Academic Content Standards

1.B.2: Determine what properties hold for vector addition and multiplication, and for scalar multiplication.

1.C.8: Use fractional and negative exponents as optional ways of representing and finding solutions for problem situations; e.g., 27^{ [27 and two-thirds] } = (27^{ [27 and one-third] })^{2} = 9.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

1.D.6: Compute sums, differences and products of matrices using paper and pencil calculations for simple cases, and technology for more complicated cases.

1.D.9: Use vector addition and scalar multiplication to solve problems.

1.E.3: Represent complex numbers on the complex plane.

3.A.4: Use trigonometric relationships to determine lengths and angle measures; i.e., Law of Sines and Law of Cosines.

Sine, Cosine, and Tangent Ratios

3.B.3: Describe multiplication of a vector and a scalar graphically and algebraically, and apply to problem situations.

4.A.3: Describe and compare the characteristics of the following families of functions: quadratics with complex roots, polynomials of any degree, logarithms, and rational functions; e.g., general shape, number of roots, domain and range, asymptotic behavior.

General Form of a Rational Function

Graphs of Polynomial Functions

Logarithmic Functions: Translating and Scaling

Polynomials and Linear Factors

Quadratics in Factored Form

Rational Functions

Roots of a Quadratic

4.A.4: Identify the maximum and minimum points of polynomial, rational and trigonometric functions graphically and with technology.

Graphs of Polynomial Functions

Quadratics in Factored Form

4.A.5: Identify families of functions with graphs that have rotation symmetry or reflection symmetry about the * y*-axis, * x*-axis or * y * = * x*.

Absolute Value with Linear Functions

Translating and Scaling Functions

4.A.10: Describe the characteristics of the graphs of conic sections.

Circles

Ellipses

Hyperbolas

Parabolas

4.B.8: Solve equations involving radical expressions and complex roots.

Operations with Radical Expressions

Radical Functions

4.C.1: Identify and describe problem situations involving an iterative process that can be represented as a recursive function; e.g., compound interest.

Arithmetic Sequences

Geometric Sequences

4.D.7: Model and solve problems with matrices and vectors.

5.A.4: Create a scatterplot of bivariate data, identify trends, and find a function to model the data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

5.A.5: Use technology to find the Least Squares Regression Line, the regression coefficient, and the correlation coefficient for bivariate data with a linear trend, and interpret each of these statistics in the context of the problem situation.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

5.A.7: Describe the standard normal curve and its general properties, and answer questions dealing with data assumed to be normal.

Polling: City

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

5.A.8: Analyze and interpret univariate and bivariate data to identify patterns, note trends, draw conclusions, and make predictions.

Box-and-Whisker Plots

Conditional Statements

Correlation

Real-Time Histogram

Solving Using Trend Lines

Trends in Scatter Plots

5.B.5: Use technology to find the Least Squares Regression Line, the regression coefficient, and the correlation coefficient for bivariate data with a linear trend, and interpret each of these statistics in the context of the problem situation.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

5.B.6: Use technology to compute the standard deviation for a set of data, and interpret standard deviation in relation to the context or problem situation.

Polling: City

Real-Time Histogram

5.B.8: Analyze and interpret univariate and bivariate data to identify patterns, note trends, draw conclusions, and make predictions.

Box-and-Whisker Plots

Conditional Statements

Correlation

Real-Time Histogram

Solving Using Trend Lines

Trends in Scatter Plots

5.C.1: Design a statistical experiment, survey or study for a problem; collect data for the problem; and interpret the data with appropriate graphical displays, descriptive statistics, concepts of variability, causation, correlation and standard deviation.

Correlation

Describing Data Using Statistics

Polling: City

Polling: Neighborhood

Real-Time Histogram

5.C.2: Describe the role of randomization in a well-designed study, especially as compared to a convenience sample, and the generalization of results from each.

Polling: City

Polling: Neighborhood

Populations and Samples

5.C.9: Evaluate validity of results of a study based on characteristics of the study design, including sampling method, summary statistics and data analysis techniques.

Box-and-Whisker Plots

Polling: City

Populations and Samples

5.D.1: Design a statistical experiment, survey or study for a problem; collect data for the problem; and interpret the data with appropriate graphical displays, descriptive statistics, concepts of variability, causation, correlation and standard deviation.

Correlation

Describing Data Using Statistics

Polling: City

Polling: Neighborhood

Real-Time Histogram

5.D.2: Describe the role of randomization in a well-designed study, especially as compared to a convenience sample, and the generalization of results from each.

Polling: City

Polling: Neighborhood

Populations and Samples

5.D.9: Evaluate validity of results of a study based on characteristics of the study design, including sampling method, summary statistics and data analysis techniques.

Box-and-Whisker Plots

Polling: City

Populations and Samples

Biconditional Statements

Conditional Statements

Estimating Population Size

Percent of Change

Correlation last revised: 8/29/2016

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