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### 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