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Q3825145 Matemática

Considere o seguinte sistema linear:


Imagem associada para resolução da questão


Ao aplicar as técnicas de solução de sistemas desse tipo, é possível concluir corretamente que esse sistema é:

Alternativas
Q3825144 Matemática Financeira
Claúdio dividiu o capital de 20.000 reais em duas partes e aplicou ambas a juros simples. Uma dessas partes foi aplicada à taxa de 2% ao mês durante 8 meses, e a outra parte foi aplicada à taxa de 5% ao mês durante 1 semestre. Se os juros totais, provenientes das duas aplicações, correspondeu a 4.236 reais, então a maior dessas duas partes, em reais, é igual a: 
Alternativas
Q3825143 Matemática
O número N = 3×10⁵ + 4×10⁴ + 5×10³ + 2×10² + a×10 + 3, é divisível por 11 e a é um algarismo. O resto da divisão de N por 13 é: 
Alternativas
Q3825142 Matemática
Um aluno representou o número 1 como a soma de duas frações, empregando todos os algarismos de 0 inclusive a 9 inclusive, uma única vez cada um. Se uma das frações é 35/70, então a soma dos algarismos do número que representa o denominador da outra fração, em qualquer uma das frações possíveis, é igual a N. O valor de N é: 
Alternativas
Q3825141 Matemática
Um professor de Matemática tem uma coleção de livros formada por onze volumes, numerados de 1 a 11. Certo dia, esse professor coloca ao acaso todos os livros dessa coleção em uma prateleira, um ao lado do outro. A probabilidade de que os volumes 1 e 2 tenham ficado juntos e os volumes 10 e 11 tenham ficado separados é de: 
Alternativas
Q3825140 Matemática
Seja N = (5!)⁵!. A quantidade de divisores positivos de N é:
Alternativas
Q3825139 Matemática

Considere a função Imagem associada para resolução da questão definida por:


Imagem associada para resolução da questão


A raiz da equação Imagem associada para resolução da questão

Alternativas
Q3825138 Matemática
Os lados de um triângulo medem a = 8 cm, b = 10 cm e c = 12 cm. A medida da altura relativa ao lado b, em centímetros, corresponde a: 
Alternativas
Q3825137 Matemática
O polinômio x³ + ax² + bx + 1 será divisível por x² - 3x + 2 se 2a + 6b for igual a: 
Alternativas
Q3825096 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

Os falsos cognatos podem ser uma armadilha para quem está aprendendo um novo idioma, pois podem causar confusões e erros de tradução. Dessa forma, é essencial conhecer os falsos cognatos, para evitar constrangimentos. Dentre as palavras abaixo, todas retiradas do texto, o falso cognato é: 
Alternativas
Q3825095 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

Dentre as frases abaixo, todas retiradas do texto, a que contém um verbo no presente contínuo é: 
Alternativas
Q3825094 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

No trecho “...in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking)…”, a palavra em destaque foi usada para expressar: 
Alternativas
Q3825093 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

No trecho “...note that this generates a lot of information about student performance…”, a expressão em destaque pode ser substituída, sem prejuízo de significado, por:
Alternativas
Q3825092 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

Na frase “These rapport-building activities aim to generate information in such a way that students feel well-supported.”, a expressão em destaque foi usada como: 
Alternativas
Q3825091 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

No trecho “Whatever your teaching context, you’ve got to get to know each student as an individual.”, a palavra em destaque classifica-se como: 
Alternativas
Q3825090 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

Dentre as frases abaixo, todas retiradas do texto, a que está na voz passiva é: 
Alternativas
Q3825089 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

No trecho “..., this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.”, o prefixo usado nos termos sublinhados significa:
Alternativas
Q3825088 Pedagogia

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

A autora do texto propõe que o professor teste seus alunos no início do curso, para conhecer a capacidade de cada um nas quatro habilidades. Considerando a proposta da BNCC para o ensino de Inglês, pode-se dizer que a sugestão da autora: 
Alternativas
Q3825087 Inglês

TEXT:

 

Building Rapport

Establishing strong foundations for teaching and learning

 

By Stephanie Hirchman

September 2, 2025

 

How do teachers build rapport with students? I can’t think of a more important question; after all, learning is all about relationships. In fact, I hope the word “rapport” runs through all the blogs I’ve written, like the letters in a stick of rock. However, as the summer holidays draw to a close and with new beginnings in sight, I’m going to focus exclusively on building rapport.

 

Fostering rapport

Let’s get out the metaphors! If learning is a house, then rapport is the foundation, but because it needs constant maintenance, rapport is also a garden, tended with care on a daily basis. When there is a good rapport, students feel:

• seen – each student is greeted individually, and the teacher makes an eff ort to interact with each one during the lesson.

• confident in the teacher, the course, and themselves - the teacher knows what each student needs and how to deliver it so students make progress. Classroom routines are predictable, fair, and make sense.

• safe – they know the teacher will not embarrass them or expose their sensitivities or weaknesses. Mistakes are dealt with sensitively and treated as learning opportunities.

• accepted – the teacher meets each individual student exactly where they are, without judgment, academically and personally. If someone is called out on their behaviour, this is done in private, and an explanation is given about why this behaviour is unproductive or unacceptable.

 

Student profiles – the basis for rapport

Whatever your teaching context, you’ve got to get to know each student as an individual. This can be considered as an initial information gathering phase, with several possible pathways.

A good starting point is to test students either before they start the course or in the first few days, making it clear that this is a process that produces information that will help you to plan and them to learn. Try to generate as full a picture as possible, so you have an idea about their abilities in all four skills.

Secondly, you need to conduct a needs analysis, either privately or publicly. You can read more about this process, but bear in mind that a public needs analysis can also serve to make everyone in the class aware of each other’s interests and thus of the rationale for including certain topics, language points, or skills work in the course syllabus.

Finally, use whatever resources you have to identify students with specific learning differences or traumas/triggers. This information may be disclosed at registration, self-disclosed (perhaps at interview) or in a private needs analysis, or tentatively identified through your own observations. Obviously, this information is private, between you and the student (and their parents, if they are under 18).

 

Classroom activities to build rapport at the start of a course

These rapport-building activities aim to generate information in such a way that students feel well-supported.

In a first lesson, the top priority is to make sure you know everybody’s preferred names and how to pronounce them. I’ve always found it helpful to have small desktop cards with this information on display – at least for a couple of sessions. Why not ask the students to make these themselves, or at least to personalize them? The back of the card could have some classroom language phrases to help prompt students, and there’s also the option of including this useful functional language as an introductory lesson – note that this generates a lot of information about student performance in areas like listening (including following instructions), speaking (including pronunciation) and studentship (including note-taking), facility with vocabulary, grammar and functional language. It can also serve as an introduction to pair and group work and to questioning and correction techniques, and, of course, builds confidence for students to take an active part in lessons.

 

Rapport thrives on praise

Teachers must remember that students are putting themselves on the line every time they come to class. Every effort carries a risk of failure, and not everyone is robust enough to bounce back easily when this occurs. Praise is the magic ingredient here – individualized, sincere and specific. Even when things have gone a bit wrong, find something that went well. It may be that you’re praising eff ort (“Good try, Haruka, I like that idea, but it isn’t what I’m looking for right now.”) or scaffolding achievement (“That’s a pretty good sentence, Juan, the verb tense is correct. But think again about the subject – should it be singular or plural?”). It may be delivered in written form (“This essay makes some relevant points. You used a lot of new vocabulary and improved your accuracy with punctuation. Next time, put the information into paragraphs.”). And when you make a mistake, as you inevitably will, model a positive reaction – check the information, put it right and thank the person who pointed it out.

Finally, make plenty of space for laughter and smiles, as they not only reduce stress, but have a positive effect on engagement, learning and recall. Rapport really does serve learning.

 

Adapted from: https://www.linguahouse.com/blog/post/building-rapport Acesso em 18/10/2025

De acordo com o texto, se a aprendizagem fosse uma casa, o relacionamento entre professor e alunos seria: 
Alternativas
Q3825046 Português

Leia o texto a seguir:

 

Má alimentação ameaça o futuro das crianças e do Brasil

 

Autores: Raul Cutait, Marcos Kisil e Aracélia Costa

 

O Dia Mundial da Alimentação, celebrado nesta quinta-feira (16/10), enseja reflexões. Segundo relatório do IBGE desta semana, 25% dos brasileiros vivem com algum grau de insegurança alimentar: incerteza quanto à próxima refeição (grave), limitação na quantidade (moderada) ou composição inadequada dos alimentos disponíveis (leve). Quanto a crianças de 0 a 10 anos, 7% convivem com insegurança alimentar grave.

No estado de São Paulo, responsável pelo maior PIB do país, 12 milhões de pessoas não conseguem realizar as refeições diárias de forma adequada; ou seja, 25% da população paulista enfrenta algum grau de insegurança alimentar. Estudo da Rede Pensan estima que em um terço dos lares paulistas com crianças menores de 10 anos ocorre insegurança moderada ou grave.

Ora, o desenvolvimento saudável de uma criança depende não só de educação e amor, mas também da boa alimentação, que desempenha um papel central em sua formação física, cognitiva e emocional desde os primeiros anos de vida. Assim, carências impactam diretamente na formação do futuro cidadão. Porém, além da desnutrição, crianças vivenciam outro grave problema, a obesidade, relacionada com a ingestão excessiva de alimentos inadequados do ponto de vista nutricional.

No Brasil, 3 milhões de crianças com menos de 10 anos são obesas, e 6,4 milhões apresentam excesso de peso, sendo que esse problema afeta 1,2 milhão de crianças paulistas. A obesidade torna essas crianças sérias candidatas a desenvolver doenças crônicas quando adultas, dentre elas hipertensão arterial, diabetes, dislipidemias e câncer, o que irá interferir em sua qualidade de vida futura, sobrecarregar o sistema de saúde e gerar altos custos de tratamentos.

Adicionalmente, a má alimentação compromete uma futura mobilidade social, pois jovens que tiveram crescimento físico, cognitivo e emocional limitados convivem com limitações pessoais para se qualificar e disputar melhores oportunidades no mercado de trabalho. Por outro lado, o setor produtivo encontra dificuldades na busca de profissionais qualificados, o que impacta em produtividade e competitividade econômica. Portanto, insegurança alimentar e nutricional é não só uma questão social, mas também econômica e de desenvolvimento humano.

Alimentar bem as crianças é uma missão para todos. Por esse motivo, a Fiesp, através de seu Conselho Superior de Responsabilidade Social, lançou há dois anos o Programa Alimentar o Futuro, em parceria com instituições nacionais e internacionais, visando aumentar a interação efetiva entre governos municipais e empresariado na busca de caminhos que permitam corrigir distorções como a por nós verificada em duas regiões do estado, onde 92% das refeições escolares não atendem plenamente os critérios nutricionais estabelecidos pelo Programa Nacional de Alimentação Escolar.

Assim, políticas de melhoria da alimentação infantil têm sido conjuntamente desenhadas pelos setores público e privado e complementadas com ações de capacitação de nutricionistas e cozinheiros das cidades envolvidas.

Como proposta, pretendemos estender essa experiência para outras regiões do estado e incluir creches públicas, bem como auxiliar na expansão da agricultura familiar, que por lei será responsável por 45% dos cardápios escolares. Acreditamos que, dessa forma, a Fiesp faz mais uma importante contribuição social, ao participar da construção de um futuro mais justo para nossas crianças e, consequentemente, para o desenvolvimento do país.

 

Fonte: https://www1.folha.uol.com.br/opiniao/2025/10/ma-alimentacao-ameaca-ofuturo-das-criancas-e-do-brasil.shtml (consultado em 16/10/2025)

Leia o período abaixo:
“...o desenvolvimento saudável de uma criança depende não só de educação e amor, mas também da boa alimentação, que desempenha um papel central em sua formação física, cognitiva e emocional desde os primeiros anos de vida.”
No que diz respeito à estrutura sintática, o período acima é composto por: 
Alternativas
Respostas
3961: B
3962: C
3963: C
3964: B
3965: D
3966: B
3967: C
3968: A
3969: A
3970: A
3971: B
3972: D
3973: A
3974: D
3975: C
3976: C
3977: B
3978: A
3979: B
3980: B