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Mathematics
IBDP MATHS revision notes and exercises (Both years, SL and HL)
A massive IBDP maths revision resource for both DP 1 and DP 2 and for SL and HL both. This resource contains slides (in pdf) and exercises (over 40 resources) with keys on the topics below:
Numbers
number groupings
rounding
index laws
solving logarithms
harder logs revision
Algebra:
quadratics completing the square
quadratics factorising
quadratics quadratic formula
solving quadratics graphically
simultaneous equations
composite function
inverse functions
inequalities algebraically
inequalities graphing
sequences
Geometry:
circle theorems
more circle theorems
mixed triangles
converting between degrees and radians
trigonometry with radians
easy graph transformations drawing
transform graphs mini exercise
transformations of curves worksheet
transformations of curves worksheet
transformations of graphs
Probability:
Bayes theorem.
tree diagrams algebra problems
tree diagrams conditional
tree diagrams independent
venn diagrams
IBDP Maths on NUMBERS
A comprehensive lesson plan pack on IBDP Maths numbers
Number
Statement of Inquiry
Simplification requires an understanding and logical application of rule within a system
Contexts
Global: Personal and Cultural Expression
Key: Form
Related: Generalisation and Pattern
Questions
Factual: What is a relationship between a log and an exponent?
Conceptual: Is every mathematical relationship between numbers and a function=
Debatable: What happens when a function is not continuous?
ATLs
Communication: Interpret and use effectively modes of non-verbal communication
Self-management: N/A
Research: N/A
Social: N/A
Thinking: Utilise effective strategies in subject groups and disciplines
IBDP MATH GEOMETRY lesson plan
A comprehensive lesson plan for IB DP MATHS on GEOMETRY
Statement of Inquiry
Statements about the spaces and shapes around us can be justified to show they are invariant through space and time.
Contexts
Global: Orientation in Time and Space
Key: Form
Related: Justification
Questions
Factual: What is a circle made of? What are circle theorems? How can we graph them?
Conceptual: How do we prove theorems by justifying them? Can you see circles in real-life contexts?
Debatable: Can a theorem tell us a ‘universal truth’ or is that impossible?
ATLs
Communication: N/A
Self-management: N/A
Research: N/A
Social: N/A
Thinking: Using critical thinking skill to analyse and take responsible action on complex problems; exercising initiative in making reasoned, ethical decisions.
IBDP Maths on functions
A comprehensive lesson plan pack on IBDP Maths functions
Functions
Statement of Inquiry
Relationships can be identified by generalising data into various models and form, which allows us to solve and predict these real-world relationships
Contexts
Global: Identities and Relationships
Key: Form
Related: Generaliastion, System
Questions
Factual: What is a function? How do we use functions to find values? How can functions be reversed or combined? How and why do we develop the form of functions to improve their accuracy?
Conceptual: Why do we use function to generalise? How can we use them as predictions? What is meant by exponential growth or decay?
Debatable: How far should we trust functions or models to tell us about the real world? Can multiple functions be correct for a single situation? What happens when a function is not continuous?
ATLs
Communication: N/A
Self Management: N/A
Research: N/A
Social: N/A
Thinking: Compare conceptual understanding across multiple subject groups and disciplines