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# Achi Chance Game

Description

Achi is a strategy game from Ghana and is a more advanced form of noughts and crosses. Players take turns putting their markers on a 3x3 board, with the aim of trying to get three in a row. While playing, students will be required (unconsciously) to collect data and make predictions based on probability, to develop their own strategy for winning.

These reflective strategies (“If I do this, then they will do that.”) develop Mathematical thinking and problem solving.

Engage your students in a discussion using questions like:

• “Was there a pattern that you observed when winning?”
• “Did you change how you played after learning how the game worked?”
• “Does it make a difference who goes first? Do you play differently if you go second?”
Suitable for
• Fast Finishers
• Relief Teachers
Lesson Structure
• Rotations / Group Work
• Class Activity
Curriculum Codes

MA1-2WM old

Uses objects, diagrams and technology to explore mathematical problems

MA1-1WM old

Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols

MA1-3WM old

Supports conclusions by explaining or demonstrating how answers were obtained

MA1-18SP old

Recognises and describes the element of chance in everyday events

MA2-19SP old

Describes and compares chance events in social and experimental contexts

MA2-3WM old

Checks the accuracy of a statement and explains the reasoning used

MA2-1WM old

Uses appropriate terminology to describe, and symbols to represent, mathematical ideas

MA1-17SP old

Gathers and organises data, displays data in lists, tables and picture graphs, and interprets the results

MA1-CHAN-01 new

Recognises and describes the element of chance in everyday events

MA1-DATA-01 new

Gathers and organises data, displays data in lists, tables and picture graphs

MA1-DATA-02 new

Reasons about representations of data to describe and interpret the results

MA2-CHAN-01 new

Records and compares the results of chance experiments

VCMSP101

Choose simple questions and gather responses

VCMSP126

Identify a question of interest based on one categorical variable. Gather data relevant to the question

VCMSP127

Collect, check and classify data

VCMSP147

Conduct chance experiments, identify and describe possible outcomes and recognise variation in results

VCMSP125

Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’

VCMSP100

Identify outcomes of familiar events involving chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’

VCMSP175

Describe possible everyday events and order their chances of occurring

VCMSP176

Identify everyday events where one cannot happen if the other happens

VCMSP177

Identify events where the chance of one will not be affected by the occurrence of the other

AC9M2ST01 9

Acquire data for categorical variables through surveys, observation, experiment and using digital tools; sort data into relevant categories and display data using lists and tables

AC9M1ST01 9

Acquire and record data for categorical variables in various ways including using digital tools, objects, images, drawings, lists, tally marks and symbols

AC9M3P02 9

Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation

AC9M3P01 9

Identify practical activities and everyday events involving chance; describe possible outcomes and events as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’ explaining reasoning

AC9M4P01 9

Describe possible everyday events and the possible outcomes of chance experiments and order outcomes or events based on their likelihood of occurring; identify independent or dependent events

ACMSP024 8.4

Identify outcomes of familiar events involving Probability (Chance) and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’

ACMSP262 8.4

Choose simple questions and gather responses and make simple inferences

ACMSP047 8.4

Identify practical activities and everyday events that involve Probability (Chance). Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’

ACMSP048 8.4

Identify a question of interest based on one categorical variable. Gather data relevant to the question

ACMSP067 8.4

Conduct Probability (Chance) experiments, identify and describe possible outcomes and recognise variation in results

ACMSP093 8.4

Identify everyday events where one cannot happen if the other happens

Differentiation

### Modifications

Have students begin by playing noughts and crosses and talking through different strategies for that game, before introducing Achi.

### EXTENSIONS

Instead of four pieces for each player, you can reduce the number of markers to three, making a game known as ‘Three Men’s Morris’ or ‘Nine Holes’.