Intervention and Monitoring Tools

Exploring solutions of equations and systems of equations

Class

Reasoning/Algebra

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

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

Computer or Tablet; Internet connection

60 minutes

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.

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

[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 2.pdf

Monitoring Tool 2.pdf