# data[].attributes.body
A study on the need to ensure that AI energy consumption be made to use Green Energy and not be fuel by dirty carbon. "This report analyzed projected U.S. data center energy demand and finds that carbon emissions from the industry’s massive growth, set to be powered primarily by fracked gas and coal, could triple by 2035, accounting for 44% of the power sector emissions allowable to meet the U.S. climate target."

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Explained | World's Water Crisis | FULL EPISODE | Netflix

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If you are looking to find an economics perspective with something in alignment with the actual limits of our planet and a more comprehensive system analysis of the premises of the standard model, then look no further. Take a dive in!

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Kate Raworth | Exploring Doughnut Economics

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Kate Raworth is a renegade economist, creator of the Doughnut of social and planetary boundaries, and co-founder of Doughnut Economics Action Lab.

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A sine wave produced naturally by a bouncing spring:
Plot of Sine

The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°).

It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

Plot of Cosine

Cosine is just like Sine, but it starts at 1 and heads down until π radians (180°) and then heads up again.

Plot of Sine and Cosine

In fact Sine and Cosine are like good friends: they follow each other, exactly π/2 radians (90°) apart.

Plot of the Tangent Function

The Tangent function has a completely different shape ... it goes between negative and positive Infinity, crossing through 0, and at every π radians (180°), as shown on this plot.

At π/2 radians (90°), and at −π/2 (−90°), 3π/2 (270°), etc, the function is officially undefined, because it could be positive Infinity or negative Infinity.

Inverse Sine, Cosine and Tangent

The Inverse Sine, Cosine and Tangent graphs are:

Inverse Sine

Inverse Cosine

Inverse Tangent

Mirror Images

Here is Cosine and Inverse Cosine plotted on the same graph:

Cosine and Inverse Cosine

They are mirror images (about the diagonal)!

The same is true for Sine and Inverse Sine and for Tangent and Inverse Tangent. Can you see this in the graphs above?

# data[].attributes.attachment_link.description
A sine wave produced naturally by a bouncing spring: The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

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Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructions . Once you've done that, refresh this page to start using Wolfram|Alpha.

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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music...

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Climate activist Elizabeth Wathuti's full speech at COP26

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Kate Raworth & Steve Keen | 20 March 2022 | Just Stop Oil

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Intergovernmental Panel on Climate Change (IPCC)

# data[].attributes.attachment_link.title
IPCC Press Conference for CLIMATE CHANGE 2022: Mitigation of Climate Change

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Environnental Education and Youth empowerment

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EEYE presents environmental education project.

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Earth Day 2022. Join a livestream event with Nature United and our global affiliate. Sign up now.

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Earth Day 2022. Join a livestream event with Nature United and our global affiliate. Sign up now.
— Nature United (@natureunited_ca) April 6, 2022

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Earth Day 2022. Join a livestream event with Nature United and our global affiliate. Sign up now.

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Earth Day 2022. Join a livestream event with Nature United and our global affiliate. Sign up now.

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Earth Day 2022. Join a livestream event with Nature United and our global affiliate. Sign up now.

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Skip to main content

Official websites use .gov
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Secure .gov websites use HTTPS
A lock () or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

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All of Earth's water in a single sphere!

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Skip to main content Official websites use .gov A.gov website belongs to an official government organization in the United States. Secure .gov websites use HTTPS A lock () or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

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A Conversation with Climate Leaders: Where do we go next?

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Join us for a conversation with climate leaders Anjali Appadurai, Campaigns Director at Climate Emergency Unit, Avi Lewis, Associate Professor at UBC, and local organizers, Juan Vargas from Climate Justice Edmonton, to take stock of the latest IPCC report and the political moment we are in. Then, we…

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Intergovernmental Panel on Climate Change (IPCC)

# data[].attributes.attachment_link.title
IPCC Press Conference - Climate Change 2022: Impacts, Adaptation & Vulnerability

# data[].attributes.attachment_link.title
I Tried Creating a Game Using Real-world Geographic Data

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The real impact of global warming is now being felt in communities around the world. Climate scientists explain what to expect where you live, and what steps might still be taken to reverse the climate crisis.

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A ballistic missile test by India recently shot down one of its own communications satellites. With over 900,000 pieces of debris currently orbiting planet Earth, space trash has become a very real threat to ongoing missions.

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Nature's Mathematics | Nature's Mathematics: Episode 1

# data[].attributes.attachment_link.description
Wherever we find patterns and symmetry in nature, we also find that nature conforms to certain rules. Rules that combine elegance with efficiency. Rules that shape trees and river estuaries alike, and that continue to baffle scientists by their often unfathomable ubiquity.

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Seeing Systems: Peace, Justice, and Sustainability

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Seeing Systems: Peace, Justice, and Sustainability: How does one mold such complex principles as peace, justice and sustainability into a coherent story? The difficulty reflects the media's broader struggle to convey how these themes are mutually linked. Seeing Systems: Peace, Justice, and Sustainability connects the d

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How I Tricked My Brain To Like Doing Hard Things (dopamine detox)

# data[].attributes.attachment_link.title
How I Take Notes with My iPad Pro in Lectures (Notability & GoodNotes) + Free Template

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IXL covers everything students need to know for grade 11. Fun, visual skills bring learning to life and adapt to each student's level.

# data[].attributes.headline
Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

# data[].attributes.subject
Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

# data[].attributes.headline
Fuel Subsidies from the start of COP26 has reached this number of dollars.

# data[].attributes.subject
Fuel Subsidies from the start of COP26 has reached this number of dollars.

# data[].attributes.headline
The unit circle arcs in degrees and radians

# data[].attributes.subject
The unit circle arcs in degrees and radians

# data[].attributes.headline
Quiz 1 on Chapter 9 and 10 material now due Nov. 9 by 10 am.

# data[].attributes.subject
Quiz 1 on Chapter 9 and 10 material now due Nov. 9 by 10 am.

# data[].attributes.headline
Please consider registering and watching some of these amazing shorts and full-length productions about how to create a sustainability mindset. 

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Please consider registering and watching some of these amazing shorts and full-length productions about how to create a sustainability mindset. 

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Register for free to attend the Climate Crisis Film Festival. November 1 - 14, online internationally, on-demand.

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Welcome to CK-12 Foundation | CK-12 Foundation

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Who can challenge this 6 yr old Super Brain with an IQ of 180?  Watch a REAL Child Prodigy.

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The most beautiful equation in the world.

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The most beautiful equation in the world.

# data[].attributes.body
always be kind and respectfully to everyone especially the teacher and pay attention to anything Skye says.

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I recently watched the documentation the "13th", it shows the history of racial inequality  specifically of African-Americans. In the show, it would show an increasing amount of imprisonment each year. The number increases each year, and it is interesting to see all the correlations that led to these absurd numbers.

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Please recycle your masks guys!

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TORONTO -- More than 1.56 billion face masks used in 2020 will make their way into our planet's oceans, joining literal tonnes of other plastic pollution, according to an estimate by OceansAsia.

The Hong-Kong based marine conservation organization released a report on Monday that details one of the devastating side-effects of the COVID-19 pandemic: the increase in plastic use and disposal.

They hypothesized that the face masks would add up to around 4,860 to 6,240 tons of extra plastic waste in the oceans.

"The 1.56 billion face masks that will likely enter our oceans in 2020 are just the tip of the iceberg," Dr. Teale Phelps Bondaroff, Director of Research for OceansAsia, and lead author of the report said in a press release. "[It's] just a small fraction of the estimated 8 to 12 million metric tonnes of plastic that enter our oceans each year."

The researchers acknowledge that it's difficult to pinpoint the exact number of masks that have been manufactured worldwide, and also to figure out what percentage would have been inappropriately disposed of.

Previous research has suggested that three per cent of plastic waste finds its way into our oceans. Using a global production estimate of 52 billion masks manufactured in 2020 -- a number that comes from a June report forecasting production numbers -- and a conservative three-per-cent loss rate, OceansAsia arrived at the 1.56 billion estimate for how many masks will end up in the Earth's oceans.

The research started when OceansAsia visited an isolated beach in the Soko Islands in late February 2020. As the beach was boat-access only, anything found on the shore would've been washed up from the ocean, not left there by visitors.

They expected to see a couple masks washed up with other plastic pollution. What they weren't expecting was to come across 70 masks strewn across a 100 metre stretch of the beach.

At that time, it was six weeks after mask-wearing had become the norm in Hong Kong due to COVID-19.

The team continued visiting the beach, and would post photos of the face masks they found on Facebook, lining up the bedraggled blue rectangles on the sand. And the mask numbers persisted throughout the months.

In late November, two volunteers "collected 54 masks over the course of one hour from our original test beach," the report stated.

THE PLASTIC BOOM

When the pandemic hit Canada in March, it disrupted the country's attempts to shift away from plastic -- suddenly, and understandably, the larger concern was with cleanliness and contamination. Being able to dispose of bags, gloves or other plastic barriers between us and a world that seemed full of infection was a new priority. Coffee shops stopped filling up reusable mugs.

"Hygiene concerns and greater reliance on take-away food has led to increased use of plastics, particularly plastic packaging," Gary Stokes, Director of Operations of OceansAsia, said in the release. "Meanwhile, a number of measures designed to reduce plastic consumption, like single-use plastic bag bans, have been delayed, paused, or rolled back."

The sudden need for more packaging was felt across numerous countries struck by the virus. In Italy, the purchasing of packaged mandarin oranges went up by 111 per cent in the first week of March 2020, compared to the previous year, the report stated.

As restaurants were forced to limit or shut down in-person service, takeaway containers started to pile up. The report cited an environmental group from Hong Kong, Greeners Action, which had estimated that those in Hong Kong were disposing of 101 million pieces of plastic cutlery and single-use food containers per week in April.

To get general information about the effects of plastic pollution, the researchers looked at peer-reviewed research on the topic, focusing on those from the past five years.

In 2018, the global plastic production that year totalled around 359 million tonnes, according to the report. And less is getting recycled than many consumers might think. In Canada, a report commissioned by Environment and Climate Change Canada in 2018 found that only nine per cent of plastic waste is recycled, while around 86 per cent end up in landfills.

Our oceans were already full of plastic long before COVID-19 drove up production of things such as face masks and PPE.

One floating collection of plastic, called the "Great Pacific Garbage Patch," which covers around 1.6 million square kilometres, contains more than 1.8 trillion pieces of plastic.

Plastic waste can have a horrific effect on marine animals and the environment as a whole.

"Marine plastic pollution is devastating our oceans," Stokes said. "Plastic pollution kills an estimated 100,000 marine mammals and turtles, over a million seabirds, and even greater numbers of fish, invertebrates and other animals each year. It also negatively impacts fisheries and the tourism industry, and costs the global economy an estimated $13 billion USD per year."

FLOATING FACE MASKS

The wearing of face masks has been required in many regions of the world during the pandemic -- and in many regions of Canada.

Although governments and health officials have championed the use of cloth face masks for the general public, which can be washed and reused, many still use disposable surgical masks.

These blue, paper-like masks are actually made largely of plastics, with the most common material being polypropylene.

"Products of similar materials to face masks are estimated to take as long as 450 years to decompose," the report stated, adding that the masks could release microplastics as they decompose. The straps on the masks also present an entanglement threat to animals if they end up in the environment after being disposed of, leading one animal rights group to call for mask wearers to cut the straps before they throw away the masks.

The fears of contamination, as well as the competing types of plastic contained in the masks, make them hard to recycle, which could contribute to why they are ending up in plastic waste that enters the environment, the report suggested.

Face masks are a part of everyday life now in many parts of Canada, and are a lifesaving measure to prevent the spread of COVID-19. Eliminating masks completely is not an option -- but researchers stressed that for the general public, choosing reusable masks for day-to-day use over disposable ones will cut down on plastic waste ending up in the oceans.

Where single-use masks are necessary, researchers urge consumers to discard their masks correctly, and check with local authorities for guidance on how to do so. Some companies are also working on producing masks made with sustainable or biodegradable materials, in order to cut down on pollution.

view larger image

Masks collected in all states of breakdown by OceansAsia. (OceansAsia / Facebook)

# data[].attributes.attachment_link.title
More than 1.56 billion face masks could end up polluting oceans: report

# data[].attributes.attachment_link.description
TORONTO -- More than 1.56 billion face masks used in 2020 will make their way into our planet's oceans, joining literal tonnes of other plastic pollution, according to an estimate by OceansAsia. The Hong-Kong based marine conservation organization released a report on Monday that details one of the devastating side-effects of the COVID-19 pandemic: the increase in plastic use and disposal.

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https://youtu.be/8UKz3QkMcf0

# data[].attributes.attachment_link.title
GLOBALink | China's first hydrogen fuel cell hybrid locomotive starts trial run

# data[].attributes.attachment_link.title
Ocean Cleanup system installed and ready for work at the Great Pacific Garbage Patch

# data[].attributes.attachment_link.description
It has been a long journey for the Ocean Cleanup Project, but after years of development and a 1,300-plus-mile trip through the open water, its first system is now installed at the Great Pacific Garbage Patch. While this is a huge milestone for the team, the real work is just beginning for this…

# data[].attributes.body
Please recycle your masks guys!

# data[].attributes.attachment_link.readable_text
TORONTO -- More than 1.56 billion face masks used in 2020 will make their way into our planet's oceans, joining literal tonnes of other plastic pollution, according to an estimate by OceansAsia.

The Hong-Kong based marine conservation organization released a report on Monday that details one of the devastating side-effects of the COVID-19 pandemic: the increase in plastic use and disposal.

They hypothesized that the face masks would add up to around 4,860 to 6,240 tons of extra plastic waste in the oceans.

"The 1.56 billion face masks that will likely enter our oceans in 2020 are just the tip of the iceberg," Dr. Teale Phelps Bondaroff, Director of Research for OceansAsia, and lead author of the report said in a press release. "[It's] just a small fraction of the estimated 8 to 12 million metric tonnes of plastic that enter our oceans each year."

The researchers acknowledge that it's difficult to pinpoint the exact number of masks that have been manufactured worldwide, and also to figure out what percentage would have been inappropriately disposed of.

Previous research has suggested that three per cent of plastic waste finds its way into our oceans. Using a global production estimate of 52 billion masks manufactured in 2020 -- a number that comes from a June report forecasting production numbers -- and a conservative three-per-cent loss rate, OceansAsia arrived at the 1.56 billion estimate for how many masks will end up in the Earth's oceans.

The research started when OceansAsia visited an isolated beach in the Soko Islands in late February 2020. As the beach was boat-access only, anything found on the shore would've been washed up from the ocean, not left there by visitors.

They expected to see a couple masks washed up with other plastic pollution. What they weren't expecting was to come across 70 masks strewn across a 100 metre stretch of the beach.

At that time, it was six weeks after mask-wearing had become the norm in Hong Kong due to COVID-19.

The team continued visiting the beach, and would post photos of the face masks they found on Facebook, lining up the bedraggled blue rectangles on the sand. And the mask numbers persisted throughout the months.

In late November, two volunteers "collected 54 masks over the course of one hour from our original test beach," the report stated.

THE PLASTIC BOOM

When the pandemic hit Canada in March, it disrupted the country's attempts to shift away from plastic -- suddenly, and understandably, the larger concern was with cleanliness and contamination. Being able to dispose of bags, gloves or other plastic barriers between us and a world that seemed full of infection was a new priority. Coffee shops stopped filling up reusable mugs.

"Hygiene concerns and greater reliance on take-away food has led to increased use of plastics, particularly plastic packaging," Gary Stokes, Director of Operations of OceansAsia, said in the release. "Meanwhile, a number of measures designed to reduce plastic consumption, like single-use plastic bag bans, have been delayed, paused, or rolled back."

The sudden need for more packaging was felt across numerous countries struck by the virus. In Italy, the purchasing of packaged mandarin oranges went up by 111 per cent in the first week of March 2020, compared to the previous year, the report stated.

As restaurants were forced to limit or shut down in-person service, takeaway containers started to pile up. The report cited an environmental group from Hong Kong, Greeners Action, which had estimated that those in Hong Kong were disposing of 101 million pieces of plastic cutlery and single-use food containers per week in April.

To get general information about the effects of plastic pollution, the researchers looked at peer-reviewed research on the topic, focusing on those from the past five years.

In 2018, the global plastic production that year totalled around 359 million tonnes, according to the report. And less is getting recycled than many consumers might think. In Canada, a report commissioned by Environment and Climate Change Canada in 2018 found that only nine per cent of plastic waste is recycled, while around 86 per cent end up in landfills.

Our oceans were already full of plastic long before COVID-19 drove up production of things such as face masks and PPE.

One floating collection of plastic, called the "Great Pacific Garbage Patch," which covers around 1.6 million square kilometres, contains more than 1.8 trillion pieces of plastic.

Plastic waste can have a horrific effect on marine animals and the environment as a whole.

"Marine plastic pollution is devastating our oceans," Stokes said. "Plastic pollution kills an estimated 100,000 marine mammals and turtles, over a million seabirds, and even greater numbers of fish, invertebrates and other animals each year. It also negatively impacts fisheries and the tourism industry, and costs the global economy an estimated $13 billion USD per year."

FLOATING FACE MASKS

The wearing of face masks has been required in many regions of the world during the pandemic -- and in many regions of Canada.

Although governments and health officials have championed the use of cloth face masks for the general public, which can be washed and reused, many still use disposable surgical masks.

These blue, paper-like masks are actually made largely of plastics, with the most common material being polypropylene.

"Products of similar materials to face masks are estimated to take as long as 450 years to decompose," the report stated, adding that the masks could release microplastics as they decompose. The straps on the masks also present an entanglement threat to animals if they end up in the environment after being disposed of, leading one animal rights group to call for mask wearers to cut the straps before they throw away the masks.

The fears of contamination, as well as the competing types of plastic contained in the masks, make them hard to recycle, which could contribute to why they are ending up in plastic waste that enters the environment, the report suggested.

Face masks are a part of everyday life now in many parts of Canada, and are a lifesaving measure to prevent the spread of COVID-19. Eliminating masks completely is not an option -- but researchers stressed that for the general public, choosing reusable masks for day-to-day use over disposable ones will cut down on plastic waste ending up in the oceans.

Where single-use masks are necessary, researchers urge consumers to discard their masks correctly, and check with local authorities for guidance on how to do so. Some companies are also working on producing masks made with sustainable or biodegradable materials, in order to cut down on pollution.

view larger image

Masks collected in all states of breakdown by OceansAsia. (OceansAsia / Facebook)

# data[].attributes.attachment_link.title
More than 1.56 billion face masks could end up polluting oceans: report

# data[].attributes.attachment_link.description
TORONTO -- More than 1.56 billion face masks used in 2020 will make their way into our planet's oceans, joining literal tonnes of other plastic pollution, according to an estimate by OceansAsia. The Hong-Kong based marine conservation organization released a report on Monday that details one of the devastating side-effects of the COVID-19 pandemic: the increase in plastic use and disposal.

# data[].attributes.attachment_link.readable_text
How many species have gone extinct?

Extinctions have been a natural part of the planet's evolutionary history. 99% of the four billion species that have evolved on Earth are now gone.¹ Most species have gone extinct.

But when people ask the question of how many species have gone extinct, they're usually talking about the number of extinctions in recent history. Species that have gone extinct, mainly due to human pressures.

The IUCN Red List has estimated the number of extinctions over the last five centuries. Unfortunately we don't know about everything about all of the world's species over this period, so it's likely that some will have gone extinct without us even knowing they existed in the first place. So this is likely to be an underestimate.

In the chart we see these estimates for different taxonomic groups. It estimates that 900 species have gone extinct since 1500. Our estimates for the better-studied taxonomic groups are likely to be more accurate. This includes 85 mammal; 159 bird; 35 amphibian; and 80 fish species.

Species threatened with extinction today

To understand the biodiversity problem we need to know how many species are under pressure; where they are; and what the threats are. To do this, the IUCN Red List of Threatened Species evaluates species across the world for their level of extinction risk. It does this evaluation every year, and continues to expand its coverage.

The IUCN has not evaluated all of the world's known species; in fact, in many taxonomic groups it has assessed only a very small percentage. In 2020, it had assessed only 6% of described species. But, this very much varies by taxonomic group. In the chart we see the share of described species in each group that has been assessed for their level of extinction risk. As we'd expect, animals such as birds, mammals, amphibians have seen a much larger share of their species assessed - more than 80%. Only 1% of insects have. And less than 1% of the world's fungi.

The lack of complete coverage of the world's species highlights two important points we need to remember when interpreting the IUCN Red List data:

1. Changes in the number of threatened species over time does not necessarily reflect increasing extinction risks. The IUCN is a project that continues to expand. More and more species are been evaluated every year. In the year 2000, less than 20,000 species had been evaluated. By 2020, 130,000 had. As more species are evaluated, inevitably, more will be listed as being threatened with extinction. This means that tracking the data on the number of species at risk of extinction over time doesn't necessarily reflect an acceleration of extinction threats; a lot is simply explained by an acceleration of the number of species being evaluated. This is why we do not show trends for the number of threatened species over time.

2. The number of threatened species is an underestimate. Since only 6% of described species have been evaluated (for some groups, this is much less) the estimated number of threatened species is likely to be much lower than the actual number. There is inevitably more threatened species within the 94% that have not been evaluated.

We should also define more clearly what threatened with extinction actually means. The IUCN Red List categorize species based on their estimated probability of going extinct within a given period of time. These estimates take into account population size, the rate of change in population size, geographical distribution, and extent of environmental pressures on them. 'Threatened' species is the sum of the following three categories:

Critically endangered species have a probability of extinction higher than 50% in ten years or three generations;

Endangered species have a greater than 20% probability in 20 years or five generations;

Vulnerable have a probability greater than 10% over a century.

How many species are threatened with extinction?

The IUCN Red List has evaluated 35,765 species across all taxonomic groups to be threatened with extinction in 2020. As we noted earlier, this is a large underestimate of the true number because most species have not been evaluated.

In the chart we see the number of species at risk in each taxonomic group. Since birds, mammals, and amphibians are the most well-studied groups their numbers are the most accurate reflection of the true number. The numbers for understudied groups such as insects, plants and fungi will be a large underestimate.

What percentage of species are threatened with extinction?

What share of known species are threatened with extinction? Since the number of species that has been evaluated for their extinction risk is such a small fraction of the total known species, it makes little sense for us to calculate this figure for all species, or for groups that are significantly understudied. It will tell us very little about the actual share of species that are threatened.

But we can calculate it for the well-studied groups. The IUCN Red List provides this figure for groups where at least 80% of described species has been evaluated. These are shown in the chart.

Around one-quarter of the world's mammals; 1-in-6 bird species; and 40% of amphibians are at risk. In more niche taxonomic groups - such as horseshoe crabs and gymnosperms, most species are threatened.

The 'Big Five' Mass Extinctions

Many people say we're in the midst of a sixth mass extinction. That human pressures on wildlife - deforestation, poaching, overfishing and climate change - are pushing many of the world's species to the brink. Before we look at whether there is any truth to this, we should take a look at history's mass extinction events. When and why did they happen?

First we need to be clear on what we mean by 'mass extinction'. Extinctions are a normal part of evolution: they occur naturally and periodically over time.² There's a natural background rate to the timing and frequency of extinctions: 10% of species are lost every million years; 30% every 10 million years; and 65% every 100 million years.³ It would be wrong to assume that species going extinct is out-of-line with what we would expect. Evolution occurs through the balance of extinction - the end of species - and speciation - the creation of new ones.

Extinctions occur periodically at what we would call the 'background rate'. We can therefore identify periods of history when extinctions were happening much faster than this background rate - this would tell us that there was an additional environmental or ecological pressure creating more extinctions than we would expect.

But mass extinctions are defined as periods with much higher extinction rates than normal. They are defined by both magnitude and rate. Magnitude is the percentage of species that are lost. Rate is how quickly this happens. These metrics are inevitably linked, but we need both to qualify as a mass extinction.

In a mass extinction at least 75% of species go extinct within a relatively (by geological standard) short period of time.⁴ Typically less than two million years.

There have been five mass extinction events in Earth's history. At least, since 500 million years ago; we know very little about extinction events in the Precambrian and early Cambrian earlier which predates this.⁵ These are called the 'Big Five', for obvious reasons.

In the chart we see the timing of events in Earth's history.⁶ It shows the changing extinction rate (measured as the number of families that went extinct per million years). Again, note that this number was never zero: background rates of extinction were low - typically less than 5 families per million years - but ever-present through time.

We see the spikes in extinction rates marked as the five events:

1. End Ordovician (444 million years ago; mya)

2. Late Devonian (360 mya)

3. End Permian (250 mya)

4. End Triassic (200 mya) - many people mistake this as the event that killed off the dinosaurs. But in fact, they were killed off at the end of the Cretaceous period - the fifth of the 'Big Five'.

5. End Cretaceous (65 mya) - the event that killed off the dinosaurs.

Finally, at the end of the timeline we have the question of what is to come. Perhaps we are headed for a sixth mass extinction. But we are currently far from that point. There are a range of trajectories that the extinction rate could take in the decades and centuries to follow; which one we follow is determined by us.

All of the 'Big Five' were caused by some combination of rapid and dramatic changes in climate, combined with significant changes in the composition of environments on land or in the ocean (such as ocean acidification or acid rain from intense volcanic activity).

In the table here I detail the proposed causes for each of the five extinction events.⁷

Extinction Event Age Percentage of species lost Cause of extinctions (mya)

End Ordovician

444

86%

Intense glacial and interglacial periods created large swings in sea levels and moved shorelines dramatically. Tectonic uplift of the Appalachian mountains created lots of weathering, sequestration of CO ₂ and with it, changes in climate and ocean chemistry.

Late Devonian

360

75%

Rapid growth and diversification of land plants generated rapid and severe global cooling.

End Permian

250

96%

Intense volcanic activity in Siberia. This caused global warming. Elevated CO ₂ and sulphur (H ₂ S) levels from volcanoes caused ocean acidification, acid rain, and other changes in ocean and land chemistry.

End Triassic

200

80%

Underwater volcanic activity in the Central Atlantic Magmatic Province (CAMP) caused global warming, and a dramatic change in chemistry composition in the oceans.

End Cretaceous

65

76%

Asteroid impact in Yucatán, Mexico. This caused global cataclysm and rapid cooling. Some changes may have already pre-dated this asteroid, with intense volcanic activity and tectonic uplift.

Quaternary Megafauna Extinctions

Humans have had such a profound impact on the planet's ecosystems and climate that Earth might be defined by a new geological epoch: the Anthropocene (where "anthro" means "human"). Some think this new epoch should start at the Industrial Revolution, some at the advent of agriculture 10,000 to 15,000 years ago. This feeds into the popular notion that environmental destruction is a recent phenomenon.

The lives of our hunter-gatherer ancestors are instead romanticized. Many think they lived in balance with nature, unlike modern society where we fight against it. But when we look at the evidence of human impacts over millennia, it's difficult to see how this was true.

Our ancient ancestors drove more than 178 of the world's largest mammals ('megafauna') to extinction. This is known as the 'Quaternary Megafauna Extinction' (QME). The extent of these extinctions across continents is shown in the chart. Between 52,000 and 9,000 BC, more than 178 species of the world's largest mammals (those heavier than 44 kilograms - ranging from mammals the size of sheep to elephants) were killed off. There is strong evidence to suggest that these were primarily driven by humans - we look at this in more detail later.

Africa was the least hard-hit, losing only 21% of its megafauna. Humans evolved in Africa, and hominins had already been interacting with mammals for a long time. The same is also likely to be true across Eurasia, where 35% of megafauna were lost. But Australia, North America and South America were particularly hard-hit; very soon after humans arrived, most large mammals were gone. Australia lost 88%; North America lost 83%; and South America, 72%.

Far from being in balance with ecosystems, very small populations of hunter-gatherers changed them forever. By 8,000 BC - almost at the end of the QME - there were only around 5 million people in the world. A few million killed off hundreds of species that we will never get back.

Did humans cause the Quaternary Megafauna Extinction?

The driver of the QME has been debated for centuries. Debate has been centered around how much was caused by humans and how much by changes in climate. Today the consensus is that most of these extinctions were caused by humans.

There are several reasons why we think our ancestors were responsible.

Extinction timings closely match the timing of human arrival. The timing of megafauna extinctions were not consistent across the world; instead, the timing of their demise coincided closely with the arrival of humans on each continent. The timing of human arrivals and extinction events is shown on the map.

Humans reached Australia somewhere between 65 to 44,000 years ago.⁸ Between 50 and 40,000 years ago, 82% of megafauna had been wiped out. It was tens of thousands of years before the extinctions in North and South America occurred. And several more before these occurred in Madagascar and the Caribbean islands. Elephant birds in Madagascar were still present eight millennia after the mammoth and mastodon were killed off in America. Extinction events followed man's footsteps.

Significant climatic changes tend to be felt globally. If these extinction were solely due to climate we would expect them to occur at a similar time across the continents.

QME selectively impacted large mammals. There have been many extinction events in Earth's history. There have been five big mass extinction events, and a number of smaller ones. These events don't usually target specific groups of animals. Large ecological changes tend to impact everything from large to small mammals, reptiles, birds, and fish. During times of high climate variability over the past 66 million years (the 'Cenozoic period'), neither small nor large mammals were more vulnerable to extinction.⁹

The QME was different and unique in the fossil record: it selectively killed off large mammals. This suggests a strong influence from humans since we selectively hunt larger ones. There are several reasons why large mammals in particular have been at greater risk since the arrival of humans.

Islands were more heavily impacted than Africa. As we saw previously, Africa was less-heavily impacted than other continents during this period. We would expect this since hominids had been interacting with mammals for a long time before this. These interactions between species would have impacted mammal populations more gradually and to a lesser extent. They may have already reached some form of equilibrium. When humans arrived on other continents - such as Australia or the Americas - these interactions were new and represented a step-change in the dynamics of the ecosystem. Humans were an efficient new predator.

There has now been many studies focused on the question of whether humans were the key driver of the QME. The consensus is yes. Climatic changes might have exacerbated the pressures on wildlife, but the QME can't be explained by climate on its own. Our hunter-gatherer ancestors were key to the demise of these megafauna.

Human impact on ecosystems therefore date back tens of thousands of years, despite the Anthropocene paradigm that is this a recent phenomenon. We've not only been in direct competition with other mammals, we've also reshaped the landscape beyond recognition. Let's take a look at this transformation.

Are we heading for a sixth mass extinction?

Seeing wildlife populations shrink is devastating. But the extinction of an entire species is tragedy on another level. It's not simply a downward trend; it marks a stepwise change. A complex life form that is lost forever.

But extinctions are nothing new. They are a natural part of the planet's evolutionary history. 99% of the four billion species that have evolved on Earth are now gone.¹⁰ Species go extinct, while new ones are formed. That's life. There's a natural background rate to the timing and frequency of extinctions: 10% of species are lost every million years; 30% every 10 million years; and 65% every 100 million years.¹¹

What worries ecologists is that extinctions today are happening much faster than nature would predict. This has happened five times in the past: these are defined as mass extinction events and are aptly named the 'Big Five' [we cover them in more detail here]. In each extinction event the world lost more than 75% of its species in a short period of time (here we mean 'short' in its geological sense - less than two million years).

Are we in the midst of another one? Many have warned that we're heading for a sixth mass extinction, this one driven by humans. Is this really true, or are these claims overblown?

Before we can even consider this question we need to define what a 'mass extinction' is. Most people would define it as wiping out all, or most of, the world's wildlife. But there's a technical definition. Extinction is determined by two metrics: magnitude and rate. Magnitude is the percentage of species that have gone extinct. Rate measures how quickly these extinctions happened - the number of extinctions per unit of time. These two metrics are tightly linked, but we need both of them to 'diagnose' a mass extinction. If lots of species go extinct over a very long period of time (let's say, 1 billion years), this is not a mass extinction. The rate is too slow. Similarly, if we lost some species very quickly but in the end it didn't amount to a large percentage of species, this also wouldn't qualify. The magnitude is too low. To be defined as a mass extinction, the planet needs to lose a lot of its species quickly.

In a mass extinction we need to lose more than 75% of species, in a short period of time: around 2 million years. Some mass extinctions happen more quickly than this.

Of course, this is not to say that "only" losing 60% of the world's species is no big deal. Or that extinctions are the only measure of biodiversity we care about - large reductions in wildlife populations can cause just as much disruption to ecosystems as the complete loss of some species. We look at these changes in other parts of our work [see our article on the Living Planet Index]. But here we're going to stick with the official definition of a mass extinction to test whether these claims are true.

There are a few things that make this difficult. The first is just how little we know about the world's species and how they're changing. Some taxonomic groups - such as mammals, birds and amphibians - we know a lot about. We have described and assessed most of their known species. But we know much less about the plants, insects, fungi and reptiles around us. For this reason, mass extinctions are usually assessed for these groups we know most about. This is mostly vertebrates. What we do know is that levels of extinction risk for the small number of plant and invertebrate species that have been assessed is similar to that of vertebrates.¹² This gives us some indication that vertebrates might give us a reasonable proxy for other groups of species.

The second difficulty is understanding modern extinctions in the context of longer timeframes. Mass extinctions can happen over the course of a million years or more. We're looking at extinctions over the course of centuries or even decades. This means we're going to have to make some assumptions or scenarios of what might or could happen in the future.

There are a few metrics researchers can use to tackle this question.

1. Extinctions per million species-years (E/MSY). Using reconstructions in the fossil record, we can calculate how many extinctions typically occur every million years. This is the 'background extinction rate'. To compare this to current rates we can assess recent extinction rates (the proportion of species that went extinct over the past century or two) and predict what proportion this would be over one million species-years.

2. Compare current extinction rates to previous mass extinctions.We can compare calculations of the current E/MSY to background extinction rates (as above). But we can also compare these rates to previous mass extinction events.

3. Calculate the number of years needed for 75% of species to go extinct based on current rates.If this number is less than a few million years, this would fall into 'mass extinction' territory.

Calculate extinction rates for the past 500 years (or 200 years, or 50 years)and ask whether extinction rates during previous periods were as high.

An obvious question to ask is how many species have gone extinct already. How close to the 75% 'threshold' are we?

At first glance, it seems like we're pretty far away. Since 1500 around 0.5% to 1% of the world's assessed vertebrates have gone extinct. As we see in the chart, that's around 1.3% of birds; 1.4% of mammals; 0.6% of amphibians; 0.2% of reptiles; and 0.2% of bony fishes. Due to the many measurement issues for these groups - and how our understanding of species has changed in recent centuries - the extinction rates that these predict are likely an underestimate (more on this later).

So, we've lost around 1% of these species. But we should also consider the large number of species that are threatened with extinction. Thankfully we've not lost them yet, but there is a high risk that we do. Species threatened with extinction are defined by the IUCN Red List, and it encompasses several categories:

Critically endangered species have a probability of extinction higher than 50% in ten years or three generations;

Endangered species have a greater than 20% probability in 20 years or five generations;

Vulnerable have a probability greater than 10% over a century.

There's a high chance that many of these species go extinct in the new few decades. If they do, this share of extinct species changes significantly. In the chart we also see the share of species in each group that is threatened with extinction. We would very quickly go from 1% to almost one-quarter of species. We'd be one-third of the way to the '75%' line.

Again, you might think that 1%, or even 25%, is small. At least much smaller than the 75% definition of a mass extinction. But what's important is the speed that this has happened. Previous extinctions happened over the course of a million years or more. We're already far along the curve within only a few centuries, or even decades. We'll see this more clearly later when we compare recent extinction rates to those of the past. But we can quickly understand this from a quick back-of-the-envelope calculation. If it took us 500 years to lose 1% of species, it would take us 37,500 years to lose 75%.¹³ Much faster than the million years of previous extinction events. Of course this assumes that future extinctions would continue at the same rate - a big assumption, and one we will come to later. It might even be a conservative one - there might be species that went extinct without us even knowing that they existed at all.

There are two ways to compare recent extinction rates. First, to the natural 'background' rates of extinctions. Second, to the extinction rates of previous mass extinctions.

The research is quite clear that extinction rates over the last few centuries have been much higher than we'd expect. The background rate of extinctions of vertebrates that we would expect is around 0.1 to 1 extinctions per million-species years (E/MSY).¹⁴ In the chart we see the comparison, broken down by their pre- and post-1900 rates.

Modern extinction rates average around 100 E/MSY. This means birds, mammals and amphibians have been going extinct 100 to 1000 times faster than we would expect.

Researchers think this might even be an underestimate. One reason is that some modern species are understudied. Some might have gone extinct before we had the chance to identify them. They will ultimately show up in the fossil record later, but for now, we don't even know that they existed. This might be particularly true for species a century ago when much less resource was put into wildlife research and conservation.

Another key point is that we have many species that are not far from extinction: species that are critically endangered or endangered. There's a high chance that many could go extinct in the coming decades. If they did, extinction rates would increase massively. In another study published in Science, Michael Hoffman and colleagues estimated that 52 species of birds, mammals and amphibians move one category closer to extinction on the IUCN Red List every year.¹⁵ Pimm et al. (2014) estimate that this would give us an extinction rate of 450 E/MSY. Again, 100 to 1000 times higher than the background rate.

Clearly we're killing off species much faster than would be expected. But does this fall into 'mass extinction' territory? Is it fast enough to be comparable to the 'Big Five'?

One way to answer this is to compare recent extinction rates with rates from previous mass extinctions. Researcher, Malcolm McCallum did this comparison for the Cretaceous-Palogene (K-Pg) mass extinction.¹⁶ This was the event that killed off the dinosaurs around 65 million years ago. In the chart we see the comparison of (non-dinosaur) vertebrate extinction rates during the K-Pg mass extinction to recent rates. This shows how many times faster species are now going extinct compared to then.

We see clearly that rates since the year 1500 are estimated to be 24 to 81 times faster than the K-Pg event. If we look at even more recent rates, from 1980 onwards, this increases to up to 165 times faster. Again, this might even be understating the pace of current extinctions. We have many species that are threatened with extinction: there is a high probability that many of these species go extinct within the next century. If we were to include species classified as 'threatened' on the IUCN Red List, extinctions would be happening thousands of times faster than the K-Pg extinction.

This makes the point clear: we're not only losing species at a much faster rate than we'd expect, we're losing them tens to thousands of times faster than the rare mass extinction events in Earth's history.

Recent rates of extinction, if they continued, would put us on course for a sixth mass extinction. A final way to check the numbers on this is to estimate how long it would take for us to get there. On our current path, how long before 75% of species went extinct? If this number is less than 2 million years, it would qualify as a mass extinction event.

Earlier we came up with a crude estimate for this number. If it took us 500 years to lose 1% of species, it would take us 37,500 years to lose 75%.¹⁷ That assumes extinctions continue at the average rate over that time. Malcolm McCallum's analysis produced a similar order of magnitude: 54,000 years for vertebrates based on post-1500 extinction rates.¹⁸ Extinction rates have been faster over the past 50 years. So if we take the post-1980 extinction rates, we'd get there even faster: in only 18,000 years.

But again, this doesn't account for the large number of species that are threatened with extinction today. If these species did go extinct soon, our extinction rates would be much higher than the average over the last 500 years. In a study published in Nature, Anthony Barnosky and colleagues looked at the time it would take for 75% of species to go extinct across four scenarios.¹⁹

1. If all species classified as 'critically endangered' went extinct in the next century;

2. If all species classified as 'threatened' went extinct in the next century;

3. If all species classified as 'critically endangered' went extinct in the next 500 years;

4. If all species classified as 'threatened' went extinct in the next 500 years.

To be clear: these are not predictions of the future. We can think of them as hypotheticals of what could happen if we don't take action to protect the world's threatened species. In each case the assumed extinction rate would be very different, and this has a significant impact on the time needed to cross the 'mass extinction' threshold. The results are shown in the chart.

In the most extreme case, where we lose all of our threatened species in the next 100 years, it would take only 250 to 500 years before 75% of the world's birds, mammals and amphibians went extinct. If only our critically endangered animals went extinct in the next century, this would increase to a few thousand years. If these extinctions happened much slower - over 500 years rather than a century - it'd be around 5,000 to 10,000 years. In any scenario, this would happen much faster than the million year timescale of previous mass extinctions.

This makes two points very clear. First, extinctions are happening at a rapid rate - up to 100 times faster than the 'Big Five' events that define our planet's history. Current rates do point towards a sixth mass extinction. Second, these are scenarios of what could happen. It doesn't have to be this way.

There is one thing that sets the sixth mass extinction apart from the previous five. It can be stopped. We can stop it. The 'Big Five' mass extinctions were driven by a cascade of disruptive events - volcanism, ocean acidification, natural swings in climate. There was no one or nothing to hit the brakes and turn things around.

This time it's different. We are the primary driver of these environmental changes: deforestation, climate change, ocean acidification, hunting, and pollution of ecosystems. That's depressing. But is also the best news we could hope for. It means we have the opportunity (and some would argue, the responsibility) to stop it. We can protect the world's threatened species from going extinct; we can slow and reverse deforestation; slow global climate change; and allow natural ecosystems to heal. There are a number of examples of where we have been successful in preventing these extinctions [see our article on species conservation].

The conclusion that we're on course for a sixth mass extinction hinges on the assumption that extinctions will continue at their recent rates. Or, worse, that they will accelerate. Nothing about that is inevitable. To stop it, we need to understand where and why the world's species are going extinct. This is the first step to understanding what we can do to turn things around. This is what our work on Biodiversity aims to achieve.

How many species has conservation saved from extinction?

It's hard to find good news on the state of the world's wildlife. Many predict that we're heading for a sixth mass extinction; the Living Planet Index reports a 68% average decline in wildlife populations since 1970; and we continue to lose the tropical habitats that support our most diverse ecosystems. The United Nations Convention on Biological Diversity set 20 twenty targets - the Aichi Biodiversity Targets - to be achieved by 2020. The world missed all of them.²⁰ We didn't meet a single one.

Perhaps, then, the loss of biodiversity is unavoidable. Maybe there is nothing we can do to turn things around.

Thankfully there are signs of hope. As we will see, conservation action might have been insufficient to meet our Aichi targets, but it did make a difference. Tens of species were saved through these interventions. There's other evidence that protected areas have retained bird diversity in tropical ecosystems. And each year there are a number of species that move away from the extinction zone on the IUCN Red List.

We need to make sure these stories of success are heard. Of course, we shouldn't use them to mask the bad news. They definitely don't make up for the large losses in wildlife we're seeing around the world. In fact, the risk here is asymmetric: growth in one wildlife population does not offset a species getting pushed to extinction. A species lost to extinction is a species lost forever. We can't make up for this loss by simply increasing the population of something else. But we can make sure two messages are communicated at the same time.

First, that we're losing our biodiversity at a rapid rate. Second, that it's possible to do something about it. If there was no hope of the second one being true, what would be the point of trying? If our actions really made no difference then why would governments support anymore conservation efforts? No, we need to be vocal about the positives as well as the negatives to make clear that progress is possible. And, importantly, understand what we did right so that we can do more of it.

In this article I want to take a look at some of these positive trends, and better understand how we achieved them.

For anyone interested in wildlife conservation, losing a species to extinction is a tragedy. Saving a species is surely one of life's greatest successes.

Conservation efforts might have saved tens of beautiful species over the last few decades. The 12th Aichi Target was to 'prevent extinctions of known threatened species'. We might have missed this, but efforts have not been completely in vain.

In a recent study published in Conservation Letters, researchers estimate that between 28 and 48 bird and mammal species would have gone extinct without the conservation efforts implemented when the Convention on Biological Diversity came into force in 1993.²¹ 21 to 32 bird species, and 7 to 16 mammal species were pulled back from the brink of extinction. In the last decade alone (from 2010 to 2020), 9 to 18 bird, and 2 to 7 mammal extinctions were prevented. This has preserved hundreds of millions of years of evolutionary history. It prevented the loss of 120 million years of evolutionary history of birds, and 26 million years for mammals.

What this means is that extinction rates over the last two decades would have been at least three to four times faster without conservation efforts.

This does not mean that these species are out-of-danger. In fact, the populations of some of these species is still decreasing. We see this in the chart, which shows how the populations of these bird and mammal species that were expected to have gone extinct are changing. 16% of these bird species, and 13% of the mammal species have gone extinct in the wild, but conservation has allowed them to survive in captivity. Across the critically endangered, endangered and vulnerable categories, 53% of bird and 31% of mammal species have increasing or stable populations. This is positive, but makes clear that many of these species are still in decline. Conservation has only been able to slow these losses down.

This only looks at species on the brink of extinction. Many species in serious but less-threatened categories have been prevented from moving closer to extinction. Around 52 species of mammals, birds and amphibians move one category closer to extinction every year. Without conservation, this number would be 20% higher.²²

There are more examples. Studies have shown that protected areas have had a positive impact on preserving bird species in tropical forests.²³ These are some of the world's most threatened ecosystems. And while the IUCN Red List usually makes for a depressing read, there are some success stories. This year the European Bison, Europe's largest land mammals, was moved from 'Vulnerable' to 'Near threatened' (meaning it's less threatened with extinction) thanks to continued conservation efforts. We will look at more European success stories later.

Friederike Bolam et al. (2021) looked at what conservation actions were key to saving the mammal and bird species deemed to be destined for extinction.²⁴ For both birds and mammals, legal protection and the growth of protected areas was important. Protected areas are not perfect - there are countless examples of poorly managed areas where populations continue to shrink. We will look at how effective protected areas are in a follow-up article. But, on average, they do make a difference. Clearly these efforts were critical for species that had gone extinct in the wild. Other important factors were controlling the spread of invasive species into new environments; reintroducing old species into environments where they had been previously lost; and restoring natural habitats, such as wetlands and forests.

The European Bison might steal the headlines, but there are many good news stories across Europe. Many of the drivers of biodiversity loss - deforestation, overhunting, and habitat loss - are happening in the tropics today. But these same changes also happened across Europe and North America. Only, they happened earlier - centuries ago.

Europe is now trying to restore its lost wildlife and habitats through rewilding programmes. The Zoological Society of London, Birdlife International and European Bird Census Council published a report which details how these efforts are going.²⁵ They looked at how the populations of 18 mammal and 19 of Europe's iconic but endangered bird species had changed over the past 50 years.

Most had seen an overwhelming recovery. Most species saw an increase of more than 100%. Some saw more than 1000% growth. Brown bear populations more than doubled over these 50 years. Wolverine populations doubled in the 1990s alone. The Eurasian lynx increased by 500%. Reintroduction programmes of the Eurasian beaver saw populations increase by 14,000% - a doubling or tripling every decade.

What were the main drivers of this recovery?

Part of Europe's success in restoring wildlife populations in recent decades can be attributed to the fact that their development and harvesting of resources came long ago. My European ancestors had already hunted many species to extinction; expanded agricultural land into existing forest; and built cities, roads and other infrastructure that fragments natural habitats. Only in our very recent past have European countries been able to reverse these trends: reforesting; raising livestock instead of hunting; and now reducing the amount of land we use for agriculture through improved productivity.

But there have also been a number of proactive interventions to restore populations. In the chart here we see the main drivers of recovery across European bird species. At the top of the list is habitat restoration - the re-establishment of wetlands, grasslands, forests and other national habitats. Reintroduction of species has also been key. But protecting existing habitats and species has been equally important. Legal site protections and bans on shooting have been the main recovery drivers of almost as many species.

After millennia of habitat loss and exploitation by humans, wildlife is coming back to Europe. Somewhat ironically, humans have played an important role in this.

While most biodiversity trends point towards a barren future for the planet's wildlife, there are success stories to draw upon. These should not make us complacent, or deflect our attention from the seriousness of these losses. But I think it is important to highlight what we have achieved. Protecting the world's wildlife is not impossible - we've just seen the counter-evidence to this. To commit to wider conservation efforts we need to shout more loudly about these wins. Otherwise policymakers will turn their backs on them and we will lose many beautiful species that we could and should have saved.

Explore more of our work on Biodiversity

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How many species have gone extinct? Extinctions have been a natural part of the planet's evolutionary history. 99% of the four billion species that have evolved on Earth are now gone.1 Most species have gone extinct. But when people ask the question of how many species have gone extinct, they're usually talking about the number of extinctions in recent history.

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patrickjmt free math help calculus tutor class lesson video algebra education test exam khanacademy khan academy tutorial prep university mathematics help ex...

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Keepin' it funky fresh for your mathematical needs. Word.

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Circuit Principles and Solving by Graphing Techniques

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Homework IA 1 - Add any you find link related in some way to sustainability. Explain how you make a connection between it and mathematics. For example, I grabbed this:

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Homework IA 1 - Add any you find link related in some way to sustainability. Explain how you make a connection between it and mathematics. For example, I grabbed this:

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Here a piecewise graph and algebra of function is to used to represent data. It might take a little to find a direct example based on actual experimental data, but it is interesting to see this related to something we just learned in part 1.

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Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

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Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

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Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

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Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

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Welcome to IXL's grade 12 math page. Practise math online with unlimited questions in more than 200 grade 12 math skills.

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The Climate Crisis Film Festival is back in 2021! Join us for a program of film screenings, special events and art installations at the COP26 in Glasgow, and online internationally. We always leave our viewers with clear links to action and a sense of empowerment, so be sure to sign up for updates!

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IXL covers everything students need to know for grade 11. Fun, visual skills bring learning to life and adapt to each student's level.

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Covers many levels of math and has quizzes and videos to support understanding on most topics.

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Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

# data[].attributes.subject
Don't Forget to Check the Announcement Block for "Latest Announcements" in Moodle to Keep Up to Date. 

# data[].attributes.attachment_link.description
Welcome to IXL's grade 12 math page. Practise math online with unlimited questions in more than 200 grade 12 math skills.

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IXL covers everything students need to know for grade 11. Fun, visual skills bring learning to life and adapt to each student's level.

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Looking at topic differently always helps

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Creating a space where everyone's opinions and ideas are acknowledged

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Asking questions and getting feedback from Skye and the class. Creating dialogue

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https://www.youtube.com/c/Freemathvideos

Excellent teacher that helps simplify intermediate math terms and theories.

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math maths mathematics algebra "algebra 1" "algebra 2" "college algebra" geometry pre-calc pre-calculus calculus calc ap trigonometry trig "math help" "help ...

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I was that student that sat in the back of the classroom bored out of mind, frustrated & not understanding what the teacher was saying. I struggled learning math but in the pursuit to earn my degree, I learned a lot of what it takes to not only absorb the material, but be successful in class.

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blur the background if there is any distractions for other students

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HIDDEN MATHEMATICS - Randall Carlson - Ancient Knowledge of Space, Time & Cosmic Cycles

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Protecting the Global Ocean For Biodiversity, Food and Climate

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The Simplest Math Problem No One Can Solve - Collatz Conjecture

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https://www.goodnotes.com/
*A notetaking app, but can export annotated documents to flattened pdfs
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https://smallpdf.com/compress-pdf
**Note: Compress FIRST then click "Flatten"

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https://kbpdfstudio.qoppa.com/annotations-andor-markups-not-displayed-in-other-viewers/

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Various Videos on Math Topics

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Share your videos with friends, family, and the world

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https://www.desmos.com/calculator

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Adobe website for compressing pdf files to a smaller file size.

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Compress PDFs online for free | Adobe Acrobat (United States)

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Compress a PDF file in four easy steps. Reduce the size of large files with Adobe Acrobat online services for free.

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There are some more basic topics covered here using some entertaining antics.

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Your browser doesn't support HTML5 video. Here is a link to the video instead.

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Go here for extra practice and explainations for Intermediate Algebra and beyond.

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Purplemath
Need help with math?
Start browsing Purplemath's free resources below!
What are Purplemath's lessons like?

Purplemath's algebra lessons are informal in their tone, and are written with the struggling student in mind. Don't worry about overly-professorial or confusing language! The free lessons on this math website emphasize the practicalities rather than the technicalities, demonstrating dependably helpful techniques, warning of likely "trick" test questions, and pointing out common student mistakes.

Content Continues Below

How much do these lessons cost?

Purplemath's lessons cost nothing! These lessons are free, are intended for students (rather than for instructors), and are interlinked to help you find related material. There is a "Search" box on every page to help you find whatever math content you're looking for - without encountering ads masquerading as search results. Whether you're in middle school, high school, college, or university, these free algebra lessons can help you out!

How can I use Purplemath's lessons?

Purplemath's math lessons can be used in many ways:

Read the lesson that relates to what you're about to study in class, so you get to class at least somewhat prepared.

Print out the lesson that relates to what you're about to study in class, and use the margins, white space, or the backs of pages for taking notes in class.

When the homework seems impossible and the textbook and your class notes aren't helping much, come to Purplemath for clarification.

Let Purplemath help you always be prepared!
Go to the lessons!
How should I be formatting my homework?

Neat homework can aid your comprehension and might make your teacher like you better. Purplemath's " Homework Guidelines for Mathematics" will give you a leg up, explaining in clear terms what your math teacher is looking for. The Guidelines link to examples of common errors, and demonstrate techniques that your instructors will love! In addition, students who get in the habit of explaining themselves clearly in their homework gain greater understanding of what they're doing, and therefore tend to do much better on their tests.

English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests.

Study these Guidelines, print out this " formatting" PDF, and improve your learning, retention, and test scores. Don't leave easy points on the table!
Go to the Guidelines!
How can I measure my study skills?

Many students, from time to time, wonder, "Do I have what it takes to succeed in math?" Much of one's success or failure in algebra can be laid at the feet of one's study habits. Do you have good math study habits? Take this survey and find out.
Go to the study-skills self-survey!
Personalized Help ($): Investigate hiring a qualified tutor in your local area (US only), or try e-mail tutoring from Purplemath's author. But for in-depth, quality, video-supported, at-home help, including self-testing and immediate feedback, try MathHelp.com. MathHelp.com comes highly recommended by homeschoolers, military service members, and other practical people. If you're needing more intensive help, give MathHelp.com a try!

Privacy: You may review Purplemath's cookies policy here and Purplemath's privacy policy here.

URL: https://www.purplemath.com/index.htm

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Struggling with algebra concepts or methods? Help is here!

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Free online lessons, loads of worked examples, clear and practical explainations, and no-nonsense advice. Purplemath is here to help!

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With a 10$USD subscription you can get access to your textbooks answer key.  Make sure your exact edition is available before signing up.

https://www.bartleby.com

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For educational purposes only.

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The Man Who Knew Infinity(2015) Full Movie HD||Dev Patel,Jeremy Irons,Devika Bhise

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Hello all,

For those of you interested in borrowing a textbook from the VCC library and are having trouble requesting the book online, here is some information for you.

Call 604-871-7000 ex. 7323 between the library's open hours of 11am - 3pm. They are able to put a hold on the textbook for you and you are able to stop by and pick it up. Additionally, the lady was really kind and provided two extra materials: a student solutions manual (which is great because it provides step by step operations on the problems in the textbook, and not just the answer) and a small book on introductory trigonometry (which I believe we cover near the end of part 1 of the course.) These will compliment the textbook.

Hope this is helpful!

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Is the textbook necessary for the course or will the practice questions and such be enough?

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Inspiring Masterpiece to maybe watch during break

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Inspiring Masterpiece to maybe watch during break

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https://www.youtube.com/watch?v=YWOZtGMer48

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https://www.youtube.com/watch?v=NyBqfzs-Gzk

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Clear Scan
Can take photos and create PDF files for uploading to Moodle

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keeping video on so we can see each other's lovely faces instead of black boxes :)

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keeping video on so we can see each other's lovely faces instead of black boxes :)

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Not switching to another tab for distractions

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Not switching to another tab for distractions

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safe place to ask for help and get feed back

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safe place to ask for help and get feed back

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time for questions

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no interrupting