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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<languages /><br />
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<translate>{{RequirementsHeader}}</translate>
 +
==<translate>Requirements</translate>==
 +
'''1. <section begin=req1 /><translate>
 +
Have the Math Skills II honor.
 +
 
 +
 
 +
</translate><section end=req1 />'''
 +
'''2. <section begin=req2 /><translate>
 +
Solve the following operations using the traditional algorithm:
 +
 
 +
 
 +
</translate><section end=req2 />'''
 +
:'''a. <section begin=req2a /><translate>
 +
641 + 135
 +
 
 +
 
 +
</translate><section end=req2a />'''
 +
:'''b. <section begin=req2b /><translate>
 +
845 - 124
 +
 
 +
 
 +
</translate><section end=req2b />'''
 +
:'''c. <section begin=req2c /><translate>
 +
34 x 125
 +
 
 +
 
 +
</translate><section end=req2c />'''
 +
:'''d. <section begin=req2d /><translate>
 +
856 ÷ 24
 +
 
 +
 
 +
</translate><section end=req2d />'''
 +
'''3. <section begin=req3 /><translate>
 +
Identify and classify the numerical sets.
 +
 
 +
 
 +
</translate><section end=req3 />'''
 +
'''4. <section begin=req4 /><translate>
 +
Demonstrate the ability to solve the following equations:
 +
 
 +
 
 +
</translate><section end=req4 />'''
 +
:'''a. <section begin=req4a /><translate>
 +
2x - 10 = -4x + 14
 +
 
 +
 
 +
</translate><section end=req4a />'''
 +
:'''b. <section begin=req4b /><translate>
 +
18x - 43 = 65
 +
 
 +
 
 +
</translate><section end=req4b />'''
 +
:'''c. <section begin=req4c /><translate>
 +
23x - 16 = 14 - 17x
 +
 
 +
 
 +
</translate><section end=req4c />'''
 +
:'''d. <section begin=req4d /><translate>
 +
10y - 5(1 + y) = 3(2y - 2) - 20
 +
 
 +
 
 +
</translate><section end=req4d />'''
 +
:'''e. <section begin=req4e /><translate>
 +
x(x + 4) + x(x + 2) = 2x² + 12
 +
 
 +
 
 +
</translate><section end=req4e />'''
 +
:'''f. <section begin=req4f /><translate>
 +
(x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4
 +
 
 +
 
 +
</translate><section end=req4f />'''
 +
:'''g. <section begin=req4g /><translate>
 +
4x(x + 6) - x² = 5x²
 +
 
 +
 
 +
</translate><section end=req4g />'''
 +
'''5. <section begin=req5 /><translate>
 +
Demonstrate the ability to solve the following products:
 +
 
 +
 
 +
</translate><section end=req5 />'''
 +
:'''a. <section begin=req5a /><translate>
 +
(x + 3y)
 +
 
 +
 
 +
</translate><section end=req5a />'''
 +
:'''b. <section begin=req5b /><translate>
 +
(a5 + 2bc)²
 +
 
 +
 
 +
</translate><section end=req5b />'''
 +
:'''c. <section begin=req5c /><translate>
 +
(3x + y²)²
 +
 
 +
 
 +
</translate><section end=req5c />'''
 +
:'''d. <section begin=req5d /><translate>
 +
(1 + 5m)(1 - 5m)
 +
 
 +
 
 +
</translate><section end=req5d />'''
 +
:'''e. <section begin=req5e /><translate>
 +
(ab - c)²
 +
 
 +
 
 +
</translate><section end=req5e />'''
 +
:'''f. <section begin=req5f /><translate>
 +
(m - 1)³
 +
 
 +
 
 +
</translate><section end=req5f />'''
 +
:'''g. <section begin=req5g /><translate>
 +
(a³ - b³) (a³ + b³)
 +
 
 +
 
 +
</translate><section end=req5g />'''
 +
'''6. <section begin=req6 /><translate>
 +
Calculate the area of ​​the following figures:
 +
[[File:Math Skills III figures.png|700px]]
 +
 
 +
 
 +
</translate><section end=req6 />'''
 +
'''7. <section begin=req7 /><translate>
 +
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.
 +
 
 +
 
 +
</translate><section end=req7 />'''
 +
'''8. <section begin=req8 /><translate>
 +
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.
 +
 
 +
 
 +
</translate><section end=req8 />'''
 +
'''9. <section begin=req9 /><translate>
 +
Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.
 +
 
 +
 
 +
</translate><section end=req9 />'''
 +
'''10. <section begin=req10 /><translate>
 +
Demonstrate the ability to solve the following proportion problems:
 +
 
 +
 
 +
</translate><section end=req10 />'''
 +
:'''a. <section begin=req10a /><translate>
 +
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?
 +
 
 +
 
 +
</translate><section end=req10a />'''
 +
:'''b. <section begin=req10b /><translate>
 +
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?
 +
 
 +
 
 +
</translate><section end=req10b />'''
 +
:'''c. <section begin=req10c /><translate>
 +
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?
 +
 
 +
 
 +
</translate><section end=req10c />'''
 +
'''11. <section begin=req11 /><translate>
 +
Demonstrate the ability to solve problem situations involving equations:
 +
 
 +
 
 +
</translate><section end=req11 />'''
 +
:'''a. <section begin=req11a /><translate>
 +
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?
 +
 
 +
 
 +
</translate><section end=req11a />'''
 +
:'''b. <section begin=req11b /><translate>
 +
What is the root of the equation 7x - 2 = -4x + 5?  
 +
 
 +
 
 +
</translate><section end=req11b />'''
 +
:'''c. <section begin=req11c /><translate>
 +
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?
 +
 
 +
 
 +
</translate><section end=req11c />'''
 +
[[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|3}}]]
 +
[[Category:Honor Requirement By Sections|{{#titleparts:{{PAGENAME}}|1|3}}]]

Revision as of 17:41, 28 November 2020

Other languages:
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Math Skills III

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

Requirements

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: 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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