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