Core Curriculum
I.1.a: Solve and graph first-degree absolute value equations of a single variable.
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
I.1.b: Solve radical equations of a single variable, including those with extraneous roots.
Operations with Radical Expressions
Radical Functions
I.1.c: Solve absolute value and compound inequalities of a single variable.
Absolute Value Equations and Inequalities
Compound Inequalities
Solving Linear Inequalities in One Variable
I.1.e: Simplify algebraic expressions involving negative and rational exponents.
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
I.2.a: Solve systems of linear, absolute value, and quadratic equations algebraically and graphically.
Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
I.2.b: Graph the solutions of systems of linear, absolute value, and quadratic inequalities on the coordinate plane.
Absolute Value Equations and Inequalities
Linear Inequalities in Two Variables
Systems of Linear Inequalities (Slope-intercept form)
I.2.c: Solve application problems involving systems of equations and inequalities.
Linear Programming
Systems of Linear Inequalities (Slope-intercept form)
I.3.b: Simplify expressions involving complex numbers and express them in standard form, a + bi.
I.4.a: Model real-world situations using quadratic equations.
Addition and Subtraction of Functions
I.4.c: Solve quadratic equations of a single variable over the set of complex numbers by factoring, completing the square, and using the quadratic formula.
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
Roots of a Quadratic
I.4.e: Write a quadratic equation when given the solutions of the equation.
II.1.a: Model real-world relationships with functions.
II.1.c: Determine when a relation is a function.
Introduction to Functions
Linear Functions
II.1.d: Determine the domain and range of relations.
II.2.c: Add, subtract, multiply, and divide functions.
Addition and Subtraction of Functions
II.2.d: Determine whether or not a function has an inverse, and find the inverse when it exists.
II.3.a: Define exponential functions as functions of the form y = abx ,b > 0,b ?? 1.
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
II.3.b: Model problems of growth and decay using exponential functions.
II.3.c: Graph exponential functions.
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
II.4.a: Relate logarithmic and exponential functions.
II.4.d: Solve exponential and logarithmic equations.
II.4.e: Graph logarithmic functions.
II.4.f: Solve problems involving growth and decay.
III.1.a: Identify the domain and range of the absolute value, quadratic, radical, sine, and cosine functions.
III.1.b: Graph the absolute value, quadratic, radical, sine, and cosine functions.
Absolute Value with Linear Functions
Addition and Subtraction of Functions
Cosine Function
Exponential Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Roots of a Quadratic
Sine Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Zap It! Game
III.1.c: Graph functions using transformations of parent functions.
Absolute Value with Linear Functions
Exponential Functions
Introduction to Exponential Functions
Quadratics in Vertex Form
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations
Zap It! Game
III.1.d: Write an equation of a parabola in the form y = a(x − h)2 + k when given a graph or an equation..
III.2.a: Convert angle measurements between radians and degrees.
Cosine Function
Sine Function
Tangent Function
III.2.b: Find angle measures in degrees and radians using inverse trigonometric functions, including exact values for special triangles.
III.3.a: Define the sine, cosine, and tangent functions using the unit circle.
Cosine Function
Sine Function
Tangent Function
Translating and Scaling Sine and Cosine Functions
III.3.b: Determine the exact values of the sine, cosine, and tangent functions for the special angles of the unit circle using reference angles.
Cosine Function
Sine Function
Tangent Function
IV.1.a: Distinguish between permutations and combinations and identify situations in which each is appropriate.
IV.1.b: Calculate probabilities using permutations and combinations to count events.
Binomial Probabilities
Permutations and Combinations
IV.1.c: Compute conditional and unconditional probabilities in various ways, including by definitions, the general multiplication rule, and probability trees.
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Permutations and Combinations
Probability Simulations
Theoretical and Experimental Probability
IV.2.a: Compute different measures of spread, including the range, standard deviation, and interquartile range.
Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots
IV.2.b: Compare the effectiveness of different measures of spread, including the range, standard deviation, and interquartile range in specific situations.
Correlation last revised: 5/24/2018