HSPA Workshop Presentation 2009

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HSPA Workshop Presentation 2009

  1. 1. Putting Math into Action: Real-Life Activities that Create Meaningful Learning Ryan Pineda November 20, 2009
  2. 2. What do we want to accomplish? <ul><li>Develop meaningful learning </li></ul><ul><li>Meet the State Standards and NCTM Standards </li></ul><ul><li>Prepare the students for higher-level math </li></ul>
  3. 3. Questions to Ponder <ul><li>What is meaningful learning? </li></ul><ul><li>How do we achieve meaningful learning? </li></ul><ul><li>How do we balance achieving meaningful learning while finishing the curriculum? </li></ul>
  4. 4. NCTM Principle And Standards for School Mathematics <ul><li>Numbers and Operations </li></ul><ul><li>Algebra </li></ul><ul><li>Geometry </li></ul><ul><li>Measurement </li></ul><ul><li>Data Analysis and Probability </li></ul><ul><li>Problem Solving </li></ul><ul><li>Reasoning and Proof </li></ul><ul><li>Communication </li></ul><ul><li>Connections </li></ul><ul><li>Representation </li></ul>
  5. 5. Activity 1: Right Triangle Trigonometry <ul><li>Objectives: </li></ul><ul><li>1. To create an improvised clinometer. </li></ul><ul><li>2. To measure the height of structures using trigonometry. </li></ul>
  6. 6. Activity 2: Scatter Plot and Linear Regression <ul><li>Objectives: </li></ul><ul><li>1. To approximate the best-fitting line for a set of data. </li></ul><ul><li>2. To describe correlation between set of data. </li></ul>
  7. 7. Activity 3: Finding the Distance between two cities <ul><li>Objectives: </li></ul><ul><li>1. To find the distance between two cities using the formula s=r  . </li></ul><ul><li>2. To use scale factor in converting distances. </li></ul>
  8. 8. Activity 4: Vectors and Bearings <ul><li>Objectives: </li></ul><ul><li>1. To apply the concepts of vectors and bearings. </li></ul><ul><li>2. To use scale factor in finding the actual distance between locations. </li></ul>
  9. 9. Activity 5: Bouncing Ball Experiment <ul><li>Objectives: </li></ul><ul><li>1. To record data on the height of successive bounces of a ball dropped from different heights. </li></ul><ul><li>2. To demonstrate that the height of the ball decreases exponentially as the number of bounce increases. </li></ul>
  10. 10. Activity 6: Pendulum, Tides and Temperature <ul><li>Objectives: </li></ul><ul><li>1. To investigate the period of a pendulum with different string lengths. </li></ul><ul><li>2. To find a trig model for a set of points. </li></ul>
  11. 11. Enrichment Lesson for Activity 6: Law of Biorhythm <ul><li>Objectives: </li></ul><ul><li>1. To understand the theory of biorhythm. </li></ul><ul><li>2. To graph one’s physical, emotional and intellectual cycles. </li></ul>
  12. 12. Activity 7: Probability <ul><li>Objectives: </li></ul><ul><li>1. To define and use probability. </li></ul><ul><li>2. To establish a relation between theoretical probability and empirical probability. </li></ul>
  13. 13. Activity 8: Similar Triangles <ul><li>Objectives: </li></ul><ul><li>1. To use a mirror to determine the height of an object. </li></ul><ul><li>2. To use similar triangles to solve for unknown height. </li></ul>
  14. 14. Activity 9: Unlocking a Lock <ul><li>Objectives: </li></ul><ul><ul><li>To open a lock using angle measures. </li></ul></ul><ul><ul><li>To convert angles in degrees to radians and radians to degrees. </li></ul></ul>
  15. 15. Suggestions <ul><li>Think of what you want to accomplish. </li></ul><ul><li>Start with the basic concept. </li></ul><ul><li>These activities are enrichment lessons. </li></ul><ul><li>Apply differentiated instruction. </li></ul><ul><li>Evaluate each activity. </li></ul>
  16. 16. Thank you! [email_address] www.slideshare.net/MrPolynomial

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