Published at Friday, October 04th, 2019 - 05:29:40 AM. Kids Worksheet. By Eglantine Adam.
If a student is doing a worksheet of 40 problems all about the order of operations, and the student has a rule confused, then every problem will be missed. But the bigger concern is that the mistake just got practiced 40 times. It just became ingrained in that student has mind to forever cause trouble unless it can be corrected. I have had many high school Algebra students enter class thinking they know the correct order of operations, but we quickly learn that something is wrong. Digging a little deeper, we discover that they learned the order of operations incorrectly, although they will swear they are doing what they were taught. In reality, they have spent the previous couple of years practicing incorrectly. Their answers got marked wrong but no one took the time to find out why. And the damaged was never repaired.
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--2x3 =6. In elementary algebra we learn to factor expressions such as x^2+4x+4. This particular expression is easily factor-able into (x+2)^2. If this does not make any sense to you, do not worry about it. Just trust me, if you do not know your multiplication tables, you can not factor. If you can not factor, you will not do well at all in algebra, geometry, or trigonometry.
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