Theory Play Share & Discuss

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Teach Comparison
with Slice Fractions

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Theory

Comparison

Compare two fractions to one another and understand their relationship!

Teacher Resources

  • Theory: This lesson is all about comparing different fractions to one another.
  • Play: The students complete the fourth level group in the game (4. Comparison).
  • Share & Discuss: These tasks have the students practice fraction comparison.

Fraction comparison

Fraction comparison.

Teacher Resources

It’s a good idea to also mention that multiplying and dividing like this allows you to easily compare two completely different fractions to one another.

Adding or Subtracting Fractions

  • Comparing fractions means understanding how many times bigger or smaller a fraction is to another.
  • If you want to add or subtract fractions, they need to have the same denominator.
  • To change a fraction’s denominator, multiply (or divide) both its numerator and denominator.

Teacher Resources

A useful skill is to be able to compare fractions.

Which Fraction?

Gameplay screenshot.

Teacher Resources

The answer is a quarter.

Play

Lesson Goal

Now is the time to play Slice Fractions!

Play the game until you get out of the caves (4. Comparison levels complete).

Gameplay screenshot.

Teacher Resources

Now is the time to continue playing Slice Fractions!

You can have students play the game until about 5-10 minutes of lesson time remains. Move then to the next slide, or after all students are done with the “4. Comparison” levels (they are done when they get out of the caves).

Students may have difficulty finishing every puzzle in this lesson. You can let them continue where they left off on the next lesson: it is not a problem if they do not manage to finish all levels in the 4. Comparison group.

It can be a good idea to provide advanced students with additional exercises if they finish early. It’s a better alternative than let them continue playing after the 4. Comparison levels, because then they will be starting from a different point in the next lesson.

How to Play

Select the island in the center.

Gameplay screenshot

Then, select the level you want to play to begin.

Gameplay screenshot

Share & Discuss

Share & Discuss

  • Did you have a favorite puzzle?
  • What do you think of comparing fractions?
  • Is there something you didn’t understand?

Tasks after Playing

How do you effectively compare fractions?

Show Notes

By having the same denominator. In some cases, it’s enough to change one of the fractions to have the same denominators, but you might need to convert both fractions. This is done by multiplying both the denominator and numerator of a fraction with the same value. These concepts are challenging and will likely need to be revisited on later lessons.

Convert the following pairs to have the same denominator:

a) 14\frac{1}{4} and 12\frac{1}{2}

Show Notes

14\frac{1}{4} and 2122\frac{2 * 1}{2 * 2} = 24\frac{2}{4}

b) 26\frac{2}{6} and 23\frac{2}{3}

Show Notes

26\frac{2}{6} and 2223\frac{2 * 2}{2 * 3} = 46\frac{4}{6}

c) 24\frac{2}{4} and 35\frac{3}{5}

Show Notes

5254\frac{5 * 2}{5 * 4} and 4345\frac{4 * 3}{4 * 5} = 1020\frac{10}{20} and 1220\frac{12}{20}

Teacher Resources

You can give the students time to consider these questions. They can answer them as pairs, as small groups, or individually, whichever way you prefer. These tasks function as control questions and help students demonstrate their learning which will help your assessment. It’s a good idea to also have a look at the student analytics in TeacherGaming Desk.

The first and second pairs are easy, because you only need to multiply one of the fractions. The third one is a trick question, and a way for you to teach the students that one way to get the same denominator for two different fractions is by multiplying the fractions with each other’s denominators (in this case, 2/4 with 5 and 3/5 with 4).