Mathematical Reflection 1

Recently, in math we've been developing our understanding of polygons and angles. Now we've finished that unit, so I'm here to reflect on my learning through the lessons and questions. One major thing we talked about was the answer to this question, (1) "what are the common properties of all polygons." We were reminded several times, and constantly came up with the answer of, "all polygons must have closed sides, there may not be any intersecting lines, there also may not be any curved lines, meaning all sides are straight."
(2) "What are the measure in degrees tell you about an angle?" The measure in degrees tell us how big or how small the angle is supposed to be. It can also tell you whether the angle is obtuse, acute, or right. "What are some common benchmark angles?" Some of the more commonly used benchmark angles are, 45°, 90°(a right angle),180°, 270°, and 360°.
(3) "What strategies can be used to estimate angle measures?" One strategy someone could use to estimate angle measures, is to use benchmark fractions, you could use them by asking yourself, "is this angle greater than or less than 90°?"
"What strategies can be used to deduce angle measures from given information?" If you are trying to find the total angle sum, you just have to multiply the size of the angles with the number of sides the shape has. Just remember that the greater the angles in the shape is, means that there are more sides. But if you wanted to find the size of the angle without actually using a protractor to measure it, then you can divide the total angle sum with the number of sides. Continuing on with that, if you wanted to find out the number of sides of a shape, you could divide the sum of the angles with the size of the angle.
The last question is, "what strategies can be used to find accurate measurements with tools." Well, the tools you can use to find accurate measurements is either a protractor or a angle ruler. Usually, a protractor has two sets of numbers on them, so pay attention to your measurements, keep on thinking, "is this angle greater than or less than 90°."

This picture of a protractor, was taken from Creative Commons.

These are a few of the types of angles, also taken from Creative Commons.