{{:2018:mathematics:mathematical-thinking-banner-790x50.jpg|Mathematical Thinking Banner}}
====== STUDENT CLASSROOM ACTIVITY - CUPS, BOWLS & PLATES ======
=== MY END OF TERM CLASS PARTY ===
{{ :brainbox:young-mathematicians:workshops:cups:party-guinea-pig-640x360.jpg |Party Guinea Pig}}

=== Date: __.__.__ ===

=== Title: Cups, bowls and plates ===

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INTRODUCTION

**We are planning to have an 'End Of Term' party in our classroom.**
  * It's our job to make sure that every student has a one table setting made up of exactly:
    - one cup
    - one bowl
    - one plate

**Each of the table setting (each combination of cups, bowls & plates) must be different:**
  * Each setting must have at least one item colour that makes it different to every other setting.

**Your teachers will choose students to work in three teams of ten (depending on class size).   **
  * Each team will need to have ten or more of each item (in whatever colours are specified below) to build place settings.

{{ :brainbox:young-mathematicians:workshops:cups:party-cups-plates-640x360.jpg |Cups plates bowls}}

Fig 1. The cup, plate and bowl in the above image are just an example only

====== GETTING STARTED ======
<WRAP box>
  * We need to complete the first four parts (PART ONE - FOUR) this week, to make sure that we are ready to start PART FIVE next week.
  * We need to complete PART 5 next week to prove that we are ready to organise our real, end of term party, with different coloured settings for each of the 30 guests.
</WRAP>
 
=== 1. PART ONE ===
Write the date and the title **1. Cups, Bowls and Plates** on a clean page in your journal.

Make a prediction of the number of different settings you think you can make using.
  * **CUPS of three colours: RED, WHITE, BLUE.**
  * **BOWLS of two colours: RED, WHITE**
  * **You have NO plates**

Working together, make as many settings of different colour combinations as you can.

Write down your prediction and draw a circle around the number.

Write down how many settings that you made and convince each-other that you have found all of the possible settings (that there are no more or no less). Draw a square around the number that you found.

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=== 2. PART TWO ===
Write the date and the title **2. Cups, Bowls and Plates** on a clean page in your journal.

Divide into three groups - no more than ten students in each group.

You will be given ten cups, ten bowls for each of the following colours:
  * **CUPS: RED, WHITE, BLUE**
  * **BOWLS: RED, WHITE**
  * **PLATES: WHITE**

Make a prediction of the number of settings of different colour combinations that you think your team can now make:
  - Write down your prediction and draw a circle around the number.
  - Working together, make as many settings as you can make using different colour combinations.

Write down how many settings that you made and convince each-other that you have found all of the possible settings (that there are no more or no less possible colour combinations).

Draw a square around the number that you found.

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=== 3. PART THREE ===
Each group will be given ten extra plates of a new colour (RED)

You will now have ten cups, ten bowls and ten plates for each of the following colours:

  * **CUPS: RED, WHITE, BLUE**
  * **BOWLS: WHITE. RED**
  * **PLATES: RED, WHITE**

**Is it possible for 10 children at the party to each have a different colour combination of one cup, one bowl and one plate?**

**Write down your prediction and draw a circle around it.**

Convince others that you have found all of the possible combinations.

Write down how many combinations that you found, and then draw a circle around your answer

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=== 4. PART FOUR ===
Is it possible for **15 children** at the party each to have a different combination of cup, bowl and plate?

Write down your prediction and draw a circle around it. 

What is the smallest number of different colours would you need for:
    - **CUPS = (how many colours)?**
    - **BOWLS = (how many colours)?**
    - **PLATES = (how many colours)?**

Write down your prediction and draw a circle around the number.

Convince your team that you have found all of the possible settings (that there are no more or no less). Draw a square around the number that you found using your solution.

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=== 5. PART FIVE ===
Planning Your 'End Of Year Class Party'

Is it possible for **30 children** at the party each to have a different colour combination of cup, bowl and plate?

How many items of each colour do we need so that we can give every student in our class a place at the party if we give them each one cup, one bowl and one plate?

Write down your prediction and for 'number of colours' and 'number of items' - Draw a circle around these numbers.
 
Compare & Justify Your Solutions With Your Group/Class.

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