A Maths Starter of The Day

Fractangle

What fraction of this rectangle has been shaded black?

What fraction is shaded

What fraction of this circle has been shaded red?

Circle

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Topics: Starter | Fractions

  • Transum,
  •  
  • Click on the small green button below the rectangle to see the shaded areas line up in the lower third of the diagram. Was that a revelation? A similar transformation can be applied to the circular pattern. Pupils could be challenged to devise a similar pattern that shows two fifths shaded. It would be wonderful to see what they come up with.
  • Katie, Durham
  •  
  • The problem is that students can get the correct answer with a misconception by counting the number of shaded pieces out of the total number of pieces regardless of their size.

    [Transum: Thanks Katie. Maybe we should add that students have to explain how they got their answer. That might help highlight the misconception.]
  • Jonathan Harrison, oaklands.ac.uk
  •  
  • Or unshade one of the shaded parts of the question.

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This starter has scored a mean of 3.7 out of 5 based on 281 votes.


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Answers


Online Maths Shop

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.

Transum.org/go/?Start=August10

Here is the URL which will take them to a traditional fractions online exercise.

Transum.org/go/?to=fract

Student Activity

 


Extension 1

How many pizzas?

How many pizzas?

 


Extension 2

Make up a mathematical question about this hypnotic design.

The hypnotic design above was adapted from code made available by Emma http://chilliconcode.com/uncategorised/hypnoctic-css-spinning-illusion/

Apple

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