Connecting Rules

A Maths Starter of The Day

x = 3

y = 4

Give 20 rules connecting x and y

Eg. 5y - 17 = x

 

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Keywords: Starter | Algebra

  • S Curtis, Brune Park CC
  • Monday, April 21, 2008
  • "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
  • Friday, April 25, 2008
  • "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
  • Wednesday, April 22, 2009
  • "Excellent open-ended starter which led to work with powers, brackets roots and many different types of equations."
  • 7ab/M4 The Best Maths Class In KA's, King Alfred's College OXON
  • Tuesday, April 05, 2011
  • "Some students in the class came up with these examples:
    yxyxxyxxxxy=524288
    yxyyx=2048
    Then we thought about squaring the values."

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This starter has scored a mean of 2.9 out of 5 based on 41 votes.

 

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Extension

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 = 4
2x + 3y = 18 5x - 2y = 7 4y - x = 13
xy - 10 = 2 180 - 2x + y = 178 20x - 3xy = 24
x2 + y = 13 10x - y2 = 14 y2 - x2 = 7
x2y + 13 = 49 x2y2 - 2x = 138 x2y3 = 576
x! + y = 10 5(x + y) = 52 3y รท x = 4
xy
2
= 6
84
xy
= 7
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.


Computer Teacher, do your students have access to computers?
Do you have "Laptops in Lessons"?

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

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Here is the URL which will take them to a concise version of this page.

Transum.org/go/?Start=April20

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

www.transum.org/go/?to=Connect

 

 



 

The errors are in equations numbered: 2, 3, 17, 21,

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