Category: Online Safety for Kids

Limits in Differential Calculus: Linking to Derivatives

Limits in Differential Calculus: Linking to Derivatives

In differential calculus, limits are like the building blocks of change that play an important role. It serves as a key to derivatives which is used to determine the rate of change in a function. Suppose you want to set a journey by using the car. The speed of a car is important to track down. Limits help us zoom in on the exact moment the car’s speed is changing.

This change of speed sets the stage for derivatives to step in and provide a precise description of that change.  As we explore limits on mathematics, we begin to understand that both limits and derivatives are duo concepts. These concepts help us to understand what happens to a function as we move close to a specific point.

On the other hand, derivatives help us understand the slope or rate of change at the exact point. Let’s move a little bit further to making calculus to understand all sorts of situations.

Introduction to Limits in Calculus:

In Calculus, limits are defined as:

“The indication of the values in which a function is approached as its given inputs at a specific point without reaching that point”

This concept helps you to understand all types of functions to show whether the points are near or far. It is a simple concept that the boundary of anything is their limit and in calculus, this limit tells how a function behaves near a point. The advanced limits calculator helps to determine the limits for the given functions and shows all steps. But if you come for manual calculations the below formula is used:

Lim x→a F(x) = L

  • The decreasing limits show that the negative function values
  • A positive limit tells that the function increases without any type of limit
  • In the equal limit, there are positive and negative both at the time

Why Limits Matter in Calculus

In calculus, we often encounter situations where we need to analyze the behavior of a function at a specific point or as it approaches infinity. Limits matter due to the fundamental concept of a better understanding of how functions behave. At the core of limit indications, it approaches the inputs as arbitrarily close to a certain value. This concept is understood as crucial for defining the main pillars of calculus like derivatives and integrals.

To lessen the difficulty for students, it allows the analysis more precisely, and now it has been used by worldwide students. Their values approach the x value to the numeric x. They help us grasp the continuity and smoothness of functions, enabling a deeper understanding of their properties.

Utilize Limit Calculator For Iterative Limits Approximation:

With the use of a limit calculator, we will be able to determine all types of limit problems and for manual calculations follow the below table.

Rule’s Expression
Sum/Difference Rule limx→b[f(x) ± h(x)] = limx→b[f(x)] ± limx→b[h(x)]
Constant Rule limx→b[k] = k
Product Rule limx→b[f(x) * h(x)] = limx→b[f(x)] * limx→b[h(x)]
Quotient Rule limx→b[f(x) / h(x)] = limx→b[f(x)] / limx→b[h(x)]
L’Hopital’s Rule limx→b[f(x) / h(x)] = limx→b[f'(x) /h(x)]
Power Rule limx→b[f(x)^n] = [limx→b[f(x)]]^n

How To Use The Limit Calculator

Input Data:

  • There are options like an equation or for a function, choose this one.
  • Set the variable that can be x, y, z, a, b, c, or n
  • Select the direction of the limit whether it is positive or negative
  • You can use the simple expression from the designated field, so place the number at which you want to calculate the limit.

Output Data:

  • Limits of a given function
  • Shows the Taylor’s series expansion for the given function
  • Complete stepwise calculations

Conclusion:

At the end of this discussion, we have concluded that these methods have significant algorithms by which the iterative power to the limits has the roots of the functions with their increasing values. While limit calculation can be difficult for many students, a limit calculator can help to show the steps utilized to better understand the process for any calculation.

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Is Online Shopping Safe for Kids?

Is online shopping safe for kids?

Online shopping can be safe for kids with the proper knowledge and parental involvement. While there are some risks, you can take steps to protect your kids from them and minimize dangers before they appear. It’s essential to teach your kids how to shop safely, a skill that they will need in their adult years.

Here’s how to determine whether your child should be allowed to shop online and what safety measures you can implement to reduce the risks.

Should You Let Your Kids Shop Online?

As your kids get older, they’ll likely ask if they can order things online. While you don’t want to hand over your credit card with no limitations, there are benefits in allowing your kids to have some autonomy. It can teach them financial responsibility and practical skills from a young age.

As a parent, you can decide when your child is old enough to do some of their own shopping, but children under 15 should probably not be spending unsupervised. Teenagers may have various reasons to shop online, like purchasing items like books, school supplies, gifts for family and friends or clothes for special events, like school dances. If they have a job, they may also have items they’re saving up to buy.

While you should always verify that they are shopping from legitimate sources and not overspending, you can allow your older children to make the purchases themselves.

How to Keep Your Kids Safe When Online Shopping

While there are advantages, you shouldn’t let your kids have free rein to shop online as they please. Teach your kids to protect themselves from potential risks as they shop.

Teach Them to Protect Their Personal Information

All online shops require personal information like names, phone numbers and email addresses for payment and shipping. If you have kids younger than 13, have them come to you when they are ready to make a purchase. You can then double-check the site’s credibility and enter your details.

Warn Them About Scams

Teach your kids the dangers of buying toys or gear with steep discounts. If it looks too good to be true, it often is. A cheap price tag could mean that the toy does not meet U.S. safety standards and you want to protect your children from buying counterfeits or recalls.

Here are some other ways to identify scams and check for legitimate purchases:

  • Compare the product and price with other stores.
  • Read reviews. Use a fake review detector to ensure you have the correct information. In 2022, 50% of consumers reported seeing fake reviews, which shows the importance of double-checking before making a purchase.
  • Check for the lock icon or the ‘S’ in HTTPS in the URL. If the site has these, it means it’s secure.
  • If there’s bad grammar, an incomplete site or an odd URL, it could be a scam page.
  • Delete or show Mom and Dad emails with phrases like “click here” or “download now.”
  • If a site asks for you to subscribe or add something to your cart to make the purchase, it’s a scam.

Create an Authorized Shopping Site List

With hundreds of websites and online stores out there, it’s a good idea to have a list of stores that you use as a family. This system can prevent your kids from falling into scams or giving their information to the wrong people.

Encourage your kids to be open about any new online stores they find. Maybe there’s a site that sells their favorite squishmallows and they can’t find them anywhere else. Scan through the site together and tick the scam ID checklist together to help them practice.

Use Ad Blockers

Usually, online stores won’t ask for a person’s age when entering credit card info. That means your child can buy anything online if they have your card. It also means they’ll be exposed to ads for people of all ages. Have them make a purchase with you present can be a learning experience for them, as long as you teach them how to use a credit card safety online.

Download ad blockers and web blockers that filter content that has alcohol or drug messaging, sexual content, inappropriate movies and violent messages. With a web blocker, you can be at peace knowing you reduced the chance of your kid encountering dangerous content.

Prevent Compulsive Buying and Accidental Purchases

Anyone who shops online knows that it’s easy to overfill your cart. With tempting sales and numerous options, “just one more” can quickly turn into a $1,000 cart. While you might have built immunity with experience, your kids are just starting out and they need guidance.

The best way to prevent this is to shop with your child. Show them how to look for items and review their cart. Double-check if the number of items is correct. Make the process slow. This will teach them to check twice before they buy and prevent double or accidental purchases.

You can also set some ground rules, like limiting browsing to 15-30 minutes a day and asking your permission before purchasing. This is an excellent time to improve their financial and budgeting skills. If you give them a monthly allowance, have them review and calculate purchases against their balance.

Have Rules for Shopping Locations

Agree with your kids that all online shopping happens at home. This strategy prevents them from entering personal information while connected to public Wi-Fi in public places like the airport or at school.

Get Kid-Safe Debit Cards

Protect your account from unexpected purchases by making a capped PayPal account for your kids or getting them kid-safe debit cards like Greenlight, GoHenry and Axos. These banking companies also provide resources and apps to build good money habits. Considering kids can form money habits from age 5, it will benefit your kids to learn how to manage their own cards.

Build Safe Online Shopping Habits With Your Kids

As with anything online, there are some risks that come with online shopping. It’s a good idea to provide supervision and safe space to teach your kids how to shop safely.

Cora Gold - Editor in ChiefAuthor bio:  Cora Gold is the Editor-in-Chief of women’s lifestyle magazine, Revivalist. She strives to live a happy and healthy life with her family by her side.
Follow Cora on Facebook and LinkedIn.

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Digital Awareness for Kids: Nonprofit Programs Promoting Online Safety

The more technology advances, the more the digital space becomes dangerous, especially for unsuspecting kids and teenagers.  Social media apps and other online platforms are obviously supposed to be fun, educative, and informative. It is how we get entertainment, news, and trends, and connect with other people across the world.

However, it has also made phishing, scams, cyber predators, and cyberbullying easy. That is why cyber security for nonprofit programs are stepping up to address and promote digital awareness for kids and online safety.

Cybersecurity for Kids – Internet Dangers

We are living in a digital era where technology has taken over and continues to do so with every advancement and new development. Kids nowadays are being born and growing up with technology being a significant part of their lives. Therefore, digital literacy has never been more important.

From a small age, children can use different technologies like phones, tablets, and even laptops, which exposes them to the internet early and makes them vulnerable to online threats. Some of these poised dangers include;

Cyberbullying

This is one of the greatest cybersecurity concerns for kids and teens. Statistics report at least 50% of kids and teens have social anxiety due to cyberbullying, with a majority of them witnessing cyberbullying acts online.

This is mostly a concern to kids on social media and online games where they can easily be ridiculed and attacked by strangers online. The best way to protect kids from cyberbullying is by sitting them down and having conversations about it.

Discuss their activities online and what could possibly happen if they are not careful. It is also important that you teach them how to protect themselves against bullies and stand up to them.

Cyber Predators

We always teach our kids about stranger danger in real life; do not talk to strangers, do not go with strangers, do not accept sweets and other things from strangers, and so on. However, many times, we forget to give our kids the same education about online predators.

Predators know that kids hang out online more and have therefore taken advantage of it and made the internet their hunting ground. Internet stalkers can take advantage of unsupervised children, luring them into dangerous personal meetings.

Phishing

A lot of us have been victims of phishing at some point in our lives. However, at least more adults should know better now, leaving kids and teenagers a primary target for these fraudsters and scammers.

How they work is that they disguise themselves as reputable entities/ companies/ organizations, and try to trick people into giving their sensitive and personal information such as usernames and passwords, through malicious emails and messages.

Because the messages and emails can often appear to be from legit people, like a family member, or reputable companies, it makes it difficult for kids to detect the scam, making them easily fall into the trap.

It is important to teach your kids to refrain from clicking suspicious links on messages and emails, no matter how legit they seem, and to always seek an adult’s guidance in case these messages pop up on their devices and they are not sure what to do.

The Role of Nonprofits in Promoting Digital Awareness and Online Safety for Kids and Cybersecurity for Nonprofits

Nonprofit organizations that are dedicated to children’s online safety understand how scammers have become even more cunning, and how important it is to tighten cybersecurity for nonprofits and online safety for kids.

These organizations work tirelessly to raise awareness about the potential risks associated with online activities and provide resources and support to children and their caregivers to ensure internet safety.

Here are some ways nonprofits are promoting digital awareness and safety for kids;

Education and Awareness

Nonprofits are now collaborating with schools and other educational institutions to raise awareness about cyber-attacks, cyber threats, cyberbullying, and other cybersecurity concerns through various programs and initiatives.

They provide workshops and training about digital literacy and safety, which educate children and teenagers on how to recognize threats online, stay safe on the internet, and stand up for themselves to bullies and predators.

They also emphasize the importance of parental monitoring, and educating parents and caregivers on how to guide their kids on online activities.

Tools and Resources

It is important that nonprofits provide the tools and resources needed to keep children and parents in the know about cybersecurity. These tools may include mobile applications, websites, online forums with live Q&As, and more.

These resources should cover topics such as privacy settings, online etiquette, and recognizing and reporting cyberbullying, to not only promote online safety for children but also enhance cyber security for nonprofits.

Support and Helplines

Providing support and helplines is another important way for nonprofits to foster online security. These are safe havens where children and their parents or caregivers can seek assistance in case of online safety issues.

They can report incidents of cyberbullying, cyber attacks, and any other cyber security issues, and get the necessary support and help they need.

Online Safety Rules for Kids

Digital Awareness for Kids: Nonprofit Programs Promoting Online Safety

In fostering cybersecurity for nonprofits and online safety for kids and teenagers, there are some online safety rules to help kids stay safe on social media, gaming sites, and other online platforms and forums where they are most likely to experience cyber insecurities. Here are some tips;

Never share personal informationTeach your kids what personal information is and how to keep this information private. This may include their full names, physical addresses, school names, email addresses, phone numbers, and any other piece of information that may be used to identify them or against them, online or offline.

Always use a strong password – It is important for kids to understand that passwords and usernames are everything when it comes to online safety. It is one of the most important pieces of information that could give online predators access to their lives. Create strong and unique passwords and avoid easy-to-guess passwords like birthday dates and names.

Always keep social media accounts private – Make sure your kids’ social profiles are private so that not everybody can have access to their information. Only approved friends and family should be able to see their posts. Also, check their friends and follow requests, and teach them how to do some due diligence before accepting random strangers into their space.

Cyberbullying awareness – Children mostly fall prey to cyberbullying and online attacks because they are young, naive, and vulnerable. Predators and online bullies take advantage of their innocence and lack of knowledge and information to make them their victims. Cybersecurity education is important to ensure kids know what cyberbullying is and how to handle it. Encourage them to talk to an adult if they experience or witness any of it.

Use parental controls – Adult monitoring is the only sure way to protect kids online. Ensure you have access to your kids’ devices to monitor their phones and online activities. Check the social media apps they are using, who they are interacting with online, what they are posting, and pretty much every other little detail.

Note that being a spy is not necessary. Let them know that you will be monitoring their online activities and make them understand why it is necessary. Communication is key.

Conclusion

It is the duty of the community at large to ensure that kids are well-protected and that they are safe, both online and offline. Nonprofit programs that promote online safety for kids and cybersecurity for nonprofits are a great way to spread digital awareness.

These organizations provide the necessary education, tools, and resources, and offer support and helplines that help empower children to make informed decisions and protect themselves online.

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How to Explain the Complex Problem of Social Engineering to Kids

How to Explain the Complex Problem of Social Engineering to Kids

Among all the tips for helping kids stay safe online, many parents and educators often forget about the growing and complicated issue and threat of social engineering. On first impressions, social engineering doesn’t seem that harmful, but when you look at it more deeply, you can soon realize how devastating it can be.

Social engineering is – taking it at its very definition – a major security threat to individuals, businesses and institutions worldwide. It’s often grouped together with other frequent and pervasive types of cybercrime like phishing, given how social engineering tactics inherently prey on human emotions and responses. When you scratch beneath the surface, social engineering attacks are arguably more calculated and dangerous than viruses and malware.

While kids everywhere are rightfully taught about the dangers of misinformation, practicing online safety, and preventing cyberbullying, social engineering is one area that’s rarely explored in as much detail. With cybercrime growing rifer and more frequent with each passing day, it’s crucial that kids and teenagers understand the common manipulation tactics that criminals or fraudsters could use to attempt to trick them. Seemingly harmless and simple requests to hand over information, perform actions or send responses over the Internet can lead to a myriad of consequences.

When it comes to understanding and preventing social engineering, knowledge is power. Teaching children to identify and recognize what these types of attack methods look like will help them – and others – win the battle against online crime. By bolstering our defenses and awareness even a little bit, we can encourage more kids to stay safe online and prevent data, information or funds from falling into the hands of malicious actors.

Follow the guidance below to teach your children about some of the most common social engineering techniques, real-world examples, and practical advice you can give them to increase their awareness.

What is Social Engineering?

Social engineering relies on natural human tendencies in interactions and communication. In a typical example, a perpetrator would knowingly exploit a victim by earning their trust and creating the impression that the former is ‘safe’. At this point, the victim’s guard is marginally lowered to the point where systems, logins, devices, data or information could be passed over to the perpetrator without question.

As opposed to bad actors using code or algorithms to execute sophisticated hacks on systems and networks, they use psychological tactics to manipulate users, adjusting attacks based on responses and emotions. Enterprise-grade defence solutions use sophisticated technology to catch hackers accessing networks and systems in the act, however, detecting an individual executing a calculated attack in person is more difficult. It can be argued that no technology is intuitive enough to detect a person’s true intentions, particularly if operating outside the digital space, which is why awareness is absolutely vital.

Social engineering tactics could see people impersonating trusted individuals from reputable companies like your bank or your school’s IT helpdesk. Sometimes perpetrators could knowingly leave infected devices like USB drives for easy access to lure unsuspecting victims to use‌ them, leading to malware being uploaded on devices, as an example.

Commonly, however, social engineering involves digital communication methods like email, with fraudsters invariably making up scenarios and posing as trusted people to obtain information. Most dialogue will be written with a sense of urgency or fear to get the victim to reveal information more quickly, click a malicious link or download a dangerous file.

Given that these techniques take advantage of people’s inclinations to trust others, and that they involve an element of human interaction, preventing these attacks can be challenging. Skilled social engineering experts can convince even technically savvy people to hand over sensitive data with ease.

Social Engineering Attack Examples

Understanding what a social engineering attack may look like in real life can help children identify warning signs early, and report activities to the relevant authorities.

Some examples of social engineering include:

  • Fake support calls – Someone phones claiming to be a tech support engineer for Microsoft or Apple and states that viruses have been detected on your device. They convey that you urgently need to download software on your device, which ultimately ends up being malware.
  • Fraudulent notifications – Emails that appear to be from banks or other trustworthy online services urging you to verify account information due to suspicious activity. The links go to fake websites or landing pages that look convincing, but due to the perceived urgency, the user doesn’t take time to validate the page, thus entering credentials which end up compromised.
  • Social media scams – Posts on Facebook, Instagram or TikTok offering free giveaways, gift cards, or charity donations may often request an exchange for personal details like your address. These end up being used for identity theft with no rewards or products sent to you in the end.

These examples illustrate how social engineering focuses on exploiting human nature and intuition. Even if children are well-informed about cybercrime in theory, skilled manipulators can still bypass those initial barriers of uncertainty. Given how children and teenagers may not be as familiar with interacting with adults on their own, it’s crucial that parents and teachers educate them on some baseline security steps.

Why Children are Vulnerable to Social Engineering

Kids and teenagers are prime targets for social engineering attacks because most are inclined to believe others by default, making it easier for fraudsters to manipulate them. In 2022 alone, there was a 20% increase in child cybercrime, which averages about seven children per day facing online exploitation.

They don’t have the life experience or frameworks built into their subconscious minds to recognize shady behavior and younger kids in particular struggle to think about the long-term consequences of their actions. This makes risky decisions seem harmless and odd behaviors easy to overlook, particularly if perpetrators use psychological manipulation and claim to be their ‘friends’ and promise rewards of social acceptance.

What’s more, kids don’t realize how much value their personal data has and don’t always recognize the impacts of sharing it with anybody they meet, even if they appear friendly.

Tips for Effective Discussions with Kids

Having regular, open discussions with children is the most effective way to raise awareness of social engineering and prevent it from happening in the future. Teachers can engage kids with interactive training and videos to reinforce the importance of online safety, emphasizing the motivations of social engineers and how they may have hidden agendas.

On a deeper level, parents can emphasize how scams can tap into natural emotions like excitement or fear. The key is to convey the important facts but not to the point where children are frightened and upset. Younger kids have shorter attention spans, naturally, so communicating the important tips quickly and succinctly is key.

Most importantly, kids should be encouraged to ask questions openly without judgment to foster engagement and interest, as they will likely listen to active responses. Ultimately, with age-appropriate conversations happening early enough and continuing as they grow older, they’ll recognize the importance of turning to trusted adults for help or guidance.

Tips for Overcoming Attacks and Improving Security in the Future

If your child encounters a potential social engineering scam online or face to face, first calmly talk through what happened without blame. Overreacting can discourage them from confiding in you moving forward when they need help again.

Take pragmatic steps like changing compromised passwords, contacting affected account providers (e.g. banks), reporting the incident, and bolstering security with TFA (two-factor authentication) if not already enabled. Notify any websites or apps that were used fraudulently, divulging details of the attacker if known. Most importantly, turn the experience into an impactful lesson by reviewing how to spot and respond to similar manipulation tactics in the future.

Ongoing education is vital to help kids stay safe from evolving social engineering threats. Set a strong example online and advise kids to verify unusual requests and be wary of suspicious activity.

Encourage kids to use stronger privacy settings on apps and install reputable antivirus and malware software on devices, routinely scanning and patching as needed. Monitor their activities online appropriately as they mature, emphasizing how it’s okay for them to say no, stop engaging with people, and seek help from trusted adults.

It’s no secret that social engineering presents numerous complex challenges for kids growing up in an increasingly connected and digital world. However, by taking the time to have thoughtful, blame-free conversations about the issue, and understanding their concerns and behaviors, we can all help foster greater preparedness. Even understanding how social engineering works can encourage more kids to question requests before handing information over willingly. With empathy and consistency, kids can feel empowered to protect themselves and others.

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