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# Maths key competence 3 ad van den heuvel

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

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### Maths key competence 3 ad van den heuvel

1. 1. Calculation/Mathematics
2. 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. 3. calculation• MBO: vocational education and training• Level MBO level calculation 1. 2F 2. 2F 3. 2F 4. 3F• Centrale Exam
4. 4. calculation• Difference between 2F and 3FText & situation• Clearness of the problem• Additional and/or fail us to information• Level of the Dutch language
5. 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. 6. CalculationFour Domains1. Numbers2. Ratios3. Measuring and Geometry4. relations
7. 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. 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 transportC How many times has one truck to drive to the shops?
9. 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. 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. 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. 12. Calculation
13. 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. 14. Calculation• Example level 1F RelationsIn a supermarket work al lot of young peopleThe manager uses the next table. 4 hours a week 8 hours a week 16 hours a week15 year € 10,40 € 20,80 € 31,2016 year € 11,60 € 23,20 € 34,8017 year € 13,20 € 26,40 € 39,60A 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. 15. Calculation• Example level 2F RelationsMinimum salary of young peopleAge per week per day per hour15 year € 95,60 € 19,12 € 2,3916 year € 109,95 € 21,99 € 2,7517 year € 125,90 € 25,18 € 3,15A 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. 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 6a. What is the average?b. What is the median?c. What is the modus?
17. 17. Calculation• Questions?
18. 18. Calculation• AnswersNumbers 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. 19. Calculation• AnswersM 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 = 4.500cm³Relations 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