|Original CEP post|
Description of Learning Activity
1. Learning Activity Types
- LA-Present-Demo - demonstration
- If time is limited in your classroom, you could also use this applet to demonstrate how the a, b, and c value affect the graph of a quadratic function.
- LA-Explore - exploring/investigating mathematical ideas
- This activity allows students to explore using the a, b , and c scroll bars how these coefficients affect the graph of a quadratic function. Based on their observations, students can make conjectures and test their theories.
2. What mathematics is being learned?
- NCTM-Alg-patterns - understand patterns, relations, and functions;
- NCTM-Alg-symbols - represent and analyze mathematical situations and structures using algebraic symbols;
- PS-conceptual understanding
- I believe this applet with some additional discussion and guiding from the teacher can lead to a strong conceptual understanding of why the coefficients play the role that they do. For example, students can recognize that if we start with y=x^2 and multiply that by a number greater than 0, then just the width of the graph changes. On the other hand, if we multiply that parent function by a number less than 0, then the graph flips, and opens down in addition to the width changing. Also, the applet in itself helps students discover the roles instead of simply memorizing the information a teacher presents.
- PS-adaptive reasoning
- This applet provides students with the opportunity to investigate the roles of each coefficient. Based on their observations, students must draw conclusions. Students must make conjectures and test their conjectures through their exploration with the applet.
3. How is the mathematics represented?
4. What role does technology play?
Affordances of Technology for Supporting Learning
- Computing & Automating -
- Representing Ideas & Thinking - This applet provides students with a visual representation of how changing the coefficients impact the graph.
- Accessing Information - This applet allows the students to quickly "graph" many quadratic functions. Students can use the scroll bars to create parabolas and then through their observations they can draw conclusions.
- Communicating & Collaborating -
- Capturing & Creating -