Math: Advanced College Prep Timeline and Essential Questions UNIT TOPIC Essential Questions The Language of Algebra What are the mathematical properties that govern Exponents rational numbers and how are they used? Order of Operations How are operations using rational numbers related? Integers 1 How can rational numbers be applied to real world Signed Numbers examples? Operations with Signed Why is order important for solving expressions? Numbers What are the characteristics of each number system? Evaluate Algebraic Expressions Equations and Inequalities Simplifying Expressions and Combining Like Terms Addition and Subtraction Properties of Equality How can we use the fundamental properties of algebra 2 Multiplication and Division to solve problems? Properties of Equality How do we use functions to solve real-world problems? Solving Multi-Step Equations Solving Multi-Step Inequalities Applications and Problem Solving Graphing Linear Equations Direct Variation Slope-Intercept Form What does the slope of a line indicate about the line? Point-Slope Form What information does the slope of a line give you? 3 Standard Form How can you make predictions based on a scatter plot? Parallel and Perpendicular Lines Scatter Plots and Trend Lines Graphing Absolute Value Functions Polynomials Introduction to Polynomials Add and Subtract Polynomials 4 Where do we use polynomials is real life? Multiply Polynomials Special Products Dividing Polynomials Factoring How are different algebraic equations equivalent? 5 Factoring Out the GCF How are the properties of real numbers related to polynomials? Factor Quadratics Factor by Grouping Difference of Squares Solve Equations by Factoring Algebraic Fractions Reducing Algebraic Fractions Add and Subtract Algebraic How are different algebraic equations equivalent? Fractions 6 How are the properties of real numbers related to Multiply and Divide Algebraic polynomials? Fractions Solve Equations Involving Algebraic Fractions Systems of Linear Equations Solve by Graphing Where do you use systems of linear equations in real 7 Solve by Adding life? Solve by Substitution Applications Exponents and Radicals Rational Exponents How are rational expressions represented? 8 Simplify Radical Expressions What are the characteristics of rational functions? Add and Subtract Radicals How can you solve a rational equation? Multiply Radicals Radical Expressions and Equations Pythagorean Theorem Simplifying Radicals Operations with Radical How can you estimate irrational square roots? Expressions How can you calculate missing sides of right triangles? 9 Solving Radical Equations How can you use trigonometric ratios to solve real Graphing Radical Equations world problems? Graphing Square Root Equations Trigonometric Ratios .