Math

 

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I. ALGEBRA
20%

A. Solving Equations and Inequalities

1. Subtraction and division in R

2. Sums and differences of polynomials

3. Equivalent equations

4. Inequalities

B. Linear Equations in Two or More Variables

1. Graphs of linear equations in two variables

2. The slope of a nonvertical line

3. Equations of a Line

4. Systems of equations in two and three variables

C. Polynomials and Rational Expressions

1. Factoring polynomials with integer coefficients

2. Rational expressions

D. Irrational Numbers and Quadratic Equations

1. Simplifying square roots

2. Solving quadratic equations

 
II. GEOMETRY
20%

A. Lines, Planes, Line Segments, Rays, and Angles

1. Lines

2. Distance and betweenness

3. Angles

B. Triangles

1. Special triangles

2. Tests for congruence

3. Equalities and inequalities for triangles

4. Similar triangles

C. Convex Quadrilaterals

1. When a convex quadrilateral is a parallelogram

2. Special types of parallelograms and their properties 

D. Circles

1. Circle nomenclature

2. Arc measure

3. Basic properties of tangents

4. Basic properties of secants

5. Basic properties of inscribed angles

6. Basic properties of chords

 
III. STATISTICS
60%

A. Introduction to Statistics

1. Uses of statistics

2. The nature of data

3. Statistical experiments and sampling

B. Descriptive Statistics

1. Numerical methods

2. Measures of central tendency

3. Measures of dispersion

4. Quantiles

5. Graphical methods

C. Probability

1. Fundamentals

2. Addition rule

3. Multiplication rule

4. Counting

D. Probability Distributions

1. Random variables

2. Discrete probability distributions

3. Mean, variance, and expectation

4. Binomial experiment

E. Continuous Probability Distributions

1. Normal probability function

2. The central limit theorem

F. Estimates and Sample Sizes

1. Point estimate and interval estimate of mean

2. Point estimate and interval estimate of proportion

3. Sample size in estimation of mean

4. Sample size in estimation of proportion

G. Testing Hypotheses

1. Statistical hypotheses

2. General testing procedure

H. Correlation and Regression

1. Correlation

2. Simple linear regression

 

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