Topics |
Equations and Inequalities
Linear Equations and Functions
Systems of Linear Equations and Inequalities
Matrices and Determinants
Quadratic Functions
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Polynomials and Polynomial Functionsons
Powers, Roots, and Radicals
Exponential and Logarithmic Functions
Rational Equations and Functions
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Quadratic Relations and Conic Sections
Sequences and Series
Trigonometric Ratios and Functions
Trigonometric Graphs
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Content |
Properties and operations with real numbers
Algebraic expressions
Linear equations
Simple and compound linear inequalities
Absolute value equations and inequalities
Graph and evaluate linear functions
Slope-intercept and standard forms
Scatter plots used to identify correlation and approximate the best-fitting line
Graph linear inequalities in two variables
Piecewise functions
Absolute value functions
Graph and solve linear systems of equations and inequalities
Linear programming
Matrix operations and Cramer's Rule
Identity and Inverse matrices
Quadratic equations and inequalities
Complex numbers
Parabolas
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Properies of exponents
Algebraic operations with polynomial, rational, and complex fractions
Remainder and Factor Theorems
Fundamental Theorem of Alebra
Compositions of functions
Inverse of functions
Cubic functions
Rational exponents
The number e
Logatithmic functions
Exponential growth and decay
Properties of Logarithms
Inverse Variation
Joint Variation
Rational Functions
Complex Fractions
Rational Equations
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Distance Formula
Midpoint Formula
Parabolas
Circles
Ellipses
Hyperbolas
Quadratic Systems
Arithmetic Sequences and Series
Geometric Sequences and Series
Infinite Geometric Series
Recursive Rules for Sequences
Angle and Radian Measure
Trigonometric Functions and Graphs
Inverse Trigonometric Functions
Arc Lengths
Areas of Sectors
The Law of Sines
The Law of Cosines
Parametric Equations
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Skills |
Graphing calculator use
Model and solve real-world problems using tables, graphs, matrix operations, algebraic operations, linear inequalities, absolute value, linear systems, quadratic functions, quadratic inequalities, equations of parabolas, direct, inverse, combined, and joint variation
Use best-fit mathematical models of linear functions to solve problems involving sets of data
Write and solve systems of linear equations and inequalities
Interpret the constant and coefficients of a linear equation in the context of the problem
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Graphing calculator use
Model and solve real-world problems using quadratic equations, cubic equations, radical expressions, exponential functions, logarithmic functions, and rational functions.
Use best-fit mathematical models of exponential and quadratic functions to solve problems involving sets of data
Interpret the constants and coefficients of quadratic equations in the context of the problem
Use inverse variation and joint variation models to solve real-life problems
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Graphing calculator use
Model and solve real-world problems using quadratic systmes, arithmetic series, geometric sequences, geometric series, and trigonometric functions
Use the conic sections in real-life situations
Draw conclusions and make predictions using mathematical models
Measure angles using degree measure and radian measure
Calculate arc lengths and areas of sectors
Use a transit
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Portfolio Artifacts |
Who's in First Place(analyze a public opinion survey)
Test Scores(determine adjusted test scores)
Nutrition, Business, and Health (using linear systems and linear programming)
The Snack Food Problem(solving a linear system using matrices)
Quizzes and Tests
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Maximizing Sales Revenue(analyze sales revenue with a quadratic function)
Banking, Economic, and Business Models(making decisions and predictions using polynomial functions)
Exploring Malthus (Population and Food Production)
Using Zipf's Law (Industrialization and Growth of Cities)
Quizzes and Tests
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Designing an Efficient Container
Designing a Logo
Conic Sections in your World(photography essay)
Conic Sections in Chemical Weapons and Warfare
Making and Using a Transit
Quizzes and Tests
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