4 Mathematically speaking
Statement of inquiry:
Key concept:
Understanding health and validating lifestyle choices results from using logical representations and systems.
Logic is a method of reasoning and a system of principles used to build arguments and reach conclusions.
F How can representing language with symbols facilitate the operations? Representation is the manner in which something is presented. C
Is a picture worth a thousand words? ABCD is a quadrilateral. AB is parallel to CD and perpendicular to BC. Angle ADC = 70°. Find angle DAB. ●
How does drawing a diagram help you solve this problem?
●
Could you solve it without a diagram?
B
D 70°
A
C How do axioms enhance the understanding of logic? Axiomatic system for number You have been working with the real number system since you first learned to count. The number system is based on a set of axioms, which are assumed to be true for real numbers. Verify the axioms below for real numbers x, y and z. Addition and multiplication are: Commutative: x + y = y + x xy = yx Associative:
(x + y) + z = x + (y + z) (xy)z = x(yz)
Distributive: x(y + z) = xy + xz These axioms form the basis for all of your number skills.
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