Academic Content Standards
Unit Conversions 2 - Scientific Notation and Significant Digits
Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values
Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots
1.I.3: Use factorial notation and computations to represent and solve problem situations involving arrangements.
Binomial Probabilities
Permutations and Combinations
2.D.5: Determine the measures of central and inscribed angles and their associated major and minor arcs.
Chords and Arcs
Inscribed Angles
3.A.1: Formally define and explain key aspects of geometric figures, including:
3.A.1.a: interior and exterior angles of polygons;
3.A.1.b: segments related to triangles (median, altitude, midsegment);
Concurrent Lines, Medians, and Altitudes
Similarity in Right Triangles
3.A.1.c: points of concurrency related to triangles (centroid, incenter, orthocenter, and circumcenter);
Concurrent Lines, Medians, and Altitudes
3.A.1.d: circles (radius, diameter, chord, circumference, major arc, minor arc, sector, segment, inscribed angle).
Chords and Arcs
Circles
Inscribed Angles
3.A.2: Recognize and explain the necessity for certain terms to remain undefined, such as point, line and plane.
Parallel, Intersecting, and Skew Lines
3.A.6: Identify the reflection and rotation symmetries of two- and three-dimensional figures.
3.A.10: Solve problems involving chords, radii, and arcs within the same circle.
Chords and Arcs
Circles
Inscribed Angles
Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Triangle Angle Sum
3.H.3: Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof, including:
3.H.3.a: prove the Pythagorean Theorem;
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
3.H.10: Solve problems involving chords, radii, and arcs within the same circle.
Sine, Cosine, and Tangent Ratios
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
4.B.2: Describe and compare characteristics of the following families of functions: square root, cubic, absolute value and basic trigonometric functions; e.g., general shape, possible number of roots, domain and range.
Absolute Value with Linear Functions
Graphs of Polynomial Functions
Radical Functions
Translating and Scaling Functions
Cosine Function
Exponential Functions
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Radical Functions
Sine Function
Tangent Function
4.D.3: Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height.
Area of Triangles
Solving Formulas for any Variable
4.D.5: Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions.
Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Direct and Inverse Variation
Exponential Functions
Introduction to Exponential Functions
Linear Functions
Points, Lines, and Equations
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Simple and Compound Interest
Slope-Intercept Form of a Line
4.F.10: Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.
Absolute Value with Linear Functions
Introduction to Exponential Functions
Quadratics in Polynomial Form
Slope-Intercept Form of a Line
4.G.8: Graph the quadratic relationship that defines circles.
4.G.10: Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.
Absolute Value with Linear Functions
Introduction to Exponential Functions
Quadratics in Polynomial Form
Slope-Intercept Form of a Line
4.H.7: Solve systems of linear inequalities.
Linear Programming
Systems of Linear Inequalities (Slope-intercept form)
4.H.11: Solve real-world problems that can be modeled, using systems of linear equations and inequalities.
Cat and Mouse (Modeling with Linear Systems)
Linear Programming
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)
Determining a Spring Constant
Direct and Inverse Variation
4.J.9: Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals.
Cat and Mouse (Modeling with Linear Systems)
4.J.12: Describe the relationship between slope of a line through the origin and the tangent function of the angle created by the line and the positive x-axis.
5.A.2: Represent and analyze bivariate data using appropriate graphical displays (scatterplots, parallel box-and-whisker plots, histograms with more than one set of data, tables, charts, spreadsheets) with and without technology.
Correlation
Histograms
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.A.4: Identify outliers on a data display; e.g., use the interquartile range to identify outliers on a box-and-whisker plot.
Describing Data Using Statistics
Least-Squares Best Fit Lines
Mean, Median, and Mode
5.A.6: Interpret the relationship between two variables using multiple graphical displays and statistical measures; e.g., scatterplots, parallel box-and-whisker plots, and measures of center and spread.
Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Mean, Median, and Mode
Real-Time Histogram
Trends in Scatter Plots
5.C.1: Describe measures of center and the range verbally, graphically and algebraically.
Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Stem-and-Leaf Plots
5.D.6: Interpret the relationship between two variables using multiple graphical displays and statistical measures; e.g., scatterplots, parallel box-and-whisker plots, and measures of center and spread.
Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Least-Squares Best Fit Lines
Mean, Median, and Mode
Populations and Samples
Real-Time Histogram
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots
5.G.5: Provide examples and explain how a statistic may or may not be an attribute of the entire population; e.g., intentional or unintentional bias may be present.
Polling: Neighborhood
Populations and Samples
Binomial Probabilities
Permutations and Combinations
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Biconditional Statements
Conditional Statements
Correlation last revised: 8/29/2016