# Canadian Mathematics Curriculum

## Maths Grade 12 - Mathematics of Data Management

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#### Example of Study Topics:

# | TOPIC | TITLE | +/- | |
---|---|---|---|---|

1 | Study Plan | Study plan - Grade 12 - Mathematics of Data Management | Info | Go |

Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
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2 | Probability | Simple events | Info | Go |

Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) |
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3 | Probability | Rolling a pair of dice | Info | Go |

Objective: To find the probability of selected events when two dice are rolled |
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4 | Probability | Experimental probability | Info | Go |

Objective: To find the experimental probabilities of an experimental trial |
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5 | Probability | Experimental probability | Info | Go |

Objective: To use tree diagrams to determine sample spaces and compound probabilities |
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6 | Probability | Tree diagrams: depending on previous outcomes | Info | Go |

Objective: To use tree diagrams where the probability is dependent on previous outcomes |
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7 | Probability | The Complementary Result | Info | Go |

Objective: To calculate the probability of complementary events using P(E) = 1 - P(not E) |
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8 | Probability | P[A or B] When A and B are NOT mutually exclusive | Info | Go |

Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B) |
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9 | Statistics part 1 | Frequency distribution table | Info | Go |

Objective: To construct a frequency distribution table for raw data and to interpret the table |
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10 | Statistics part 1 | Frequency histograms and polygons | Info | Go |

Objective: To construct and interpret frequency histograms and polygons |
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11 | Statistics part 1 | Relative Frequency | Info | Go |

Objective: To extend the frequency distribution table to include a relative frequency column |
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12 | Statistics part 1 | The Range | Info | Go |

Objective: To determine the range of data in either raw form or in a frequency distribution table |
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13 | Statistics part 1 | The Mode | Info | Go |

Objective: To find the mode from raw data and from a frequency distribution table |
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14 | Statistics part 1 | The Mean | Info | Go |

Objective: To calculate means from raw data and from a frequency table using an fx column |
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15 | Statistics part 1 | The Median | Info | Go |

Objective: To determine the median of a set of raw scores |
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16 | Statistics part 1 | Cumulative Frequency | Info | Go |

Objective: To construct cumulative frequency columns, histograms and polygons |
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17 | Statistics part 1 | Calculating the Mean from a Frequency Distribution | Info | Go |

Objective: To determine averages (mean, median and mode) from cumulative frequency polygons |
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18 | Statistics part 2 | Calculating mean, mode and median from grouped data | Info | Go |

Objective: To identify class centres, get frequency counts and determine mean, mode and median values |
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19 | Statistics part 2 | Using the Calculator for Statistics | Info | Go |

Objective: To find a mean, using a data set or a frequency distribution table and calculator. |
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20 | Statistics part 2 | Measures of Spread | Info | Go |

Objective: To determine a range and use it in decision making |
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21 | Statistics part 2 | Standard deviation applications | Info | Go |

Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator |
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22 | Statistics part 2 | Applications of Standard Deviation | Info | Go |

Objective: To use standard deviation as a measure of deviation from a mean |
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23 | Statistics part 2 | The Normal Distribution | Info | Go |

Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges |
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24 | Statistics part 2 | Measures of Spread: the interquartile range | Info | Go |

Objective: To find the upper and lower quartiles and the interquartile range |
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25 | Statistics part 1 | Stem and Leaf Plots along with Box and Whisker Plots | Info | Go |

Objective: To derive statistics from data represented as stem & leaf or box & whisker plots |
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26 | Statistics part 1 | The Scatter plot | Info | Go |

Objective: To make a valid interpretation of data presented as a scatter plot |
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27 | Probability | The Binomial Theorem and Binomial Coefficients | Info | Go |

Objective: To calculate binomial coefficients and expand binomial powers. |
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28 | Probability | Binomial probabilities using the Binomial Theorem | Info | Go |

Objective: To calculate the binomial probability of a given number of successful trials |
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29 | Probability | Counting techniques and ordered selections | Info | Go |

Objective: To use counting techniques in probability |
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30 | Probability | Unordered selections - combinations | Info | Go |

Objective: To use the nCr formula to solve problems where unordered selections occur |
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31 | Exam | Exam - Grade 12 - Mathematics of Data Management | Info | Go |

Objective: Exam |

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