Geometry
Unit 3: Area, Volume and Measurement Reflection:
1) What Content/ Skills have been the most interesting to you?
- Skills ( how): STATS function for cubic regression to fit data, using a table to visualize data, and interpreting data.
- Content ( what): Volume, area, surface area, and optimization problems.
2) How has this Content/ Skill helped you grow mathematically?
- The skills I have obtained are visualizing 3-D solids, forming an equation, ( generalizing), table, communicating ideas, and testing different cases.
1) What Content/ Skills have been the most interesting to you?
- Skills ( how): STATS function for cubic regression to fit data, using a table to visualize data, and interpreting data.
- Content ( what): Volume, area, surface area, and optimization problems.
2) How has this Content/ Skill helped you grow mathematically?
- The skills I have obtained are visualizing 3-D solids, forming an equation, ( generalizing), table, communicating ideas, and testing different cases.
Problem of the Week Reflection:
Problems of the week have helped me grow mathematically in many ways but one is just to dig deeper in thought or think very simply about the problem placed in front of you.
Problems of the week have helped me grow mathematically in many ways but one is just to dig deeper in thought or think very simply about the problem placed in front of you.
POW #4 : Rubik's Cube
Unit 2 Reflection: Shadows, Similarity and Right Triangle Trigonometry:
Q1: What has been the work you are most proud of in this unit?
My work I am most proudest of in this unit is my comprehension book entrees ( Starters, Problem Solving and Notes.) The starters helped me through the solving process of accomplishing the answer, although it was never easy, I was able to look through my step by step notes of solving the equations. Following up with the daily entrees has helped me progress in my understanding of shadows, similarities and right triangle trigonometry.
Q2: What skills are you developing in geometry/math?
The skills I am developing are the processes of trigonometry and how to solve the different rules for trig. Such as Cos(A), Sin(A) and Tan(A). I took notes on the step by step rules to solve and complete the given equation.
Q3: Similarity (ratios) or trigonometry. Explain what it is. Provide an example of how it is used in mathematics to solve problems.
Similarity is when two objects are identical in many ways or have corresponding parts or sides and trigonometry is the study of the measures of triangles. Trigonometry relates to similarity with congruence and proportions. These both can be associated with real world objects such as the Louvre Pyramid, if you are able to find up to two measurements or an angle. Cosine, Sine or tangent can be coordinated into solving the missing measurement.
The Burning Tent
Question 1: Once you have a minimal path, what appears to be true about the incoming angle and the outgoing angle? A: The incoming isn't much different from the outcome. Question 2: Why is the path from points Camper to Tent Fire the shortest path? Briefly Explain. A: It's shorter so there is not a detour to the river, it's a straight line. Question 3: Where should the point River be located in relation to segment Camper to Tent Fire and line AB so that the sum of the distances is minimized? A: Straight line, we are just reflecting line C. |
Snail Trail Graffiti
Question 1: What appears to happen to every other point when you move point D? Why is this? A: All the points move together when one is being moved because the are constantly reflecting. Reflection: How did you construct the “snails” and the reflective plane? A: I constructed the snails and the reflective plane by making six points and reflected them around one point. What did you notice about the “snails” and their graffiti trails? What type of symmetry does your design exhibit if you ignore the color? A: This design exhibits reflection symmetry. |
Shea Toner
Tessellation Write-Up For my tessellation I chose my theme to be “colorful elephants” I chose this theme simply because that’s what is displayed in my piece of work. I started my tessellation with a triangle rather than a square. From there I drew my design onto one side then shifted the design, after cutting, to the other straight edge. I discovered this shape from Google Images therefore it was not my own piece but I have expanded off of just the tile to make the full tessellation. The transformation I made were moving the bottom cut out design to the right side. Then repeat that process on the left side. With that given the elephant rotates and matches up to where it makes a clean cut tessellation. We were asked whether we thought this project was math or art related. I thought the tessellations could go both ways, in the visual piece I see art but if you take the image deeper math is coordinated into it. I lean more so towards it being art because art is found in almost everything. |