Problem of the Day1) Set up the proportion needed to find the height of the tree in the

picture below.

2) Set up the proportion needed to find the height of the tree in the picture below.

1-3: Measuring in Metric Units

Change metric units of Length, Capacity, and Mass; Estimate

metric measurements

Vocabulary

Metric Measurement System

International system of weight and measurement, that utilizes the decimal system.

Length• Millimeter (mm): Thickness of a dime.• Centimeter (cm): about the width of your little finger.• Meter (m): about the distance from a doorknob to the floor.• Kilometer: about the length of 11 football fields; 2 ½ laps around football field track.

Capacity• Milliliter (mL): a spoon holds about 5 mL.• Liter (L): a little more than a quart.

Mass• Milligram (mg): About the mass of a mosquito.• Gram (g): About the mass of a paper clip.• Kilogram: About the mass of a pair of shoes, baseball bat.

Estimating metric measures…1) Length of a pencil.

2) Height of the classroom ceiling.

3) Mass of a textbook

4) Length of the Smartboard

5) Mass of a student desk

6) Thickness of a piece of paper

7) Thickness of a textbook

8) Capacity of a typical water bottle

9) Length of the classroom

10) Length of your desktop

1) About 19 cm

2) A little more than 3 m

3) About 1 kg

4) 1 ½ meters

5) About 5 kg

6) 1/3 of a mm

7) 3 ½ cm

8) ½ a liter

9) 7 meters

10) About 30 cm

Vocabulary

Kilo 1000

Hecto 100

Deka 10

Base Unit 1 Meters, Liters, Grams

Deci.10

Centi .01

Milli .001

Keep in mind... Cross cancellation simplifying when multiplying fractions.

5 x 18 =

6 25

Canceling also holds true for units…

871 cm x 1 m =

1 100 cm

To convert units within the metric measurement system…

I. THINK: Are you going to a “larger” unit or a “smaller” unit. Will you have more or less of the new unit???

II. Determine the base unit conversions

III. Set-up the conversion factor that will cancel the original unit, while introducing the new unit.

IV. Multiply factors, canceling units where necessary

Problems/Examples ofA) ___ L = 90 mL

1 L = 1000 mL

90 mL x 1 L

1 1000 mL

Problems/Examples ofB) 0.6 mL = ___ L

1 L = 1000 mL

0.6 mL = 1 L

1 1000 mL

Problems/Examples ofC) ___ mg = 2.7 kg

1 kg = 1000 g

2.7 kg x 1000 g 1 1 kg

1 g = 1000 mg

2700 g x 1000 mg 1 1 g

Problems/Examples of

D) _____ km = 620,000 m

1 km = 1000 m

620,000 m x 1 km

1 1000 m

Examples

Kilo Hecto Deka Base Deci Centi Milli

1000 100 10 Unit .10 .01 .001

A) 28 cm = ____ mm

280

B) 438 cm = ____ m

4.38

C) 72 g = ______ mg

72,000

Examples

Kilo Hecto Deka Base Deci Centi Milli

1000 100 10 Unit .10 .01 .001

D) 202 g = _____ kg

0.202

E) 2 L = ______ mL

2,000

F) 2.4 kL = _____ L

2,400