Identify, Name and Write Equivalent Fractions of a Given Fraction, Represented Visually, Including Tenths and Hundredths 2 - Reasoning

In this stage of learning, students are tasked with identifying, naming, and writing equivalent fractions for a given fraction that is visually represented. This includes understanding tenths and hundredths, which are fundamental concepts in the decimal system. The visual aspect of the lesson aids in grasping the idea that different fractions can express the same value. For instance, a fraction such as 1/2 can be represented by 2/4, 3/6, or 50/100, all of which are equivalent because they divide a whole into equal parts that collectively make up the same proportion of that whole.

The reasoning component of this lesson encourages students to delve deeper into the concept of equivalent fractions. They learn to justify why two fractions are equivalent by using visual aids like fraction strips, grids, or circles. This visual representation is crucial as it provides a concrete understanding of how fractions can be broken down into smaller units while still maintaining their value. For example, a student might be shown a circle divided into 100 parts and asked to shade in 50 parts to represent 50/100, then to show that this is equivalent to 1/2 of the circle. Through activities like these, students develop their reasoning skills, enabling them to articulate the process of finding equivalent fractions and understand their application in various mathematical contexts.