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TITLE OF THE INTERVENTION TOOL

Scales, weights and first degree equations

ADDRESS TO

Class

COGNITIVE AREA AND MATHEMATICAL DOMAIN ADDRESSED

Reasoning/Algebra

UNIVERSAL DESIGN FOR LEARNING PRINCIPLES

- Engagement/Sustaining efforts and persistence
- Representation/Language and symbols
- Representation/Comprehension
- Action and expression/Physical action

FORMATIVE ASSESSMENT STRATEGIES

- Engineering classroom discussions
- Providing feedback
- Activating learners as the owners of their own learning

EQUIPMENT NEEDED

• Scale of plates
• Tokens and weights.
• Paper and pencil.

ESTIMATED TIME

30 Minutes

DESCRIPTION

1. Consider a balanced scale such that:


In one of the scales' plates there is a weight of 40 grams and in the other plate there are two equal disks.
a) How much does each disc weigh?
Indicate all performed calculations and reasoning.
b) Represent the weight of a disk by y and write a mathematical expression that translates the described situation.

2. Now consider that another 20 grams weight has been added to each of the plates.


a) Will the balance remain balanced?
b) What will the weight of each disc be now?
c) Represent the weight of a disk as z and write a mathematical expression that translates the described situation.
d) What do you conclude about the calculated

EDUCATIONAL AIM

With this task it is intended that the student establishes a relationship between an equation and a balanced scale and translates the situation into mathematical language.
It is intended that the student uses letters to represent variables or unknowns and understands the principles of equivalence, describing them and solving equations of
degree 1.

REFERENCES

Oliveira, H., A Álgebra no Novo Programa de Matemática do Ensino Básico, Educação e Matemática, 105, 83-86, (2009).

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.