Unit 4 Reflection: Circles, Coordinate Geometry, and Function Families
Unit 3 Reflection: Area, Volume, Measurement
Q1: What content/skills have been most interesting to you?
A1: I enjoyed the area content because it it easy for me to put in numbers for an equation and solve. It was easy for me to practice using my brain instead of my calculator for equations. My skill was interested in learning was memorizing the equations and solving the areas for cubes. Volume was easy to learn as well
Q2: How have you grown mathematically?
A2: I do not think I personally grew mathematically because this unit was really a review for me. It wasn't engaging for me personally but I saw my peers learning more which was exciting.
A1: I enjoyed the area content because it it easy for me to put in numbers for an equation and solve. It was easy for me to practice using my brain instead of my calculator for equations. My skill was interested in learning was memorizing the equations and solving the areas for cubes. Volume was easy to learn as well
Q2: How have you grown mathematically?
A2: I do not think I personally grew mathematically because this unit was really a review for me. It wasn't engaging for me personally but I saw my peers learning more which was exciting.
Unit 2 Reflection: Shadows, Similarity and Right Triangle Trigonometry:
Q1: What has been the work you are most proud of in this unit?
A1: For this unit, I am most proud of my developing skills of making myself diagrams. For example, on the POWs I draw out what the problem is saying and asking. I do this so that I can visualize what I am supposed to do to solve the problem. I am a visual learner especially when it comes to math. I get easily confused with the words in a word problem in math so by creating a diagram and drawing out the problem, I can better understand the problem.
I understand and "mastered" trigonometry. I understand how to set up a trig ratio and I can solve it easily. For example, in my comp. book we wrote down the steps for solving Trig problems and I understood everything we were talking about and writing down. I understand how to set up a trig ratio from looking at a triangle and I have an easy time finding out if I am solving for an angle or a side.
Q2: What skills are you developing in geometry/math?
A2: For this unit, I am most proud of my developing skills of making myself diagrams. For example, on the POWs I draw out what the problem is saying and asking. I do this so that I can visualize what I am supposed to do to solve the problem. I am a visual learner especially when it comes to math. I get easily confused with the words in a word problem in math so by creating a diagram and drawing out the problem, I can better understand the problem.
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
A3: Trigonometry is a part of mathematics finding the sides and angles of triangles with the relevant function. It is used to find missing angles and/or sides of a triangle if there is enough information given in the triangle. This could be used in the adult world if you needed to find out how big of a ladder you needed to save someone in a tree by calculating the angle and distance from the tree.
A1: For this unit, I am most proud of my developing skills of making myself diagrams. For example, on the POWs I draw out what the problem is saying and asking. I do this so that I can visualize what I am supposed to do to solve the problem. I am a visual learner especially when it comes to math. I get easily confused with the words in a word problem in math so by creating a diagram and drawing out the problem, I can better understand the problem.
I understand and "mastered" trigonometry. I understand how to set up a trig ratio and I can solve it easily. For example, in my comp. book we wrote down the steps for solving Trig problems and I understood everything we were talking about and writing down. I understand how to set up a trig ratio from looking at a triangle and I have an easy time finding out if I am solving for an angle or a side.
Q2: What skills are you developing in geometry/math?
A2: For this unit, I am most proud of my developing skills of making myself diagrams. For example, on the POWs I draw out what the problem is saying and asking. I do this so that I can visualize what I am supposed to do to solve the problem. I am a visual learner especially when it comes to math. I get easily confused with the words in a word problem in math so by creating a diagram and drawing out the problem, I can better understand the problem.
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
A3: Trigonometry is a part of mathematics finding the sides and angles of triangles with the relevant function. It is used to find missing angles and/or sides of a triangle if there is enough information given in the triangle. This could be used in the adult world if you needed to find out how big of a ladder you needed to save someone in a tree by calculating the angle and distance from the tree.
POWs
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Tessellations:
- What is the idea/theme behind your tessellation.
2. What polygon did you start with and how did you alter it
I started with a hexagon and I altered it to make the mouth by cutting out a triangle and attaching that to the end like a tail. I attempted making the tail have spikes but it was too hard to cut out evenly and attach it to the other side.
3. Are tessellations math or art? Back up your answer.
I think they are equal but to me they are more art because when you look at a tessellation, I personally see and art piece. There is more math behind the mechanisms of creating a working tessellation but the way we did them i saw my artistic side out more when making mine.
Steps:
The last step was to cut out the triangle and attach it to the opposite side of the hexagon creating my tessellation.
Burning Tent Lab:
Question 1: Once you have a minimal path, what appears to be true about the incoming angle and the outgoing angle?
The two angle are almost the exact or congruent. One angle is reflecting off the other 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.) It is the shortest path because if you change the distance of the campfire to the rive, it will change the vertex angle.
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? It should be located on the line of reflection.
The two angle are almost the exact or congruent. One angle is reflecting off the other 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.) It is the shortest path because if you change the distance of the campfire to the rive, it will change the vertex angle.
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? It should be located on the line of reflection.
The Snail Trail Lab:
How did you construct the “snails” and the reflective plane?
I created a circle and divided it into 6 parts. I made a point in one of the 6 regions and reflection over each line creating 6 point in each of the 6 regions. Then i changed the colors of each point and made them bigger. Then I highlighted the 6 points and right clicked and selected the 'trace on' button.
What did you notice about the “snails” and their graffiti trails?
They are in sync with each other and they follow each others movements.
What type of symmetry does your design exhibit if you ignore the color? Reflection and rotational symmetry.
I created a circle and divided it into 6 parts. I made a point in one of the 6 regions and reflection over each line creating 6 point in each of the 6 regions. Then i changed the colors of each point and made them bigger. Then I highlighted the 6 points and right clicked and selected the 'trace on' button.
What did you notice about the “snails” and their graffiti trails?
They are in sync with each other and they follow each others movements.
What type of symmetry does your design exhibit if you ignore the color? Reflection and rotational symmetry.