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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and Reasoning
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotes
2D & 3D GeometryTrig equations & identities
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegration
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AASL
/
Proof and Reasoning
/
Skills
Edit

Skill Checklist

Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

IB Math AASL
/
Proof and Reasoning
/
Skills
Edit

Skill Checklist

Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

Skill Checklist

Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.

2 Skills Available

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

Proof by deduction

2 skills
Deductive Proof
SL AA 1.6

A proof is a strict logical argument that demonstrates with mathematical certainty that a statement is true.


For SL students, these proofs will be in the form

Prove that

​
(LHS expression)≡(RHS expression)
​

where ​≡​ means equivalent, i.e. equal for ALL variables in the expression, not just some specific intersections.


We use LHS (left-hand side) and RHS (right-hand side) as an abbreviation for one side of the equivalence.

Even and Odd Numbers
SL AA 1.6

The parity of an integer describes whether or not it is divisible by ​2. We say that

​
0,2,4,6… are even
​
​
1,3,5,7… are odd
​

In general, even numbers take the form ​n=2k, and odd numbers take the form ​n=2k+1​ for some ​k∈Z.

Skill Checklist

Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.

2 Skills Available

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

Track your progress:

Don't know

Working on it

Confident

📖 = included in formula booklet • 🚫 = not in formula booklet

Proof by deduction

2 skills
Deductive Proof
SL AA 1.6

A proof is a strict logical argument that demonstrates with mathematical certainty that a statement is true.


For SL students, these proofs will be in the form

Prove that

​
(LHS expression)≡(RHS expression)
​

where ​≡​ means equivalent, i.e. equal for ALL variables in the expression, not just some specific intersections.


We use LHS (left-hand side) and RHS (right-hand side) as an abbreviation for one side of the equivalence.

Even and Odd Numbers
SL AA 1.6

The parity of an integer describes whether or not it is divisible by ​2. We say that

​
0,2,4,6… are even
​
​
1,3,5,7… are odd
​

In general, even numbers take the form ​n=2k, and odd numbers take the form ​n=2k+1​ for some ​k∈Z.