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HSPA Workshop Presentation 2009

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

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