?

Page 104 #11-24 ANSWERS Student Learning Goal Chart Lesson Reflections.

Documents

appropriate metric unit

metric measurements

metric system

eyedropperadditional

order decimals

appropriate unitsuse

unit of measure

powers of tenmultiply