An open lesson on fractional numbers was held at a secondary school in Bulgaria using the creative classroom method from the MATHDebate project. [1] Students were tasked with representing fractions using pictures of chocolate bars and cake and solving word problems involving fractions. [2] The lesson covered key fractional number concepts like numerators, denominators and representing a fraction as the number of parts out of the whole. [3] Students worked individually on problems representing and interpreting fractions.

2. AT „ST. KLIMENT OHRIDSKI“ SECONDARY SCHOOL -
AKSAKOVO, BULGARIA,
an open lesson on „Fractional Numbers“ has been held, based on the methods
of the project „MATHDebate – the Voice of Students – Searching Excellence in
Math Education through Increasing the Motivation for Learning“
The students were offered several methods to choose from:
Creative classroom Presentation Group method

3. The students chose the method
CREATIVE CLASSROOM

4. Mitko has ONE chocolate and many friends.

5. 3) If he shares his
chocolate with his little
brother Oggy, too, how
much chocolate will eat
each of them?
1) If he divides his
chocolate with his
friend Vanko, will they
receive one chocolate
each?
2) If, besides Vanko,
he also treats
Gosho, will they
receive one
chocolate each?

7. 1
2
1:2
1
3
1:3
1
4
1
6
1:61:4
Mark the remaining white parts of the pictures with a fraction.

8. 𝟏
𝟐
1:2
𝟐
𝟑
1:3
𝟑
𝟒
𝟓
𝟔
1:61:4

9. FRACTIONAL NUMBERS
а
𝑏
numerator
line (division)
denominator
в – the denominator shows how
many equal parts a whole number
is divided into
а – the numerator shows how
many of these equal parts we have
taken

11. Problems
for individual work
а) Mark the dark parts with a fraction.

12. Problems
for individual work
1
2
2
4
2
3
3
8
3
10
4
6
2
5

13. Problems
for individual work
b) Mark the light parts with a fraction.

14. Problems
for individual work
Explain what each fraction shows.
c) Mark the light parts with a fraction.
.
1
2
2
4
1
3
3
8
7
10
2
6
3
5

16. Shade the following fractions.
Problems
for individual work
𝟑
𝟓
𝟕
𝟏𝟎
𝟕
𝟏𝟐

17. Shade the following fractions.
Problems
for individual work
𝟑
𝟓
𝟕
𝟏𝟎
𝟕
𝟏𝟐

19. Mitko has a birthday party and has invited his fifteen
friends.
How many pieces will he have to cut the cake?
With which fraction, the part that represents each
piece, is put down?
Problems
for individual work

20. SOLUTION
15 friends + Mitko = 16 children
We cut the cake into 16 equal pieces..
1: 16 =
1
16
part
Each piece is
1
16
part of the cake.

22. Ivo and Vanya received a chocolate with 10 bars for
the problems they had solved.
Vanya ate 4 bars, and Ivo – the rest.
Which fractions indicates what part of the chocolate
each child has eaten?
Problems
for individual work

23. SOLUTION
Vanya
4
10
pieces of the chocolate
Ivo
6
10
pieces of the chocolate

24. Presented by: Snezhana Semova, Svetozara Karacheviyska, Rositsa Velichkova