Concept: Concept: Concept: Concept: Graphing Linear Equations Writing Linear Equations Graphing Absolute Value Equations Graphing Linear and Absolute Value Inequalities Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: How do we represent linear equations graphically? How do we find x and y intercepts? How do we write the equation of a line given points and/or slope? How do we write an equation of a line given a set of data points? How do we graph an absolute value equation? How do we graph linear and absolute value inequalities? Vocabulary: Vocabulary: Vocabulary: Vocabulary: Dependent Variable Independent Variable x-intercept y-intercept Slope Zero Slope Undefined Slope Standard Form Point-Slope Form Slope-Intercept Form Scatter Plot Line of Best Fit Correlation Vertex Parent Function Translation Reflection Boundary Line Test Point Solution Region Unit 3: Systems of Linear Equation CP Alg II Systems of equations can be used to solve problems with more than one variable. How do we solve a system of linear equations? How do we write a system of linear equations to solve real world problems? How do we solve a system of linear inequalities? Prentice Hall Algebra II Sections: 3.1, 3.2, 3.3, 3.6 Approximately 10 days
Concept: Concept: Concept: Concept: Solving Linear Systems of Equation by Graphing, Substitution, and Elimination Applications of Linear Systems of Equations Graphing Systems of Linear Inequalities Systems of Equations with Three Variables Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: How do we solve linear systems of equations using graphing, substitution, and elimination? How do we apply linear system of equations to solve real world problems? How do we represent solutions of systems of linear inequalities with a graph? How do we solve systems of equations that contain three variables? Vocabulary: Vocabulary: Vocabulary: Vocabulary: Linear System Independent System Dependent System Inconsistent System Solution Region Boundary Line Ordered Triple Coordinate Space Z-axis Unit 4: Quadratic Expressions and Equations CP Alg II A quadratic equation can be solved by factoring, by using the quadratic formula, and by using square roots. How do we solve quadratic equations? Prentice Hall Algebra II Sections: 5.4, 5.5, 5.6, 5.8 Approximately days
Concept: Concept: Concept: Concept: Factoring Quadratic Expressions Solving Quadratic Equations Complex Numbers Quadratic Formula Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: How do we factor quadratic expression using GCF? How do we factor a difference of two squares? How do we factor trinomials? How can factoring methods be combined to completely factor quadratic expressions? How do we solve quadratic equation by factoring or by using square roots without a calculator? What does the solution to a quadratic equation represent? What is an imaginary number? What is a complex number? How do we perform mathematical operations on complex numbers? How do we solve equations that have complex solutions? How do we solve equations using the Quadratic Formula without a calculator? How do we approximate solutions with the Quadratic Formula using a calculator? How do we solve equations that have complex solutions using the Quadratic Formula? Vocabulary: Vocabulary: Vocabulary: Vocabulary: Factors GCF Perfect Squares Difference of Two Squares Prime Polynomials Coefficient Standard Form or a Quadratic Linear Coefficient Zeros Roots Solutions Imaginary Number Complex Number Imaginary Solutions Quadratic Coefficient Linear Coefficient Constant Coefficient Discriminant Unit 5: Graphing Quadratic Equations CP Alg II The graph of a quadratic equation is a parabola with a vertex, an axis of symmetry, and a y-intercept. X-intercepts of a quadratic graph are solutions of the equation. How do we investigate and graph quadratic equations? Prentice Hall Algebra II Sections: 5.1, 5.2, 5.3 Approximately 15-18 days
Expressions with rational exponents can be written as radical expressions. Equations with radicals can be graphed as functions. How do we solve and graph radical equations? How do we simplify and evaluate radical expressions? Prentice Hall Algebra II Sections: 7.1, 7.2, 7.3, 7.4, 7.5, 7.8 Approximately 22-25 days Concept: Concept: Concept: Concept: Exponent Rules Roots and Radical Expressions Multiplying and Dividing Radical Expressions Rational Exponents Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Questions: What are the rules for simplifying expressions containing rational exponents, including negative exponents? What is the nth root of a number? How do we simplify radical expressions? How do we multiply monomials and binomial containing radicals? How do we rationalize the denominator of a rational expression? What is the meaning of a rational exponent? How do we simplify expressions containing rational exponents? How do we rational exponents as radicals? How do we write radicals using rational exponents? Vocabulary: Vocabulary: Vocabulary: Vocabulary: Exponent Zero Exponent Radical Radicand Index Root Principle Root Rationalize Conjugate Radical Form Rational Exponent Form Concept: Concept: Concept: Concept: Solving Radical Equations Graphing Square Root and Cube Root Functions