Charlotte McFarlan

@charlottemaths.bsky.social

948 Followers 938 Following

Ex Maths Teacher now working in ITT

Photo of four books:
The Names by Florence Knapp
It’s Not What You Think by Clare Mackintosh
The Wedding People by Alison Espach
The Paper Palace by Miranda Crowley Heller

Dahlias

Screenshot of light-hearted exchanges at PMQs, including about the 6-7 meme

Iced cake that reads “thank you for SI26”

Sunny street with blossom in the foreground

Image of five slide rules in a museum

Sun rising behind a hill

1. (a) Work out =4 x -3
-6
(b) Add brackets to make the statement correct.
2 + 3 × 6 - 4 = 8
(c) Calculate the value of 3 x V9
(5 marks)

A line graph from The Guardian showing 12 most popular A Level subjects. 5 of the subjects all have the same coloured grey line

“..more surprising, however, is that those who had lost the argument agreed tha they had lost the argument. The focus shifted from what kind of system there should be to making the comprehensive system work.
Although, for the reasons discussed above, it is impossible to be sure of the reasons for a country's success, similar political stability appears to have been an important factor in the success of Singapore, Hong Kong, Taiwan, Shanghai an Korea. However, it is far from clear whether policies that take a long time to implement would be possible to implement in countries like England, where ed. cation is treated as something of a political "football" with policies changing with changes of government, and even changes in ministers of education. Looking a other countries may give us ideas. It will never provide us with solutions.”

The book “Things to Make and Do in the Fourth Dimension by Matt Parker”

Core Maths exam question showing monthly gym prices for different ages. Under 21s and over 65s pay £9 a month. Everyone else pays £12 a month

Image of rooftops

The equation x^3 -2x^2+19=0 has a root in the interval (-3,-2).
Use an appropriate iteration formula to find an approximate solution to 2 d.p.

P(B) = P(B|A) + P(B|A')

Leaflet with a photo of Miatta Fahnbulleh MP with pink and orange colour theme. Leaf twist says “I’m Your MP” on the front.

A formula for P(A given B)

Screenshot of Teacher Tapp question asking if teachers mention their partner to their class

Screenshot from Strands - New York Times word game - where the theme is “Westminster assembly”

The lifetimes of Superbulbs are normally distributed with a standard deviation of 35. A random
sample of five Superbulbs were tested and the number of hours they lasted were recorded. They were:
2130 2543 2450 2654 2481
Calculate a 90% confidence interval for the mean lifetime of Superbulbs.
SOLUTION
2130 + 2543 + 2450 + 2654 + 2481 = 12258
12 258
51
- = 2451.6
A probability of 0.95 in the tables gives a z-score of 1.6449.
90% confidence interval for mean is 2451.6 + 1.6449 * 35 hours
V5
That is, 2451.6 $ 25.7 hours or 2425.9 to 2477.3 hours

A machine produces bolts of diameter D where D has a normal distribution with mean 0.580 cm
and standard deviation 0.015 cm.
The machine is serviced and after the service a random sample of 50 bolts from the next production
run is taken to see if the mean diameter of the bolts has changed from 0.580 cm. The distribution of
the diameters of bolts after the service is still normal with a standard deviation of 0.015 cm.
a Find, at the 1% level, the critical region for this test, stating your hypotheses clearly.
The mean diameter of the sample of 50 bolts is calculated to be 0.587 cm.
b Comment on this observation in light of the critical region.

Screenshot of question from Teacher Tapp asking how you found your last job

Screenshot from Google Classroom showing homework called “Sparx Maths” scheduled each week for the next 5 weeks

Curve of pursuit in a square coloured in

Screenshot with headline “Government department spends £1200 on two folders”

Maclaurin series using hyperbolic

A screenshot of a question where a sequence of numbers is defined iteratively and then students need to prove by induction that the nth term is given by 3^n(n+1)

Screenshot of a slide saying “The Central Limit Theorem allows us to say X bar is approximately normally distributed, even if the original population distribution is not normally distributed. However, we require the sample size to be large for the normal distribution to be a good approximation”

Screenshot from a Dr Frost lesson on chain rule

Screenshot from a Dr Frost lesson on chain rule

Screenshot from a lesson about the geometric distribution

$Screenshot of worksheet where you have to fill in a missing numerator or denominator in a fractions of amounts question$

Cover of the book Sister by Rosamund Lupton