Equations


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In the midst, of homeschooling the children are learning more about equations. Although, teaching them can be interesting to see what they can get right with working with the equations. Most people do not believe that we use equations in everything that we do in our life. We use equations for a variety of things. Telling time, distant from one place to another, cooking in the kitchen, plotting out a garden, and many other things.

Of course, the equations that we are working on are simple. However, if you are good with math these are not challenging enough. One of the equations we are working on today is

(3x^2y^6)^7
3^7(x^2)^7 (y^6)^7
2,187x^14y^42

Simple for those who understand math equations however, when you are teaching math equations you have to do it step by step for the children to learn the process of finding their answer without the help of a calculator.

3a^n (a^n + a^n-1)
3a^n × a^n + 3a^n × a^n-1
3a^2n + 3a^2n-1

Math can be fun, and easy to learn when you have the right person teaching you the ropes of the equations. Enjoying math is not easy for most people because they think they are always going to get the wrong answer. However, when you second guess yourself you will always get the answer wrong because of the second guessing.

Mean, Mode, and Median


Does all statistical data have a mean, median, or mode? Why? When is the mean the best measure of central tendency? When is the median the best measure of central tendency?

The mean is an average of a set of data and in order to find the mean you would simply add the numbers together and divide by the total number of inputs that were available to find the mean of those numbers. As a homeschool teacher I have to use this to find the mean of one of the students grades by adding all of the grades together and dividing the numbers by how many assignments were done. The median is the middle number that is given within the set of data and has been organized in ascending order to give me the median of the assignments. The mode of this example would be the number that occurs more frequently in the data. Statistical data does not always have a mean, mode, or median but should have at least one of these statistical measures. Using average is the best measure of a central tendency because it depends on the set of data and whether or not it has outliner’s. Furthermore, if there are not many outliner’s mean can be a good measure but if outliner’s are present within the data median is the better measure to use because it would not skew the information based on the outliner’s data. In contrast, most statistical data has a mean, median, mode, or all three, but there are some instances in which certain calculations cannot be made or are arbitrary.