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 *x*^{2}+*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 *x*^{2}+*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: 4/4/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.