# Grade 12 – Mathematics of Data Management Mathematics – Canada

### Grade 12 – Mathematics of Data Management Mathematics

# | TOPIC | TITLE | |
---|---|---|---|

1 | Study Plan | Study plan – Grade 12 – Mathematics of Data Management | |

Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. | |||

2 | Probability | Simple events | |

Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) | |||

3 | Probability | Rolling a pair of dice | |

Objective: To find the probability of selected events when two dice are rolled | |||

4 | Probability | Experimental probability | |

Objective: To find the experimental probabilities of an experimental trial | |||

5 | Probability | Experimental probability | |

Objective: To use tree diagrams to determine sample spaces and compound probabilities | |||

6 | Probability | Tree diagrams: depending on previous outcomes | |

Objective: To use tree diagrams where the probability is dependent on previous outcomes | |||

7 | Probability | The Complementary Result | |

Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E) | |||

8 | Probability | P[A or B] When A and B are NOT mutually exclusive | |

Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B) | |||

9 | Statistics part 1 | Frequency distribution table | |

Objective: To construct a frequency distribution table for raw data and to interpret the table | |||

10 | Statistics part 1 | Frequency histograms and polygons | |

Objective: To construct and interpret frequency histograms and polygons | |||

11 | Statistics part 1 | Relative Frequency | |

Objective: To extend the frequency distribution table to include a relative frequency column | |||

12 | Statistics part 1 | The Range | |

Objective: To determine the range of data in either raw form or in a frequency distribution table | |||

13 | Statistics part 1 | The Mode | |

Objective: To find the mode from raw data and from a frequency distribution table | |||

14 | Statistics part 1 | The Mean | |

Objective: To calculate means from raw data and from a frequency table using an fx column | |||

15 | Statistics part 1 | The Median | |

Objective: To determine the median of a set of raw scores | |||

16 | Statistics part 1 | Cumulative Frequency | |

Objective: To construct cumulative frequency columns, histograms and polygons | |||

17 | Statistics part 1 | Calculating the Mean from a Frequency Distribution | |

Objective: To determine averages (mean, median and mode) from cumulative frequency polygons | |||

18 | Statistics part 2 | Calculating mean, mode and median from grouped data | |

Objective: To identify class centres, get frequency counts and determine mean, mode and median values | |||

19 | Statistics part 2 | Using the Calculator for Statistics | |

Objective: To find a mean, using a data set or a frequency distribution table and calculator. | |||

20 | Statistics part 2 | Measures of Spread | |

Objective: To determine a range and use it in decision making | |||

21 | Statistics part 2 | Standard deviation applications | |

Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator | |||

22 | Statistics part 2 | Applications of Standard Deviation | |

Objective: To use standard deviation as a measure of deviation from a mean | |||

23 | Statistics part 2 | The Normal Distribution | |

Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges | |||

24 | Statistics part 2 | Measures of Spread: the interquartile range | |

Objective: To find the upper and lower quartiles and the interquartile range | |||

25 | Statistics part 1 | Stem and Leaf Plots along with Box and Whisker Plots | |

Objective: To derive statistics from data represented as stem & leaf or box & whisker plots | |||

26 | Statistics part 1 | The Scatter plot | |

Objective: To make a valid interpretation of data presented as a scatter plot | |||

27 | Probability | The Binomial Theorem and Binomial Coefficients | |

Objective: To calculate binomial coefficients and expand binomial powers. | |||

28 | Probability | Binomial probabilities using the Binomial Theorem | |

Objective: To calculate the binomial probability of a given number of successful trials | |||

29 | Probability | Counting techniques and ordered selections | |

Objective: To use counting techniques in probability | |||

30 | Probability | Unordered selections – combinations | |

Objective: To use the nCr formula to solve problems where unordered selections occur | |||

31 | Exam | Exam – Grade 12 – Mathematics of Data Management | |

Objective: Exam |