MA 11.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 11.1.2: Students will compute with real and complex numbers.

MA 11.1.2.a: Compute with subsets of the complex number system, including imaginary, rational, irrational, integers, whole, and natural numbers.

 Addition of Polynomials
 Points in the Complex Plane

MA 11.2: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 11.2.1: Students will demonstrate, represent, and show relationships with functions.

MA 11.2.1.b: Analyze a relation to determine if it is a function given graphs, tables, or algebraic notation.

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

MA 11.2.1.c: Classify a function given graphs, tables, or algebraic notation, as linear, quadratic, or neither.

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Linear Functions
 Translating and Scaling Functions

MA 11.2.1.d: Identify domain and range of functions represented in either algebraic or graphical form.

 Introduction to Functions
 Logarithmic Functions
 Radical Functions

MA 11.2.1.e: Analyze and graph linear functions and inequalities (point-slope form, slope-intercept form, standard form, intercepts, rate of change, parallel and perpendicular lines, vertical and horizontal lines, and inequalities).

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Cat and Mouse (Modeling with Linear Systems)
 Compound Interest
 Exploring Linear Inequalities in One Variable
 Exponential Functions
 Linear Functions
 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Solving Linear Inequalities in One Variable
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

MA 11.2.1.f: Analyze and graph absolute value functions (finding the vertex, symmetry, transformations, determine intercepts, and minimums or maximums using the piecewise definition).

 Absolute Value with Linear Functions
 Translating and Scaling Functions

MA 11.2.1.g: Analyze and graph quadratic functions (standard form, vertex form, finding zeros, symmetry, transformations, determine intercepts, and minimums or maximums).

 Exponential Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Roots of a Quadratic
 Translating and Scaling Functions
 Translations
 Zap It! Game

MA 11.2.1.h: Represent, interpret, and analyze inverses of functions algebraically and graphically.

 Logarithmic Functions

MA 11.2.2: Students will apply the operational properties when evaluating rational expressions, and solving linear and quadratic equations, and inequalities.

MA 11.2.2.b: Identify and explain the properties used in solving equations and inequalities.

 Compound Inequalities
 Linear Inequalities in Two Variables
 Solving Algebraic Equations II
 Solving Linear Inequalities in One Variable

MA 11.2.2.c: Simplify algebraic expressions involving integer and fractional exponents.

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

MA 11.2.2.e: Evaluate expressions at specified values of their variables (polynomial, rational, radical, and absolute value).

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions

MA 11.2.2.f: Solve an equation involving several variables for one variable in terms of the others.

 Area of Triangles
 Solving Formulas for any Variable

MA 11.2.2.g: Solve linear and absolute value equations and inequalities.

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Linear Inequalities in One Variable
 Solving Two-Step Equations
 Systems of Linear Inequalities (Slope-intercept form)

MA 11.2.2.h: Analyze and solve systems of two linear equations and inequalities in two variables algebraically and graphically.

 Cat and Mouse (Modeling with Linear Systems)
 Linear Programming
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)
 Systems of Linear Inequalities (Slope-intercept form)

MA 11.2.2.i: Perform operations (addition subtraction, multiplication, and division) on polynomials.

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

MA 11.2.2.j: Factor polynomials to include factoring out monomial terms and factoring quadratic expressions.

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form

MA 11.2.2.l: Make the connection between the factors of a polynomial and the zeros of a polynomial.

 Modeling the Factorization of x2+bx+c
 Polynomials and Linear Factors
 Quadratics in Factored Form

MA 11.2.2.m: Combine functions by composition and perform operations (addition, subtraction, multiplication, division) on functions.

 Addition and Subtraction of Functions

MA 11.2.2.n: Solve quadratic equations involving real coefficients and real or imaginary roots.

 Roots of a Quadratic

MA 11.2.3: Students will solve real-world problems involving linear equations and inequalities, systems of linear equations, quadratic, exponential, square root, and absolute value functions.

MA 11.2.3.a: Analyze, model, and solve real-world problems using various representations (graphs, tables, linear equations and inequalities, systems of linear equations, quadratic, exponential, square root, and absolute value functions).

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Compound Interest
 Introduction to Exponential Functions
 Linear Functions
 Linear Inequalities in Two Variables
 Quadratics in Polynomial Form
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

MA 11.3: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 11.3.1: Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.

MA 11.3.1.a: Know and use precise definitions of ray, line segment, angle, perpendicular lines, parallel lines, and congruence based on the undefined terms of geometry: point, line and plane.

 Parallel, Intersecting, and Skew Lines

MA 11.3.1.c: Apply geometric properties to solve problems involving similar triangles, congruent triangles, quadrilaterals, and other polygons.

 Classifying Quadrilaterals
 Congruence in Right Triangles
 Constructing Congruent Segments and Angles
 Parallelogram Conditions
 Perimeters and Areas of Similar Figures
 Proving Triangles Congruent
 Similar Figures
 Similarity in Right Triangles
 Special Parallelograms

MA 11.3.1.d: Identify and apply right triangle relationships including sine, cosine, tangent, special right triangles, and the converse of the Pythagorean Theorem.

 Cosine Function
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Sum and Difference Identities for Sine and Cosine
 Tangent Function

MA 11.3.1.e: Create geometric models to visualize, describe, and solve problems using similar triangles, right triangles, and trigonometry.

 Classifying Triangles
 Concurrent Lines, Medians, and Altitudes
 Perimeters and Areas of Similar Figures
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Similar Figures

MA 11.3.1.f: Know and use precise definitions and terminology of circles, including central angle, inscribed angle, arc, intercepted arc, chord, secant, and tangent.

 Circles
 Inscribed Angles

MA 11.3.1.g: Apply the properties of central angles, inscribed angles, angles formed by intersecting chords, and angles formed by secants and/or tangents to find the measures of angles related to the circle.

 Chords and Arcs
 Inscribed Angles

MA 11.3.1.h: Sketch, draw, and construct appropriate representations of geometric objects using a variety of tools and methods which may include ruler/straight edge, protractor, compass, reflective devices, paper folding, or dynamic geometric software.

 Constructing Congruent Segments and Angles
 Constructing Parallel and Perpendicular Lines
 Segment and Angle Bisectors

MA 11.3.2: Students will determine location, orientation, and relationships on the coordinate plane.

MA 11.3.2.a: Derive and apply the midpoint formula.

 Circles

MA 11.3.2.d: Derive and apply the distance formula.

 Circles
 Distance Formula

MA 11.3.2.g: Perform and describe positions and orientation of shapes under a single translation using algebraic notation on a coordinate plane.

 Dilations
 Rotations, Reflections, and Translations
 Translations

MA 11.3.2.h: Perform and describe positions and orientation of shapes under a rotation about the origin in multiples of 90 degrees using algebraic notation on a coordinate plane.

 Dilations
 Rotations, Reflections, and Translations

MA 11.3.2.i: Perform and describe positions and orientation of shapes under a reflection across a line using algebraic notation on a coordinate plane.

 Dilations
 Rotations, Reflections, and Translations
 Translations

MA 11.3.2.j: Perform and describe positions and orientation of shapes under a single dilation on a coordinate plane.

 Dilations
 Rotations, Reflections, and Translations
 Translations

MA 11.3.2.k: Derive the equation of a circle given the radius and the center.

 Circles

MA 11.3.3: Students will perform and compare measurements and apply formulas.

MA 11.3.3.a: Convert between various units of length, area, and volume (e.g., such as square feet to square yards).

 Unit Conversions

MA 11.3.3.b: Convert between metric and standard units of measurement.

 Unit Conversions

MA 11.3.3.c: Apply the effect of a scale factor to determine the length, area, and volume of similar two- and three-dimensional shapes and solids.

 Dilations
 Perimeters and Areas of Similar Figures
 Similar Figures

MA 11.4: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 11.4.2: Students will analyze data to address the situation.

MA 11.4.2.a: Identify and compute measures of central tendency (mean, median, mode) when provided data both with and without technology.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

MA 11.4.2.b: Explain how transformations of data, including outliers, affect measures of central tendency.

 Describing Data Using Statistics
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)

MA 11.4.2.d: Support conclusions with valid arguments.

 Biconditional Statements

MA 11.4.2.e: Develop linear equations for linear models to predict unobserved outcomes using the regression line and correlation coefficient with technology.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

MA 11.4.2.f: Describe the shape, identify any outliers, and determine the spread of a data set.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Mean, Median, and Mode
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram

MA 11.4.2.g: Explain the impact of sampling methods, bias, and the phrasing of questions asked during data collection, and the conclusions that can rightfully be made.

 Polling: City
 Polling: Neighborhood

MA 11.4.2.h: Explain the differences between a randomized experiment and observational studies.

 Polling: Neighborhood

MA 11.4.2.i: Using scatter plots, analyze patterns and describe relationships in paired data.

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

MA 11.4.2.j: Recognize when arguments based on data confuse correlation with causation.

 Correlation

MA 11.4.2.k: Interpret data represented by the normal distribution, formulate conclusions, and recognize that some data sets are not normally distributed.

 Polling: City

MA 11.4.3: Students will interpret and apply concepts of probability.

MA 11.4.3.a: Construct sample spaces and probability distributions.

 Polling: City

MA 11.4.3.c: Determine if events are mutually exclusive and calculate their probabilities in either case.

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

Correlation last revised: 6/1/2018

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