| 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 |
