#### Skills

- Creativity
- Critical Thinking

### External References

Supporting Minecraft world file.

Related Engage NY Module link.

Tutorial video for teachers and students.

### Learning Objectives

- CCSS.Math.Content.3.NF.A.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.

### Guiding Ideas

**Opening Sideshow and Prototyping **

Materials:

Math notebooks and pencils (colored pencils and graph paper are good for this too)

Slideshow file

Whiteboard and markers

The point of the slideshow (see Supporting Files) is to teach how to build and explain the math models. Once you have figured this out, you can build these models and project them on the board, while your students take notes and write the math in their notebooks. The pictures and student work will look like this.

Once you feel your students understand how to show number line fractions with Minecraft, give them their worksheets (also in Supporting Files) and have them sign on to Minecraft, up to 4 students in a world.

### Student Activities

**The Steeplechase Track **

The students will enter the game in groups of 2-4 at the game lobby located at coordinates 135 5 -126 and push the start button. Next they will be teleported with blocks, a pickaxe, signs, a camera, and portfolio to their number lines. The students will then match their worksheets to their Minecraft number lines. After that, they will build the horse jumps by placing blocks representing fractions on the number line.

**Peer Review **

Once students have completed their number lines, they need to take a picture of at least one of their number lines and write how it is math. Then they will go to peer review and review fellow students’ work. The will check for accuracy and take a photo saying why a number line is correct or not.

See the supporting files section for an example of what the portfolio should look like.

Next is to play the mini-game.

**How to Play Fraction Steeplechase **

Once all students in a group have finished and peer reviewed their number lines, push the start game button located just to the right of the stables, 129 5 -191. The players will be teleported to the area where they choose their stables. (One player must go into the PLAYER 1 stall to correctly start the game.)

The students will be teleported to their stable with a horse, 64 wheat, a saddle, a sword, a bow, and arrows. Now they will need to tame their horse. To do this, feed all 64 wheat to the horse by holding the wheat and right clicking the horse. You will know the horse is tame when hearts come out of it and it lets you ride it.

To put a saddle on your horse, first you must mount the horse and push “e” to open your inventory. Then drag the saddle into the saddle slot.

After all players have tamed and saddled their horses, PLAYER 1 will hit the start button, then a gate will open and the race will begin. When the winner horse crosses the finish line, the horse will disappear and the winner will be teleported to their podium. They will set off some fireworks and reset the game to play again.

**Debrief Questions **

1. What patterns did you see in the fractions on the number lines?

2. What does it mean if the numerator is larger than the denominator?

3. How do we find a mixed number on a number line?

### Performance Expectations

Depth of Knowledge 4

The student did all of the following:

1) The student was able to build and explain Minecraft math models that show fractions, improper fractions, and mixed numbers on number lines.

2) The student was able to label their Minecraft math models with correct fractions on signs.

3) The student was able to peer review the Minecraft math models and slates of others to check for accuracy.

4) The student was able to document their models with pictures in their portfolios.

5) The student was able to explain number patterns in fractions, such as “a/a=1, or 2a/a=2”.

Depth of Knowledge 3

The student did three out of five listed above.

Depth of Knowledge 2

The student did two out of five listed above.

Depth of Knowledge 1

The student did one out of five listed above.

#### Skills

- Creativity
- Critical Thinking

### External References

Supporting Minecraft world file.

Related Engage NY Module link.

Tutorial video for teachers and students.