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Before your first Core Maths lesson, please complete the following:

1. Read this article and pause when you get to the first set of questions (don’t scroll to the answers!):

1. Answer the questions (bullet point notes are fine) or if you can’t answer a question, note down ideas about how you might work out the answer.

2. Once you have done this, read through the answers provided and reflect on similarities and differences to your approach.

3. Bring your notes to your first lesson and be ready to discuss your reflections.

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With thanks to Cat van Saarloos for the data file, here's a Quibans from the Daily Mirror.

Police release names most commonly linked with crime - and it's bad news for Davids

Choosing a baby's name can be a huge decision and many parents spend time agonising over the choices in front of them.

What you are called can have a lasting impact on your life, but can it effect the chances of you ending up behind bars?

Recent research conducted by casino experts Goodluckmate has shown that some names are more common amongst troublemakers in the UK, with David and Sarah topping the list.
Top 10 lawbreaking male names Top 10 lawbreaking female names
A spokesperson for Goodluckmate said: "Our names play a huge part in our identity, but can they influence who we turn out to be? Are there some names that are more likely to end up on a judge's docket?

"We wanted to find out if a name can make someone more likely to become a criminal, so we made Freedom of Information requests to police forces around the country, asking for the names of people that were charged with crimes in the last two years, so we could discover the names most likely to commit crimes.

"In total, we received 42,671 names from various police forces around the country, allowing us to work out which names had the most criminal charges attached to them."

Here is a first set of questions:

Question 1) What errors can you see in the article?

Question 2) Comment on this sentence: "We wanted to find out if a name can make someone more likely to become a criminal"

Question 3) Is this a good use of public money?

Question 4) What is the problem with saying "people called David are more likely to break the law"?

Question 5) What other information would it be useful to have?

Question 6) How much more likely are men to commit crimes than women?

And possible answers:

Answer 1) Aside from the maths/stats errors that appear below (and which could also fit here), in this phrase "but can it effect the chances" the word 'effect' should be 'affect'.

Answer 2) This is a correlation vs causation misunderstanding!

Answer 3) A casino company submitted a freedom of information request (FOI) to police forces, asking for this information.The police forces legally have to respond to FOI request, which costs time and money.Is it worth it for a request like this?(Well - it produced a Quibans, but I'm struggling to see any other use!)

Answer 4) If the name David is more common then there are likely to be more law-breakers called David.

Answer 5) A list of how common each name is.

Answer 6) On the top ten lists there are 8112 males and 973 females, suggesting that men are 8.3 times as likely to commit a crime than women.

There is further information on the casino website:

The UK's most popular names

When we look at the UK's current most popular names, how do they measure up?

Question 7) Any comments about this?

Answer 7) I was wrong!The names David and Sarah don't appear on the list of most popular names.

But there is more.Here's the end of the casino article:

Methodology

We made Freedom of Information requests to police forces around the UK asking for data regarding the first names of those who had been charged with a crime in the 19/20 financial year within their area. Of the constabularies we made requests to, 17 were able to send data, amounting to a total of 42,671 names. We then took the total number of people charged with each name, giving us our results.

When looking at the UK's most popular names, we took the top five names for baby boys and baby girls in the UK in 2019.

Question 8) What's the problem with their methodology?

Question 9) What would be a more sensible thing to do instead?What other info do you need?

Answer 8) They are comparing the number of crimes committed by people with each name in 2019-2020 with how many babies that name was given to in 2019.If the frequency of names changes year to year, then this is a daft comparison to make, because there won't be any babies in the crime figures!

Answer 9) It would be more sensible to use name-frequency data from perhaps 30 years ago.

Cat has provided data from the ONS (Office for National Statistics), showing the popularity of each name for each year ending in a '4'.Cat's spreadsheet is here.The students could analyse this.

Here is the start of the spreadsheet for male names:

And here it is with the 10 names highlighted:

My analysis follows (but there are lots of other ways of doing it).

Taking the average position for male names in the years 1964 (babies born then would be 55 in 2019), 1974 (age 45), 1984 (age 35) and 1994 (age 25), gives the following table. David is second on the list:

Aside from Lee (position 23), the other nine names (which are shown in lower case in the table) are all in the top 12.

If instead we focus only on 1974 and 1984 we get this list:

David appears at the top, and all of the ten names are within the top 12.

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With thanks to Cat van Saarloos for the data file, here's a Quibans from the Daily Mirror. Choosing a baby's name can be a huge decision and many parents spend time agonising over the choices in front of them.

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Increasing participation in Core Maths, AS/A level Mathematics and Further Mathematics

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Welcome to the Core Maths Collection! This website is in its very early stages and I'm building it as a way to draw together a variety of resources for people that are interested in Core Maths.

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There is no compulsory independent work for Core Maths however you could pick one or two of the activities here to keep your mathematical thinking going!

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You will require a scientific calculator for Core Maths. If you are thinking of getting a new calculator, we would recommend the Casio fx-991 CW for Core Maths as it has some additional useful functions to other models

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You are not required to purchase a textbook for Core Maths but if you would like a book for home for more explanations and practice, this would be a good option

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AQA approved

Engage and motivate your AQA Core Maths students with a rich variety of real-life data and contexts.

Help students to access the AQA Level 3 Mathematical Studies specification with explanations, examples and plenty of practice.

Help all students reach their potential with differentiated exercises and project work.

Capture students' interest with a real-world chapter opener and Mathematics in the real world sections throughout

Prepare for exams with exam-style questions in chapter 14

Get students talking with Discussions that include open-ended questions

Focus on technical vocabulary and unfamiliar terms with key term definitions on the page

Draw together learning from each chapter with a Case Study

Provide extended tasks with the Project work sections at the end of each chapter

Assess your learning before moving on with the Check your progress feature

Check your understanding with answers at the back

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AQA Level 3 Mathematical Studies Student Book (Collins AQA Core Maths)

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Buy AQA Level 3 Mathematical Studies Student Book (Collins AQA Core Maths) Student diction by Ball, Helen, Ransom, Peter (ISBN: 9780008116200) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.

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You will need an A4 file to store your notes, along with lined paper and stationery that includes the following: Pens and pencils, Highlighter pen, Ruler, Scientific Calculator, Protractor, Compass