Distance-time Version B

Category Details
Module Functional thinking in distance-time scenarios
Teaching Hours 2x 60 min (individual activities, whole class) or 1 x 120 min (circuit)
Grade Level/Age Range 4-6 (9-12 years old)
Brief Description In this module, students investigate distance-time graphs. They first create a graph of their own journey from home to school. Then they use real-world experiments and the Desmos applet "walking graphs digitally". Understanding of graphs is enhanced by directly linking a physical experience (motion) to visually perceivable information in the graph (slope, position, direction). The "walking a graph" situation describes the relationship between the distance to a fixed point/sensor and the time it takes to complete a movement. Students experience this situation through walking to and form an ultrasonic sensor in the classroom and in a digital environment using Desmos. The focus of this module is on developing and promoting a qualitative understanding of functional relationships. The module engages students with the relationship between distance and time, exploring the graphical representation and the rate of change in distance-time scenarios.
Design Principles
Inquiry
Situatedness
Digital tools
Embodiment
  • Inquiry based learning: Students explore and find out which movements create which kinds of graphs; Students find out how the content of a graph relates to their own movement or that of the turtle;
  • Situatedness: Students see a direct representation of their own movement (or the movement of the turtle);
  • Digital: transfer from physical activities to a digital activity, from a motion sensor to an application on a computer
  • Embodiment: Students connect their own physical movement (or the turtle’s movement) to a formal representation of distance-time graphs.
Functional Thinking
Input – Output
Covariation
Correspondence
Object
Learning Goals
- Students learn to identify and name the quantities that vary in given scenarios
- Students learn how to express and coordinate the co-variation of two quantities
- Students learn to identify and represent (verbally, symbolically, and graphically) the correspondence relation between two quantities
- Students learn to create and interpret graphs of functional relations
- Students learn to generalize (verbally and symbolically) the correspondence relation between two quantities
- Students learn to use functional expressions to model real-life scenarios

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