# Algebra

## Number Strand

1. Number Theory
1. Properties of Real Numbers
1. Binary Operations
2. Closure Property
2. Operations
1. Radicals
2.  Scientific Notation
3. Fractions, Percents, Ratios, Proportions
4. Direct Variation
5. Exponents (Powers)
6. Factorials
7. Absolute value
3. Pre-Algebra Review
1. Rational and Irrational Numbers
2. Order of Operations
3. Signed Numbers

## Algebra Strand

1.  Variables and Expressions
1. Algebraic Representations
2. Addition and Subtraction of Polynomials
3. Multiplication of Polynomials
4. Division of Polynomials
5. Algebraic Fractions and Equations
6. Factoring
2. Equations and Inequalities
1. Algebraic Translations
2. Linear Equations
3. Systems of Linear Equations
4. Literal Equations
5. Quadratic Equations
6. Linear-Quadratic Systems
7. Exponential Growth and Decay
8. Linear Inequalities (single variable)
9. Graphing Linear Inequalities
10. Systems of Inequalities
3. Patterns, Functions, and Relations
1. Set-builder and Interval Notation
2. Working with Sets and Venn Diagrams
3. Definition of Function
4. Trigonometric Functions
1. Pythagorean Theorem
2. Trigonometric Ratios

## Geometry Strand

1. Coordinate Geometry
1. Slopes and Equations of Lines
2. Parallels and Perpendiculars
3. Parabolas
4. Graphing Functions and Examining Coefficients
2. Shapes
1. Area and Perimeter of Polygons & Circles
2. Volume and Surface Area of Rectangular Solids and Cylinders

## Measurement Strand

1. Measurement
1. Metric/English Conversions and Rates
2. Error in Measurement

## Probability and Statistics Strand

1. Working with Data
1. Categorizing Data and Bias
2. Central Tendency: Mean-Mode-Median
3. Displaying Data
4. Scatter Plots, Correlation, Line of Best Fit, Prediction
5. Percentiles and More Quartiles
2. Probability
1. Counting Principle
2. Permutations
3. Sample Spaces and Tree Diagrams
4. Theoretical versus Empirical Probability
5. Mutually Exclusive & Independent Events, Complement
6. Conditional Probability
7. Problems Involving AND & OR