Assignment #2: Group curricular microteaching: Math 9 Two Variable Linear Relations Lesson Plan

Lesson Plan

Oct. 16

Pearl, Shawn, Christine


Lesson Objective:
Students will learn and understand two-variable linear relations, including graphing relation, analyzing and interpreting real-world scenarios using these relations.


  • Graphing

  • Interpolation

  • Extrapolation

 

Time: 20 minutes


Learning Activities:

Beginning - Shawn (5 min):

  • Discuss the concept of linear relations and their significance in math and real life.

    • Modeling and Prediction: Linear relations are used as models in various mathematical disciplines. They are employed in fields like statistics, physics, and engineering to predict outcomes based on known data and to analyze trends and patterns.

    • Economics: In economics, linear relations are used to model supply and demand, production costs, revenue, and profit. Linear models help businesses make pricing and production decisions.

    • Social Sciences: Linear relations are used to analyze trends in data, whether in demographics, education, or public health. They help in understanding and predicting social phenomena.

  • Show a graph / introduce ideas of interpolation / extrapolation


Middle - Pearl (10 min): 

  • Students are given two questions to work on to assess their understanding of interpolation, extrapolation and linear relations of two variables.

    • Form linear relation from two pairs of given data by graphing

    • Approximate a value from the linear relation

    • Determine if the approximated value is an example of interpolation or extrapolation.

  • In groups of two, discuss and complete the two questions (collaborative activity).

  • Afterwards, students will share the solutions with the class.

  • A solution slide is also prepared.  

  • Teachers will walk around to observe students’ progress and their exchange of ideas and collaboration in solving the questions.  Help will be given when needed.  Evaluation will take place during the group sharing.  


End - Christine (5 min): real life examples / application

  • Class involvement in coming up with examples of interpolation and extrapolation used in the “real-world”

  • Some possible answers (I will guide them to this if prompting is needed):

    • Extrapolation: population, forecasting, climate change

    • Interpolation: temperature, speed, multivariable graphs, height between age 5 & 6 for example


Extension if needed:

  • Look up data that is relevant to the student (housing prices, climate change data…) and choose to either interpolate or extrapolate that data


Competencies:

  • Use mathematical vocabulary and language to contribute to mathematical discussions

  • Visualize to explore mathematical concepts


Materials:

  • Worksheets with graphs

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