René Descartes (1596-1650) foi um filósofo, matemático e cientista francês, conhecido como o "pai da filosofia moderna" que com suas contribuições influenciou profundamente o desenvolvimento da filosofia e da ciência ocidentais. Sua abordagem sistemática e racional ao pensamento e sua contribuição à matemática abriram caminho para muitas descobertas subsequentes. Entre as principais contribuições de Descartes ao desenvolvimento da Matemática podemos destacar:

Joana está planejando construir um canteiro circular no centro de um jardim feito em uma região triangular obsoleta do seu quintal, conforme representado na imagem abaixo.


Qual será a área (A) do canteiro? (faça π = 3,14)

Read the scenario:

A language teacher plans to use a flipped classroom model for her upcoming unit on advanced grammar. In this approach, students will be required to watch instructional videos and complete exercises at home before coming to class. During class time, the teacher will focus on interactive activities that apply the concepts learned, such as group discussions, problem-solving tasks, and real-life applications. This model aims to maximize classroom interaction and ensure that students come prepared to engage deeply with the material.

Which advantage is most likely to be associated with the flipped classroom model described in the scenario?

Consider the following passage and identify the grammatical error:

"The committee has decided to postpone the meeting until next week. Each member of the team was informed about the change and agreed to the new schedule. The chairperson, along with her assistants, have been working diligently to ensure that all preparations are completed on time."

Consider the sentence below:

"While some argue that standardized testing is necessary for measuring student progress, others believe it puts undue pressure on students and does not accurately reflect their abilities".

Which of the following can be inferred from the passage?

Read the text below:

"Hold fast to dreams For if dreams die Life is a broken-winged bird That cannot fly. Hold fast to dreams For when dreams go Life is a barren field Frozen with snow."
By Langston Hughes

We can say that the text is a:

Analyze the sentences and choose the one with correct pronoun placement:

Consider the sentences below:

I. With the arrival of spring, the garden burst ___ a riot of colors.
II. Amid the confusion, his voice rose above the rest, calling ___ order.
III. Against all odds, the small team managed to secure a victory ___ the tournament.

Complete the sentences above and select the CORRECT alternative.

Which sentence correctly uses a phrasal verb?

How can teachers integrate socioemotional competencies into English language teaching?