Unit 4 - Desmos Drawing and Function Families
- How did you go about drawing this image?
This image was created by using sets of equations and put them onto a grid that makes them next to each other. To create this I first used big sets of land to create a back round which everything was set upon. Next I added the little images that are on the back round. For example the boat the surf board and the Volley ball. One thing I did reflect was a linear function to create both sides of the boat. For the creation of the waves that move I found them on another Desmos and adapted them to mine.
- How did using Desmos and creating this drawing help you understand function families and their transformations? (Be specific and discuss two types of functions and what you learned about them - for example, discuss how you understand linear and quadratic functions.) (3-5 sentences)
Using Desmos helped me learn a lot about functions and Equations. With creating the pictures I had to mess with the equations to make them perfect. Whenever you transform a equation it can become something that you never thought it could be. One type of function that I learned about was a Cubic function. y=a(x-h)+k What i learned about this is K can be changed to make it go up and down. Also is you change H It can change its placement on X axis. Another equation I learned a lot about was a linear equation. y=mx+b I learned that this can create a line that is sideways.
Unit 3: Area,Volume,Measurement
1) What content/skills have been the most interesting to you?
The most interesting content/skill that I learned this unit has been how to find the volume/ area of any shape with simple equations. I'm able to find the area then the volume of most shapes. I can apply this in engineering to create cool buildings.
2) And how has this content/skill helped you grow mathematically?
The volume and area of shapes has helped me grow mathematically because I have learned the equations. The equations help me solve other problems that I have in math. The content in math that I learn flows into the next thing I learn and I can understand future content.
The most interesting content/skill that I learned this unit has been how to find the volume/ area of any shape with simple equations. I'm able to find the area then the volume of most shapes. I can apply this in engineering to create cool buildings.
2) And how has this content/skill helped you grow mathematically?
The volume and area of shapes has helped me grow mathematically because I have learned the equations. The equations help me solve other problems that I have in math. The content in math that I learn flows into the next thing I learn and I can understand future content.
Unit 2 Reflection: Shadows, Similarity and Right Triangle Trigonometry
Q1: What has been the work you are most proud of in this unit?
The work I have been most proud of this unit is the Problems of the week. More specifically it has been the POW about solar panel work. I really think I could apply myself in a place that I really liked. I Put a lot of work into getting the measurements for the roof and even my family was supporting me because we might get solar panels. Even though the POW was changed I still enjoyed it and I'm still the most proud of that POW.
Q2: What skills are you developing in geometry/math?
The skills that I'm developing in geometry are being able to solve tang, cos, sin problems. Also I am still learning how too show and tell my solutions. POW's are showing me how to explain my process and thinking instead of just showing my math. I am able to share my learning with someone that doesn't know this math.
Q3: State an application of the topic in the adult world that interests you?
In math we learned about real world applications and where we can apply these mathematical skills. One type of math we did that we could apply was trigonometry. More specifically CosSinTan. We used this in a POW to find the right angle for solar gain to have solar panels on our roofs.
Problems of the week
POW's this year for me have been very helpful. They have helped me grow mathematically because of the new concepts and math I have used to solve a real world problem. After getting an answer for the POW I would have to go back and explain how I got there. This part was the reflection piece. It helped me communicate my ideas and possess. I learned how to break down the problems. If I got stuck at any point I would first look over the question again and then go ask a friend. This is helping me develop a growth mindset.
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Snail Trial Graffiti ReflectionHow I created the reflection plan was I created a circle and made 6 different sections. The snails were made when I copied all the circles to each section so they would follow or trace the first one. I noticed that the snails were mirrors of each other. The symmetry that is seen in this is relational ,rotational, and angle of rotaion is a big part.
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GeoGebra Lab - The Burning Tent Problem
Q1. The incoming angle and the outgoing angle are exactly the same when you have the shortest distance found.
Q2. The path from camper to tent fire is the shortest path to take because the angles are the same on both sides. This means that the line segments can come together in the most efficient way possible.
Q3. Point river should be located at the intersecting point of where segment ab and camper and tent fire cross. This will make it the shortest distance possible.
Q2. The path from camper to tent fire is the shortest path to take because the angles are the same on both sides. This means that the line segments can come together in the most efficient way possible.
Q3. Point river should be located at the intersecting point of where segment ab and camper and tent fire cross. This will make it the shortest distance possible.