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

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