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
Solving One-Step Equations and Inequalities
Factors, Fractions, and Exponents
5. Operations with Fractions
Exponents
Radicals
Ratios, Proportions ,and Percents
Solving Equations and Inequalities
Linear Functions and Graphing
Special Functions
Coordinate Geometry
Data Analysis and Probability
Non Linear Functions and Polynomials
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
- +, - , *, /
- 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
- Angle Relationships and Parallel Lines
- Classifying Polygons
- Congruence
- Circles
- Translations
- Symmetry and Reflections
- Rotations