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

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==2. What type of material is tile commonly made of?==
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{{HonorSubpage}}
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<section begin=Body />
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<b>1. <section begin=req1 /><noinclude><translate><!--T:1-->
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</noinclude>Have the Math Skills II honor.
 +
<noinclude></translate></noinclude><section end=req1 /></b>
 +
 
 +
<b>2. <section begin=req2 /><noinclude><translate><!--T:2-->
 +
</noinclude>Solve the following operations using the traditional algorithm:
 +
<noinclude></translate></noinclude><section end=req2 /></b>
 +
 
 +
:<b>a. <section begin=req2a /><noinclude><translate><!--T:3-->
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</noinclude>641 + 135
 +
<noinclude></translate></noinclude><section end=req2a /></b>
 +
 
 +
:<b>b. <section begin=req2b /><noinclude><translate><!--T:4-->
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</noinclude>845 - 124
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<noinclude></translate></noinclude><section end=req2b /></b>
 +
 
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:<b>c. <section begin=req2c /><noinclude><translate><!--T:5-->
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</noinclude>34 x 125
 +
<noinclude></translate></noinclude><section end=req2c /></b>
 +
 
 +
:<b>d. <section begin=req2d /><noinclude><translate><!--T:6-->
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</noinclude>856 ÷ 24
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<noinclude></translate></noinclude><section end=req2d /></b>
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 +
<b>3. <section begin=req3 /><noinclude><translate><!--T:7-->
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</noinclude>Identify and classify the numerical sets.
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<noinclude></translate></noinclude><section end=req3 /></b>
 +
 
 +
<b>4. <section begin=req4 /><noinclude><translate><!--T:8-->
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</noinclude>Demonstrate the ability to solve the following equations:
 +
<noinclude></translate></noinclude><section end=req4 /></b>
 +
 
 +
:<b>a. <section begin=req4a /><noinclude><translate><!--T:9-->
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</noinclude>2x - 10 = -4x + 14
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<noinclude></translate></noinclude><section end=req4a /></b>
 +
 
 +
:<b>b. <section begin=req4b /><noinclude><translate><!--T:10-->
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</noinclude>18x - 43 = 65
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<noinclude></translate></noinclude><section end=req4b /></b>
 +
 
 +
:<b>c. <section begin=req4c /><noinclude><translate><!--T:11-->
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</noinclude>23x - 16 = 14 - 17x
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<noinclude></translate></noinclude><section end=req4c /></b>
 +
 
 +
:<b>d. <section begin=req4d /><noinclude><translate><!--T:12-->
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</noinclude>10y - 5(1 + y) = 3(2y - 2) - 20
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<noinclude></translate></noinclude><section end=req4d /></b>
 +
 
 +
:<b>e. <section begin=req4e /><noinclude><translate><!--T:13-->
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</noinclude>x(x + 4) + x(x + 2) = 2x² + 12
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<noinclude></translate></noinclude><section end=req4e /></b>
 +
 
 +
:<b>f. <section begin=req4f /><noinclude><translate><!--T:14-->
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</noinclude>(x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4
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<noinclude></translate></noinclude><section end=req4f /></b>
 +
 
 +
:<b>g. <section begin=req4g /><noinclude><translate><!--T:15-->
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</noinclude>4x(x + 6) - x² = 5x²
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<noinclude></translate></noinclude><section end=req4g /></b>
 +
 
 +
<section begin=challenge />
 +
<b>5. <section begin=req5 /><noinclude><translate><!--T:16-->
 +
</noinclude>Demonstrate the ability to solve the following products:
 +
<noinclude></translate></noinclude><section end=req5 /></b>
 +
 
 +
:<b>a. <section begin=req5a /><noinclude><translate><!--T:17-->
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</noinclude>(x + 3y)²
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<noinclude></translate></noinclude><section end=req5a /></b>
 +
 
 +
:<b>b. <section begin=req5b /><noinclude><translate><!--T:18-->
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</noinclude>(a<sup>5</sup> + 2bc)²
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<noinclude></translate></noinclude><section end=req5b /></b>
 +
 
 +
:<b>c. <section begin=req5c /><noinclude><translate><!--T:19-->
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</noinclude>(3x + y²)²
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<noinclude></translate></noinclude><section end=req5c /></b>
 +
 
 +
:<b>d. <section begin=req5d /><noinclude><translate><!--T:20-->
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</noinclude>(1 + 5m)(1 - 5m)
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<noinclude></translate></noinclude><section end=req5d /></b>
 +
 
 +
:<b>e. <section begin=req5e /><noinclude><translate><!--T:21-->
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</noinclude>(ab - c)²
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<noinclude></translate></noinclude><section end=req5e /></b>
 +
 
 +
:<b>f. <section begin=req5f /><noinclude><translate><!--T:22-->
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</noinclude>(m - 1)³
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<noinclude></translate></noinclude><section end=req5f /></b>
 +
 
 +
:<b>g. <section begin=req5g /><noinclude><translate><!--T:23-->
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</noinclude>(a³ - b³) (a³ + b³)
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<noinclude></translate></noinclude><section end=req5g /></b>
 +
<section end=challenge />
 +
 
 +
<b>6. <section begin=req6 /><noinclude><translate><!--T:24-->
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</noinclude>Calculate the area of ​​the following figures:
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[[File:Math Skills III figures.png|700px]]
 +
<noinclude></translate></noinclude><section end=req6 /></b>
 +
 
 +
<b>7. <section begin=req7 /><noinclude><translate><!--T:25-->
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</noinclude>In the [[AY Honors/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.
 +
<noinclude></translate></noinclude><section end=req7 /></b>
 +
 
 +
<b>8. <section begin=req8 /><noinclude><translate><!--T:26-->
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</noinclude>In the [[AY Honors/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.
 +
<noinclude></translate></noinclude><section end=req8 /></b>
 +
 
 +
<b>9. <section begin=req9 /><noinclude><translate><!--T:27-->
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</noinclude>Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.
 +
<noinclude></translate></noinclude><section end=req9 /></b>
 +
 
 +
<b>10. <section begin=req10 /><noinclude><translate><!--T:28-->
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</noinclude>Demonstrate the ability to solve the following proportion problems:
 +
<noinclude></translate></noinclude><section end=req10 /></b>
 +
 
 +
:<b>a. <section begin=req10a /><noinclude><translate><!--T:29-->
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</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?
 +
<noinclude></translate></noinclude><section end=req10a /></b>
 +
 
 +
:<b>b. <section begin=req10b /><noinclude><translate><!--T:30-->
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</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?
 +
<noinclude></translate></noinclude><section end=req10b /></b>
 +
 
 +
:<b>c. <section begin=req10c /><noinclude><translate><!--T:31-->
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</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?
 +
<noinclude></translate></noinclude><section end=req10c /></b>
 +
 
 +
<b>11. <section begin=req11 /><noinclude><translate><!--T:32-->
 +
</noinclude>Demonstrate the ability to solve problem situations involving equations:
 +
<noinclude></translate></noinclude><section end=req11 /></b>
 +
 
 +
:<b>a. <section begin=req11a /><noinclude><translate><!--T:33-->
 +
</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?
 +
<noinclude></translate></noinclude><section end=req11a /></b>
 +
 
 +
:<b>b. <section begin=req11b /><noinclude><translate><!--T:34-->
 +
</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><!--T:35-->
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</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 />

Latest revision as of 02:27, 22 July 2022

Other languages:
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Math Skills III

Skill Level

3

Year

2012

Version

28.11.2024

Approval authority

South American Division

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



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)²

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: Math Skills III figures.png

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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