# Geometry - Points Lines Planes

8-10 yrs old

11-13 yrs old

14-18 yrs old

Math & Economics

As an early activity in the school year, students can be given the chance to visualize points, segments, rays, lines, and planes in a Minecraft world.

August 7, 2020

#### Skills

• Creativity
• Critical Thinking
• Project Based Learning

#### Supporting Files

Geometry - Points Lines Planes.mcworld.zip

This is a pre-made world with exploration problems and a prescribed path built in with students starting at the schoolhouse.

### Learning Objectives

• This is a one day activity. The primary objective is to visualize key abstract concepts such as infinite length lines, rays, and the idea of planes. Additionally, how those interact through intersections.

### Guiding Ideas

Through this explorative building activity, students can begin to answer the following questions:

How can a line intersect a plane?  How can two lines intersect?  What does it mean to have opposite rays?  How is a line different than a segment?  How does an endpoint "lock" down the location of a shape?

### Student Activities

This is a one day activity for older students and possibly a two day activity for younger.  It can be completed alone or with a partner.  Students will walk through a series of challenges and will take screen shots of each completed task.

The activities scaffold in difficulty.

### Performance Expectations

As this is a pretty structured world, you only need to worry about:

Time - set a time limit of approximately 60 minutes and/or up to two days. You can differentiate by allowing students to complete less of the tasks or set a minimum amount.

Product - Students should take picture(s) of their finished project. You may ask them to take multiple pictures from different angles.

Quality - You may grade as right/wrong or depending on the age, you may want to develop a rubric for some of the more challenging activities provided.  Please note that the idea of a ray and line is abstract.   You may want to explain that a giant arrow at the end of a line of blocks isn't what was desired.  Ideally, the students will extend the blocks far enough where it disappears from sight.

#### Skills

• Creativity
• Critical Thinking
• Project Based Learning

#### Supporting Files

Geometry - Points Lines Planes.mcworld.zip

This is a pre-made world with exploration problems and a prescribed path built in with students starting at the schoolhouse.