Mirror Maths

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The bottom half of some symmetrical calculations are shown above.

Can you work out the answers?

Can you make up some other calculations where the calculation and the answer both have horizontal lines of symmetry?

Can you make up some other calculations that have vertical lines of symmetry?

A Mathematics Lesson Starter Of The Day


Topics: Starter | Arithmetic | Puzzles | Symmetry | Transformations

  • Aimee Hamilton, Harrytown Catholic High School
  •  
  • 80+101=181
  • Abigail Latham, Swinton
  •  
  • Hello.
    Im Abigail Latham From St. Charles Rc Primary School Swinton Manchester
    And I Found That 300+100+300+300=1000
    30+30+30+10=100
    10x10=100
  • Abz :D, St Charles Rc Primary
  •  
  • -100+300+300+300=800
    800x10=8000
    0x10=0
    300.08x10=3000.8
    =]:D
  • Alice K, St Matts
  •  
  • 100 + 88 +111 +1 = 300.
  • Primary 7, Bargeddie Primary School
  •  
  • We enjoyed this starter, especially since one of our groups are studying symmetry...
    Here are some of our examples:
    333 - 333 + 1 = 1
    33 x 3 + 1 = 100
    11 x 3 = 33
    111 - 111 + 8 = 8
    Callum in our class also noticed that multiplying any combination of multiples of 10 would give a symmetrical answer:
    e.g. 1000 x 1000, 1 000 000 000 x 1000, 10 x 100 000 000 000 etc.
  • Mr. T, Gartree High School
  •  
  • Good for younger groups like year 7s since the sums are pretty straight forward but they liked trying to work out how to reflect the digits.
  • Prendergast, 9.1 Maths
  •  
  • 11 + 11 + 11 = 33
    11 + 11 + 38 + 10 + 10 = 80
    8 x 1 = 8
    11 x 3 = 33
    11 x 8 = 88
    13 + 18 = 31
    3 x 1 = 3
    1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8
    1 + 1 + 1 = 3
    symmetrical number x 0 = 0.
  • Tomiloba Awosika, Bishop Challoner School
  •  
  • Tomiloba from Bishop Challoner School 8B3 has come up with an example - 300 + 300 + 300 - 100 = 800.
  • Elliot, 7X3WO
  •  
  • 10+0=10.
  • Octavia Pullman, London School Of Rock, London
  •  
  • 30+8= 38.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

Previous Day | This starter is for 10 March | Next Day

 

Answers

l l + 38 = 49

88 x 33 = 2904

838 - 383 = 455

l 8 l x l l = 1991

3 l + 3 l + 3 l = 93

l 0 x l 0 l + l l l = 1121

l 8 l x l 3 l - 80 = 23631

l 380 + 38 - 83 = 1335

 

Your next challenge is to make an equation with a horizontal and a vertical line of symmetry or a mathematical ambigram

Ambigrams were made famous in Dan Brown's novel "Angels and Demons"



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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

Transum.org/go/?Start=March10

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to an activity about rotational symmetry.

Transum.org/go/?Num=277

Student Activity

 


The Non-Statutory Guidance (for the English National Curriculum) states that before beginning transforming shapes at Key Stage 3, students should already have a
secure understanding of the following learning outcomes from study at upper Key Stage 2:

Key ideas

Transum has a Starter which provides practice reflecting shapes on squared paper. It is called Reflective Cat.

Apple

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