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Intervention and Monitoring Tools

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TITLE OF THE INTERVENTION TOOL

Exploring solutions of equations and systems of equations

ADDRESS TO

Class

COGNITIVE AREA AND MATHEMATICAL DOMAIN ADDRESSED

Reasoning/Algebra

UNIVERSAL DESIGN FOR LEARNING PRINCIPLES

- Engagement/Sustaining efforts and persistence
- Representation/Perception
- Representation/Language and symbols
- Representation/Comprehension
- Action and expression/Expression and communication
- Action and expression/Executive functions

FORMATIVE ASSESSMENT STRATEGIES

- Engineering classroom discussions
- Providing feedback
- Activating students s resources for one another
- Activating learners as the owners of their own learning

EQUIPMENT NEEDED

Computer or Tablet; Internet connection

ESTIMATED TIME

60 minutes

DESCRIPTION

We refer to the activity in Desmos named “Make them balance”
(https://teacher.desmos.com/activitybuilder/custom/5e7272e64e91f10c4dd87821?lang=it&collections=5e44be054273ab1a7f4e7471)

“This lesson uses hangers to explore solutions to equations and systems of equations. Students first explore a single hanger and see that values that balance the hanger are also solutions to an equation and, when plotted, form a line. Then, students encounter two hangers and see that values that balance both hangers are also solutions to both equations and fall on both lines. Using this context, students make sense of systems of equations that have one solution, no solutions, and infinite solutions”.

A guideline for teacher is at disposal.

EDUCATIONAL AIM

The intervention tool is aimed at exploring solutions of equations and systems of equations.

REFERENCES

[1]https://www.desmos.com/?lang=it
[2]Karagiannakis, G. N., Baccaglini-Frank, A. E., & Roussos, P. (2016). Detecting strengths and weaknesses in learning mathematics through a model classifying mathematical skills. Australian J. of Learning Difficulties, 21(2), 115–141.
[3]UDL Principles: http://udlguidelines.cast.org/

INTERVENTION TOOL (PDF)

MONITORING TOOL (PDF)

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The SMiLD project is funded by the European Commission through the Italian National Agency for the Erasmus+ Programme. This web site reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.