Unit 4: Desmos Drawing and Function Families
https://www.desmos.com/calculator/swul76lryv
Reflection
a. How did you go about drawing this image?
To draw this image, I started with the sides. I used one large circle, and experimented with where it would be. Then I made the bottom curves of the wings with more circles. I kept messing up, and it didn't look right, so a couple of times I had to basically start over. I used a batman logo for reference to draw it, but then I had to add things to the design to meet all of the requirements.
b. How did using Desmos and creating this drawing help you understand function families and their transformations?
Using desmos to draw helped me to understand functions better because it really made me see what they looked like, what they could look like, and how to make them. It also helped me understand the equations better, for example what h and k mean in a circle. I wasn't originally sure how to incorperate a cubic or quadratic function into the drawing, but it worked out and made the drawing look cooler.
a. How did you go about drawing this image?
To draw this image, I started with the sides. I used one large circle, and experimented with where it would be. Then I made the bottom curves of the wings with more circles. I kept messing up, and it didn't look right, so a couple of times I had to basically start over. I used a batman logo for reference to draw it, but then I had to add things to the design to meet all of the requirements.
b. How did using Desmos and creating this drawing help you understand function families and their transformations?
Using desmos to draw helped me to understand functions better because it really made me see what they looked like, what they could look like, and how to make them. It also helped me understand the equations better, for example what h and k mean in a circle. I wasn't originally sure how to incorperate a cubic or quadratic function into the drawing, but it worked out and made the drawing look cooler.
Unit 3: Area, Volume, Measurement
Q1: What content/skills have been the most interesting to you?
Q2: And how has this content/skill helped you grow mathematically?
 The most interesting skill I have learned was all of the graphing calculator skills. It was interesting to learn there was an easier way to do harder problems, and not have to do as much work.
Q2: And how has this content/skill helped you grow mathematically?
 This skill has helped me grow mathematically by giving me different ways to solve the same problem, and takes a lot less time to complete. It is useful for all kinds of math problems, such as generalization, functions, and using graphs and tables. With all of them is is useful to know how to use a calculator to solve it.
Unit 2 Reflection: Shadows, Similarity and Right Triangle Trigonometry
Q1: What has been the work you are most proud of in this unit?
Q3: Choose one topic: similarity (ratios) or trigonometry. Explain what it is. Provide an example of how it is used in mathematics to solve problems. State an application of the topic in the adult world that interests you
 I have been doing very well with quizes this semester, I have gotten a 100% on all three of the ones we've had so far.
Q3: Choose one topic: similarity (ratios) or trigonometry. Explain what it is. Provide an example of how it is used in mathematics to solve problems. State an application of the topic in the adult world that interests you
 Trigonometry is the study of the measures of triangles.
 It can be used to find the measurement of an angle using only the height and the distance. Or, in reverse, it can be used to find an unknown side length using one angle and a known side length.
 Trigonometry is used in blood spatter analysis. In this field of work, it is important to know what angle the blood came from, as well as how tall the injured person is.
Problems of the Week
Problem of the Week Reflection: Problems of the week have helped me grow by thinking differently than normal, and have been good practice for what we are learning in class.
POW #3

POW #4

Geogebra: Burning Tent Lab
1. Q: Once you have the minimal path, what appears to be true about the incoming angle and the outgoingangle?
A: Once I have the minimal path, the incoming angle and the out coming angle are about the same measurements.
2. Q: Why is the segment from Camper to TentFire’ the shortest path? Briefly explain.
A: The segment from Camper to Tentfire is the shortest because it's a direct path without anything in the way.
3. Q: Where should point River be located in relation to the segment Camper to TentFire’ and line AB so that
the sum of the distances is minimized?
A: Point River needs to be on line AB closer to Tentfire and further from Camper, but still between the two. It is on the intersection on AB and Camper Tentfire'.
A: Once I have the minimal path, the incoming angle and the out coming angle are about the same measurements.
2. Q: Why is the segment from Camper to TentFire’ the shortest path? Briefly explain.
A: The segment from Camper to Tentfire is the shortest because it's a direct path without anything in the way.
3. Q: Where should point River be located in relation to the segment Camper to TentFire’ and line AB so that
the sum of the distances is minimized?
A: Point River needs to be on line AB closer to Tentfire and further from Camper, but still between the two. It is on the intersection on AB and Camper Tentfire'.
Geogebra: Snail Trail Lab
Reflection: I made this design by reflecting points across an axis and using symmetry to create a design made to look like a snail’s graffiti trail. I noticed while making this that each side of the pattern looked exactly the same and exhibits rotational and hexagonal symmetry. The order of rotation is 6.