*Desmos Project *

**Reflection Questions:**

- I originally decided to graph/draw a flower. Unfortunately as I finished the photo it got deleted. I tried to think positively about the incident and ended up just getting more familiar with Desmos and different types of graphing while creating my second picture. I decided to go with the snowman because that is what I did for my tessellation. I decided to keep to a pattern of winter. I used a lot of circles in my photo and had to use different sizes. I experimented by adding the tree witch I wasn't going to add in the beginning. Creating the nose was difficult for me because the quadratic curve was so huge and I had to work on decreasing the size and flipping it around by switching the places of X and Y in the equation. I got help from peers and help from my teacher. I learned I do better and learn more by asking questions instead of struggling for a long time.
- Using Desmos and getting familiar with different functions helped me get familiar with bigger function families and their transformations because I was able to realize that there were a wide variety of lines you can graph. My mind expanded into a whole new place with a huge variety of functions. I got familiar with circle functions because my picture was made up of them. I learned that circle functions contain both X and Y. I learned that circle functions can change size and move left or right. I also learned about inequality statements. I learned that you can shade a certain part of your graph and you can do this by writing a inequality. You need to use < or = to be able to shade a certain part.

*Unit 3: Area, Volume, Measurement*

**Reflection:**Throughout this unit we worked on many different skills that helped us comprehend shapes and gain a better and deeper understanding. The content/skill that was most interesting to me was area and volume. I enjoyed learning this skill because it helped me open my eyes and dig deeper into shapes and their space.

I grew mathematically with these skills because it helped me be able to work with 3D shapes. Working with 3 dimensional shapes helped me by challenging me to go beyond simple equations like bXh, and helped me evolve into finding area and volume of a wider variety of shapes.

**Section 1:**

**Q1:**The work I was most proud of in this unit was my POW 2. In this POW we were given four rods of various lengths. We had to find as many similar triangles as we could using four original rods that were given to us and two extra rods. I am most proud of this work because I was dedicated to staying engaged and I worked my hardest to understand the skills that were needed to solve the POW. I was more independent during this POW instead of relying on others for help. I looked up equations to help solve the problem so I stretched my problem solving skills by doing so.

**Q2:**The skills I am developing in geometry/math are helping prepare me for my future as a doctor. These skills help me work on being precise in my answer. I am developing the skill of research. Lately I have been using websites that are designated for math help. Research is a really important skill because it allows you to expand your knowledge and learn more from websites and text books. A lot of times the sites I look at have different ways to come up with a solution that can be more time efficient or accurate.

**Q3:**A topic I have expanded my knowledge on that I have become more comfortable with this years is trigonometry. Trigonometry is the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles. In a simpler form, trigonometry is a method of measuring and providing information about a triangle.Throughout trig you can discover unknown angles, sides, and similarity between triangles. Trig is an important skill to master because it can effect your adult life. For example, if you are a builder you may need to be able to write trig ratios to create scale models for architecture. Trig helps you be accurate in your measurements.

**Section 2:**

**Problem of the Week Reflection:**The Problem of the week has helped me grow mathematically because I am able to connect with the math criteria. I get a better understanding of the topic when I am able to work with it and problem solve. It is important to be challenged by the criteria because you become more familiar with it. Before the pick up triangles POW, I didn't have a good understanding on similar triangles. After I finished the POW I was able to create similar triangles.

*Semester 2: Pick Up Triangles POW*

*Burning Tent Lab*

*Lab Questions:*

**Question 1:**Once you have a minimal path, what appears to be true about the incoming angle and the outgoing angle?

**Question 2:**Why is the path from points Camper to TentFire' the shortest path? Briefly explain. (Think about the shortest distance between two points.)

**Question 3:**Where should the point River be located in relation to segment Camper to TentFire' and line AB so that the sum of the distances is minimized?

1: Both the incoming angle and outgoing angle are very close in size.

2: The path from the Camper to the TentFire is shortest because there is only one direction that the Camper has to travel instead of in two different directions to reach the river then Tent.

3: The point river should be located in the middle of points Camper and TentFire on line AB. It should be located there to create the minimum distance the camper has to travel so that the camper can cover more distance by running at the angle of getting closer to the Tent and the River.

*Snail Trail Lab*

*Geogebra Reflection*

Question 1: When I move point D, every other point I created stays perpendicular to each other and moves in the exact same way/pattern. All the points stay the same distance away from each other even when in motion. While every point moved, the points would reflect each other. To construct the "Snails," I used the "reflect object about line" tool, and this helped me reflect the colored point that I started with clockwise, creating and resulting in more snails. I than hid the points, so that the letters were gone. Only the snails remained. I had to make sure when I dragged Point D, that all the letters reflected each other. I had to select "Trace On" tab, and this helped me create the snail trails. When I dragged Point D, more points would emerge and that's what gave it the trail effect. I noticed at the end, every trail I created was a mirror image of all the other trails. My final and piece was a example of reflectional symmetry and line reflection.