Slope Matchup
8) Look for and express regularity in repeated reasoning.
Pipe Cleaner Transformations
3. Then I asked them to shift the graph up. Explain what the new equation would be.
For my class I then had them shift the graph to the left until it turned out to be the same graph as the original. They shifted it over one period. we found our new equation to be y = sin(x-2π)
4. Have them shift it left or right and predict the new equation
5. Have them move the pipe cleaner into a certain location and then ask for an equation.
6. Ask them to reflect the pipe cleaner over an axis or the origin.”
3) Model with mathematics
8) Look for and express regularity in repeated reasoning
- Topic: Identifying slopes of lines using points.
- Purpose: Help students understand the relationships between points by having them identify the slope between 2 points.
- Overview: Students will be asked to partner up and find a place in the room where they can see the board. They will then be given tiny slips of paper that have numerical values on them. They will spread the slips of paper evenly in between them so that the numbers are facing each person and facing up. The teacher then puts up 2 points on the board and asks the students to find the slope between the 2 points. Once the student has worked figured out the problem, he or she will grab the slip of paper that that matches the answer that they got. It is, however, a race between partners to see who can grab the correct slip first.
- Common Core State Standard: 8.EE
- Which mathematical practices are addressed in this activity?:
8) Look for and express regularity in repeated reasoning.
- Grade levels: 8-10. It is first mentioned in Common Core in 8th grade, but it’s applications travel throughout high school.
- Background knowledge required: Knowledge of slope formula, ordered pairs, and subtraction of fractions and decimals.
- Source of the activity: Original
- Time: 10-15 minutes.
- Materials needed: Printer or di-cut machine that would create the slips of paper in mass quantities (slips could be printed out and cut using scissors, or written on individually), scratch paper for students, chalk or white board
- Type of activity: game
- Analysis:
Pipe Cleaner Transformations
- Topic: Transformations of lines/graphs
- Purpose: To learn the effect that transformations have on different graphs such as translation, rotation, and reflection, and practice them all.
- Overview: “1. Either have your student make their own scale on a piece of paper or hand out a scale for your students.
3. Then I asked them to shift the graph up. Explain what the new equation would be.
For my class I then had them shift the graph to the left until it turned out to be the same graph as the original. They shifted it over one period. we found our new equation to be y = sin(x-2π)
4. Have them shift it left or right and predict the new equation
5. Have them move the pipe cleaner into a certain location and then ask for an equation.
6. Ask them to reflect the pipe cleaner over an axis or the origin.”
- Common Core State Standard: ?
- Which mathematical practices are addressed in this activity?:
3) Model with mathematics
8) Look for and express regularity in repeated reasoning
- Grade levels: 10-12
- Background knowledge required: Graphing basic functions and lines.
- Source of the activity: http://teachhighschoolmath.blogspot.com/2011/02/using-pipe-cleaners-for-transformations.html
- Time: 20 minutes
- Materials needed: Pipe cleaners, graph printouts.
- Type of activity: Teacher led discussion/hands on activity
- Analysis: