Adv.+Pre-Algebra+Syllabus

=**Advanced Pre-Alge**bra Syllabus=

__**Fall Semester**__

I. Fraction Review • Simplifying Fractions • Comparing and Ordering Fractions • Fractions and Decimals • Adding and Subtracting Fractions • Multiplying and Dividing Fractions

II. Algebraic Expressions • Variables and Expressions • The Order of Operations • Evaluation Expressions • Integers and Absolute Value • Adding Integers • Subtracting Integers • Multiplying and Dividing Integers • The Coordinate Plane

III. Solving One-Step Equations • The Properties of Numbers • The Distributive Property • Simplifying Variable Expressions • Variables and Equations • Solving Equations by Adding or Subtracting

IV. Solving Complex Equations • Solving Two-Step Equations • Solving Multi-Step Equations • Multi-Step Equations With Fractions and Decimals • Solving Equations With Variables on Both Sides • Transforming Formulas

V. Inequalities • Solving One-Step Inequalities by Adding or Subtracting • Solving One-Step Inequalities by Multiplying or Dividing • Solving Two-Step Inequalities

VI. Factors and Exponents • Divisibility and Factors • Exponents • Prime Factorization and Greatest Common Factor • Simplifying Fractions With Variables • Rational Numbers • Exponents and Multiplication • Exponents and Division • Scientific Notation


 * __Spring Semester__**

VII. Area • Area of Parallelograms • Area of Triangles and Trapezoids • Area of Circles • Space Figures • Surface Area: Prisms and Cylinders • Surface Area: Pyramids, Cones, and Spheres • Volume: Prisms and Cylinders • Volume: Pyramids, Cones, and Spheres

VIII. Linear Functions and Graphing • Relations and Functions • Equations with Two Variables • Slope-Intercept • Linear Functions • Scatter Plots • Solving Systems of Linear Equations

IX. Ratios, Proportions, and Percents • Ratios and Unit Rates • Proportions • Similar Figures • Scale Drawings • Probability • Fractions, Decimals, and Percents • Proportions and Percents • Percents and Equations • Percent of Change

X. Nonlinear Functions and Polynomials • Patterns and Sequences • Graphing Nonlinear Functions • Exponential Growth and Decay • Polynomials • Adding and Subtracting Polynomials • Multiplying by a Polynomial by a Monomial • Multiplying Binomials

XI. Right Triangles in Algebra • Square Roots and Irrational Numbers • Pythagorean Theorem • Distance and Midpoint Formulas • Special Right Triangles • Sine, Cosine, and Tangent Ratios • Angles of Elevation and Depression