#### Skills

- Collaboration
- Communication
- Critical Thinking

### Learning Objectives

- Students create a pixel image across the four quadrants of a Cartesian plane and plot the coordinates for a peer to make the image within the Minecraft world. Students will:
- Explain the source of the name "Cartesian." and describe and correctly label its parts
- Recognise and describe that the number plane consists of a horizontal axis (x-axis) and a vertical axis (y-axis), creating four quadrants
- Plot and label points, given coordinates, in all four quadrants of the number plane
- Explain how understanding graphing will help with solving the design challenge
- Recognise that the number plane (Cartesian plane) is a visual way of describing location on a grid.

### Guiding Ideas

What is a coordinate plane?

Where and in what context are coordinates used in our everyday life?

When plotting coordinates, which number comes first?

### Student Activities

Students will work both individually and in pairs for this lesson.

- Explore Minecraft world with students. Discuss what they can observe. This leads into discussion about what is a Cartesian plane and where they have seen them and what they are used for.
- To familiarise the students with the Cartesian plane you can say a coordinate and have the students race to that coordinate. This can lead to a discussion about the ordering of the numbers and the x and y axis.
- Student A will then create (be given) a Cartesian plane that they will create their pixel image (this can be in one quadrant or all four, depending on differentiation). They will record the coordinates as they create the image.
- Student A will then place blocks to create their image in Minecraft, following their own coordinates.
- Student A will then share their coordinate instructions with Student B, who will open the world and attempt to create the image on the Cartesian plane.
- Meanwhile Student A will do the same with Student B’s image.
- The students can then compare their completed pixel images to see if the coordinates were correct or followed correctly.

**N.B. You will find 6 student example challenges attached to this lesson. They are examples for your students to consider They could also be used to reverse engineer and discover the Cartesian coordinates used to create them.**

### Performance Expectations

Students will develop knowledge of the four quadrants on a Cartesian plane and with given coordinates, be able to find and plot those points onto a Minecraft Cartesian plane.

Furthermore, students will be able to create a pixel image on a Cartesian plane and plot those coordinates as instructions for a peer to create within Minecraft.

**Victorian Curriculum:**

Mathematics: Number and Algebra/ Linear and non-linear relationships

- Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (VCMNA255)Plot
- Plot linear relationships on the Cartesian plane with and without the use of digital technologies (VCMNA283)

#### Skills

- Collaboration
- Communication
- Critical Thinking