Learning Fractions, Aligning Volume Fractions

5th Grade Maths: Fractions
Chapter: 1 Page: 84 (Turkish Educational System)

Go to the lesson

 

 

maths 

Materials for the lesson

– 11 students

–  90cm wide of 4 hula-hoop rings

Layout of the classroom

The event will be organized in a U layouted classroom.

Phase 1

Teacher;
The hula-hoop rings are randomly placed at distant locations. Randomly calls up 11 students and says that each of them is a dancer, they should show a dance performance.

Phase 2

He tells one of these students to go into the No. 1 hula-hoop ring. He tells two students among the others to enter into the No. 2 ring, the three students into the No. 3 ring, and the remaining 5 learners into the No. 4 ring and telling them to dance without stepping out of the ring.

Phase 3

The teacher asks the students in the ring in turn, “Which of you are dancing more comfortably?” Student No. 1 in the ring says that he “danced comfortably” The students in the 2nd ring say that they are “a little difficult when they dance” Students in the 3rd ring say “they cannot dance comfortably” Students in the 4th ring say that they cannot move freely because they do not have any dancing areas.

Phase 4

The reason is asked to the students.

The student who is in the No. 1 ring says that “there is a lot of space, that you can dance comfortably”
Students in rings 2, 3 and 4, respectively, say that “their field of motion is gradually diminishing, so they cannot dance comfortably”.

Phase 5

In this case the teacher intervenes. Every dancer in the Hula-hoop ring represents a unit fraction.
The student in the No. 1 ring is able to dance comfortably as more space is available, and the unit fraction here is bigger.
He says that the unit fractions here are smaller, since the area to be danced cannot be comfortably danced because it gets smaller and smaller as you go towards the fourth circle.