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

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{{HonorSubpage}}

<section begin=Body />

<b>1. <section begin=req1 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Have the Math Skills III honor.
<noinclude>
</div></noinclude><section end=req1 /></b>

<b>2. <section begin=req2 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Present a bibliographic report with at least five persons who contributed to the development of mathematics throughout the history of mankind.
<noinclude>
</div></noinclude><section end=req2 /></b>

<b>3. <section begin=req3 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Develop and present the calculations of the following equations:
<noinclude>
</div></noinclude><section end=req3 /></b>

:<b>a. <section begin=req3a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>5x² - 3x - 2 = 0
<noinclude>
</div></noinclude><section end=req3a /></b>

:<b>b. <section begin=req3b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>3x² + 55 = 0
<noinclude>
</div></noinclude><section end=req3b /></b>

:<b>c. <section begin=req3c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>x² - 10x + 25 = 0
<noinclude>
</div></noinclude><section end=req3c /></b>

<b>4. <section begin=req4 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Present and develop the percentage calculations of the following problems:
<noinclude>
</div></noinclude><section end=req4 /></b>

:<b>a. <section begin=req4a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>3% of 450
<noinclude>
</div></noinclude><section end=req4a /></b>

:<b>b. <section begin=req4b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>25% of 1440
<noinclude>
</div></noinclude><section end=req4b /></b>

:<b>c. <section begin=req4c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>30% of 2500
<noinclude>
</div></noinclude><section end=req4c /></b>

<b>5. <section begin=req5 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Present three practical situations, in written form, of situations in which we use percentages in our daily routine.
<noinclude>
</div></noinclude><section end=req5 /></b>

<b>6. <section begin=req6 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Present and develop three practical situations of everyday problems in which we use the quadratic equation.
<noinclude>
</div></noinclude><section end=req6 /></b>

<b>7. <section begin=req7 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Solve and present the development of the following functions, assuming that f(x) = x - 3 and g(x) = -3x + 4.
<noinclude>
</div></noinclude><section end=req7 /></b>

:<b>a. <section begin=req7a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>f(f(0))
<noinclude>
</div></noinclude><section end=req7a /></b>

:<b>b. <section begin=req7b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>f(f(1)) + g(f(3))
<noinclude>
</div></noinclude><section end=req7b /></b>

<section begin=challenge />
<b>8. <section begin=req8 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Represent the following functions in a Cartesian graph:
<noinclude>
</div></noinclude><section end=req8 /></b>

:<b>a. <section begin=req8a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>y = 3x-1
<noinclude>
</div></noinclude><section end=req8a /></b>

:<b>b. <section begin=req8b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>f(x) = 2x + 3
<noinclude>
</div></noinclude><section end=req8b /></b>
<section end=challenge />

<b>9. <section begin=req9 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Demonstrate the ability to solve problems with circles; how to calculate the circumference and area using the formula for each. Present two examples of each.
<noinclude>
</div></noinclude><section end=req9 /></b>

<b>10. <section begin=req10 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Present the ability to calculate the area of regular polygons, such as a hexagon inscribed in a circle, area of a cylinder surface, volume of a prism, and the volume of a pyramid.
<noinclude>
</div></noinclude><section end=req10 /></b>

<b>11. <section begin=req11 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>In our daily routine, we have to deal with all prices of tax rates. Demonstrate the ability to solve the two most common situations of interest.
<noinclude>
</div></noinclude><section end=req11 /></b>

:<b>a. <section begin=req11a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>Luciana made an investment of $100 at 2% simple interest a month. How much will she have in total after 8 months of investing?
<noinclude>
</div></noinclude><section end=req11a /></b>

:<b>b. <section begin=req11b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
</noinclude>David asked for a bank loan of $3000 and will pay in 6 months a composite interest rate of 1.5% a month. Calculate the total to be paid to the bank after 6 months.
<noinclude>
</div></noinclude><section end=req11b /></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 02:34, 22 July 2022
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	<noinclude></noinclude><section end=req11b /></b>		<noinclude></noinclude><section end=req11b /></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>~~

@@ Line 39: / Line 39: @@
 <noinclude></noinclude><section end=req6 /></b>
-<b>7. <section begin=req7 /><noinclude></noinclude>Resolver e apresentar o desenvolvimento das seguintes funções:Sendo f(x) = x – 3 e g(x) = -3x + 4, determinar:
+<b>7. <section begin=req7 /><noinclude></noinclude>Resolver e apresentar o desenvolvimento das seguintes funções: Sendo f(x) = x – 3 e g(x) = -3x + 4, determinar:
 <noinclude></noinclude><section end=req7 /></b>

@@ Line 59: / Line 59: @@
 <section end=challenge />
-<b>9. <section begin=req9 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>9. <section begin=req9 /><noinclude></noinclude>Demonstrar a habilidade em resolver problemas envolvendo círculos, como calcular a circunferência e a área usando a fórmula de cada um. Apresentar dois exemplos de cada.
-</noinclude>Demonstrate the ability to solve problems with circles; how to calculate the circumference and area using the formula for each. Present two examples of each.
+<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>Apresentar a habilidade de calcular a área de polígonos regulares, como hexagonal inscrito em um círculo, área da superfície do cilindro, volume do prisma e o volume da pirâmide.
-</noinclude>Present the ability to calculate the area of regular polygons, such as a hexagon inscribed in a circle, area of a cylinder surface, volume of a prism, and the volume of a pyramid.
+<noinclude></noinclude><section end=req10 /></b>
-<b>11. <section begin=req11 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>11. <section begin=req11 /><noinclude></noinclude>Em nosso dia a dia, lidamos o tempo todo com taxa de juros. Demonstre a habilidade para resolver as duas situações mais comuns de juros.
-</noinclude>In our daily routine, we have to deal with all prices of tax rates. Demonstrate the ability to solve the two most common situations of interest.
+<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>Luciana fez uma aplicação de R$ 200,00 a juros simples de 2% ao mês. Quanto ele terá, no total, após 8 meses de aplicação?
-</noinclude>Luciana made an investment of $100 at 2% simple interest a month. How much will she have in total after 8 months of investing?
+<noinclude></noinclude><section end=req11a /></b>
-:<b>b. <section begin=req11b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req11b /><noinclude></noinclude>Davi fez um empréstimo bancário de R$ 3.000,00 e pagará em 6 meses com taxa de juro composto de 1,5% ao mês. Calcule o total que ele deverá pagar ao banco após esses 6 meses.
-</noinclude>David asked for a bank loan of $3000 and will pay in 6 months a composite interest rate of 1.5% a month. Calculate the total to be paid to the bank after 6 months.
+<noinclude></noinclude><section end=req11b /></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}}]]</noinclude>

@@ Line 3: / Line 3: @@
 <section begin=Body />
-<b>1. <section begin=req1 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>1. <section begin=req1 /><noinclude></noinclude>Ter a especialidade Habilidades em matemática III.
-</noinclude>Have the Math Skills III honor.
+<noinclude></noinclude><section end=req1 /></b>
-<b>2. <section begin=req2 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>2. <section begin=req2 /><noinclude></noinclude>Apresentar um relatório bibliográfico com pelo menos cinco personalidades que contribuíram para o desenvolvimento da matemática no decorrer da historia da humanidade.
-</noinclude>Present a bibliographic report with at least five persons who contributed to the development of mathematics throughout the history of mankind.
+<noinclude></noinclude><section end=req2 /></b>
-<b>3. <section begin=req3 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>3. <section begin=req3 /><noinclude></noinclude>Desenvolver e apresentar os cálculos das seguintes equações:
-</noinclude>Develop and present the calculations of the following equations:
+<noinclude></noinclude><section end=req3 /></b>
-:<b>a. <section begin=req3a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>a. <section begin=req3a /><noinclude></noinclude>5x² - 3x - 2 = 0
-</noinclude>5x² - 3x - 2 = 0
+<noinclude></noinclude><section end=req3a /></b>
-:<b>b. <section begin=req3b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req3b /><noinclude></noinclude>3x² + 55 = 0
-</noinclude>3x² + 55 = 0
+<noinclude></noinclude><section end=req3b /></b>
-:<b>c. <section begin=req3c /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>c. <section begin=req3c /><noinclude></noinclude>x² - 10x + 25 = 0
-</noinclude>x² - 10x + 25 = 0
+<noinclude></noinclude><section end=req3c /></b>
-<b>4. <section begin=req4 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>4. <section begin=req4 /><noinclude></noinclude>Apresentar e desenvolver os cálculos de porcentagem dos seguintes problemas:
-</noinclude>Present and develop the percentage calculations of the following problems:
+<noinclude></noinclude><section end=req4 /></b>
-:<b>a. <section begin=req4a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>a. <section begin=req4a /><noinclude></noinclude>3% de 450
-</noinclude>3% of 450
+<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>25% de 1440
-</noinclude>25% of 1440
+<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>30% de 2500
-</noinclude>30% of 2500
+<noinclude></noinclude><section end=req4c /></b>
-<b>5. <section begin=req5 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>5. <section begin=req5 /><noinclude></noinclude>Apresentar três situações práticas de forma escrita de situações onde usamos a porcentagem no nosso dia a dia.
-</noinclude>Present three practical situations, in written form, of situations in which we use percentages in our daily routine.
+<noinclude></noinclude><section end=req5 /></b>
-<b>6. <section begin=req6 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>6. <section begin=req6 /><noinclude></noinclude>Apresentar e desenvolver três situações pratica de problemas do dia a dia em que usamos a equação do segundo grau.
-</noinclude>Present and develop three practical situations of everyday problems in which we use the quadratic equation.
+<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>Resolver e apresentar o desenvolvimento das seguintes funções:Sendo f(x) = x – 3 e g(x) = -3x + 4, determinar:
-</noinclude>Solve and present the development of the following functions, assuming that f(x) = x - 3 and g(x) = -3x + 4.
+<noinclude></noinclude><section end=req7 /></b>
-:<b>a. <section begin=req7a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>a. <section begin=req7a /><noinclude></noinclude>f(f(0))
-</noinclude>f(f(0))
+<noinclude></noinclude><section end=req7a /></b>
-:<b>b. <section begin=req7b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req7b /><noinclude></noinclude>f(f(1)) + g(f(3))
-</noinclude>f(f(1)) + g(f(3))
+<noinclude></noinclude><section end=req7b /></b>
 <section begin=challenge />
-<b>8. <section begin=req8 /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+<b>8. <section begin=req8 /><noinclude></noinclude>Representar no gráfico cartesiano as seguintes funções:
-</noinclude>Represent the following functions in a Cartesian graph:
+<noinclude></noinclude><section end=req8 /></b>
-:<b>a. <section begin=req8a /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>a. <section begin=req8a /><noinclude></noinclude>y = 3x-1
-</noinclude>y = 3x-1
+<noinclude></noinclude><section end=req8a /></b>
-:<b>b. <section begin=req8b /><noinclude><div lang="en" dir="ltr" class="mw-content-ltr">
+:<b>b. <section begin=req8b /><noinclude></noinclude>f(x) = 2x + 3
-</noinclude>f(x) = 2x + 3
+<noinclude></noinclude><section end=req8b /></b>
 <section end=challenge />