# LESSON PLAN 12

- Build a Hotel

- Arts (includes music, architecture ...), ICT (includes technical education, computer science ...), Mathematics (includes geometry, proportionality, finances ...)

- ISCED 3 = Upper Secondary Education

## Duration

1 teaching unit, 2 hours, 3 activities

## Topic

Suppose you are an architecture firm that is tendering to build a hotel.

## Synopsis

To build a hotel an obtain the maximum benefit

## Contributors

As the classes of students are inclusive the mathematics teacher is expected to be supported by an art and a home economics teacher that will support the activities through their special areas and provide the context for understanding and applying the counting principles in the context of their topics.

## Framework

## Material / Equipment

Material in the classroom

1 hour explanation from the mathematics teacher

2 hours in the computer room

## Previous knowledge and skills

Knowledge of using Excel

## Learning Objectives

**Learning goals and objectives:**

- Geometry
- Operations with integers

**Learning outcomes and expected outcomes:**

Use mathematical reasoning in non-mathematical environments.

- Make conjectures, experiment, argue, relate, check, validate, generalize and particularize in real-life contexts related to: numbers, geometry, functions, statistics and chance.
- Express orally and in writing reasoning, conjectures, quantitative relationships and information that incorporate mathematical, symbolic or graphic elements, assessing
- the usefulness of mathematical language and its evolution throughout history

## Methodology

Role-playing game that involves experimenting, guessing and arguing

## Preparation & Resources

Preparation, Space Setting, Troubleshooting Tips:

The activity will take place in the computer room

Resources, Tools, Material, Attachments, Equipment

All 50 cubes must be used, paper and pen.

One computer for each group

## Implementation

**STEP 1: Reading the rules for building and creating teams**

10′ presentation of the cubic group and presentation of the activity

2′ first construction in a small group

8′ calculations in small groups

5′ ordering of all proposals by estimate

10′ real arrangement

10′ definitive construction

5” second ordering

10′ final thoughts

Instruccions

**STEP 2: Understand the problem**

Construction rules

- Each cube represents a hotel room.
- All 50 cubes must be used.
- The hotel must stand stably.
- The hotel must be of one piece.
- All rooms must have at least one window.

**STEP 3: Experimentation, first hotels and first hypotheses**

**STEP 4: Improvement of hotels and presentation of the most beneficial ones**

** **Profit = Revenue – Costs

Income from each type of room (daily rate)

The more windows, the more income.

4 windows, 1 roof = 600€

4 windows, 0 roof = 500€

3 windows, 1 roof = 300€

3 windows, 0 roof = 250€

2 windows, 1 roof = 200€

2 windows, 0 roof = 175€

1 window, 1 roof = 150€

1 window, 0 roof = 125€

**Construction costs**

The cost of building the hotel is calculated based on the size of the land and the roof, the number of windows and the tax for the height of the building.

The land has a cost of €400 per square unit.

The terrain refers to the outline of the building’s bird’s eye view.

Closed ground is also loaded.

Examples:

The hotel on the left has an enclosed space. The total cost of the land is

18 units².

The hotel on the right has a total land cost of 13 units².

The roof has a cost of 10€ per square unit.

The windows cost 5€ each.

Tax on height of building is calculated by multiplying the tax rate for the highest floor by the total land cost.

Floors 1-10 —> 50%

Floors 11-20 —> 1000%

Floors 21-30 —> 2000%

Floors 31-40 —> 3000%

Floors 41-50 —> 5000%

The tax for the height of the building is calculated by multiplying the tax rate of the highest floor by the total price of the land.

Link excel document calculations

**STEP 5: Improvement of hotels and presentation of the most beneficial ones**

**STEP 6: Creation and presentation of the report**

## Outline of the Lesson

STEP 1: Reading the rules for building and creating teams

STEP 2: Understand the problem

STEP 3: Experimentation, first hotels and first hypotheses

STEP 4: Improvement of hotels and presentation of the most beneficial ones

STEP 5: Improvement of hotels and presentation of the most beneficial ones

## Extension Activities

This work is designed to be done in groups of 2 or 3 students, groups of 3 students will have a student with educational needs

## Assessmement

To evaluate the activity, the following will be taken into account:

A self-evaluation note evaluating the participation.

Co-assessment notes between group mates.

The teacher’s assessment.

Number of hotels built and the score obtained by the group.

A group report explaining what we have learned.

(To be decided) At the end of the activity, an individual written activity will be done.

**Report must include:**

Description of the best hotel built (room types, revenue, costs and profit)

Photo of the hotel

Explain what we have learned by building the hotel: what makes a hotel a good hotel? what to avoid what is better how do you build a “good hotel”?

Information about other hotels built

Other information that you think is appropriate

## References

Activity by Fawn Nguyen.

Lighting extract:

https://illuminations.nctm.org/Lesson.aspx?id=5988

Activity credits

Activity by Fawn Nguyen.

Excerpt from Illuminations: https://illuminations.nctm.org/Lesson.aspx?id=5988