posted by Ms. Moon | Sep 15, 2021
IB
DP mathematics: Analysis and Approaches covers 5 topics; Topic 1: Number and algebra, Topic 2: Functions, Topic 3: Geometry and trigonometry, Topic 4: Statistics and probability, and Topic 5: Calculus.
This page will cover the SL contents listed under the
Topic 2: Functions.
Essential understandings:
Models
are depictions of real-life events using expressions, equations or
graphs while a function is defined as a relation or expression involving
one or more variables. Creating different representations of functions
to model the relationships between variables, visually and symbolically
as graphs, equations and tables represents different ways to communicate
mathematical ideas.
Content-specific conceptual understandings:
- Different representations of functions, symbolically and visually as
graphs, equations and tables provide different ways to communicate
mathematical relationships.
- The parameters in a function or equation correspond to geometrical
features of a graph and can represent physical quantities in spatial
dimensions.
- Moving between different forms to present functions allows for deeper
understanding and provides different approaches to problem solving.
- Our spatial frame of reference affects the visible part of a function
and by changing this "window" can show more or less of the function to
best suit our needs.
- Equivalent representations of quadratic functions can reveal different characteristics of the same relationship.
- Functions represent mappings that assign to each value of the
independent variable (input) one and only one dependent variable
(output).
*Click the title of each such-topic to access each sub-topic contents page.
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SL 2.0 Prior Learning
SL 2.1 Straight Lines
SL 2.2 Function Concepts
SL 2.3 The Graph Of a Function
SL 2.4 Key Features of graphs
SL 2.5 Composite functions
SL 2.6 Forms of quadratics
SL 2.10 Solving Equations
SL 2.11 Transformations
*Citation: