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