Kyle Carbone
Math 304
Olsen
4/21/16
GeoGebra Homework
Exploration:
link: https://www.geogebra.org/o/3253663
CCSS.MATH.CONTENT.HSG.GPE.B.4
Use coordinates to prove simple geometric theorems algebraically.
2) Demonstration:
Link: http://www.geogebra.org/material/simple/id/3248153
This file is a manipulative for left hand and right hand sum. What it allows you to do is graph a line and calculate it’s left hand and right hand sums using rectangles. There is a slider that can be manipulated to change the amount of rectangles that are used to get a more accurate representation. The start and end points of the line segment can also be changed. Some objectives the students could be given are make the right hand or left hand sum a certain number, make the right hand sum equal the left hand sum, or what makes the left hand sum larger than the right hand sum? This would be used in a high school calculus classroom. There is no Common Core State Standard for this topic.
3) Demonstration:
Link: http://www.geogebra.org/material/simple/id/45576
This file is a line-graphing activity. First, the equation of a line is given, then the user is asked to replicate the line. The user can drag and drop the 2 points that are given, as well as drag the line itself. Once the user has correctly placed the line in its correct place, the line turns green and the application will ask you if you would like to do another. Then the user is asked to graph the new line. The main concepts of this activity are understanding slope and how to find it in an equation, as well as graphing a line. The application of this topic is 8th grade or lower level high school math.
CCSS.MATH.CONTENT.8.EE.B.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Math 304
Olsen
4/21/16
GeoGebra Homework
Exploration:
link: https://www.geogebra.org/o/3253663
- Make a triangle by plotting any 3 points and connecting them
- Label the angles of the vertices with their measurements
- Create angle bisectors or each vertex
- Place a point on one of the angle bisectors inside the triangle
- Label the angle created by the angle bisector using the new point you just created.
- Create a perpendicular bisector for every line segment of your triangle.
- Label the lengths of the line segments of one of your bisected sides.
- Place points at the intersections of your angle bisectors and perpendicular bisectors
- Circumscribe a circle around your triangle
- Examine the relationship of your circle, and your angle and perpendicular bisectors
- What statements can be made
CCSS.MATH.CONTENT.HSG.GPE.B.4
Use coordinates to prove simple geometric theorems algebraically.
2) Demonstration:
Link: http://www.geogebra.org/material/simple/id/3248153
This file is a manipulative for left hand and right hand sum. What it allows you to do is graph a line and calculate it’s left hand and right hand sums using rectangles. There is a slider that can be manipulated to change the amount of rectangles that are used to get a more accurate representation. The start and end points of the line segment can also be changed. Some objectives the students could be given are make the right hand or left hand sum a certain number, make the right hand sum equal the left hand sum, or what makes the left hand sum larger than the right hand sum? This would be used in a high school calculus classroom. There is no Common Core State Standard for this topic.
3) Demonstration:
Link: http://www.geogebra.org/material/simple/id/45576
This file is a line-graphing activity. First, the equation of a line is given, then the user is asked to replicate the line. The user can drag and drop the 2 points that are given, as well as drag the line itself. Once the user has correctly placed the line in its correct place, the line turns green and the application will ask you if you would like to do another. Then the user is asked to graph the new line. The main concepts of this activity are understanding slope and how to find it in an equation, as well as graphing a line. The application of this topic is 8th grade or lower level high school math.
CCSS.MATH.CONTENT.8.EE.B.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.