**Advanced Pre-Algebra Topics**

*All topics listed below are presented to the students in a way that is consistent with the vision of the NCTM (National Council of Teachers of Mathematics)*

**Algebraic Expressions and Integers**

**Variables and Expressions****The Order of Operations****Writing and Evaluating Expressions****Integers and Absolute Values****Adding Integers****Subtracting Integers****Multiplying and Dividing Integers****The Coordinate Plane**

**Solving One-Step Equations and Inequalities**

**Properties of Numbers****Simplifying Variable Expressions****Variables and Equations****Solving Equations by +, - , *, /****Inequalities and Their Graphs****Solving One-Step Inequalities by****+, - , *, /**

**Decimals and Equations**

**Rounding and Estimating****Estimating Decimal Products and Quotients****Mean, Median, and Mode****Using Formulas****Solving Equations by****+, - , *, /****Using the Metric System**

**Factors, Fractions, and Exponents**

**Divisibility and Factors****Exponents****Prime Factorization and Greatest Common Factors****Simplifying Fractions****Rational Numbers****Properties of Exponents****Scientific Notation**

**5. Operations with Fractions**

**Comparing and Ordering Rational Numbers****Fractions and Decimals****Adding and Subtracting Fractions****Multiplying and Dividing Fractions****Using Customary Units of Measurement****Solving Equations Involving Fractions**

**Exponents**

**product Rule, quotient Rule, Power of a Power rule****simplfying expressions involving exponents**

**Radicals**

**Product rule and Quotient Rule.****Using properties of radicals to simplify radical expressions.**

**Ratios, Proportions ,and Percents**

**Ratios, and Units of Rate****Proportions****Similar Figures and Scale Drawings**

**Fractions, Decimals, and Percents****Proportions and Percents****Percents and Equations****Percent of Change****Markup and Discount**

**Solving Equations and Inequalities**

**Solving Two-Step Equations****Solving Multi-Step Equations****Multi-Step Equations with Fractions and Decimals****Writing Equations****Solving Equations with Variables on Both Sides****Solving Two-Step Inequalities****Transforming Formulas****Simple and Compound Interest**

**Linear Functions and Graphing**

**Relations and Functions****Equations with Two Variables****Slope and y-Intercept****Writing Rules for Linear Functions****Scatter Plots****Solving Systems of Linear Equations****Graphing Linear Inequalities**

**Special Functions**

**Recognize and graph step functions, piecewise functions, and absolute value functions**

*Coordinate Geometry***The Pythagorean Theorem****Distance and Midpoint Formulas**

*Data Analysis and Probability***Frequency Tables, Line Plots, and Histograms****Box-and-Whisker Plots****Counting Outcomes and Probability****Independent and Dependent Events****Permutations and Combinations****Experimental Probability**

**Non Linear Functions and Polynomials****Patterns and Sequences****Graphing Nonlinear Functions****Exponential Decay and Growth****Polynomials****Adding, Subtracting, Multiplying, and Dividing Polynomials**

**Intro to Geometry: Points, Lines, and Planes**

**Angle Relationships and Parallel Lines****Classifying Polygons****Congruence****Circles****Translations****Symmetry and Reflections****Rotations**