CoSSOL Key competence 3. Made by Ad van den Heuvel, professor of Maths, International Businessschool of Koning Willem I College.

1. Calculation/Mathematics

2. Calculation
We have 4 levels for calculation:
1F (Primary School)
2F(Primary Vocational School)
3F(High school and MBO level 4 = VET)
4F(Pre-University Education)
• VMBO: pre-vocational education/ preparatory secondary education
• MBO: vocational education and training (KW1C)
• HBO: polytechnic college
• HAVO: higher general education
• VWO: preparing science education

3. calculation
• MBO: vocational education and training
• Level MBO level calculation
1. 2F
2. 2F
3. 2F
4. 3F
• Centrale Exam

4. calculation
• Difference between 2F and 3F
Text & situation
• Clearness of the problem
• Additional and/or fail us to information
• Level of the Dutch language

5. calculation
• Difference between 2F and 3F
• Calculation aspects
• More or less complexity of
numerical/geometrical information
• Kind of skills (simple-complex)
• Expected number of calculation steps

6. Calculation
Four Domains
1. Numbers
2. Ratios
3. Measuring and Geometry
4. relations

7. Calculation
• Example level 1F Numbers
• 24 x 75(without calculator) =
• Example level 2F numbers
• Tamara travels every day 25 kilometer. A
year has 365 days. How many kilometer
does she travel in one year? (without
calculator)

8. Calculation example level 3F
numbers
• A ship transports 50.000 big boxes with blue-ray boxes. in every big box fits
36 blue -ray boxes. In every blue-ray box fits 6 blue-ray discs. Trucks
transport the big boxes from the harbor to the shops. Every truck can
transport 240 big boxes.
A How many blue-ray discs can a ship transport?
B How many blue-ray boxes can a truck transport
C How many times has one truck to drive to the shops?

9. Calculation
• Example level 1F Ratios
• Six cans of coke cost € 3.00. What is price
of 2 cans? (without calculator)
• Example level 2F Ratios
• You are going on holidays to Switzerland.
You get for € 100 145 francs. You gave
€ 80 to the bank. How many francs will
you get?

10. Calculation example level 3F
Ratios
• You buy cheese at a supermarket. You get a discount of 35%. You have to
pay € 3,25.
• How many discount did you get in Euros and what is the price without
discount?

11. Calculation
• Example level 1F Measuring and
geometry
• What is the surface of a rectangle of 80m by 1hm in m²?
• Example level 2F Measuring and
geometry
• What is the surface of a rectangle of 250cm by 6m in dm²?

12. Calculation

13. Calculation
• Example level 3F Measuring and
geometry
• You have a box of 30cm by 15cm by
10cm. What is the surface of the box?
(show the calculation)
• What is the volume of the box? (show the
calculation)

14. Calculation
• Example level 1F Relations
In a supermarket work al lot of young people
The manager uses the next table.
4 hours a week 8 hours a week 16 hours a week
15 year € 10,40 € 20,80 € 31,20
16 year € 11,60 € 23,20 € 34,80
17 year € 13,20 € 26,40 € 39,60
A what is the salary for a boy of 17 years old and works 16 hours a week?
B What is the salary for a boy of 16 years old and works 8 hours a week?

15. Calculation
• Example level 2F Relations
Minimum salary of young people
Age per week per day per hour
15 year € 95,60 € 19,12 € 2,39
16 year € 109,95 € 21,99 € 2,75
17 year € 125,90 € 25,18 € 3,15
A Marissa is 16 years old. She works 12 hours per week. What is his salary per week?
B Marissa is in 2 weeks 17 years old. She still works 12 hours a week. Show us by
calculation what she will get more per week.

16. Calculation
• Example level 3F Relations
Calculate of the next numbers the average, the median and the modus.
54 7 8 2 3 3 5 6 6 6
a. What is the average?
b. What is the median?
c. What is the modus?

17. Calculation
• Questions?

18. Calculation
• Answers
Numbers 1F 24 x 75 = 1.800
2F 365 x 25 = 9.125
3F 50.000 x 36 x 6 = 10.800.000
240 x 36 = 8.640
50.000/240 = 208.333 (209)
Ratios 1F (€ 3 / 6) x 2 = €1
2F (145 / 100) x 80 = 116 francs
3F (€ 3,25 / 65) x 35 = € 1,75
€ 3,25 + € 1,75 = €5

19. Calculation
• Answers
M and Geo 1F 80m x 1hm = 80m x 100m = 8.000 m²
2F 250cm x 6m = 25dm x 60dm = 1.500dm²
3F 30cm x 15cm = 450cm²
30cm x 15cm x 10cm = 4.500cm³
Relations 1F € 39,60
€ 23,20
2F 12 x € 2,75 = € 33,00
12 x (€ 3,15 - € 2,75) = € 4,80
3F (5 + 4 + 7 + 8 + 2 + 3 + 3 + 5 + 6 + 6 + 6) / 11 = 5
23345566678 median 5
modus 6