Cooling of water

Category Details
Module Cooling of water
Number of hours 45-90 min
Grade/Age Range Grade 7-9 (13-15 years old)
Brief Description Students predict, verify, create, and analyse graphs of temperature changes in time by performing experiments.
Design Principles
Inquiry
Situatedness
Digital tools
Embodiment
Functional Thinking
Input – Output
Covariation
Correspondence
Object
Learning Goals
- The student takes measurements of water temperature at regular intervals,
- enters the values of measurements into a table,
- presents the values of measurements on a graph in the form of points,
- combines different representations of the concept of function: description and analysis of a real situation, an ordered pair of numbers (data), a table, a graph,
- intuitively discovers that the analysed function is continuous, because at each point in time, the water was of a particular temperature between measurements,
- intuitively discovers the monotonicity of the function (non-increasing or constant function on intervals),
- intuitively discovers what an asymptote is,
- learns about functions other than linear,
- learns what interpolation (approximation of function values) is about,
- discovers the shape of the graph of a function describing the theoretical model of water cooling.
- The lesson can be implemented as a propaedeutic of the concept of functions, before introducing the concept of a function.

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