Nomogram intro & graph

Category Details
Module Nomogram
Teaching Hours 150 minutes
Grade/Age Range 7-8
Brief Description In this module, students will explore a new mathematical representation for functions, named Nomogram, with their body movement. Nomogram is consisted with two number lines and arrows. With the light ray contexts, nomogram introduces different functional relations which are the bases of the pure mathematics context in the subsequent tasks. The two number lines represent the domain and range of function respectively, and the arrows show how input vales are mapped to output values. The different attentional anchors are provided referring to input-output aspect (directions of arrows) and covariation/correspondence aspect (a moving point in the Cartesian coordinates).
Design Principles
Inquiry
Situatedness
Digital tools
Embodiment
Functional Thinking
Input - Output
Covariation
Correspondence
Object
Educational Objectives
- Students are able to interpret the meaning of an input or output relevant to the context of a problem.
- Students are able to find the output, when given the input, height, and vice versa when given a nomogram.
- Students are able to describe how functions work as input-output machine​.
- Students are able to identify a function as a relation that pairs one input to exactly one output.
- Students are able to explain how sets of numbers are related to each other.
- Students are able to describe the relationship between the dependent and independent.
- Students are able to use both function graph and nomogram to represent functions.

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