Problem: Write an article based on this summary: Read the problem. Write the problem as a function. Determine the domain. Determine the range.

Answer: Let's say you're working with the following problem: "Becky is selling tickets to her school's talent show for 5 dollars each. The amount of money she collects is a function of how many tickets she sells. What is the range of the function?" In this case, M represents the amount of money she collects, and t represents the amount of tickets she sells. However, since each ticket will cost 5 dollars, you'll have to multiply the amount of tickets sold by 5 to find the amount of money. Therefore, the function can be written as M(t) = 5t. For example, if she sells 2 tickets, you'll have to multiply 2 by 5 to get 10, the amount of dollars she'll get. To determine the range, you must first find the domain. The domain is all of the possible values of t that work in the equation. In this case, Becky can sell 0 or more tickets - she can't sell negative tickets. Since we don't know the number of seats in her school auditorium, we can assume that she can theoretically sell an infinite number of tickets. And she can only sell whole tickets; she can't sell 1/2 of a ticket, for example. Therefore, the domain of the function is t = any non-negative integer. The range is the possible amount of money that Becky can make from her sale. You have to work with the domain to find the range. If you know that the domain is any non-negative integer and that the formula is M(t) = 5t, then you know that you can plug any non-negative integer into this function to get the output, or the range. For example, if she sells 5 tickets, then M(5) = 5 x 5, or 25 dollars. If she sells 100, then M(100) = 5 x 100, or 500 dollars. Therefore, the range of the function is any non-negative integer that is a multiple of five. That means that any non-negative integer that is a multiple of five is a possible output for the input of the function.

Problem: Write an article based on this summary: Make another batch of salsa without any spice. Refrigerate your salsa if you need to make an ingredient run. Combine your two batches. Simmer leftover salsa before canning or freezing it. Make sure your recipe is suitable for canning. Thaw your salsa in the refrigerator.

Answer: If you want to stick with your original recipe, your best bet is to make another batch without the jalapenos, cayenne, or other spicy ingredients. Roast your tomatillos, dice your onions and tomatoes, chop your cilantro, squeeze your citrus, and do any other prep according to your recipe. If you're serving salsa at a party, it might be best to stick to a recipe you know. Tweaking your salsa by adding new ingredients is like an experiment, and you might not want to use your guests as guinea pigs. You probably bought the amount of ingredients needed for one batch, so a quick trip to the grocery store might be necessary. If you need to go to the store, just cover your salsa and store it in the fridge. Acid in the salsa helps prevent bacterial growth, but it still shouldn't be left out for more than a couple hours. After you've purchased and prepped ingredients for the second batch, mix them up with your super spicy salsa. If you filled up your largest mixing bowl with the original batch, you might have to get creative. If you have a large stainless steel roasting pan or saucepan, try pouring half of each batch into it. You should then have enough room in your mixing bowl to add the rest of the second batch. Avoid aluminum products, which will react with the acid in the salsa and leave your dish with an unpleasant metallic taste. You could also use the largest freezer bags you have to mix your batches. The main issue with doubling your batch is that you're left with an insane amount of salsa. Whether you plan on canning or freezing your leftover salsa, you'll need to simmer it to reduce water content and kill germs, which is an essential part of the canning process. Simmer your salsa uncovered in deep saucepan over low heat, and stir frequently. Depending on your salsa's water content, simmer it for up to 60 minutes, or until you've achieved a thick consistency. Salsa needs to be acidic enough to be safely canned, but not all recipes contain enough acid. Your recipe should note whether it's suitable for canning. If you're not sure, just freeze it to stay on the safe side. You can store frozen salsa for up to six months. If you accurately doubled the ingredients other than peppers in a suitable salsa recipe, your double batch should still be acidic enough for canning. It's vital to accurately double the acidic ingredients without overdoing the non-acidic ingredients. If you're not sure about your accuracy, just freeze the leftovers. When the time comes to thaw your salsa, the fridge is your best option. Slowly thawing it in the refrigerator will help prevent it from becoming too watery. Most likely, it will still have a little more water content that you want, but you can just strain it to remove excess liquid.

Problem: Write an article based on this summary: Ask participants to bring notes/ideas to the meeting. Specify particular goals of the meeting. Delegate tasks. Mediate conflict.

Answer: Your collaboration will go much more smoothly if each member attends the meeting having already considered what they might contribute to the meeting's agenda. Even asking others to bring questions will help facilitate the discussion. The collaboration will have a springboard if you can begin the meeting knowing your group's ideas, questions, and concerns. Don't assume everyone in the room knows everyone else's name or is familiar with everyone's work or areas of expertise. Even though it might seem unnecessary, go around the room and have all attendees introduce themselves and speak for a moment or two about their lesson planning goals. You can also do a quick icebreaker at the beginning of the meeting to help everyone get to know each other better. Avoid going blindly into the collaboration. Prepare at least a minimal outline of the meeting and what you hope to accomplish. Even if your collaborating goal is somewhat vague, such as "incorporate technology into the humanities classroom," this will at minimum give your meeting a general direction. Have handouts ready to give to the group. It may help if you break the meeting up into several intervals. For example, you could devote 30 minutes to one goal, 30 minutes to another goal, and an hour to the final goal. After the allocated time is up for each goal, you can all come together and go over what you've accomplished. Don't be afraid of delegating tasks. Be sure to have at least two people taking notes in case one person loses them. If time is a concern, ask someone to keep an eye on the time for the meeting. Ensure that all attendees participate and contribute ideas, suggestions, and concerns. If quieter group members aren't participating, specifically ask for their input on an area of their particular expertise or interest. Take particular care not to dictate the meeting. While there needs to be a definitive meeting facilitator, group members will become resentful if you are condescending or inflexible. Keep a professional yet open atmosphere. Sometimes even the most professional educators cannot find common ground on particular issues. Senior faculty might resent taking suggestions on how to revamp their classes from new teachers. Differences in departmental funding might create unforeseen tension. Some people can simply be abrasive with their words. It's vital to troubleshoot these issues effectively to keep your meetings positive and running smoothly. Acknowledge the conflict without making the parties involved uncomfortable. If possible, do not address the problem publicly and risk embarrassing colleagues or making the situation worse. Wait until you have privacy to directly address the issue. If the situation is escalating and cannot wait, announce a short restroom break and request to speak quietly with the dissenting parties. Even if you cannot reach a conclusion to the conflict during the break, this will provide some space and time for the dissenting parties to reflect on the situation and cool down.

Problem: Write an article based on this summary: Open your mind to all paths. Look back on your past. Think about what you enjoy. Evaluate what you're good at. Think about times you were successful. Write the story of your life. Ask around.

Answer:
Because you are likely blind to what some of your talents really are, a good place to start when evaluating your talents is to just open your mind to the possibilities. Keep in mind that talents extend beyond just playing the guitar or dancing like a pro. Talents come in all shapes and sizes and extend into many areas of life. For example, being able to read emotions very accurately is a very useful talent. As you reflect on yourself in search of your talents, start by looking at your past. Look at the things that you've done. Look at the things you've enjoyed. Look at the times when you really excelled. Ask yourself questions like "What am I most proud of that I've done?" or "When was I so proud that I didn't care what anyone thought?" One good thing to think about was what your childhood was like. What did you do a lot as a kid? What did you enjoy? What were you known for? Sometimes this can reveal some of your deepest talents and certainly will reveal interests that can be probed further. Think about your hobbies as your personality is made by them they are the things you do regularly and your hidden talent is that which you can do better than everyone so focus on your hobbies and how you do them every single step. Another thing you can think about are the times in your life that you've been challenged. Think about the tough situations that you've had to deal with. Times of trial can often reveal your hidden skills. For example, when your dad had a heart attack, maybe you kept your head and called 911. Staying alert and calm in an emergency is a really useful talent. The things that make you happy can also reveal your talents. Think about the things that you love to do. Do people ever give you compliments on it? Do they ever ask for your help with it? You might not think of it as a talent but it probably is. Do you ever completely lose track of time? You start doing something and you just don't even notice time passing? This might hint at your talent. For example, maybe you get lost when you're modding your favorite video game. This might be one of your talents. Listen to how you talk. Do you ever find yourself rambling to your family or your best friend about this subject that means so much to you? This might be another hint at a talent you have. Write down everything that you enjoy. This will help you to see what things you truly enjoy doing and give you an opportunity to think about why you enjoy these things. For example, you might enjoy playing fantasy football or walking in nature. Doing these things may allow you to use the special knowledge that you have about these subjects. Now, there's a big difference between what you enjoy and what you're good at. You might think of your talents only being things that you love doing, but it's important to remember that your talents are often things you don't enjoy or things you don't even think about. This is why it's important to take a long hard look at what you're actually good at. Think about things that come naturally to you. Things you don't struggle with. Do you ever find yourself telling someone, "Nevermind, it's easier if I do it" or "Here, let me help you with that"? Do you find yourself correcting people? These behaviors usually indicate something that you're good at and know a lot about. Look back on your life and think about times where you really succeeded, times where you felt about to burst with the pride of your success. This can indicate a talent you possess. For example, maybe you helped your boss rearrange and reorganize his office and helped things at your work run so much more smoothly. Organization is a very useful talent. This exercise can help you reveal not only the talents that you have but also talents that you should consider developing. Write about what you were like as a kid, what you liked to do before and after school, what your favorite subjects were. Write about growing up. Write about where you're at in your life now. Now, write about your future. Write about where you want to go. Write about what you want people to say at your funeral. You may also want to write about what you would like to do with your time if money was not an issue. What activities would you most like to do if you did not have to worry about money? Considering this can help you to identify your interests and talents. This exercise reveals your priorities and what you really think is important about yourself. It can also reveal what you want for your life, helping you focus on talents you should cultivate if you want to achieve your dreams. Having an outside perspective, other people may find it easier to see what you're good at. Ask around and people will usually be happy to tell you what they see as your strengths. Be sure to talk to people that know you well but also people that barely know you. Both will see you in different ways and the differences that they see can tell you even more about yourself.