IB MATH SYLLABUS
Essential Questions Topics 4 - 6
Is zero the same as "nothing"?
Is Maths a formal language?
How accurate is a visual representation of a math concept?
Why is there 360 degrees in a complete turn?
Which is a better measure of angle: radian or degree? What are the "best" criteria by which to decide?
Who really invented "Pythagoras Theorem"?
Trigonometry was developed by successive civilizations and cultures. How is math knowledge considered from a sociocultural perspective?
How do we relate a theory to the author? Who developed vector analysis JW Gibbs or O Heaviside?
Are algebra and geometry two separate domains of knowledge?
Discussion of the different formulae for variance?
Do different measures of central tendency express different properties of data? Are these measures invented or discovered? Could Maths make alternative, equally true, formula? What does this tell us about math truths?
How easy is it to lie with statistics?
Can we predict the value of x from y, using this equation (regression)?
Call all data be modeled by a (known) math function?
What value does the knowledge of limits have? Is infinitesimal behavior applicable to real life?
Is zero the same as "nothing"?
Is Maths a formal language?
How accurate is a visual representation of a math concept?
Why is there 360 degrees in a complete turn?
Which is a better measure of angle: radian or degree? What are the "best" criteria by which to decide?
Who really invented "Pythagoras Theorem"?
Trigonometry was developed by successive civilizations and cultures. How is math knowledge considered from a sociocultural perspective?
How do we relate a theory to the author? Who developed vector analysis JW Gibbs or O Heaviside?
Are algebra and geometry two separate domains of knowledge?
Discussion of the different formulae for variance?
Do different measures of central tendency express different properties of data? Are these measures invented or discovered? Could Maths make alternative, equally true, formula? What does this tell us about math truths?
How easy is it to lie with statistics?
Can we predict the value of x from y, using this equation (regression)?
Call all data be modeled by a (known) math function?
What value does the knowledge of limits have? Is infinitesimal behavior applicable to real life?