Quadratic Functions and Modeling Interpret functions that arise in applications in Standards 7-9 terms of a context. Analyze functions using different representations. Standards 10-12 Build a function that models a relationship Standard 13 between two quantities. Build new functions from existing functions. Standards 14-15 Construct and compare linear, quadratic, and Standard 16 exponential models and solve problems. Expressions and Equations Interpret the structure of expressions. Standards 17-18 Write expressions in equivalent forms to solve Standard 19 problems. Create equations that describe numbers or Standards 20-22 relationships. Solve equations and inequalities in one variable. Standard 23 Use complex numbers in polynomial identities Standards 24-26 and equations. Solve systems of equations. Standard 27 Applications of Probability Understand independence and conditional Standards 28-32 probability and use them to interpret data. Use the rules of probability to compute Standards 33-36 probabilities of compound events in a uniform probability model. Use probability to evaluate outcomes of Standards 37-38 decisions. Similarity, Right Triangle Trigonometry, and Proof Understand similarity in terms of similarity Standards 39-41 transformations. Prove geometric theorems. Standards 42-44 Prove theorems involving similarity. Standards 45-46 Use coordinates to prove simple geometric Standard 47 theorems algebraically. Define trigonometric ratios and solve problems Standards 48-50 involving right triangles. Prove and apply trigonometric identities. Standard 51 Circles With and Without Coordinates Understand and apply theorems about circles. Standards 52-55 Find arc lengths and areas of sectors of circles. Standard 56 Translate between the geometric description and Standards 57-58 the equation for a conic section. Use coordinates to prove simple geometric Standard 59 theorems algebraically. Explain volume formulas and use them to solve Standards 60-61 problems.
Quadratic Functions and Modeling Interpret functions that arise in applications in terms of a context. Standards 7-9 Analyze functions using different representations. Standards 10-12 Build a function that models a relationship between two quantities. Standard 13 Build new functions from existing functions. Standards 14-15 Construct and compare linear, quadratic, and exponential models and solve problems. Standard 16 Expressions and Equations Interpret the structure of expressions. Standards 17-18 Write expressions in equivalent forms to solve problems. Standard 19 Create equations that describe numbers or relationships. Standards 20-22 Solve equations and inequalities in one variable. Standard 23 Use complex numbers in polynomial identities and equations. Standards 24-26 Solve systems of equations. Standard 27 Applications of Probability Understand independence and conditional probability and use them to interpret data. Standards 28-32 Use the rules of probability to compute probabilities of compound events in a uniform probability model. Standards 33-36 Use probability to evaluate outcomes of decisions. Standards 37-38 Similarity, Right Triangle Trigonometry, and Proof Understand similarity in terms of similarity transformations. Standards 39-41 Prove geometric theorems. Standards 42-44 Prove theorems involving similarity. Standards 45-46 Use coordinates to prove simple geometric theorems algebraically. Standard 47 Define trigonometric ratios and solve problems involving right triangles. Standards 48-50 Prove and apply trigonometric identities. Standard 51 Circles With and Without Coordinates Understand and apply theorems about circles. Standards 52-55 Find arc lengths and areas of sectors of circles. Standard 56 Translate between the geometric description and the equation for a conic section. Standards 57-58 Use coordinates to prove simple geometric theorems algebraically. Standard 59 Explain volume formulas and use them to solve problems. Standards 60-61