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Page 1: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Microscope MathMicroscope MathMicroscope MathMicroscope Math

Biology 11Biology 11

Page 2: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Don’t forget to always use units with numbers!

‘times larger’ or ‘x’mm µm

Page 3: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Total MagnificationReview

Formula:Total Magnification =

(eyepiece)(objective)

Low: (10)(4) = 40xMedium (10)(10) = 100xHigh (10)(40) = 400x

Page 4: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Field of View

• Diameter (widest distance across) of the circle of light when looking through the microscope

• Expressed in µm (micrometers)

Page 5: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Micrometers (µm)

• 1 µm = 0.001 mm• 1 mm = 1000 µm

• To convert: Move decimal 3 places!

• Example: 7752 µm= 7.752mm

Page 6: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Measuring the Field Diameter (Low

Power)

1. Place ruler across center of field of view

2. Line up the middle of a mm mark against one side of field of view

3. Count the number of full mm spaces.- Estimate amount of next

mm if not complete

4. Record results on board

Page 7: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Field DiameterWe will use the following field diameter sizes.

Record the µm measurements on your sheet.

Total Magnificati

on

Measurement (mm)

Field Diameter

(µm)

Low (40x) 4.2 4200

Medium (100x)

1.68 1680

High (400x) 0.42 420

Page 8: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Estimating Specimen Size

• If you know how wide your field of view is you can estimate the size of specimens being viewed

• Expressed in µm (micrometers)

Page 9: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Estimating Specimen Size

Formula:

Estimated length = Field Diameter (µm)

Fit number

Page 10: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

What is a “fit number”?

• NUMBER of times an object FITS across the field of view

• No units are used!

Page 11: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Example

• How many times can this ball fit across the field of view?

Fit number is 3

Page 12: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

If we viewed the ball with low power …

Formula:Estimated length = Field of View

(µm)Fit number

= 4200 µm 3

= 1400 µm

Because it was viewed

on low power

Page 13: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Any Questions?

• Let’s practice!

Page 14: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Diagram Magnification

• How many times larger your diagram (or scientific drawing) is than the actual specimen

• Expressed as “times larger” or “X”

Page 15: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Diagram Magnification

Formula:Diagram magnification =

Diagram size (µm) Estimated Size

Page 16: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

What is the “diagram size”?

• How large your diagram (or scientific drawing)

• Expressed in µm

• How to find?– Measure your diagram in mm– Multiply by 1000

Page 17: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Example

1. Diagram the “specimen” below.

2. Determine the fit number.

3. Calculate the estimated size.

Page 18: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Example (cont.)

4. Determine the diagram size in micrometers.

5. Calculate the diagram magnification.

Page 19: Microscope Math Biology 11. Don’t forget to always use units with numbers! ‘times larger’ or ‘x’ mm µm

Any Questions?

• Let’s practice!


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