Calculation/Mathematics

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

calculation

• MBO: vocational education and training

• Level MBO level calculation1. 2F2. 2F 3. 2F 4. 3F

• Centrale Exam

calculation

• Difference between 2F and 3F

Text & situation

• Clearness of the problem

• Additional and/or fail us to information

• Level of the Dutch language

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

Calculation

Four Domains

1. Numbers

2. Ratios

3. Measuring and Geometry

4. relations

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)

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?

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?

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?

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?

Calculation

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)

Calculation

• Example level 1F RelationsIn 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?

Calculation

• Example level 2F RelationsMinimum 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.

Calculation

• Example level 3F Relations

Calculate of the next numbers the average, the median and the modus.

5 4 7 8 2 3 3 5 6 6 6

a. What is the average?

b. What is the median?

c. What is the modus?

Calculation

• Questions?

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

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 = 4.500cm³

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

2 3 3 4 5 5 6 6 6 7 8 median 5

modus 6