# Pre-Algebra

## Syllabus

### Integers

• Naming decimal places
• Reading and writing integers
• Adding and subtracting integers
• Multiplying and dividing integers

### Decimals

• Naming decimal places
• Reading and writing decimal numbers
• Rounding decimal numbers
• Adding and subtracting decimal numbers
• Multiplying and dividing decimal numbers

### Fractions and Mixed Numbers

• Factoring
• Greatest common factor (GCF)
• Least common multiple (LCM)
• Simplifying fractions
• Changing between fractions and decimals
• Adding and subtracting fractions / mixed numbers with like / unlike denominators
• Multiplying and dividing fractions / mixed numbers

### Algebraic Expressions

• Variables and expressions
• The order of operations
• Evaluating expressions
• The distributive property
• Simplifying variable expressions

### Equations

• Solving one-step equations by adding or subtracting integers / decimals / fractions
• Solving one-step equations by multiplying or dividing integers / decimals / fractions
• One-step equation word problems
• Solving two-step equations containing integers / decimals / fractions
• Two-step equation word problems
• Solving multi-step equations containing integers / decimals / fractions with variables on one or both sides

### Inequalities

• Inequalities and their graphs
• Solving one-step inequalities by adding or subtracting integers / decimals / fractions
• Solving one-step inequalities by multiplying or dividing integers / decimals / fractions
• Solving two-step inequalities containing integers / decimals / fractions
• Solving multi-step inequalities containing integers / decimals / fractions with variables on one or both sides

### Factors, Fractions, and Exponents

• Divisibility, factors and factoring
• Exponents and multiplication (the product property of exponents)
• Exponents and division (the quotient property of exponents)
• Powers of products and quotients
• Reading and writing scientific notation
• Multiplying numbers in scientific notation

### Ratios, Proportions, and Percent’s

• Checking if fractions form a proportion
• Solving proportions
• Proportion word problems
• Similar figures
• Similar figure word problems
• Converting between fractions, decimals and percents
• Percent word problems
• Percent of change
• Markup, tax and discount
• Simple and compound interest

### Linear Equations, Inequalities, and Systems

• Plotting points
• The midpoint formula
• Finding slope
• Slope-intercept form
• Standard form of a linear equation
• Writing linear equations
• Graphing linear inequalities
• Graphing systems of equations
• Solving systems of equations by substitution
• Systems of equations word problems

### Geometry

• Drawing and measuring angles
• Angle relationships and parallel lines
• Triangles (classifying, using angle sum)
• Quadrilaterals (classifying, using angle sum)
• Transformations: Rotations
• Transformations: Translations
• Transformations: Reflections
• Circles (circumference, area, radius, diameter and measuring)
• Area of parallelograms
• Area of triangles and trapezoids
• Solid Figures
• Classifying solids
• Volume of prisms and cones
• Volume of pyramids, cones and spheres
• Surface area of prisms and cones
• Surface area of pyramids, cones and spheres
• Right triangles
• Square roots
• The Pythagorean Theorem
• The distance formula

### Sequences and Functions

• Arithmetic Sequences
• Geometric Sequences
• Fibonacci Sequence
• Functions
• Linear Functions
• Exponential Functions
• Quadratic Functions
• Direct and Inverse Variation

### Probability

• Probability
• Experimental Probability
• Theoretical Probability
• The Fundamental Counting Principle
• Permutations and Combinations
• Independent and Dependent Events
• Odds

### Polynomials

• Adding and subtracting polynomials
• Multiplying a polynomial and a monomial
• Multiplying binomials

### Set Theory

• Sets
• Intersection and Union
• Venn Diagrams