Difference between revisions of "AY Honors/Math Skills IV/Requirements"

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{{HonorSubpage}}
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<translate>{{RequirementsHeader}}</translate>
 
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==<translate>Requirements</translate>==
 
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'''1. <section begin=req1 /><translate>
 
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Have the Math Skills III honor.
 
  
 +
<section begin=Body />
  
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</translate><section end=req1 />'''
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<b>1. <section begin=req1 /><noinclude><translate><!--T:1-->
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'''2. <section begin=req2 /><translate>
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</noinclude>Have the Math Skills III honor.
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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=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>
  
−
</translate><section end=req2 />'''
+
<b>3. <section begin=req3 /><noinclude><translate><!--T:3-->
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'''3. <section begin=req3 /><translate>
+
</noinclude>Develop and present the calculations of the following equations:
−
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>
  
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</translate><section end=req3 />'''
+
:<b>b. <section begin=req3b /><noinclude><translate><!--T:5-->
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:'''a. <section begin=req3a /><translate>
+
</noinclude>3x² + 55 = 0
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5x² - 3x - 2 = 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>
  
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</translate><section end=req3a />'''
+
<b>4. <section begin=req4 /><noinclude><translate><!--T:7-->
−
:'''b. <section begin=req3b /><translate>
+
</noinclude>Present and develop the percentage calculations of the following problems:
−
3x² + 55 = 0
+
<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>
  
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</translate><section end=req3b />'''
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:<b>b. <section begin=req4b /><noinclude><translate><!--T:9-->
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:'''c. <section begin=req3c /><translate>
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</noinclude>25% of 1440
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x² - 10x + 25 = 0
+
<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>
  
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</translate><section end=req3c />'''
+
<b>5. <section begin=req5 /><noinclude><translate><!--T:11-->
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'''4. <section begin=req4 /><translate>
+
</noinclude>Present three practical situations, in written form, of situations in which we use percentages in our daily routine.
−
Present and develop the percentage calculations of the following problems:
+
<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>
  
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</translate><section end=req4 />'''
+
<b>7. <section begin=req7 /><noinclude><translate><!--T:13-->
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:'''a. <section begin=req4a /><translate>
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</noinclude>Solve and present the development of the following functions, assuming that f(x) = x - 3 and g(x) = -3x + 4.
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3% of 450
+
<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>
  
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</translate><section end=req4a />'''
+
:<b>b. <section begin=req7b /><noinclude><translate><!--T:15-->
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:'''b. <section begin=req4b /><translate>
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</noinclude>f(f(1)) + g(f(3))
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25% of 1440
+
<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>
  
−
</translate><section end=req4b />'''
+
:<b>a. <section begin=req8a /><noinclude><translate><!--T:17-->
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:'''c. <section begin=req4c /><translate>
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</noinclude>y = 3x-1
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30% of 2500
+
<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 />
  
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</translate><section end=req4c />'''
+
<b>9. <section begin=req9 /><noinclude><translate><!--T:19-->
−
'''5. <section begin=req5 /><translate>
+
</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.
−
Present three practical situations, in written form, of situations in which we use percentages in our daily routine.
+
<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>
  
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</translate><section end=req5 />'''
+
<b>11. <section begin=req11 /><noinclude><translate><!--T:21-->
−
'''6. <section begin=req6 /><translate>
+
</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.
−
Present and develop three practical situations of everyday problems in which we use the quadratic equation.
+
<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>
  
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</translate><section end=req6 />'''
+
:<b>b. <section begin=req11b /><noinclude><translate><!--T:23-->
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'''7. <section begin=req7 /><translate>
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</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.
−
Solve and present the development of the following functions:  
+
<noinclude></translate></noinclude><section end=req11b /></b>
−
 
+
<section end=Body />
−
 
 
−
</translate><section end=req7 />'''
 
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:'''a. <section begin=req7a /><translate>
 
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f(f(0))
 
−
 
 
−
 
 
−
</translate><section end=req7a />'''
 
−
:'''b. <section begin=req7b /><translate>
 
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f(f(1)) + g(f(3))
 
−
 
 
−
 
 
−
</translate><section end=req7b />'''
 
−
'''8. <section begin=req8 /><translate>
 
−
Represent the following functions in a Cartesian graph:  
 
−
 
 
−
 
 
−
</translate><section end=req8 />'''
 
−
:'''a. <section begin=req8a /><translate>
 
−
y = 3x-1
 
−
 
 
−
 
 
−
</translate><section end=req8a />'''
 
−
:'''b. <section begin=req8b /><translate>
 
−
f(x) = 2x + 3
 
−
 
 
−
 
 
−
</translate><section end=req8b />'''
 
−
'''9. <section begin=req9 /><translate>
 
−
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.
 
−
 
 
−
 
 
−
</translate><section end=req9 />'''
 
−
'''10. <section begin=req10 /><translate>
 
−
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.
 
−
 
 
−
 
 
−
</translate><section end=req10 />'''
 
−
'''11. <section begin=req11 /><translate>
 
−
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.
 
−
 
 
−
 
 
−
</translate><section end=req11 />'''
 
−
:'''a. <section begin=req11a /><translate>
 
−
Luciana made an investment of $100 at 2% simple interest a month. How much will she have in total after 8 months of investing?
 
−
 
 
−
 
 
−
</translate><section end=req11a />'''
 
−
:'''b. <section begin=req11b /><translate>
 
−
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.  
 
−
 
 
−
 
 
−
</translate><section end=req11b />'''
 
−
[[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|3}}]]
 
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[[Category:Honor Requirement By Sections|{{#titleparts:{{PAGENAME}}|1|3}}]]
 

Latest revision as of 02:27, 22 July 2022

Other languages:
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Math Skills IV

Skill Level

3

Year

2012

Version

22.11.2024

Approval authority

South American Division

Math Skills IV AY Honor.png
Math Skills IV
Health and Science
Skill Level
123
Approval authority
South American Division
Year of Introduction
2012
See also
Math Skills III



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.

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