Functions Machines Gizmos

Category Details
Module Function Machines
Teaching Hours 3 X 40 min
Grade Level/Age Range Grades 5-6 (10-12 years old)
Brief Description The module engages students with the function machines, the graphical representation of the relationship between input and output values, and in finding the rule that correspond the input with the output values.
Design Principles
Inquiry
Situatedness
Digital tools
Embodiment
  • Meaningful: Build on students’ intuitive knowledge and daily life experiences with games and real-life scenarios
  • Embodiment: Perceptual-motor (action-perception) experiences with noticing the correspondence between input and output values, grounding the understanding of the relation between the involved quantities with concrete actions
  • Inquiry based learning: explore qualitative and quantitative relations (additive, multiplicative, linear)
  • Digital: tablet devices equipped with appropriate apps
  • Didactical phenomenology / situatedness: the correspondence of values from data sets (input-output) is recorded, tabularized and mathematized
Functional Thinking
Input – Output
Covariation
Correspondence
Object
Learning Goals
- Conceptualize arithmetic operations as functions in an implicit way
- Conceptualize functions as an input-output process
- Notice, generalize and express additive, multiplicative and linear relations
- Use functional expressions to model real-life scenarios

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