Math lesson - The Bus

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This document summarizes an educational role-playing activity where students track the number of boys and girls getting on and off a bus at different stops. The activity uses symbols to represent people and the bus and has students solve problems by filling in charts showing how many people get off and on at each stop and the total number of people on the bus. The document reviews the activity and examples to ensure students understand the concepts and provides additional challenges for students to find other possible solutions.

Education

$20 October 2015, by the Czech Republic „The BUS“ This project was funded by European Union. „Teaching: An effective key to self-learning“ for project:$

ENGLISH
Boy
Girl
People
Bus stop
Bus driver
Get on
Get off
Are in the bus
ITALIAN
Ragazzo
Ragazza
Persone
Alla fermata del bus
Autista di autobus
Salire
Scendere
Sono nel bus
CZECH
Chlapec
Dívka
Lidé
Zastávka
Řidič
Nastoupit
Vystoupit
Jsou v autobusu
Listen, read and repeat these words:

Listen carefully to
your „teacher“
Michaela and
watch what the
girls will do!

Look at the pictures and remember:
A triangle represents a girl and a square is a boy.
Watch our bus and count how many boys and girls
will get on and who will get off.
get
ON
get
OFF
are
IN

The names of the cities are the bus stops.
And we need a box which represents the bus.
First, we will write how many people got OFF the bus.
Then we will write how many people got ON the bus.
Last, we will count the people who are IN the bus.
Bus stop 1
MILANO
Bus stop 2
ROME
Bus stop 3
DESIO
Bus stop 4
MONZA
GET
OFF
GET
ON
IN
THE BUS

Four girls got on in Milano.
How many people were in the bus?
Two girls got off in Desio.
One girl got on.
How many people were in the bus?
No one got off in the third stop.
One girl got on.
How many people were in the bus?
How many people got off in Rome?
How many people got on in Rome?
How many people were in the bus?

Check your answers.
Let´s watch again our role-play.
Bus stop 1
MILANO
Bus stop 2
ROME
Bus stop 3
DESIO
Bus stop 4
MONZA
GET
OFF 0 2 0 4
GET
ON 4 1 1 0
IN
THE BUS 4 3 4 0

Four girls got on in Milano.
How many people were in the bus? 4
Two girls got off in Desio.
One girl got on.
How many people were in the bus? 3
No one got off in the third stop.
One girl got on.
How many people were in the bus? 4
How many people got off in Rome? 4
How many people got on in Rome? 0
Why it? It is the LAST stop.
How many people were in the bus? 0
Why? It is the LAST stop.

A B C D E
GET
OFF
GET
ON
TOTAL 0
IN
THE BUS
6 X
Fill in the numbers and pictograms.
Find all solutions, explain why there
are not more solutions.

A B C D E
GET
OFF 0 * **
GET
ON 0
TOTAL 4 + 0 2 + 4 4 + 6 0
IN
THE BUS
4 6 10 X
a) If 0 or 1 boy gets off, then we will have more
than 2 on the bus. But we need only 2 boys.
b) If 2 boys get off, then no boy can get on.
c) If 3 boys get off, then one boy must get on.
d) If 4 boys get off, then two boys must get on.*

A B C D E
GET
OFF 0 * **
GET
ON 0
TOTAL 4 + 0 2 + 4 4 + 6 0
IN
THE BUS
4 6 10 X
a) If 0 or 1 or 2 or 3 or 4 girls get off, then we will have
more than 1 on the bus. But we need only 1 girl.
b) If 5 girls get off, then no girl can get on.
c) If 6 girls get off, then one girl must get on.
**

Now we need to find all combination of the 3
possibilities for boys with the 2 possibilities for girls:
1) 2 boys get off and 5 girls get off/
0 boy gets on and 0 girl gets on
2) 2 boys get off and 6 girls get off/
0 boy gets on and 1 girl gets on
3) 3 boys get off and 5 girls get off/
1 boy gets on and 0 girl gets on
4) 3 boys get off and 6 girls get off/
1 boy gets on and 1 girl gets on
5) 4 boys get off and 5 girls get off/
2 boys get on and 0 girl gets on
6) 4 boys get off and 6 girls get off/
2 boys get on and 1 girl gets on

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Math lesson - The Bus

1. 20 October 2015, by the Czech Republic „The BUS“ This project was funded by European Union. „Teaching: An effective key to self-learning“ for project:

3. ENGLISH Boy Girl People Bus stop Bus driver Get on Get off Are in the bus ITALIAN Ragazzo Ragazza Persone Alla fermata del bus Autista di autobus Salire Scendere Sono nel bus CZECH Chlapec Dívka Lidé Zastávka Řidič Nastoupit Vystoupit Jsou v autobusu Listen, read and repeat these words:

4. Listen carefully to your „teacher“ Michaela and watch what the girls will do!

7. Look at the pictures and remember: A triangle represents a girl and a square is a boy. Watch our bus and count how many boys and girls will get on and who will get off. get ON get OFF are IN

8. The names of the cities are the bus stops. And we need a box which represents the bus. First, we will write how many people got OFF the bus. Then we will write how many people got ON the bus. Last, we will count the people who are IN the bus. Bus stop 1 MILANO Bus stop 2 ROME Bus stop 3 DESIO Bus stop 4 MONZA GET OFF GET ON IN THE BUS

9. Four girls got on in Milano. How many people were in the bus? Two girls got off in Desio. One girl got on. How many people were in the bus? No one got off in the third stop. One girl got on. How many people were in the bus? How many people got off in Rome? How many people got on in Rome? How many people were in the bus?

10. Check your answers. Let´s watch again our role-play. Bus stop 1 MILANO Bus stop 2 ROME Bus stop 3 DESIO Bus stop 4 MONZA GET OFF 0 2 0 4 GET ON 4 1 1 0 IN THE BUS 4 3 4 0

11. Four girls got on in Milano. How many people were in the bus? 4 Two girls got off in Desio. One girl got on. How many people were in the bus? 3 No one got off in the third stop. One girl got on. How many people were in the bus? 4 How many people got off in Rome? 4 How many people got on in Rome? 0 Why it? It is the LAST stop. How many people were in the bus? 0 Why? It is the LAST stop.

12.

13. 4 0 4 53 0 4

14.

15.

16.

17. A B C D E GET OFF GET ON TOTAL 0 IN THE BUS 6 X Fill in the numbers and pictograms. Find all solutions, explain why there are not more solutions.

18. A B C D E GET OFF 0 * ** GET ON 0 TOTAL 4 + 0 2 + 4 4 + 6 0 IN THE BUS 4 6 10 X a) If 0 or 1 boy gets off, then we will have more than 2 on the bus. But we need only 2 boys. b) If 2 boys get off, then no boy can get on. c) If 3 boys get off, then one boy must get on. d) If 4 boys get off, then two boys must get on.*

19. A B C D E GET OFF 0 * ** GET ON 0 TOTAL 4 + 0 2 + 4 4 + 6 0 IN THE BUS 4 6 10 X a) If 0 or 1 or 2 or 3 or 4 girls get off, then we will have more than 1 on the bus. But we need only 1 girl. b) If 5 girls get off, then no girl can get on. c) If 6 girls get off, then one girl must get on. **

20. Now we need to find all combination of the 3 possibilities for boys with the 2 possibilities for girls: 1) 2 boys get off and 5 girls get off/ 0 boy gets on and 0 girl gets on 2) 2 boys get off and 6 girls get off/ 0 boy gets on and 1 girl gets on 3) 3 boys get off and 5 girls get off/ 1 boy gets on and 0 girl gets on 4) 3 boys get off and 6 girls get off/ 1 boy gets on and 1 girl gets on 5) 4 boys get off and 5 girls get off/ 2 boys get on and 0 girl gets on 6) 4 boys get off and 6 girls get off/ 2 boys get on and 1 girl gets on

21. First, we revised the digital numbers.

22. Pick 6 crayons, please 

23. Can you find more?

Math lesson - The Bus

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