Unit 4 - Desmos Drawing and Function Families
Reflection:
Unit 3 Reflection:
Unit 3 Reflection: Area, Volume, Measurement
Throughout Unit 3 the content that has been most appealing to me is the volume calculations and the usages that we have gone over with volume. There are so many different formulas for each shape that it is almost impossible to remember all the formulas. For example a formula for finding the volume of a cylinder would be 3.14*the radius of the cylinder squared multiplied by the height of the cylinder. Overall, I feel that this has become easier over the course of the practicing.
I have grown mathematically because I have developed skills that can be useful in future math classes. For example I have expanded my knowledge with different techniques that I am now using on the calculator, both on the calculator and on paper I am now able to create graphs.
Throughout Unit 3 the content that has been most appealing to me is the volume calculations and the usages that we have gone over with volume. There are so many different formulas for each shape that it is almost impossible to remember all the formulas. For example a formula for finding the volume of a cylinder would be 3.14*the radius of the cylinder squared multiplied by the height of the cylinder. Overall, I feel that this has become easier over the course of the practicing.
I have grown mathematically because I have developed skills that can be useful in future math classes. For example I have expanded my knowledge with different techniques that I am now using on the calculator, both on the calculator and on paper I am now able to create graphs.
Problems of the Week:
POW #3
POW # 4
Problem of the Week Reflection:
Problems of the week have helped me grow mathematically because I have been able to break down big problems and reflect back on the ideas that I came across in the process. This is beneficial to me because I am able to see the steps two different times by reflecting myself in the written process. The POWs have also been very beneficial to me because all of the time that we are given for the POWs help me grab all of the ideas and all of the steps to break down this problem.
Unit 2 Reflection: Shadows, Similarity, and Right Triangle Trigonometry
What has been the work you are most proud of in this unit?
The Work that I am most proud of for this Unit was the Unit 2 graded packet that covered the entire requirements and work for the Unit. The reason that I am most proud of this, is because I feel that I took my time and really understood most of the concepts in the packet I also am proud that I was able to take the initive and get help in the areas that were confusing for me; for example the graphing of degrees from 0-90 trig functions, finding the value and plotting the points.
What skills are you developing in geometry/math?
I am developing a variety of many different useful skills in geometry such as my ability to problem solve, with critical thinking, my ability to understand basic geometry concepts such as graphing and making tables and acquiring algebra problems. I have shown that I have improved on my ability to problem solve by my approaches to POWs for example; the last POW we did gave me the opportunity to critically think and appropriately approach a problem of the sort.
Choose one topic: similarity (ratios) or trigonometry. Explain what it is. Provide an example of how it is used in mathematics to solve problems.
Trigonometry is the use of triangles while determining side and angle relationships between the triangle and the use of finding similarity. Trigonometry is important to the use of mathematics and problem solving because it determines the angle relationships or anytime there is an angle involved in the problem. For example with trig we were able to determine the relationship between angles of the sun affecting where the light is directed.
The Work that I am most proud of for this Unit was the Unit 2 graded packet that covered the entire requirements and work for the Unit. The reason that I am most proud of this, is because I feel that I took my time and really understood most of the concepts in the packet I also am proud that I was able to take the initive and get help in the areas that were confusing for me; for example the graphing of degrees from 0-90 trig functions, finding the value and plotting the points.
What skills are you developing in geometry/math?
I am developing a variety of many different useful skills in geometry such as my ability to problem solve, with critical thinking, my ability to understand basic geometry concepts such as graphing and making tables and acquiring algebra problems. I have shown that I have improved on my ability to problem solve by my approaches to POWs for example; the last POW we did gave me the opportunity to critically think and appropriately approach a problem of the sort.
Choose one topic: similarity (ratios) or trigonometry. Explain what it is. Provide an example of how it is used in mathematics to solve problems.
Trigonometry is the use of triangles while determining side and angle relationships between the triangle and the use of finding similarity. Trigonometry is important to the use of mathematics and problem solving because it determines the angle relationships or anytime there is an angle involved in the problem. For example with trig we were able to determine the relationship between angles of the sun affecting where the light is directed.
Geogebra Lab 3 : Burning Tent
Composition Book Entry Questions:
Question1: Once you have a minimal path, what appears to be true about the incoming angle and outgoing angle?
The incoming angle is not that much different from the outgoing angle, they both had a similar degree.
Question 2: Why is the path from points Camper to Tent fire' the shortest path? Briefly Explain.
The path is short because to get the the tent you have to go by the river to even get the tent. But to get to point tent-fire you have to make a detour to go get the water.
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?
It should be in exact relation to both points, because it will make the distance the shortest. If the River point were in a different place the distance would be longer and not much of an efficient way to get the camper to the river to the tent-fire'.
The incoming angle is not that much different from the outgoing angle, they both had a similar degree.
Question 2: Why is the path from points Camper to Tent fire' the shortest path? Briefly Explain.
The path is short because to get the the tent you have to go by the river to even get the tent. But to get to point tent-fire you have to make a detour to go get the water.
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?
It should be in exact relation to both points, because it will make the distance the shortest. If the River point were in a different place the distance would be longer and not much of an efficient way to get the camper to the river to the tent-fire'.
Geogebra lab 2 : Snail Trail
Reflection
In the Snail Trail Graffiti Geogebra Lab we used line reflection symmetry to create symmetric designs. The first step to the lab was making a circle with on 60 degree angle, and putting a point on the perpendicular bisector of the angle on the circle. I then reflected the point over the angle lines creating 6 different colored points. Every time you move the original point, the 5 other points follow it creating a symmetric shape. The Snail moved together and there trails created symmetry with the following points. If you ignore the color in the trail you will notice that It makes a shape from all rotating sides.