This week in class we started unit 2 called Radical Operations and Equations , and the first thing we discussed was how to simplify radicals. We went from an entire radical to a mixed which we already knew how to do from the previous unit so I felt pretty good about it, and then we added a variable with an exponent to the radical like When I took a look at this I understood how to turn it into a mixed radical except I had no idea what to do with the variable with the exponent. So here’s the way that I deal with that variable and some tips that will make it easier for you to remember how to deal with that variable when it pops up in more complicated questions.
1st – Find the prime factorization, when you have a variable with an exponent you also find its prime factorization. * Realize that is a squared root therefor you are looking for pairs when finding the prime factorization. What I do right away is highlight my pairs right away so that way I won’t miss them.
2nd – once the prime factorization is found you will take the pairs and square root them and put them on the left side of the radical symbol taking it “out” or “removing it from the radicand area and then taking whats not highlighted multiplying them together and putting it on the inside of the radical symbol making it the radicand.
A big “ahhh” moment for me this week was when I had come across this question:
What came to mind first was to put it in a radical and then solve from there, but this is what happened.
When Ms. Burton said that we were building on what we know about radicals and applying exponent laws and orders of operations, she really meant that we have to start applying them. So instead of going straight to a radical think about your exponent laws and BEDMAS because they will make your life easier for you and help you solve the equation. So, what you would do here is look at your BEDMAS and according to that it says to get rid of your brackets first, and when you look to do that you realize that you will have to distribute the exponent 6 onto your exponents. At this point you should realize that hey, multiplying the exponents together is the same as the power law in the exponent laws, and that’s where the connection comes in. Below is how to take all of these steps and apply them to your equation so that you can solve your question.
This is a question that I had a brain fart on and sought out to be more tricky than what it really was.
Since I had been looking at questions that looked more like these two questions below, I was exposed to something new.
It was soon after that when I realised that, the way you figure out this question is the same as the other two types of questions above. So… like the two questions above I would write down all the perfect cubes up to ten for the first one and then perfect squares up to ten for the second question. Wheras for this question I would write out all of the perfect fours up to ten, although I’m pretty sure you won’t need to do it all the way up to ten every single time but it’s still very useful. By doing this step your life will become a lot more efficient when it comes to radicals.
The next step is to look at your question and then look at your chart to see if any of them match up.
And there you go question solved, because the two numbers from the radical matched with the two numbers on the chart.
Tips for the future:
* The chart will make your life soo much easier if you continue to use it, and the more you use it the more you will start to memorize the chart in your head.
* This example applies to any other number taking up the space as your index in your question. It doesn’t matter what number the same rules apply.
Measuring out all of the sugar that is added into the products below helped me see how big the amount actually is. Knowing that the recommended intake for females is 30g a day and most of the items below are half if not more than how much I should be having in a days worth of sugar was shocking. Next time I have one of these items I will take into consideration how much sugar there is, how bad it can be for my health and choose to go for a healthier option.
Putting ourselves in the shoes of a Canadian living in Winnipeg before 1914 was of great significance to me. It helped me get a more in depth understanding of how life was like. The different similiarites and differences that I was able to point out helped me get a feel of how society worked back then in comparison to ours today. For example one of the similiarities that I noticed looking at the pictures was what we did for recreation. Each city or province that was assigned to our different groups had something for recreation. The city my group was focusing on was Winnipeg, and what I had noticed was that they went swimming in the local lakes, they went camping, they played sports and in Winnipeg it was mainly curling.These are all things that have stuck with us today and continue to carry on. Some differences that I noticed was of course the way we dressed, technology, and architecture, but what really stood out was the sense of nationalism.There was Union flags on the tents in one pictuere showing how loyal they were. I think we can say that we don’t see many of those during our society today. Overall I think this activity was very creative and effective because it was easy to connect to and get a better idea of life in Canada back then. It’s important that we know how things have changed so that we can see the progress of how much our country is growing along with the people within the country. Canada has become much more established and is world known now, more than a hundred years ago or more and it is important that we acknowledge and appreciate it.
The six Core Competencies are skills that we incorporate into our daily lives everyday without knowing it. By looking at the different autobiographies in this activity, I was able to have a deeper understanding on how people use these Competencies and how one person can acquire more than one. All of the Canadians I read about used these competencies as sort of a guide to their success. Whether it was flying to the moon, being a public speaker, or a member of parliament, they all did something that tied back to one of the Core Competencies. This activity helped me realize that I can also incorporate the Core Competencies into my everyday life, whether it’s at school or at home. A way I can do this is that once in a while I can sit down and reflect on something I did and see how it connects with the Core Competencies. If it does then I will know that I’m heading towards the right direction, and if it doesn’t I can find a way it can.
The topics we talked about this week were problems we are facing today. The one that really stood out to me was food waste. 40% of all the food that is produced in North America is wasted. This sounds crazy to me but then again I’m not surprised because of the amount of food that is wasted by me in a day. While we were watching a documentary about food waste in class, I became more aware about this issue, and how it can be solved or rather used in different ways. We can turn the food we waste into energy, compost it, and use up the parts of the food that we normally don’t use. For example the ends of bread, the companies that make sandwiches end up wasting it because they can’t use the ends to make sandwiches. Imagine all of that bread just being thrown away and not used for anything else. Well, we can change that, and in some parts of the world people found a way. During the documentary we watched in class, I remember a brewery that used the ends of bread and made beer out of it, and once consumers tasted it, they really liked it. This shows that something can be done after all, and that we just have to try a little harder. Im really glad that we went over this topic in class, because it made me more cautious about how much food I should take and were I should put my waste if I have any leftovers
The Litter Tree will be placed in the front foyer in a big pot. This tree is no different from any other except with a slight distinct trait. This tree will be decorated with litter that is found within our community. This includes the roads, rivers, and parks in Poco. A group of us will go out to all of these areas and gather enough litter to cover the tree. This litter will be stored in a safe area, particularly my garage, where it will then be sorted and carried out to the school. As for the tree, it will be a medium sized tree enough to be easily carried by a group of people and suitable to fit in the foyer. I will have an arranged vehicle to deliver the tree to the school where a handful of students including me can start decorating. This should take no longer than 45 minutes to an hour, depending on how creative we get. After the message has been sent we can dispose of the litter to the right place and plant the tree somewhere within our community. We will make sure to gather items everyone uses during their day to day lives so that students can connect with the tree. This tree is an amazing way to raise awareness on how nature is being overcome by human wastefulness and carelessness. This tree will urge students to consider the consequences of our consumerist lifestyles.
For this reflection I have chosen to reflect on the whole wheat blueberry muffins lab. This is because it was the first lab where I felt more comfortable cooking in a school based environment. I really enjoyed this lab because I felt like I had done everything properly, whether it was my cooperative attitude, to making sure my hair was tied back.I also really enjoyed this lab because of how well my team and I worked together. Every member of my group including me was super engaged throughout the whole lab in many different ways. We were all helping one another out with our different tasks. For example, if someone was dish dryer, another one of us would help them out so that we could be more efficient. Although we did run into a bit of an obstacle, seeing as one of our group members was away that day.We demonstrated great team work by communicating and adapting to our circumstance, without it becoming an underlying issue throughout the lab. Overall, I was super pleased with how our muffins turned out, appearance and taste wise. It was nice having a good end result because I haven’t ever made muffins that look and taste that well at home. One thing I would do different next time is to make sure I have fun because although its good to be serious and efficient, its nice to just relax and have a good time with my group members as well.