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Putting Math into Action: Putting Math into Action: Real-Life Activities that Real-Life Activities that
Create Meaningful LearningCreate Meaningful Learning
Ryan PinedaRyan PinedaNovember 20, 2009November 20, 2009
What do we want to What do we want to accomplish?accomplish?
• Develop meaningful learningDevelop meaningful learning
• Meet the State Standards and NCTM Meet the State Standards and NCTM StandardsStandards
• Prepare the students for higher-level Prepare the students for higher-level mathmath
Questions to PonderQuestions to Ponder
•What is meaningful learning?What is meaningful learning?
•How do we achieve meaningful How do we achieve meaningful learning?learning?
•How do we balance achieving How do we balance achieving meaningful learning while meaningful learning while finishing the curriculum?finishing the curriculum?
NCTM Principle And NCTM Principle And Standards for School Standards for School MathematicsMathematics• Numbers and OperationsNumbers and Operations
• AlgebraAlgebra
• GeometryGeometry
• MeasurementMeasurement
• Data Analysis and ProbabilityData Analysis and Probability
• Problem SolvingProblem Solving
• Reasoning and ProofReasoning and Proof
• CommunicationCommunication
• ConnectionsConnections
• Representation Representation
Activity 1: Right Triangle Activity 1: Right Triangle TrigonometryTrigonometry
• Objectives:Objectives:
1. To create an improvised clinometer.1. To create an improvised clinometer.
2. To measure the height of structures 2. To measure the height of structures using trigonometry.using trigonometry.
Activity 2: Scatter Plot and Activity 2: Scatter Plot and Linear RegressionLinear Regression• Objectives:Objectives:
1. To approximate 1. To approximate the best-fitting line the best-fitting line for a set of data.for a set of data.
2. To describe 2. To describe correlation correlation between set of between set of data.data.
Activity 3: Finding the Distance Activity 3: Finding the Distance between two citiesbetween two cities
• Objectives:Objectives:
1. To find the 1. To find the distance between distance between two cities using the two cities using the formula s=rformula s=r..
2. To use scale 2. To use scale factor in converting factor in converting distances.distances.
Activity 4: Vectors and Activity 4: Vectors and BearingsBearings• Objectives:Objectives:
1. To apply the 1. To apply the concepts of vectors concepts of vectors and bearings.and bearings.2. To use scale 2. To use scale factor in finding the factor in finding the actual distance actual distance between locations.between locations.
Activity 5: Bouncing Ball Activity 5: Bouncing Ball ExperimentExperiment• Objectives:Objectives:
1. To record data on 1. To record data on the height of the height of successive bounces successive bounces of a ball dropped of a ball dropped from different from different heights. heights. 2. To demonstrate 2. To demonstrate that the height of the that the height of the ball decreases ball decreases exponentially as the exponentially as the number of bounce number of bounce increases. increases.
Activity 6: Pendulum, Tides Activity 6: Pendulum, Tides and Temperatureand Temperature• Objectives:Objectives:
1. To investigate the period of a pendulum 1. To investigate the period of a pendulum with different string lengths.with different string lengths.2. To find a trig model for a set of points.2. To find a trig model for a set of points.
Enrichment Lesson for Activity Enrichment Lesson for Activity 6: Law of Biorhythm6: Law of Biorhythm
• Objectives:Objectives:
1. To understand the theory of 1. To understand the theory of biorhythm.biorhythm.
2. To graph one’s physical, emotional 2. To graph one’s physical, emotional and intellectual cycles.and intellectual cycles.
Activity 7: ProbabilityActivity 7: Probability
• Objectives:Objectives:
1. To define and 1. To define and use probability.use probability.
2. To establish a 2. To establish a relation between relation between theoretical theoretical probability and probability and empirical empirical probability.probability.
Activity 8: Similar TrianglesActivity 8: Similar Triangles
• Objectives:Objectives:
1. To use a mirror to determine the 1. To use a mirror to determine the height of an object.height of an object.
2. To use similar triangles to solve for 2. To use similar triangles to solve for unknown height.unknown height.
Activity 9: Unlocking a LockActivity 9: Unlocking a Lock
• Objectives:Objectives:1.1. To open a lock using angle measures.To open a lock using angle measures.2.2. To convert angles in degrees to radians and To convert angles in degrees to radians and
radians to degrees.radians to degrees.
SuggestionsSuggestions
• Think of what you want to Think of what you want to accomplish.accomplish.
• Start with the basic concept.Start with the basic concept.
• These activities are enrichment These activities are enrichment lessons.lessons.
• Apply differentiated instruction.Apply differentiated instruction.
• Evaluate each activity.Evaluate each activity.
