Mathematics Topics

Correlation of topics to the chapters in the Mathematics Table of Contents.

Mathematics, Grades K - 8
1
 Numbers
5
 Geometry
2 Number Operations and Problem Solving  6  Spatial Reasoning
3 Patterns and Reasoning 7  Statistics
4  Measurement 8  Probability

TEKS alignment for K-8

 

Algebra 1 / Algebra 2

Additional Algebra 2 Topics
9
 Prerequisites
22
 Matrices and Determinants
10
 Algebraic Manipulations
23
 Exponential and Logarithmic Functions
11
 Solving Linear Equations
24
 Polynomial Functions
12
 Graphing Linear Equations
25
 Rational Functions
13
 Writing Linear Equations
26
 Conics
14
 Linear Inequalities
27
 Sequences and Series
15
 Systems of Equations and Inequalities
28
 Probability and Statictics
16
 Powers and Exponents    
17
 Quadratic Equations    
18
 Polynomials and Factoring    
19
 Proportions and Rational Equations    
20
 Functions and Their Graphs    
21
 Radicals and Radical Functions    

 

Except for three trigonometric topics, most of the precalculus topics are found within the algebraic chapters. Second semester Calculus3 topics have not been completely developed.

Precalculus

Calculus, Calculus3
35
 Prerequisites
47
 Prerequisites (precal, alg)
20
 Functions and Their Graphs
48
 Limits and Their Properties
24, 25
 Polynomial and Rational Functions
49
 Differentiation
21, 23
 Exponential and Logarithmic Functions
50
 Applications of Differentiation
36
 Trigonometric Functions
51
 Integration
37
 Analytic Trigonometry
52
 Logarithmic, Exponential, and Other Transcendental Functions
38
 Additional Topics in Trigonometry
53
 Applications of Integration
15
 Systems of Equations and Inequalities
54
 Integration Techniques, L'Hôpital's Rule, and Improper Integrals
22
 Matrices and Determinants
55
 Infinite Series
27
 Sequences and Series
56
 Conics, Parametric Equations, and Polar Coordinates
28
 Probability and Statistics
57
 Vectors and the Geometry of Space
26
 Topics in Analytic Geometry (Conics)
58
 Vector-Valued Functions
47
 Prerequisites to Calculus
59
 Functions of Several Variables
 
  
60
 Multiple Integration
 
  
61
 Vector Analysis
 
  
62
 Differential Equations
 
  
63
 Continuous Probability

 

Last update 05/12/04

patsymc@physics.utexas.edu