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Sets and Venn Diagrams - Coggle Diagram
Sets and Venn Diagrams
Sets
JC Learning Outcomes
NS 5. Explore the Concept of a set so that they can:
a.) understand the concept of a set as a well-defined collection of elements, and that set equality is a relationship where two sets have the same elements.
b.) define sets by listing their elements, if finite (including in a 2-set or 3-set Venn diagram), or by generating rules that define them
c.) use and understand suitable set notation and terminology, including null set, Ø, subset, complement, element, universal set, cardinal number, #, intersection, ∩, union, set difference, \, N, Z, Q, R and R\Q
d.) perform the operations of intersection and union on 2 sets and on 3 sets, set difference and complement, including the use of brackets to define the order of operations
e.) investigate whether the set operations of intersection, union, and difference are commutative and/or associative
Describing a Set
Set Terminology
Elements of a Set
Venn Diagrams: Union and Intersection of Sets
Universal Set, Null Set, and Complement of a Set
Set Difference and Solving Problems involving Sets
Introduction to Statistics
Collecting Data
Data Sampling
Data Handling
JC Learning Outcomes
SP 3. Carry out a Statistics Investigation which includes the ability to:
a.) Generate a statistical question
b.) Plan and implement a method to generate and/or source unbiased, representative data, and present this data in a frequency table
c.) Classify data (categorical, numerical)
d.) Select, draw and interpret appropriate graphical displays of univariate data, including pie charts, bar charts, line plots, histograms (equal intervals), ordered stem and leaf plots, and ordered back-to-back stem and leaf plots.
e.) Select, calculate and interpret appropriate summary statistics to describe aspects of univariate data. Central tendency: mean (including of a grouped frequency distribution), median, mode. Variability: range
f.) Evaluate the effectiveness of different graphical displays in representing data
g.) Discuss misconceptions and misuses of statistics
h.) Discuss the assumptions and limitations of conclusions drawn from sample data or graphical/numerical summaries of data
Relation to Number Strand
Percentages
Describe Probability of an Event occuring
Ratios and Odds
Representation of Population
Fractions
Convert to Percentages
Decimals
Convert to Percentages
Presenting Data
Bar Charts
Stem Plots
Leaf Plots
Scatter Plots
Lead into Co-ordinate Geometry
Communication/Presentations and Displays