# Trapezoid Garden Challenge

11-13 yrs old

Art and Design

Math & Economics

Designed for Ontario curriculum expectations aligned with the Grade 6 Spatial Sense strand. Students will model an extension of a textbook question.

Submitted By: Jan Lewis

April 23, 2021

#### Skills

• Communication
• Creativity
• Critical Thinking

### External References

Use this video to introduce, reinforce, or remind students about how to find the area of a trapezoid when dimensions are known.

#### Supporting Files

Textbook garden question

This is the textbook question that is the basis of this activity.

Student Example

A portfolio photo taken from one student's submitted work.

Trapezoid Garden Challenge World File

A basic world with an introductory NPC and a suggested space for building their garden.

### Learning Objectives

• E2. Measurement Overall Expectation: Compare, estimate, and determine measurements in various contexts
• Area E2.4 determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas

### Guiding Ideas

Consider the image taken from a math textbook.

We will be modeling a garden and using it to calculate area of trapezoids, as suggested in this question.

In Minecraft we deal in whole blocks, not decimals, so for this activity we will ignore the decimal and convert the measurements to double-digit numbers (ex. 1.4m becomes 14m).

### Student Activities

Use these steps to complete your Garden Challenge

2. Once downloaded, open the file and it will launch Minecraft: Education Edition. (If it will not open for some reason, you can also just open a new world and go find a large meadow near water that would be good to build a garden)
3. Create the frame of your garden using three trapezoids of different sizes, together forming a rectangle, like you see in the image, making sure to keep a border dividing the plants in one from those in another.
4. Plant at least three different kinds of crops inside each of the trapezoids, as suggested by the image.
5. Measure the dimensions of your trapezoid sections and label them.
6. Take photos of your finished garden, with captions and export your portfolio into a page in OneNote.
7. Calculate the area of each trapezoid section within OneNote and share the final area of the whole garden.
8. Calculate the area of the whole garden in another way then answer this question: Are the two areas the same or different? Explain this result.

### Performance Expectations

Students will be able to:

• download the world, login and use the camera & portfolio to demonstrate completion of the mathematical model, as explained
• construct a rectangle and then subdivide it into 3 trapezoids
• measure the dimensions of the trapezoids and label in-game
• visually differentiate the edges of each trapezoid and fill each subsection with a different plant or category of plant
• export the portfolio to another digital space
• expand on the work shown in the model by using it to perform calculations of area in more than one way
• reflect on their results in text or in discussion with the teacher

#### Skills

• Communication
• Creativity
• Critical Thinking

### External References

Use this video to introduce, reinforce, or remind students about how to find the area of a trapezoid when dimensions are known.

#### Supporting Files

Textbook garden question

This is the textbook question that is the basis of this activity.

Student Example

A portfolio photo taken from one student's submitted work.

Trapezoid Garden Challenge World File

A basic world with an introductory NPC and a suggested space for building their garden.