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Math 111 Graph Transformations Worksheet

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Berdine Rita November 11, 2020 Worksheet

Most teachers are familiar with the long delay between when students complete a worksheet, and when they get their correct page. Most don’t get anything back until the next day or the next week. In the meantime, the students continue to practice incorrectly. It’s no surprise that immediate feedback has been shown to increase student performance and diligence. Unfortunately, math worksheets have no mechanism for keeping a student from moving to the next problem until after they demonstrate understanding. Good curriculum software can address this issue by giving students instant responses and strategic feedback. The use of visual cues and auditory feedback helps students quickly recognize their fraction errors and self-correct. This just-in-time feedback system eliminates practicing incorrectly, while promoting self-correction and independence.

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Thus, the math worksheets which you get for your kids should include interesting word problems that help them with the practical application of the lessons they learn. It should also present the same problem in a variety of ways to ensure that a child’s grasp of a subject is deeper and comprehensive. There are several standard exercises which train students to convert percentages, decimals and fractions. Converting percentage to decimals for example is actually as simple as moving the decimal point two places to the left and losing the percent sign ”%.” Thus 89% is equal to 0.89. Expressed in fraction, that would be 89/100. When you drill kids to do this often enough, they learn to do conversion almost instinctively.

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Teaching needs to be more than passing out worksheets. Whether you are the classroom teacher, instructional specialist, or parent, the methods you use greatly impact the level of understanding achieved by your students. Here are five reasons why math worksheets don’t work if you want students to understand math, enjoy math, and think mathematically.

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Most of even beginning algebra depends on being able to do two things–one, doing multiplication quickly and accurately in your head, two, knowing how to add, subtract, multiply, and divide fractions. You might remember a concept in algebra called ”factoring.” Factoring means breaking up into parts that are multiplied together to give you the whole. You can factor numbers. For instance, 6 factors into 2 and 3–2×3 =6. In elementary algebra we learn to factor expressions such as x^2+4x+4. This particular expression is easily factorable into (x+2)^2. If this doesn’t make any sense to you, don’t worry about it. Just trust me, if you don’t know your multiplication tables, you can’t factor. If you can’t factor, you won’t do well at all in algebra, geometry, or trigonometry.

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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.

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The same is true for mastery of working with fractions. So, in general, kids who don’t learn their multiplication tables and arithmetic with fractions usually don’t do well in math. It’s been proven that success in science depends to a great extent on success in math. So, these same kids usually don’t do well with science, either. In other words, they’re locked out of most of the growth that our economy is going to experience in the future. According to the federal government, eight out of ten jobs in the next twenty years are going to be computer related. If you want your child to have access to the major portion of jobs in the future, your child must master math. It’s that simple.

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