Grade Level Expectations
1.1.2: Simplify expressions with negative and fractional exponents
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
1.2.2: Perform addition, subtraction, and multiplication on polynomial expressions
Addition and Subtraction of Functions
Dividing Polynomials Using Synthetic Division
Modeling the Factorization of x2+bx+c
1.2.3: Perform addition, subtraction, and multiplication on irrational expressions
Operations with Radical Expressions
Simplifying Radical Expressions
1.2.4: Recognize and use inverse operations to solve equations, powers, and their corresponding roots
Solving Two-Step Equations
Square Roots
2.1.3: Develop the conceptual understanding that logarithmic and exponential functions are inverse functions
2.2.1: Model constraints to solve linear programming problems
2.2.2: Analyze linear, quadratic, exponential, periodic, trigonometric, or inverse relationships in graphs using best fit lines and curves (regression lines and curve fitting)
2.3.2: Write equivalent symbolic forms of linear, quadratic, or exponential functions
Slope-Intercept Form of a Line
2.3.3: Use geometric models and/or algebraic symbols to multiply binomials and complete the square
2.3.4: Use algebraic techniques to identify the vertex and intercepts for quadratic functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Zap It! Game
2.3.5: Apply the quadratic formula and/or factor to solve problems
Modeling the Factorization of x2+bx+c
Roots of a Quadratic
2.3.6: Use expressions or equations to describe arithmetic and geometric sequences (nth term) and series (using sigma notation) to represent the sum
Arithmetic Sequences
Geometric Sequences
3.1.2: Use Sine and Cosine functions to explore periodic real world phenomena
Translating and Scaling Sine and Cosine Functions
3.1.3: Identify and apply the properties of circles as they relate to central angles, inscribed angles, and tangents
Chords and Arcs
Inscribed Angles
3.2.1: Stretch and shrink periodic functions by changing parameters
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
3.3.2: Understand the relationship between degree measures and radian measures of benchmark angles such as 0°, 30°, 45°, 60°, 90°, and multiples of these angles
Cosine Function
Sine Function
Tangent Function
3.3.3: Use trigonometric relationships to determine side lengths and angle measures of any triangle
Sine, Cosine, and Tangent Ratios
4.1.1: Understand the differences among the various kinds of studies (e.g., survey, controlled experiment)
Correlation
Polling: City
Polling: Neighborhood
4.1.2: Determine factors which may affect the outcome of a survey
Polling: City
Polling: Neighborhood
4.2.1: Interpret least squares regression line as the line that minimizes the sum of the squared errors
4.3.1: Compute and use standard deviation to analyze data variability
Polling: City
Real-Time Histogram
Sight vs. Sound Reactions
4.3.2: Apply benchmark percents described by the ?empirical rule? (68%-95%-99.7% rule) in a normal distribution
Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions
4.3.3: Recognize approximate norm distributions
Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions
4.4.1: Understand and use the addition rule to calculate probabilities for mutually exclusive and non-mutually exclusive events
Binomial Probabilities
Theoretical and Experimental Probability
Correlation last revised: 5/9/2018