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Questions and Answers
Tlaan gyaagang algebra gee, gii yahkw'iitl'l sk'ínang dii k'udang? (Select all that apply)
Tlaan gyaagang algebra gee, gii yahkw'iitl'l sk'ínang dii k'udang? (Select all that apply)
- Points, lines, surfaces, solids gin tl'aahláangaa dii k'udang.
- Symbols-gi gii k'udang, díi symbols gin t'alángaa ihlangan hl k'alang dii k'udang. (correct)
- Integers gin tl'aahláangaa dii k'udang.
- Continuous change, rates of change, dangi accumulation gin k'udang.
Calculus dii sk'ínang tl'aahláangaa ihlgang?
Calculus dii sk'ínang tl'aahláangaa ihlgang?
- Integers gin properties tl'aahláangaa.
- Points, lines, dangi surfaces gin relationship tl'aahláangaa.
- Sets gin tl'aahláangaa.
- Continuous change, rates of change, dangi accumulation. (correct)
Geometry dii sk'ínang tl'aahláangaa ihlgang?
Geometry dii sk'ínang tl'aahláangaa ihlgang?
- Points, lines, surfaces gin properties dangi relations. (correct)
- Continuous change gin.
- Relationships involving lengths dangi angles of triangles.
- Symbols dangi rules gin ihlgang.
Number Theory dii sk'ínang tl'aahláangaa ihlgang?
Number Theory dii sk'ínang tl'aahláangaa ihlgang?
Gíi t'is gyaagang mathematical problem-gi problem solving gúusdaang?
Gíi t'is gyaagang mathematical problem-gi problem solving gúusdaang?
Gíi t'is gyaagang mathematical proof technique?
Gíi t'is gyaagang mathematical proof technique?
Gíi t'is t'alang mathematical communication?
Gíi t'is t'alang mathematical communication?
Flashcards
Algebra
Algebra
G̱udang t'alang hl kʼístaan hl kʼígaa g̱a t'alang hl kʼatsʼasdaagang
Calculus
Calculus
G̱udang hl áalaa hl kʼáalaagang, hl kʼatsʼasdaagang
Geometry
Geometry
G̱udang hl kʼígaa hl kʼatsʼasdaagang
Number Theory
Number Theory
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Set Theory
Set Theory
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Topology
Topology
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Number Systems
Number Systems
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Operations
Operations
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Study Notes
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Possible Interpretations and General Math Notes
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General Areas of Mathematics
- Algebra: Deals with symbols and the rules for manipulating those symbols; A unifying thread of almost all of mathematics
- Calculus: The study of continuous change, rates of change, and accumulation; includes differential calculus (derivatives) and integral calculus (integrals)
- Geometry: Concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs
- Trigonometry: Studies relationships involving lengths and angles of triangles
- Number Theory: Dedicated to the study of the integers and their properties
- Set Theory: The branch of mathematics that studies sets, which are collections of objects
- Topology: Studies properties of spaces that are preserved under continuous deformations
Basic Mathematical Concepts
- Number Systems: Natural numbers, integers, rational numbers, irrational numbers, real numbers, complex numbers
- Operations: Addition, subtraction, multiplication, division, exponentiation, roots
- Functions: Relations between sets of inputs and permissible outputs with the property that each input is related to exactly one output
- Equations: Statements that assert the equality of two expressions
Important Mathematical Skills
- Problem Solving: The ability to analyze problems, develop strategies, and find solutions
- Logical Reasoning: The ability to think critically and construct valid arguments
- Proof Techniques: Direct proof, indirect proof (proof by contradiction, proof by contrapositive), mathematical induction
- Mathematical Communication: The precise and clear expression of mathematical ideas, both verbally and in writing
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