Difference between revisions of "AY Honors/Math Skills IV/Requirements"
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| + | |||
| + | <section begin=Body /> | ||
| + | |||
| + | <b>1. <section begin=req1 /><noinclude><translate><!--T:1--> | ||
| + | </noinclude>Have the Math Skills III honor. | ||
| + | <noinclude></translate></noinclude><section end=req1 /></b> | ||
| + | |||
| + | <b>2. <section begin=req2 /><noinclude><translate><!--T:2--> | ||
| + | </noinclude>Present a bibliographic report with at least five persons who contributed to the development of mathematics throughout the history of mankind. | ||
| + | <noinclude></translate></noinclude><section end=req2 /></b> | ||
| + | |||
| + | <b>3. <section begin=req3 /><noinclude><translate><!--T:3--> | ||
| + | </noinclude>Develop and present the calculations of the following equations: | ||
| + | <noinclude></translate></noinclude><section end=req3 /></b> | ||
| + | |||
| + | :<b>a. <section begin=req3a /><noinclude><translate><!--T:4--> | ||
| + | </noinclude>5x² - 3x - 2 = 0 | ||
| + | <noinclude></translate></noinclude><section end=req3a /></b> | ||
| + | |||
| + | :<b>b. <section begin=req3b /><noinclude><translate><!--T:5--> | ||
| + | </noinclude>3x² + 55 = 0 | ||
| + | <noinclude></translate></noinclude><section end=req3b /></b> | ||
| + | |||
| + | :<b>c. <section begin=req3c /><noinclude><translate><!--T:6--> | ||
| + | </noinclude>x² - 10x + 25 = 0 | ||
| + | <noinclude></translate></noinclude><section end=req3c /></b> | ||
| + | |||
| + | <b>4. <section begin=req4 /><noinclude><translate><!--T:7--> | ||
| + | </noinclude>Present and develop the percentage calculations of the following problems: | ||
| + | <noinclude></translate></noinclude><section end=req4 /></b> | ||
| + | |||
| + | :<b>a. <section begin=req4a /><noinclude><translate><!--T:8--> | ||
| + | </noinclude>3% of 450 | ||
| + | <noinclude></translate></noinclude><section end=req4a /></b> | ||
| + | |||
| + | :<b>b. <section begin=req4b /><noinclude><translate><!--T:9--> | ||
| + | </noinclude>25% of 1440 | ||
| + | <noinclude></translate></noinclude><section end=req4b /></b> | ||
| + | |||
| + | :<b>c. <section begin=req4c /><noinclude><translate><!--T:10--> | ||
| + | </noinclude>30% of 2500 | ||
| + | <noinclude></translate></noinclude><section end=req4c /></b> | ||
| + | |||
| + | <b>5. <section begin=req5 /><noinclude><translate><!--T:11--> | ||
| + | </noinclude>Present three practical situations, in written form, of situations in which we use percentages in our daily routine. | ||
| + | <noinclude></translate></noinclude><section end=req5 /></b> | ||
| + | |||
| + | <b>6. <section begin=req6 /><noinclude><translate><!--T:12--> | ||
| + | </noinclude>Present and develop three practical situations of everyday problems in which we use the quadratic equation. | ||
| + | <noinclude></translate></noinclude><section end=req6 /></b> | ||
| + | |||
| + | <b>7. <section begin=req7 /><noinclude><translate><!--T:13--> | ||
| + | </noinclude>Solve and present the development of the following functions, assuming that f(x) = x - 3 and g(x) = -3x + 4. | ||
| + | <noinclude></translate></noinclude><section end=req7 /></b> | ||
| + | |||
| + | :<b>a. <section begin=req7a /><noinclude><translate><!--T:14--> | ||
| + | </noinclude>f(f(0)) | ||
| + | <noinclude></translate></noinclude><section end=req7a /></b> | ||
| + | |||
| + | :<b>b. <section begin=req7b /><noinclude><translate><!--T:15--> | ||
| + | </noinclude>f(f(1)) + g(f(3)) | ||
| + | <noinclude></translate></noinclude><section end=req7b /></b> | ||
| + | |||
| + | <section begin=challenge /> | ||
| + | <b>8. <section begin=req8 /><noinclude><translate><!--T:16--> | ||
| + | </noinclude>Represent the following functions in a Cartesian graph: | ||
| + | <noinclude></translate></noinclude><section end=req8 /></b> | ||
| + | |||
| + | :<b>a. <section begin=req8a /><noinclude><translate><!--T:17--> | ||
| + | </noinclude>y = 3x-1 | ||
| + | <noinclude></translate></noinclude><section end=req8a /></b> | ||
| + | |||
| + | :<b>b. <section begin=req8b /><noinclude><translate><!--T:18--> | ||
| + | </noinclude>f(x) = 2x + 3 | ||
| + | <noinclude></translate></noinclude><section end=req8b /></b> | ||
| + | <section end=challenge /> | ||
| + | |||
| + | <b>9. <section begin=req9 /><noinclude><translate><!--T:19--> | ||
| + | </noinclude>Demonstrate the ability to solve problems with circles; how to calculate the circumference and area using the formula for each. Present two examples of each. | ||
| + | <noinclude></translate></noinclude><section end=req9 /></b> | ||
| + | |||
| + | <b>10. <section begin=req10 /><noinclude><translate><!--T:20--> | ||
| + | </noinclude>Present the ability to calculate the area of regular polygons, such as a hexagon inscribed in a circle, area of a cylinder surface, volume of a prism, and the volume of a pyramid. | ||
| + | <noinclude></translate></noinclude><section end=req10 /></b> | ||
| + | |||
| + | <b>11. <section begin=req11 /><noinclude><translate><!--T:21--> | ||
| + | </noinclude>In our daily routine, we have to deal with all prices of tax rates. Demonstrate the ability to solve the two most common situations of interest. | ||
| + | <noinclude></translate></noinclude><section end=req11 /></b> | ||
| + | |||
| + | :<b>a. <section begin=req11a /><noinclude><translate><!--T:22--> | ||
| + | </noinclude>Luciana made an investment of $100 at 2% simple interest a month. How much will she have in total after 8 months of investing? | ||
| + | <noinclude></translate></noinclude><section end=req11a /></b> | ||
| + | |||
| + | :<b>b. <section begin=req11b /><noinclude><translate><!--T:23--> | ||
| + | </noinclude>David asked for a bank loan of $3000 and will pay in 6 months a composite interest rate of 1.5% a month. Calculate the total to be paid to the bank after 6 months. | ||
| + | <noinclude></translate></noinclude><section end=req11b /></b> | ||
| + | <section end=Body /> | ||
Latest revision as of 02:27, 22 July 2022
Math Skills IV
Skill Level
3
Year
2012
Version
26.11.2024
Approval authority
South American Division
1. Have the Math Skills III honor.
2. Present a bibliographic report with at least five persons who contributed to the development of mathematics throughout the history of mankind.
3. Develop and present the calculations of the following equations:
- a. 5x² - 3x - 2 = 0
- b. 3x² + 55 = 0
- c. x² - 10x + 25 = 0
4. Present and develop the percentage calculations of the following problems:
- a. 3% of 450
- b. 25% of 1440
- c. 30% of 2500
5. Present three practical situations, in written form, of situations in which we use percentages in our daily routine.
6. Present and develop three practical situations of everyday problems in which we use the quadratic equation.
7. Solve and present the development of the following functions, assuming that f(x) = x - 3 and g(x) = -3x + 4.
- a. f(f(0))
- b. f(f(1)) + g(f(3))
8. Represent the following functions in a Cartesian graph:
- a. y = 3x-1
- b. f(x) = 2x + 3
9. Demonstrate the ability to solve problems with circles; how to calculate the circumference and area using the formula for each. Present two examples of each.
10. Present the ability to calculate the area of regular polygons, such as a hexagon inscribed in a circle, area of a cylinder surface, volume of a prism, and the volume of a pyramid.
11. In our daily routine, we have to deal with all prices of tax rates. Demonstrate the ability to solve the two most common situations of interest.
- a. Luciana made an investment of $100 at 2% simple interest a month. How much will she have in total after 8 months of investing?
- b. David asked for a bank loan of $3000 and will pay in 6 months a composite interest rate of 1.5% a month. Calculate the total to be paid to the bank after 6 months.
