4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Understand the concept and consequences of exponential

growth in a population.

Learning scale:

Student’s self-evaluation: Complete at home or at the end of class, use the

4-3-2-1-0 system of understanding

Student’s self-evaluation: Complete at home or at the end of class, use the

4-3-2-1 Learning scale (two to three sentences).

Homework: none.

1 2 3 4

Define exponentialgrowth.

Define and indentify

exponential growth in a samplepopulation.

Understand trends in human

population growth and make logical

predictions.

Use multiple data sets from the past and present to explain likely scenarios of uncheck human

population growth.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Make accurate and precise measurements

using proper significant figures when collecting and

organizing data.

4Evaluate based on

A&P

3Distinguish

A&P in data

2Importance

of A&P

1Define A&P

Dimensional Analysis and problem solving

Dimensional Analysis is often used in problem solving. This is something you do every day!

I get paid $10 per hour for baby sitting, how much will I get paid for 3 hours?

Or, I get paid $10 per hour for baby sitting, I made $50, how many hours did I baby sit?

Yes, you can figure these out in your head, but they are dimensional analysis problems..

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Make accurate and precise measurements

using proper significant figures when collecting and

organizing data.

4Evaluate based on

A&P

3Distinguish

A&P in data

2Importance

of A&P

1Define A&P

Oranges are 5 for a $2.50, how many oranges can you buy for $7.50?

Step 1: Find the conversion factor, circle it. Find what you are “given” label it “G”. Find what you “want” label it “W”.

Dimensional Analysis and problem solving

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Make accurate and precise measurements

using proper significant figures when collecting and

organizing data.

4Evaluate based on

A&P

3Distinguish

A&P in data

2Importance

of A&P

1Define A&P

x

Step 2: Write the “given” on the left as fraction over 1 with a “X”. Write the “want” on the right with an “=“.

Dimensional Analysis and problem solvingOranges are 5 for a $2.50, how many oranges can

you buy for $7.50?

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Make accurate and precise measurements

using proper significant figures when collecting and

organizing data.

4Evaluate based on

A&P

3Distinguish

A&P in data

2Importance

of A&P

1Define A&P

x

Step 3: find the conversion factor. Write next to the “X”. Put the unit of the given at the bottom and cancel.

Dimensional Analysis and problem solvingOranges are 5 for a $2.50, how many oranges can

you buy for $7.50?

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Make accurate and precise measurements

using proper significant figures when collecting and

organizing data.

4Evaluate based on

A&P

3Distinguish

A&P in data

2Importance

of A&P

1Define A&P

x

Step 4: Make sure the unit in the conversion factor is the same as the unit you want. If not, convert.

Dimensional Analysis and problem solving

Yup! They are

the same!

Oranges are 5 for a $2.50, how many oranges can you buy for $7.50?

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Make accurate and precise measurements

using proper significant figures when collecting and

organizing data.

4Evaluate based on

A&P

3Distinguish

A&P in data

2Importance

of A&P

1Define A&P

x

Step 5: Do the math!

Dimensional Analysis and problem solving

7.5 x 5 ÷ 2.5 = 15 oranges!!

Oranges are 5 for a $2.50, how many oranges can you buy for $7.50?

15

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Learning goal: Make accurate and precise measurements

using proper significant figures when collecting and

organizing data.

4Evaluate based on

A&P

3Distinguish

A&P in data

2Importance

of A&P

1Define A&P

Step 6: Does the answer make sense?

Dimensional Analysis and problem solving

Hummmm, 5 for $2.50, we have $7.50

would be a lot more oranges.. So, 15

makes sense!

Oranges are 5 for a $2.50, how many oranges can you buy for $7.50?

15

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Early Microscopes -Anton Van Leeuwenhoek • The father of microscopy, Anton Van Leeuwenhoek of

Holland (1632-1723).

• Anton Van Leeuwenhoek was the first to see and describe bacteria (1674), yeast plants, the teeming life in a drop of water, and the circulation of blood corpuscles in capillaries.

• Microscope had a power of 20x or 30x.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Robert Hooke

• In 1665, the English physicist Robert Hooke looked at a sliver of cork through a microscope lens and noticed some "pores" or "cells" in it.

• Hooke was the first person to use the word "cell" to identify microscopic structures when he was describing cork.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Compound Light Microscopes

• Uses light

• Has two lenses

• Magnification limited to 2000x

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Transmission Electron Microscope (TEM)

• Uses beams of electrons

• Magnification of

• 500,000 x• Has two limitations:

• Good only for thin specimens

• Only dead cells can be observed

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Technological Advances in Microscopes

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Scanning Electron Microscope

• Electrons are reflected from the surface of the specimen

• Produces a 3-d image

•100,000X• Good for the thicker

specimens

• Lacks the magnification and resolution of the transmission electron microscope

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Parts of the Microscope

Arm: This part on the side of the microscope is used to support it when it is carried.

Base: The bottom part of the microscope.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Parts of the Microscope

Light Source: Projects light upwards through the diaphragm to allow you to see the specimen.

Diaphragm: This part of the microscope helps you adjust the amount of light that reaches the specimen

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Parts of the Microscope

Stage: Part of the microscope that supports the slide that is being viewed

Stage Clips: These are used to hold a slidein place on the stage

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Parts of the Microscope

Revolving Nosepiece: This part holds the objective lenses and is able to rotate to change magnification.

OBJECTIVE 4X: scanning objective lens with a total magnification of 40X

OBJECTIVE 10X: Low power objective lens with a total magnification of 100X

OBJECTIVE 40X objective lens with a total magnification of 400X

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Parts of the Microscope

Ocular Lens: The 10X lens you look through on a compound microscope

Body tube: long tube that holds the ocular lens

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Parts of the Microscope

COARSE ADJUSTMENT KNOB -This part moves the stage up and down to help you get the specimen into view.

FINE ADJUSTMENT KNOB - This part moves the stage slightly to help you sharpen or “fine” tune your view of the specimen.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

or

1. Exponential Growth: growth

whose rate becomes ever more

rapid in proportion to the

growing total number or size.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Review: Penny problem

0

1375000

2750000

4125000

5500000

6875000

8250000

9625000

11000000

0 5 10 15 20 25 30

Exponential growth in pay

Day's pay Total Pay

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

EASTER ISLAND: A model of population collapse.Collapse: 20,000 to 100 in just a couple yearsRapa Nui (Easter Island)must have seemed like paradise to the first natives of perhaps 100 people.

What can we learn from their mistakes??

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

1. Exponential Population

Growth model: Unlimited

growth of a population

with no “limiting factors”

Graphed as a “J- shaped

curve”

How Do Populations Grow?

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

How Do Populations Grow?1. Exponential Growth cannot last

forever: No population can continue

growing forever. Environmental

factors restrict population growth

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

How Do Populations Grow?2. Logistic Population Growth Model: Environmental factors

called “limiting factors” restrict population growth.

The growth rate decreases as the population reaches

“carrying capacity”

Graphed as a “S-shaped curve”

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Other factors that affect population growth

Limiting factor- Any biotic or abiotic factor that restricts the existence of organisms in a specific environment.• EX.- Amount of water (abiotic)

Amount of food (biotic)

Temperature (abiotic)

Disease (biotic)

Competition (biotic)

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Carrying Capacity- the

maximum population size

that can be supported by the

available resources

There can only be as many

organisms as the environmental

resources can support

All of these factors result in a carrying capacity

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Is it exponential or logistical?

EXPONENTIAL!! What?? I

thought that wasn’t possible?

Lets look back at the human populationWhat happens when we go past the carrying

capacity of the Earth?

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Lets look back at the human populationBecause of technology, We

have exceeded the carrying

capacity of the Earth!

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Ecological Footprint is Measured in “Hectares”

So if you

Ecological

footprint is 1,

you need one

Hectare of

Earth to meet your demands

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

“Our demands

on the Earth

(supply

resources and absorb waste)”

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

“The ability of

the Earth to

meet our demands”

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Ecological reserveOr “Creditor”

An Ecological reserve exists

when the biocapacity of a

region exceeds its population's Footprint.

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

An ecological deficit occurs

when the footprint of a

population exceeds the

biocapacity of the area available to that population.

Ecological deficientOr “Debtor”

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

The world-average ecological footprint in 2016 was 2.7 global hectares per person with a world-average biocapacity of 1.8 global hectares per person this leads to an ecological deficit of 0.9 global hectares per person

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

This means we would need 1.5 planets to meet the needs of the human race.

What was your Ecological footprint??

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Another was to view it is called the overshoot day.

This is the day of the year when we have exhausted one of “Earth’s recourses”

This date gets earlier and earlier every year

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

What is the pattern for countries that have a deficit or a reserve?

In general, high income countries have a greater

Ecological foot print

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Other factors that affect population growthWhat is the pattern for countries that have a deficit or a reserve?

Some high income countries with a high footprint are still ecological

creditors because of their size and ecology

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Other high income countries are still debtors because of the large footprint and lack of resources

4Human pop

growth scenarios

3Trends and prediction in human

pop

2Define and

id exponential

growth

1Define

Exponential growth

Learning goal: Understand the concept and consequences

of exponential growth in a population.

Patterns of Ecological footprints

What do you notice?