AY Honors/Math Skills III/Requirements/pt-br - Revision history

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{{HonorSubpage}}

<section begin=Body />

<b>1. <section begin=req1 /><noinclude></noinclude>Ter a especialidade Habilidades em matemática II.
<noinclude></noinclude><section end=req1 /></b>

<b>2. <section begin=req2 /><noinclude></noinclude>Resolver as seguintes operações usando o algoritmo tradicional:
<noinclude></noinclude><section end=req2 /></b>

:<b>a. <section begin=req2a /><noinclude></noinclude>641 + 135
<noinclude></noinclude><section end=req2a /></b>

:<b>b. <section begin=req2b /><noinclude></noinclude>845 - 124
<noinclude></noinclude><section end=req2b /></b>

:<b>c. <section begin=req2c /><noinclude></noinclude>34 x 125
<noinclude></noinclude><section end=req2c /></b>

:<b>d. <section begin=req2d /><noinclude></noinclude>856 ÷ 24
<noinclude></noinclude><section end=req2d /></b>

<b>3. <section begin=req3 /><noinclude></noinclude>Identificar e classificar os conjuntos numéricos.
<noinclude></noinclude><section end=req3 /></b>

<b>4. <section begin=req4 /><noinclude></noinclude>Demonstrar habilidade de resolver as seguintes equações:
<noinclude></noinclude><section end=req4 /></b>

:<b>a. <section begin=req4a /><noinclude></noinclude>2x - 10 = -4x + 14
<noinclude></noinclude><section end=req4a /></b>

:<b>b. <section begin=req4b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>18x - 43 = 65
<noinclude>
</div></noinclude><section end=req4b /></b>

:<b>c. <section begin=req4c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>23x - 16 = 14 - 17x
<noinclude>
</div></noinclude><section end=req4c /></b>

:<b>d. <section begin=req4d /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>10y - 5(1 + y) = 3(2y - 2) - 20
<noinclude>
</div></noinclude><section end=req4d /></b>

:<b>e. <section begin=req4e /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>x(x + 4) + x(x + 2) = 2x² + 12
<noinclude>
</div></noinclude><section end=req4e /></b>

:<b>f. <section begin=req4f /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4
<noinclude>
</div></noinclude><section end=req4f /></b>

:<b>g. <section begin=req4g /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>4x(x + 6) - x² = 5x²
<noinclude>
</div></noinclude><section end=req4g /></b>

<section begin=challenge />
<b>5. <section begin=req5 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Demonstrate the ability to solve the following products:
<noinclude>
</div></noinclude><section end=req5 /></b>

:<b>a. <section begin=req5a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(x + 3y)²
<noinclude>
</div></noinclude><section end=req5a /></b>

:<b>b. <section begin=req5b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(a<sup>5</sup> + 2bc)²
<noinclude>
</div></noinclude><section end=req5b /></b>

:<b>c. <section begin=req5c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(3x + y²)²
<noinclude>
</div></noinclude><section end=req5c /></b>

:<b>d. <section begin=req5d /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(1 + 5m)(1 - 5m)
<noinclude>
</div></noinclude><section end=req5d /></b>

:<b>e. <section begin=req5e /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(ab - c)²
<noinclude>
</div></noinclude><section end=req5e /></b>

:<b>f. <section begin=req5f /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(m - 1)³
<noinclude>
</div></noinclude><section end=req5f /></b>

:<b>g. <section begin=req5g /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>(a³ - b³) (a³ + b³)
<noinclude>
</div></noinclude><section end=req5g /></b>
<section end=challenge />

<b>6. <section begin=req6 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Calculate the area of the following figures:
[[File:Math Skills III figures.png|700px]]
<noinclude>
</div></noinclude><section end=req6 /></b>

<b>7. <section begin=req7 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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.
<noinclude>
</div></noinclude><section end=req7 /></b>

<b>8. <section begin=req8 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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.
<noinclude>
</div></noinclude><section end=req8 /></b>

<b>9. <section begin=req9 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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>
</div></noinclude><section end=req9 /></b>

<b>10. <section begin=req10 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Demonstrate the ability to solve the following proportion problems:
<noinclude>
</div></noinclude><section end=req10 /></b>

:<b>a. <section begin=req10a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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>
</div></noinclude><section end=req10a /></b>

:<b>b. <section begin=req10b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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>
</div></noinclude><section end=req10b /></b>

:<b>c. <section begin=req10c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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>
</div></noinclude><section end=req10c /></b>

<b>11. <section begin=req11 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Demonstrate the ability to solve problem situations involving equations:
<noinclude>
</div></noinclude><section end=req11 /></b>

:<b>a. <section begin=req11a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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>
</div></noinclude><section end=req11a /></b>

:<b>b. <section begin=req11b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>What is the root of the equation 7x - 2 = -4x + 5?
<noinclude>
</div></noinclude><section end=req11b /></b>

:<b>c. <section begin=req11c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</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>
</div></noinclude><section end=req11c /></b>
<section end=Body />

<noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
[[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|2}}]]
[[Category:Honor Requirements Revision 3|{{#titleparts:{{PAGENAME}}|1|2}}]]
<noinclude>
</div></noinclude>

← Older revision		Revision as of 03:33, 22 July 2022
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	<noinclude></noinclude><section end=req11c /></b>		<noinclude></noinclude><section end=req11c /></b>
	<section end=Body />		<section end=Body />
−
−	~~<noinclude>[[Category:Honor Requirements/pt-br\|{{#titleparts:{{PAGENAME}}\|1\|2}}]]~~
−	~~[[Category:Honor Requirements Revision 3/pt-br\|{{#titleparts:{{PAGENAME}}\|1\|2}}]]~~
−	~~<noinclude></noinclude>~~

@@ Line 81: / Line 81: @@
 <noinclude></noinclude><section end=req7 /></b>
-<b>8. <section begin=req8 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>8. <section begin=req8 /><noinclude></noinclude>Na especialidade de [[AY Honors/Pioneering/pt-br|Pioneiria]], aprendemos a construir móveis de campanha, que por sua vez tem toda uma relação matemática. Desenhar e apresentar alguns móveis de campanha onde aparecem formas geométricas e classificar cada um. Citar três exemplos.
-</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></noinclude><section end=req8 /></b>
 <b>9. <section begin=req9 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">

@@ Line 78: / Line 78: @@
 <noinclude></noinclude><section end=req6 /></b>
-<b>7. <section begin=req7 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>7. <section begin=req7 /><noinclude></noinclude>Na especialidade de [[AY Honors/Orienteering/pt-br|Orientação]], o desbravador precisa ter conhecimentos de ângulo, para saber usar carta cartográfica e usar uma bússola. Demonstrar habilidade de converter ângulos para minutos, minutos para segundos, mostrando três exemplos práticos.
-</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.
+<noinclude></noinclude><section end=req7 /></b>
 <b>8. <section begin=req8 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">

@@ Line 36: / Line 36: @@
 <noinclude></noinclude><section end=req4c /></b>
-:<b>d. <section begin=req4d /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>d. <section begin=req4d /><noinclude></noinclude>10y - 5(1 + y) = 3(2y - 2) - 20
-</noinclude>10y - 5(1 + y) = 3(2y - 2) - 20
+<noinclude></noinclude><section end=req4d /></b>
 :<b>e. <section begin=req4e /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">

@@ Line 33: / Line 33: @@
 <noinclude></noinclude><section end=req4b /></b>
-:<b>c. <section begin=req4c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>c. <section begin=req4c /><noinclude></noinclude>23x - 16 = 14 - 17x
-</noinclude>23x - 16 = 14 - 17x
+<noinclude></noinclude><section end=req4c /></b>
 :<b>d. <section begin=req4d /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">

@@ Line 84: / Line 84: @@
 <noinclude></noinclude><section end=req8 /></b>
-<b>9. <section begin=req9 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>9. <section begin=req9 /><noinclude></noinclude>Apresentar um cartaz mostrando dez exemplos práticos de figuras geométricas usadas no dia a dia. Pode ser em forma de figuras recortadas, fotos ou desenho.
-</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></noinclude><section end=req9 /></b>
-<b>10. <section begin=req10 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>10. <section begin=req10 /><noinclude></noinclude>Demonstre habilidade para resolver a solução dos seguintes problemas de proporção:
-</noinclude>Demonstrate the ability to solve the following proportion problems:
+<noinclude></noinclude><section end=req10 /></b>
-:<b>a. <section begin=req10a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>a. <section begin=req10a /><noinclude></noinclude>A 60 km/h faço o percurso entre duas cidades em duas horas. Trafegando a 80 km qual o tempo estimado para percorrer este trajeto?
-</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></noinclude><section end=req10a /></b>
-:<b>b. <section begin=req10b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req10b /><noinclude></noinclude>À média de 90 km/h faço um trajeto em três horas. Para que eu faça este percurso em apenas duas horas, qual deve ser a minha velocidade média?
-</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></noinclude><section end=req10b /></b>
-:<b>c. <section begin=req10c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>c. <section begin=req10c /><noinclude></noinclude>Se 20 homens trabalhando durante 15 dias constroem 500 metros de um muro, quantos homens serão necessários para construir mais 1000 metros deste muro em 30 dias?
-</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></noinclude><section end=req10c /></b>
-<b>11. <section begin=req11 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>11. <section begin=req11 /><noinclude></noinclude>Demonstre habilidade para resolver situações problemas envolvendo equações:
-</noinclude>Demonstrate the ability to solve problem situations involving equations:
+<noinclude></noinclude><section end=req11 /></b>
-:<b>a. <section begin=req11a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>a. <section begin=req11a /><noinclude></noinclude>Tenho a seguinte escolha: Ou compro 20 unidades de um produto com todo o dinheiro que tenho, ou compro apenas 14 unidades e ainda me sobra um troco de R$ 30,00. Qual o valor unitário deste produto?
-</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></noinclude><section end=req11a /></b>
-:<b>b. <section begin=req11b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req11b /><noinclude></noinclude>Qual é a raiz da equação 7x - 2 = -4x + 5?
-</noinclude>What is the root of the equation 7x - 2 = -4x + 5?
+<noinclude></noinclude><section end=req11b /></b>
-:<b>c. <section begin=req11c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>c. <section begin=req11c /><noinclude></noinclude>Se eu adicionar 8 à quantidade de carrinhos que possuo, ficarei com a mesma quantidade de carrinhos de meu irmão, se dos 28 que ele possui, for retirada a quantidade que eu possuo. Quantos carrinhos eu tenho?
-</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></noinclude><section end=req11c /></b>
 <section end=Body />
-<noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<noinclude>[[Category:Honor Requirements/pt-br|{{#titleparts:{{PAGENAME}}|1|2}}]]
-[[Category:Honor Requirements|{{#titleparts:{{PAGENAME}}|1|2}}]]
+[[Category:Honor Requirements Revision 3/pt-br|{{#titleparts:{{PAGENAME}}|1|2}}]]
-[[Category:Honor Requirements Revision 3|{{#titleparts:{{PAGENAME}}|1|2}}]]
+<noinclude></noinclude>

@@ Line 39: / Line 39: @@
 <noinclude></noinclude><section end=req4d /></b>
-:<b>e. <section begin=req4e /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>e. <section begin=req4e /><noinclude></noinclude>x(x + 4) + x(x + 2) = 2x² + 12
-</noinclude>x(x + 4) + x(x + 2) = 2x² + 12
+<noinclude></noinclude><section end=req4e /></b>
-:<b>f. <section begin=req4f /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>f. <section begin=req4f /><noinclude></noinclude>(x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4
-</noinclude>(x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4
+<noinclude></noinclude><section end=req4f /></b>
-:<b>g. <section begin=req4g /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>g. <section begin=req4g /><noinclude></noinclude>4x(x + 6) - x² = 5x²
-</noinclude>4x(x + 6) - x² = 5x²
+<noinclude></noinclude><section end=req4g /></b>
 <section begin=challenge />
-<b>5. <section begin=req5 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>5. <section begin=req5 /><noinclude></noinclude>Demonstrar habilidade de resolver os seguintes produtos notáveis:
-</noinclude>Demonstrate the ability to solve the following products:
+<noinclude></noinclude><section end=req5 /></b>
-:<b>a. <section begin=req5a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>a. <section begin=req5a /><noinclude></noinclude>(x + 3y)²
-</noinclude>(x + 3y)²
+<noinclude></noinclude><section end=req5a /></b>
-:<b>b. <section begin=req5b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req5b /><noinclude></noinclude>(a<sup>5</sup> + 2bc)²
-</noinclude>(a<sup>5</sup> + 2bc)²
+<noinclude></noinclude><section end=req5b /></b>
-:<b>c. <section begin=req5c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>c. <section begin=req5c /><noinclude></noinclude>(3x + y²)²
-</noinclude>(3x + y²)²
+<noinclude></noinclude><section end=req5c /></b>
-:<b>d. <section begin=req5d /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>d. <section begin=req5d /><noinclude></noinclude>(1 + 5m)(1 - 5m)
-</noinclude>(1 + 5m)(1 - 5m)
+<noinclude></noinclude><section end=req5d /></b>
-:<b>e. <section begin=req5e /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>e. <section begin=req5e /><noinclude></noinclude>(ab - c)²
-</noinclude>(ab - c)²
+<noinclude></noinclude><section end=req5e /></b>
-:<b>f. <section begin=req5f /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>f. <section begin=req5f /><noinclude></noinclude>(m - 1)³
-</noinclude>(m - 1)³
+<noinclude></noinclude><section end=req5f /></b>
-:<b>g. <section begin=req5g /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>g. <section begin=req5g /><noinclude></noinclude>(a³ - b³) (a³ + b³)
-</noinclude>(a³ - b³) (a³ + b³)
+<noinclude></noinclude><section end=req5g /></b>
 <section end=challenge />
-<b>6. <section begin=req6 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>6. <section begin=req6 /><noinclude></noinclude>Calcular a área das seguintes figuras planas:
 [[File:Math Skills III figures.png|700px]]
-<noinclude>
+<noinclude></noinclude><section end=req6 /></b>
 <b>7. <section begin=req7 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">

@@ Line 30: / Line 30: @@
 <noinclude></noinclude><section end=req4a /></b>
-:<b>b. <section begin=req4b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req4b /><noinclude></noinclude>18x - 43 = 65
-</noinclude>18x - 43 = 65
+<noinclude></noinclude><section end=req4b /></b>
 :<b>c. <section begin=req4c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">