M.N&O.HS.2: Demonstrates understanding of the relative magnitude of real numbers by solving problems that involve ordering or comparing elements of any subset of the real numbers.

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

M.N&O.10.2: Demonstrates understanding of the relative magnitude of real numbers by solving problems involving ordering or comparing rational numbers, common irrational numbers (e.g., square root of 2 , pi), rational bases with integer exponents, square roots, absolute values, integers, or numbers represented in scientific notation using number lines or equality and inequality symbols.

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values
 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

M.N&O.HS4.b: Interprets and computes in scientific notation with and without a calculator.

 Unit Conversions

M.N&O.10.4: Accurately solves problems involving rational numbers within mathematics, across content strands, disciplines or contexts (with emphasis on, but not limited to, proportions, percents, ratios, and rates).

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percent of Change

M.N&O.HS.8: Applies properties of numbers and field properties (including determining whether a given subset of numbers is closed under a given arithmetic operation) to solve problems or to simplify computations; and compares and contrasts the properties of numbers and number systems; adds and multiplies numerical matrices with attention to the arithmetic properties of these operations.

 Solving Algebraic Equations II

M.G&M.10.2: Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios (sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem).

 Circles
 Sine, Cosine, and Tangent Ratios

M.G&M.HS.4: Applies the concepts of congruency by using matrices to represent reflections, translations, and rotations.

 Translations

M.G&M.10.4: Applies the concepts of congruency by solving problems on or off a coordinate plane involving reflections, translations, or rotations; or solves problems using congruency involving problems within mathematics or across disciplines or contexts.

 Holiday Snowflake Designer

M.G&M.HS.5: Applies concepts of similarity to define the trigonometric functions as ratios of sides of right triangles; uses the ratios of the sides of special right triangles (30¡ - 60¡ - 90¡ and 45¡ - 45¡ - 90¡) to determine the sine, cosine and tangent of 30¡ , 45¡ , and 60¡ ; and solves related problems.

 Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

M.G&M.10.5: Applies concepts of similarity by solving problems within mathematics or across disciplines or contexts.

 Circles

M.G&M.10.6: Solves problems involving perimeter, circumference, or area of two-dimensional figures (including composite figures) or surface area or volume of three-dimensional figures (including composite figures) within mathematics or across disciplines or contexts.

 Area of Triangles
 Surface and Lateral Areas of Prisms and Cylinders

M.G&M.10.7: Uses units of measure appropriately and consistently when solving problems across content strands; makes conversions within or across systems and makes decisions concerning an appropriate degree of accuracy in problem situations involving measurement in other GSEs.

 Unit Conversions

M.G&M.10.9: Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope.

 Constructing Congruent Segments and Angles
 Parallel, Intersecting, and Skew Lines
 Slope
 Slope-Intercept Form of a Line

M.G&M.HS.10: Demonstrates conceptual understanding of spatial reasoning and visualization by sketching or using dynamic geometric software to generate three-dimensional objects from two-dimensional perspectives, or to generate two-dimensional perspectives from three-dimensional objects, and by solving related problems; perform and justify constructions with a compass and straightedge or dynamic geometric software.

 Constructing Congruent Segments and Angles
 Constructing Parallel and Perpendicular Lines
 Segment and Angle Bisectors
 Surface and Lateral Areas of Prisms and Cylinders

M.F&A.10.1: Identifies, extends, and generalizes a variety of patterns (linear and nonlinear) represented by models, tables, sequences, or graphs in problem solving situations.

 Finding Patterns

M.F&A.HS2.a: Analyzes characteristics of classes of functions (polynomial, rational, and exponential) to include domain, range, intercepts, increasing and decreasing intervals and rates of change.

 Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Logarithmic Functions
 Polynomials and Linear Factors
 Quadratics in Factored Form
 Radical Functions
 Rational Functions

M.F&A.HS2.b: Understands one-to-one (injective) functions and that a function that is one-to-one has a converse that is also a function; and finds inverses algebraically and graphically.

 Logarithmic Functions

M.F&A.HS2.c: Graphs polynomial, rational and exponential functions, including vertical and horizontal shifts, stretches, and compressions as well as reflections across vertical and horizontal axes.

 Compound Interest
 Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Logarithmic Functions
 Polynomials and Linear Factors
 Quadratics in Factored Form
 Quadratics in Vertex Form
 Rational Functions

M.F&A.HS2.d: Applies knowledge of functions to interpret and understand situations, design mathematical models, and solve problems in mathematics as well as in the natural and social sciences.

 Linear Functions
 Points, Lines, and Equations

M.F&A.10.2: Demonstrates conceptual understanding of linear and nonlinear functions and relations (including characteristics of classes of functions) through an analysis of constant, variable, or average rates of change, intercepts, domain, range, maximum and minimum values, increasing and decreasing intervals and rates of change (e.g., the height is increasing at a decreasing rate); describes how change in the value of one variable relates to change in the value of a second variable; or works between and among different representations of functions and relations (e.g., graphs, tables, equations, function notation).

 Compound Interest
 Direct and Inverse Variation
 Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Introduction to Functions
 Linear Functions
 Logarithmic Functions
 Points, Lines, and Equations
 Radical Functions
 Translating and Scaling Functions

M.F&A.HS3.a: Manipulates, evaluates, and simplifies algebraic and numerical expressions.

 Compound Interest
 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line

M.F&A.HS3.b: Adds, subtracts, multiplies and divides polynomials and rational expressions.

 Addition and Subtraction of Functions
 Addition of Polynomials
 Dividing Polynomials Using Synthetic Division
 Modeling the Factorization of x2+bx+c

M.F&A.HS3.c: Factors quadratic and higher degree polynomials.

 Dividing Polynomials Using Synthetic Division
 Factoring Special Products

M.F&A.HS3.d: Understands properties of logarithms and converts between logarithmic and exponential forms.

 Logarithmic Functions

M.F&A.HS3.e: Manipulates, evaluates, and simplifies expressions involving rational exponents and radicals and converts between expressions with rational exponents and expressions with radicals.

 Operations with Radical Expressions

M.F&A.10.3: Demonstrates conceptual understanding of algebraic expressions by solving problems involving algebraic expressions, by simplifying expressions (e.g., simplifying polynomial or rational expressions, or expressions involving integer exponents, square roots, or absolute values), by evaluating expressions, or by translating problem situations into algebraic expressions.

 Compound Interest
 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Exponents and Power Rules
 Modeling the Factorization of ax2+bx+c
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Simplifying Radical Expressions
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

M.F&A.HS4.a: Factors, completes the square, uses the quadratic formula, and graphs quadratic functions to solve quadratic equations.

 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Roots of a Quadratic

M.F&A.HS4.b: Solves equations involving polynomial, rational, and radical expressions. Graphs and interprets the solutions.

 Radical Functions

M.F&A.HS4.e: Solves 2x2 and 3x3 systems of linear equations and graphically interprets the solutions.

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

M.F&A.HS4.f: Solves systems of linear and quadratic inequalities.

 Linear Programming
 Systems of Linear Inequalities (Slope-intercept form)

M.F&A.HS4.h: Translates problem situations into inequalities; and solves linear and non-linear inequalities (symbolically and graphically).

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

M.F&A.10.4: Demonstrates conceptual understanding of equality by solving problems involving algebraic reasoning about equality; by translating problem situations into equations; by solving linear equations (symbolically and graphically) and expressing the solution set symbolically or graphically, or provides the meaning of the graphical interpretations of solution(s) in problem-solving situations; or by solving problems involving systems of linear equations in a context (using equations or graphs) or using models or representations.

 Absolute Value Equations and Inequalities
 Cat and Mouse (Modeling with Linear Systems)
 Linear Functions
 Linear Inequalities in Two Variables
 Solving Equations on the Number Line
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)
 Using Algebraic Equations

M.DSP.HS.1: Interprets a given representation(s) (e.g., regression function including linear, quadratic, and exponential) to analyze the data to make inferences and to formulate, justify, and critique conclusions.

 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

M.DSP.10.1: Interprets a given representation(s) (e.g., box-and-whisker plots, scatter plots, bar graphs, line graphs, circle graphs, histograms, frequency charts) to make observations, to answer questions, to analyze the data to formulate or justify conclusions, critique conclusions, make predictions, or to solve problems within mathematics or across disciplines or contexts (e.g., media, workplace, social and environmental situations).

 Box-and-Whisker Plots
 Correlation
 Histograms
 Least-Squares Best Fit Lines
 Polling: City
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

M.DSP.HS.2: Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of dispersion (standard deviation, variance, and percentiles).

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Real-Time Histogram

M.DSP.10.2: Analyzes patterns, trends, or distributions in data in a variety of contexts by determining, using, or analyzing measures of central tendency (mean, median, or mode), dispersion (range or variation), outliers, quartile values, estimated line of best fit, regression line, or correlation (strong positive, strong negative, or no correlation) to solve problems; and solve problems involving conceptual understanding of the sample from which the statistics were developed.

 Box-and-Whisker Plots
 Correlation
 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

M.DSP.HS.3: Organizes and displays one- and two-variable data using a variety of representations (e.g., box-and-whisker plots, scatter plots, bar graphs, line graphs, circle graphs, histograms, frequency charts, linear, quadratic, and exponential regression functions) to analyze the data to formulate or justify conclusions, make predictions, or to solve problems with or without using technology.

 Box-and-Whisker Plots
 Correlation
 Describing Data Using Statistics
 Stem-and-Leaf Plots

M.DSP.10.3: Identifies or describes representations or elements of representations that best display a given set of data or situation, consistent with the representations required in M:DSP:10:1.

 Box-and-Whisker Plots
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

M.DSP.HS.4: Uses counting techniques to solve problems in context involving combination or permutations using a variety of strategies (e.g., nCr, nPr, or n!); and finds unions, intersections, and complements of sets.

 Binomial Probabilities
 Compound Inequalities
 Permutations and Combinations

M.DSP.10.4: Uses counting techniques to solve problems in context involving combinations or permutations using a variety of strategies (e.g., organized lists, tables, tree diagrams, models, Fundamental Counting Principle, or others).

 Binomial Probabilities
 Permutations and Combinations

M.DSP.HS.5: For a probability event in which the sample space may or may not contain equally likely outcomes, predicts the theoretical probability of an event and tests the prediction through experiments and simulations; compares and contrasts theoretical and experimental probabilities; finds the odds of an event and understands the relationship between probability and odds.

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

M.DSP.10.5: Solves problems involving experimental or theoretical probability.

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

M.DSP.HS.6: In response to a teacher or student generated question or hypothesis decides the most effective method (e.g., survey, observation, research, experimentation) and sampling techniques (e.g., random sample, stratified random sample) to collect the data necessary to answer the question; collects, organizes, and appropriately displays the data; analyzes the data to draw conclusions about the questions or hypotheses being tested while considering the limitations of the data that could effect interpretations; and when appropriate makes predications, asks new questions, or makes connections to real-world situations.

 Box-and-Whisker Plots
 Correlation
 Describing Data Using Statistics
 Polling: City
 Polling: Neighborhood
 Populations and Samples
 Real-Time Histogram
 Stem-and-Leaf Plots

M.PRP.HS2.b: Use informal and formal reasoning and proof to explain and justify conclusions.

 Biconditional Statements

M.CCR.HS2.a: Choose appropriate representations and mathematical language (e.g., spreadsheets, geometric models, algebraic symbols, tables, graphs, matrices) to present ideas clearly and logically for a given situation.

 Dilations
 Using Algebraic Expressions

M.CCR.HS2.b: See a common structure in mathematical phenomena that come from very different contexts (e.g., the sum of the first n odd natural numbers, the areas of square gardens, and the distance traveled by a vehicle that starts at rest and accelerates at a constant rate can be represented by functions of the form f(x) = ax_).

 Finding Patterns

M.CCR.HS2.c: Find representations that model essential features of a mathematical situation (e.g., cost of postage can be modeled by a step-function).

 Determining a Spring Constant
 Estimating Population Size

M.CCR.HS3.a: Explain in oral or written form how mathematics connects to other disciplines, to daily life, careers, and society (e.g., geometry in art and literature, data analysis in social studies, and exponential growth in finance).

 Estimating Population Size
 Unit Conversions

Correlation last revised: 5/18/2018

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