Wednesday, April 24, 2013

Translations, Rotations, Reflections, and Glide

Translations- or slide- moves every point of the plane a specific distance in a specified direction along a straight line.

Rotations- or turns- congruent figures that result from a rotation point about a point. A rotation is a transformation of a plane determined by holding one point-the center-fixed and rotating the plane about this point by a certain amount in a certain direction.

Reflections- or flip- mirror image, fold in half-get reflecting line and drawing the image gives the mirror image or image. A reflection reverses the orientation of the original figure

Glide Reflection- A glide reflection is a transformation consisting of a translation followed by a reflection in a line parallel to the slide arrow.


This video will help show you how to do translations, rotations, and reflections!

Volume

What is volume? It is how much a container will hold or how much space a three dimensional figure contains.

How do you find the volume of a right rectangular prism?

Volume= length x width x height
How do you find the volume of prisms and cylinders?

Volume= Base x height

or V=3.14(pie)r squared x height

How do you find the volume of pyramids and cones?

Right pyramids- V=1/3 x base x height

Right circular cones- V= 1/3 (3.14 x r squared) h


How do you find the volume of a sphere?

V= 1/3 (4 x 3.14 x r cubed) r


Surface Areas

The equation to find the surface area of a right prism is SA= 2B +ph
B= area of the base
p= the perimeter
h= the height


But wait, what is surface area? Surface area is the sum of the lateral surface area and the area of the bases.


http://www.math.com/tables/geometry/surfareas.htm I found this website that has different equations for different shapes! 


This was a video that I found that was made by students! Enjoy!

The Pythagorean Theorem

What is the Pythagorean theorem? If a triangle has legs of lengths a and b and hypotenuse of length c; then c sqaured = a sqaured + b sqaured.

I found this video that will hopefully help you understand the Pythagorean theorem better!

And this video is just for some fun additional information :)

Sunday, April 21, 2013

Areas of Polygons

First of all, what is area? Well area is measured using squared units. The area of a region is the number of non-overlapping square units that cover the region.
These are just a couple of examples of some formulas and how to figure out the area for each figure shown.


Another question you may have is, what is a polygon? I found this fun video to share that will help!
How do you find the area of a rectangle?
Area= length x width

How do you find the area of a parallelogram?
Area= base x height
How do you find the area of a triangle?
Area=1/2 x base x height
How do you find the area of a trapezoid?
Area=1/2 x (base1 + base2) x height
How do you find the area of a circle?
Area=3.14 (pie) x radius squared

Friday, April 19, 2013

Introduction

      Hello and welcome to my blog! My name is Ashley and last semester I decided to start my degree in Early Childhood education here at MCC. My mom is a first grade teacher and she inspired me to be a teacher also. She loves her career and working with little kids and I want that same enthusiasm about my career. I am originally from a small town that is three hours north of Mesa. I moved down here in 2011 with one of my best friends from high school. For the first couple of years after graduating high school, I was just going towards a general degree until last semester when I decided I wanted to teach children and work with them everyday and to watch them grow and learn.
     I created this math blog for my math class and I will be posting different things about polygons and other fun things like that. I plan to keep this updated throughout my career to share new ideas and other fun things that I find!