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