Difference between revisions of "AY Honors/Math Skills III/Requirements"
From Pathfinder Wiki
< AY Honors | Math Skills IIIAY Honors/Math Skills III/Requirements
Jomegat bot (talk | contribs) (Bot: Automated import of articles *** existing text overwritten ***) |
Jomegat bot (talk | contribs) (Bot: Automated import of articles *** existing text overwritten ***) |
||
| Line 2: | Line 2: | ||
<translate>{{RequirementsHeader}}</translate> | <translate>{{RequirementsHeader}}</translate> | ||
==<translate>Requirements</translate>== | ==<translate>Requirements</translate>== | ||
| − | |||
| − | |||
| + | <b>1. <translate><section begin=req1 />Have the Math Skills II honor. | ||
| + | <section end=req1 /></translate></b> | ||
| − | < | + | <b>2. <translate><section begin=req2 />Solve the following operations using the traditional algorithm: |
| − | + | <section end=req2 /></translate></b> | |
| − | Solve the following operations using the traditional algorithm: | ||
| + | :<b>a. <translate><section begin=req2a />641 + 135 | ||
| + | <section end=req2a /></translate></b> | ||
| − | < | + | :<b>b. <translate><section begin=req2b />845 - 124 |
| − | + | <section end=req2b /></translate></b> | |
| − | |||
| + | :<b>c. <translate><section begin=req2c />34 x 125 | ||
| + | <section end=req2c /></translate></b> | ||
| − | < | + | :<b>d. <translate><section begin=req2d />856 ÷ 24 |
| − | + | <section end=req2d /></translate></b> | |
| − | |||
| + | <b>3. <translate><section begin=req3 />Identify and classify the numerical sets. | ||
| + | <section end=req3 /></translate></b> | ||
| − | < | + | <b>4. <translate><section begin=req4 />Demonstrate the ability to solve the following equations: |
| − | + | <section end=req4 /></translate></b> | |
| − | |||
| + | :<b>a. <translate><section begin=req4a />2x - 10 -4x + 14 | ||
| + | <section end=req4a /></translate></b> | ||
| − | < | + | :<b>b. <translate><section begin=req4b />18x - 43 65 |
| − | + | <section end=req4b /></translate></b> | |
| − | |||
| + | :<b>c. <translate><section begin=req4c />23x - 16 14 - 17x | ||
| + | <section end=req4c /></translate></b> | ||
| − | < | + | :<b>d. <translate><section begin=req4d />10y - 5(1 + y) 3(2y - 2) - 20 |
| − | + | <section end=req4d /></translate></b> | |
| − | |||
| + | :<b>e. <translate><section begin=req4e />x(x + 4) + x(x + 2) 2x² + 12 | ||
| + | <section end=req4e /></translate></b> | ||
| − | < | + | :<b>f. <translate><section begin=req4f />(x - 5) / 10 + (1 - 2x) / 5 (3-x) / 4 |
| − | + | <section end=req4f /></translate></b> | |
| − | |||
| + | :<b>g. <translate><section begin=req4g />4x(x + 6) - x² 5x² | ||
| + | <section end=req4g /></translate></b> | ||
| − | < | + | <b>5. <translate><section begin=req5 />Demonstrate the ability to solve the following products: |
| − | + | <section end=req5 /></translate></b> | |
| − | |||
| + | :<b>a. <translate><section begin=req5a />(x + 3y) | ||
| + | <section end=req5a /></translate></b> | ||
| − | < | + | :<b>b. <translate><section begin=req5b />(a5 + 2bc)² |
| − | + | <section end=req5b /></translate></b> | |
| − | |||
| + | :<b>c. <translate><section begin=req5c />(3x + y²)² | ||
| + | <section end=req5c /></translate></b> | ||
| − | < | + | :<b>d. <translate><section begin=req5d />(1 + 5m)(1 - 5m) |
| − | + | <section end=req5d /></translate></b> | |
| − | |||
| + | :<b>e. <translate><section begin=req5e />(ab - c)² | ||
| + | <section end=req5e /></translate></b> | ||
| − | < | + | :<b>f. <translate><section begin=req5f />(m - 1)³ |
| − | + | <section end=req5f /></translate></b> | |
| − | |||
| + | :<b>g. <translate><section begin=req5g />(a³ - b³) (a³ + b³) | ||
| + | <section end=req5g /></translate></b> | ||
| − | < | + | <b>6. <translate><section begin=req6 />Calculate the area of the following figures: |
| − | + | <section end=req6 /></translate></b> | |
| − | |||
| + | <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. | ||
| + | <section end=req7 /></translate></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. |
| − | + | <section end=req8 /></translate></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. | ||
| + | <section end=req9 /></translate></b> | ||
| − | < | + | <b>10. <translate><section begin=req10 />Demonstrate the ability to solve the following proportion problems: |
| − | + | <section end=req10 /></translate></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? | ||
| + | <section end=req10a /></translate></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? |
| − | + | <section end=req10b /></translate></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? | ||
| + | <section end=req10c /></translate></b> | ||
| − | < | + | <b>11. <translate><section begin=req11 />Demonstrate the ability to solve problem situations involving equations: |
| − | + | <section end=req11 /></translate></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? | ||
| + | <section end=req11a /></translate></b> | ||
| − | < | + | :<b>b. <translate><section begin=req11b />What is the root of the equation 7x - 2 -4x + 5? |
| − | + | <section end=req11b /></translate></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? | ||
| + | <section end=req11c /></translate></b> | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
[[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|3}}]] | [[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|3}}]] | ||
| − | [[Category:Honor | + | [[Category:Honor Requirements Revision 2|{{#titleparts:{{PAGENAME}}|1|3}}]] |
Revision as of 16:17, 29 November 2020
Math Skills III
Authority:
Category:
Skill Level:
Year Introduced:
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:
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?
