Compare two fractions to one another and understand their relationship!

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Compare two fractions to one another and understand their relationship!

**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.

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.

- 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.**

A useful skill is to be able to **compare** fractions.

The answer is a **quarter**.

Now is the time to play **Slice Fractions!**

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

**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.

Select the island in the center.

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

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

How do you effectively compare fractions?

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)

b)

c)

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).