Connecting Rules

x = 3

y = 4

Find 20 rules connecting x and y

Eg. 5y - 17 = x

A Mathematics Lesson Starter Of The Day


Topics: Starter | Algebra

  • S Curtis, Brune Park CC
  • One of my more industrious students thought it clever to sequence it as follows:
    y-1 = x
    2y-5 = x
    3y-9 = x etc...
  • Heeley's Y7 brainboxes, Rawthorpe High, Huddersfield
  • We thought this was bare cushtie (this means very good)! we recognised that there are an infinite number of possibilities.
    Watch out for Mr Heeley on Teacher's TV on May 5th at 10pm. (Sky channel 880, Virgin 240).
    God bless you all at Transum
    Love Y7 xx
  • N. Cox, Woodbridge, Suffolk
  • Excellent open-ended starter which led to work with powers, brackets roots and many different types of equations.
  • Jules, Longton High School
  • 5. More like this please!
  • 7ab/M4 The Best Maths Class In KA's, King Alfred's College OXON
  • Some students in the class came up with these examples:
    Then we thought about squaring the values.
  • Luke, Savio Salesian College
  • My class were very good at this starter,i think you should make a similar one.
  • Transum,
  • This starter provides an open ended opportunity for pupils to demonstrate what they can remember about algebra. It is a suitable activity for most ability levels and a quick walk around the classroom to see what pupils are writing provides a quick assessment of their understanding and imagination.
  • Mr Anderson, Garth Hill College
  • This is a good warm up for any class.

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This starter has scored a mean of 3.1 out of 5 based on 337 votes.

Previous Day | This starter is for 20 April | Next Day


There are of course no end of correct answers and here are some examples.

There is at least one mistake. Can you find the errors when x=3 and y=4?

\(x + y = 7\) \(x - y = -1\) \(y - x = 1\)
\(2x + 3y = 18\) \(5x - 2y = 7\) \(4y - x = 13\)
\(xy - 10 = 9\) \(180 - 2x + y = 178\) \(20x - 3xy = 24\)
\(x^2 + y = 13\) \(10x - y^2 = 14\) \(y^2 - x^2 = 7\)
\(x^2y + 13 = 62\) \(x^2y^2 - 2x = 138\) \(x^2y^2 = 576\)
\(x! + y = 10\) \(5(x + y) = 52\) \(3y \div x = 4\)
\(\frac{xy}{2}= 6\) \(\frac{84}{xy}= 7\) \(\frac{36y}{5x}= y\)

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

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Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

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Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Here is the URL which will take them to a related student activity.

Student Activity


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