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Math 132 Worksheet On The Dot Product Answers

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Gay Kayla October 11, 2020 Math Worksheet

How Do You Find Points In A Graph? This set of numbers (2, 3) is an example of an ordered pair. The first number refers to the value of x while the second number stands for the value of y. When ordered pairs are used to find points on the grid, they are called the coordinates of the point. In above example, the x coordinate is 2 while the y coordinate is 3. Together, they enable you to locate the point (2, 3) on the grid. What’s the point of all this? Well, ever wondered how ships describe exactly where they are in the vastness of the ocean? To be able to locate places, people have to draw a grid over the map and describe points with the help of x and y coordinates. Why don’t you give it a try? Imagine left side wall of your room to be y axis and the wall at your back to be the x axis. The corner that connects them both will be your origin. Measure both in feet. If I say stand on coordinates (3, 2), would you know where to go? That means from the corner (origin) you should move 3 feet to the right and 2 feet forward.

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Rather than using worksheets, a better method is to use individual size white boards and have the child writing entire facts many times. Having a child writing 9 x 7 = 7 x 9 = 63 while saying ”nine times seven is the same as seven times nine and is equal to sixty-three” is many times more successful than a worksheet with 9 x 7 = ___ and the student just thinks the answer once and then writes that answer on the duplicate problems. I will admit that there is one type of worksheet that I used in the past and found relatively beneficial, although it had a different kind of flaw. For my Basic Math, Pre-Algebra, and Algebra classes, I had several books of ”self-checking” worksheets. These worksheets had puns or puzzle questions at the top, and as the students worked the problems they were given some kind of code for choosing a letter to match that answer. If they worked the problems correctly, the letters eventually answered the pun or riddle. Students enjoyed these worksheets, but there are a couple problem areas even with these worksheets. Some students would get the answer to the riddle early and then work backward from letter to problem answer, so they weren’t learning or practicing anything.

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I believe in the importance of mathematics in our daily lives and it is critical that we nurture our kids with a proper math education. Mathematics involves pattern and structure; it’s all about logic and calculation. Understanding of these math concepts are also needed in understanding science and technology. Learning math is quite difficult for most kids. As a matter of fact, it causes stress and anxiety to parents. How much stress our kids go through? Parents and teachers are aware of the importance of math as well as all of the benefits. Taken in the account how important math is, parents will do whatever it takes to help their struggling children to effectively manage math anxiety. By using worksheets, it can play a major role in helping your kids cope with these stressful. This is a good way to show our children that practicing their math skills will help them improve. Here are some of the advantages using math and worksheets.

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Granted, that will always be a tough uphill battle for math to win out over most video games, but the point is, students today are much more immersed in technology than ever before. So even if you need to pass out a math worksheet to review concepts and formulas, it will greatly benefit your cause if you design the worksheet to be as stimulating as possible.

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Another problem with almost all worksheets is that they don’t prevent incorrect answers. Self-checking worksheets just let the student know they did something wrong–after the fact. I am a firm believer in the concept that, if at all possible, learning should be structured in small chunks in such a way that there is very little possibility for error. Worksheets often allow for mistakes to be made and then to be repeated many times. A mistake that gets practiced is extremely difficult to correct. This especially happens when worksheets are used as time fillers or baby sitters and the work isn’t really being supervised.

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Today we all know that benefits of math are considerable. Math is not a subject one learns by reading the problems and solutions. American children have very little practice with multi-step problems, and very few opportunities to think their way in to and through problems that don’t look like ’all the others’. With a packed curriculum and the increased emphasis on testing, our children are taught tons of procedures – but procedures disconnected from when to use them, and why. Sustained thinking – the key ingredient to math success – is painfully absent in too many math classes.

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