The tiles · Grades 3 to 4

Fraction

Fractions and equivalent fractions

Make 3/8 of a whole of eight dots. Then make 1/4 of twelve.

On the way This tile's page is up; the playable version follows.

What your child does

A whole laid out as a tidy rectangle of dots, and a fraction to make: light the right number of parts. Because the whole can be bigger than the denominator, 1/4 of 8 is two dots and 1/4 of 12 is three, which is what equivalent fractions mean before anyone says the words.

Later rungs add two fractions with the same pieces, where a child who adds the bottoms as well as the tops lights the wrong number of dots and the board says so.

What it teaches

  • Unit fractions
  • Fractions like 3/4
  • Equivalent fractions
  • Adding fractions, same denominator
  • Fraction times a whole number

Mistakes it recognises as your child plays

  • Adding the tops and adding the bottoms
  • Adding the same number to top and bottom
  • Multiplying a whole number into top and bottom

See what it finds.

Fraction is also one of the games in the five-minute fractions: equal parts, equivalence, adding check, which plays several tiles, picks the next problem from the last answer, and names the pattern it sees.

The other tiles

Stacks · Carry · Make Ten · Chart · Odometer · Time · Brick · Rectangle

Cardinal Math watches for all of these, every day.

Inside the app the same patterns are caught as your child plays, across the whole of K to grade 5, and explained to you in plain words. One price, no ads, no streaks. Coming to iPhone and iPad.

Tell me when it's out