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

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< AY Honors‎ | Math Skills IIIAY Honors/Math Skills III/Requirements
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<languages /><br />
 
<languages /><br />
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<translate>{{RequirementsHeader}}</translate>
 
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==<translate>Requirements</translate>==
 
  
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<b>1. <translate><section begin=req1 />Have the Math Skills II honor.
+
{{RequirementsHeader{{GetLangSuffix}}}}
−
<section end=req1 /></translate></b>
 
  
−
<b>2. <translate><section begin=req2 />Solve the following operations using the traditional algorithm:
+
<section begin=Body />
−
<section end=req2 /></translate></b>
 
  
−
:<b>a. <translate><section begin=req2a />641 + 135
 
−
<section end=req2a /></translate></b>
 
  
−
:<b>b. <translate><section begin=req2b />845 - 124
+
<b>1. <section begin=req1 /><noinclude><translate></noinclude>Have the Math Skills II honor.
−
<section end=req2b /></translate></b>
+
<noinclude></translate></noinclude><section end=req1 /></b>
  
−
:<b>c. <translate><section begin=req2c />34 x 125
+
<b>2. <section begin=req2 /><noinclude><translate></noinclude>Solve the following operations using the traditional algorithm:
−
<section end=req2c /></translate></b>
+
<noinclude></translate></noinclude><section end=req2 /></b>
  
−
:<b>d. <translate><section begin=req2d />856 ÷ 24
+
:<b>a. <section begin=req2a /><noinclude><translate></noinclude>641 + 135
−
<section end=req2d /></translate></b>
+
<noinclude></translate></noinclude><section end=req2a /></b>
  
−
<b>3. <translate><section begin=req3 />Identify and classify the numerical sets.
+
:<b>b. <section begin=req2b /><noinclude><translate></noinclude>845 - 124
−
<section end=req3 /></translate></b>
+
<noinclude></translate></noinclude><section end=req2b /></b>
  
−
<b>4. <translate><section begin=req4 />Demonstrate the ability to solve the following equations:
+
:<b>c. <section begin=req2c /><noinclude><translate></noinclude>34 x 125
−
<section end=req4 /></translate></b>
+
<noinclude></translate></noinclude><section end=req2c /></b>
  
−
:<b>a. <translate><section begin=req4a />2x - 10  -4x + 14
+
:<b>d. <section begin=req2d /><noinclude><translate></noinclude>856 ÷ 24
−
<section end=req4a /></translate></b>
+
<noinclude></translate></noinclude><section end=req2d /></b>
  
−
:<b>b. <translate><section begin=req4b />18x - 43  65
+
<b>3. <section begin=req3 /><noinclude><translate></noinclude>Identify and classify the numerical sets.
−
<section end=req4b /></translate></b>
+
<noinclude></translate></noinclude><section end=req3 /></b>
  
−
:<b>c. <translate><section begin=req4c />23x - 16  14 - 17x
+
<b>4. <section begin=req4 /><noinclude><translate></noinclude>Demonstrate the ability to solve the following equations:
−
<section end=req4c /></translate></b>
+
<noinclude></translate></noinclude><section end=req4 /></b>
  
−
:<b>d. <translate><section begin=req4d />10y - 5(1 + y) 3(2y - 2) - 20
+
:<b>a. <section begin=req4a /><noinclude><translate></noinclude>2x - 10 -4x + 14
−
<section end=req4d /></translate></b>
+
<noinclude></translate></noinclude><section end=req4a /></b>
  
−
:<b>e. <translate><section begin=req4e />x(x + 4) + x(x + 2) 2x² + 12
+
:<b>b. <section begin=req4b /><noinclude><translate></noinclude>18x - 43 65
−
<section end=req4e /></translate></b>
+
<noinclude></translate></noinclude><section end=req4b /></b>
  
−
:<b>f. <translate><section begin=req4f />(x - 5) / 10 + (1 - 2x) / 5 (3-x) / 4
+
:<b>c. <section begin=req4c /><noinclude><translate></noinclude>23x - 16 14 - 17x
−
<section end=req4f /></translate></b>
+
<noinclude></translate></noinclude><section end=req4c /></b>
  
−
:<b>g. <translate><section begin=req4g />4x(x + 6) - x²  5x²
+
:<b>d. <section begin=req4d /><noinclude><translate></noinclude>10y - 5(1 + y)  3(2y - 2) - 20
−
<section end=req4g /></translate></b>
+
<noinclude></translate></noinclude><section end=req4d /></b>
  
−
<b>5. <translate><section begin=req5 />Demonstrate the ability to solve the following products:
+
:<b>e. <section begin=req4e /><noinclude><translate></noinclude>x(x + 4) + x(x + 2)  2x² + 12
−
<section end=req5 /></translate></b>
+
<noinclude></translate></noinclude><section end=req4e /></b>
  
−
:<b>a. <translate><section begin=req5a />(x + 3y)  
+
:<b>f. <section begin=req4f /><noinclude><translate></noinclude>(x - 5) / 10 + (1 - 2x) / 5  (3-x) / 4
−
<section end=req5a /></translate></b>
+
<noinclude></translate></noinclude><section end=req4f /></b>
  
−
:<b>b. <translate><section begin=req5b />(a5 + 2bc)²
+
:<b>g. <section begin=req4g /><noinclude><translate></noinclude>4x(x + 6) - x²  5x²
−
<section end=req5b /></translate></b>
+
<noinclude></translate></noinclude><section end=req4g /></b>
  
−
:<b>c. <translate><section begin=req5c />(3x + y²)²
+
<b>5. <section begin=req5 /><noinclude><translate></noinclude>Demonstrate the ability to solve the following products:
−
<section end=req5c /></translate></b>
+
<noinclude></translate></noinclude><section end=req5 /></b>
  
−
:<b>d. <translate><section begin=req5d />(1 + 5m)(1 - 5m)  
+
:<b>a. <section begin=req5a /><noinclude><translate></noinclude>(x + 3y)  
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<section end=req5d /></translate></b>
+
<noinclude></translate></noinclude><section end=req5a /></b>
  
−
:<b>e. <translate><section begin=req5e />(ab - c)²  
+
:<b>b. <section begin=req5b /><noinclude><translate></noinclude>(a5 + 2bc)²  
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<section end=req5e /></translate></b>
+
<noinclude></translate></noinclude><section end=req5b /></b>
  
−
:<b>f. <translate><section begin=req5f />(m - 1)³
+
:<b>c. <section begin=req5c /><noinclude><translate></noinclude>(3x + y²)²
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<section end=req5f /></translate></b>
+
<noinclude></translate></noinclude><section end=req5c /></b>
  
−
:<b>g. <translate><section begin=req5g />(a³ - b³) (a³ + b³)  
+
:<b>d. <section begin=req5d /><noinclude><translate></noinclude>(1 + 5m)(1 - 5m)  
−
<section end=req5g /></translate></b>
+
<noinclude></translate></noinclude><section end=req5d /></b>
  
−
<b>6. <translate><section begin=req6 />Calculate the area of ​​the following figures:
+
:<b>e. <section begin=req5e /><noinclude><translate></noinclude>(ab - c)²
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<section end=req6 /></translate></b>
+
<noinclude></translate></noinclude><section end=req5e /></b>
  
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<b>7. <translate><section begin=req7 />In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Orienteering|Orienteering]] honor, the Pathfinder must have knowledge of angles to know how to use cartographic charts and to use a compass. Demonstrate the ability to convert angles to minutes, minutes to seconds, showing three practical examples.
+
:<b>f. <section begin=req5f /><noinclude><translate></noinclude>(m - 1)³
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<section end=req7 /></translate></b>
+
<noinclude></translate></noinclude><section end=req5f /></b>
  
−
<b>8. <translate><section begin=req8 />In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Pioneering|Pioneering]] honor, we learned to build camp furniture, which has a whole mathematical relationship. Design and present some camp furniture where geometric shapes appear and classify each one. Cite three examples.
+
:<b>g. <section begin=req5g /><noinclude><translate></noinclude>(a³ - b³) (a³ + b³)
−
<section end=req8 /></translate></b>
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<noinclude></translate></noinclude><section end=req5g /></b>
  
−
<b>9. <translate><section begin=req9 />Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.
+
<b>6. <section begin=req6 /><noinclude><translate></noinclude>Calculate the area of ​​the following figures:
−
<section end=req9 /></translate></b>
+
<noinclude></translate></noinclude><section end=req6 /></b>
  
−
<b>10. <translate><section begin=req10 />Demonstrate the ability to solve the following proportion problems:
+
<b>7. <section begin=req7 /><noinclude><translate></noinclude>In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Orienteering|Orienteering]] honor, the Pathfinder must have knowledge of angles to know how to use cartographic charts and to use a compass. Demonstrate the ability to convert angles to minutes, minutes to seconds, showing three practical examples.
−
<section end=req10 /></translate></b>
+
<noinclude></translate></noinclude><section end=req7 /></b>
  
−
:<b>a. <translate><section begin=req10a />At 60 km/h I travel between two cities in two hours. Traveling at 80 km/h, what is the estimated time to travel this route?
+
<b>8. <section begin=req8 /><noinclude><translate></noinclude>In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Pioneering|Pioneering]] honor, we learned to build camp furniture, which has a whole mathematical relationship. Design and present some camp furniture where geometric shapes appear and classify each one. Cite three examples.
−
<section end=req10a /></translate></b>
+
<noinclude></translate></noinclude><section end=req8 /></b>
  
−
:<b>b. <translate><section begin=req10b />At an average of 90 km/h, I can make a journey in three hours. To make this journey in just two hours, what should my average speed be?
+
<b>9. <section begin=req9 /><noinclude><translate></noinclude>Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.
−
<section end=req10b /></translate></b>
+
<noinclude></translate></noinclude><section end=req9 /></b>
  
−
:<b>c. <translate><section begin=req10c />If 20 men working for 20 days build 500 meters of a wall, how many men will it take to build 1000 meters more of this wall in 30 days?
+
<b>10. <section begin=req10 /><noinclude><translate></noinclude>Demonstrate the ability to solve the following proportion problems:
−
<section end=req10c /></translate></b>
+
<noinclude></translate></noinclude><section end=req10 /></b>
  
−
<b>11. <translate><section begin=req11 />Demonstrate the ability to solve problem situations involving equations:
+
:<b>a. <section begin=req10a /><noinclude><translate></noinclude>At 60 km/h I travel between two cities in two hours. Traveling at 80 km/h, what is the estimated time to travel this route?
−
<section end=req11 /></translate></b>
+
<noinclude></translate></noinclude><section end=req10a /></b>
  
−
:<b>a. <translate><section begin=req11a />I have the following choice: I buy 20 units of a product with all the money I have, or buy only 14 units of a project with all the money I have, or buy only 14 units and I still have $15.00 in change. What is the unit value of this product?  
+
:<b>b. <section begin=req10b /><noinclude><translate></noinclude>At an average of 90 km/h, I can make a journey in three hours. To make this journey in just two hours, what should my average speed be?  
−
<section end=req11a /></translate></b>
+
<noinclude></translate></noinclude><section end=req10b /></b>
  
−
:<b>b. <translate><section begin=req11b />What is the root of the equation 7x - 2  -4x + 5?  
+
:<b>c. <section begin=req10c /><noinclude><translate></noinclude>If 20 men working for 20 days build 500 meters of a wall, how many men will it take to build 1000 meters more of this wall in 30 days?  
−
<section end=req11b /></translate></b>
+
<noinclude></translate></noinclude><section end=req10c /></b>
  
−
:<b>c. <translate><section begin=req11c />If I add 8 to the amount of toy cars I own, I will have the same amount of cars as my brother if, of the 28 that he owns, the amount that I own is subtracted. How many toy cars do I have?
+
<b>11. <section begin=req11 /><noinclude><translate></noinclude>Demonstrate the ability to solve problem situations involving equations:
−
<section end=req11c /></translate></b>
+
<noinclude></translate></noinclude><section end=req11 /></b>
  
−
[[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|3}}]]
+
:<b>a. <section begin=req11a /><noinclude><translate></noinclude>I have the following choice: I buy 20 units of a product with all the money I have, or buy only 14 units of a project with all the money I have, or buy only 14 units and I still have $15.00 in change. What is the unit value of this product?
−
[[Category:Honor Requirements Revision 2|{{#titleparts:{{PAGENAME}}|1|3}}]]
+
<noinclude></translate></noinclude><section end=req11a /></b>
 +
 
 +
:<b>b. <section begin=req11b /><noinclude><translate></noinclude>What is the root of the equation 7x - 2  -4x + 5?
 +
<noinclude></translate></noinclude><section end=req11b /></b>
 +
 
 +
:<b>c. <section begin=req11c /><noinclude><translate></noinclude>If I add 8 to the amount of toy cars I own, I will have the same amount of cars as my brother if, of the 28 that he owns, the amount that I own is subtracted. How many toy cars do I have?
 +
<noinclude></translate></noinclude><section end=req11c /></b>
 +
<section end=Body />
 +
 
 +
<noinclude><translate>
 +
[[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|2}}]]
 +
[[Category:Honor Requirements Revision 3|{{#titleparts:{{PAGENAME}}|1|2}}]]
 +
</translate></noinclude>

Revision as of 04:47, 25 December 2020

Other languages:
English • ‎español • ‎français • ‎português do Brasil




Math Skills III

Authority:
Category:
Skill Level:
Year Introduced:
Math Skills III AY Honor.png



1. Have the Math Skills II honor.

2. Solve the following operations using the traditional algorithm:

a. 641 + 135

b. 845 - 124

c. 34 x 125

d. 856 ÷ 24

3. Identify and classify the numerical sets.

4. Demonstrate the ability to solve the following equations:

a. 2x - 10 -4x + 14

b. 18x - 43 65

c. 23x - 16 14 - 17x

d. 10y - 5(1 + y) 3(2y - 2) - 20

e. x(x + 4) + x(x + 2) 2x² + 12

f. (x - 5) / 10 + (1 - 2x) / 5 (3-x) / 4

g. 4x(x + 6) - x² 5x²

5. Demonstrate the ability to solve the following products:

a. (x + 3y)

b. (a5 + 2bc)²

c. (3x + y²)²

d. (1 + 5m)(1 - 5m)

e. (ab - c)²

f. (m - 1)³

g. (a³ - b³) (a³ + b³)

6. Calculate the area of ​​the following figures:

7. In the Orienteering honor, the Pathfinder must have knowledge of angles to know how to use cartographic charts and to use a compass. Demonstrate the ability to convert angles to minutes, minutes to seconds, showing three practical examples.

8. In the Pioneering honor, we learned to build camp furniture, which has a whole mathematical relationship. Design and present some camp furniture where geometric shapes appear and classify each one. Cite three examples.

9. Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.

10. Demonstrate the ability to solve the following proportion problems:

a. At 60 km/h I travel between two cities in two hours. Traveling at 80 km/h, what is the estimated time to travel this route?

b. At an average of 90 km/h, I can make a journey in three hours. To make this journey in just two hours, what should my average speed be?

c. If 20 men working for 20 days build 500 meters of a wall, how many men will it take to build 1000 meters more of this wall in 30 days?

11. Demonstrate the ability to solve problem situations involving equations:

a. I have the following choice: I buy 20 units of a product with all the money I have, or buy only 14 units of a project with all the money I have, or buy only 14 units and I still have $15.00 in change. What is the unit value of this product?

b. What is the root of the equation 7x - 2 -4x + 5?

c. If I add 8 to the amount of toy cars I own, I will have the same amount of cars as my brother if, of the 28 that he owns, the amount that I own is subtracted. How many toy cars do I have?

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