Monthly Archives: October 2017

Where do math symbols come from?

Math is full of symbols: lines, dots, arrows, English letters, Greek letters, superscripts, subscripts … it can look like an illegible jumble. Where did all of these symbols come from? John David Walters shares the origins of mathematical symbols, and illuminates why they’re still so important in the field today.

Listening / Writing / Speaking Practice (1)

Listening (B1). Social and human relations. Dating and friends; “What makes a good friend”.

Here is a nice visual lesson plan to talk about dating, family and friends. Follow the instructions below to do your work.

TASK 1: Writing: Look at the picture below. Which  of these adjectives would you use to describe  this picture? Give reasons. Can you think of any more adjectives?

TASK 2: Introducing and revising vocabulary. Read through the texts and translate unknown words in bold.

TASK 3: Writing/Speaking: Has traditional dating become a thing of the past? Look at the pictures below showing different types of dating. Which one do you prefer? Which one you wouldn´t mind trying? Which one you would never try? Give reasons to support your opinion.

TASK 4: Listening: “What makes for a good friend”. Try to improve your listening abilities. This time we are going to listen for specific vocabulary. Ready? Listen and fill in the gaps.

TASK 5: Writing: Think of one of your close friends and answer questions about him/her.

Practice for Listening Exams

Best Free Listening Websites with Quizzes to Practice for Listening Exams: Listening Practice

“That figures”

“That´s a load of rubbish / That´s crap”


“Sleep on it”

“It´s beyond me”

“(It´s) all yours”

“You´re joking!”