Objective 001 A-CED.1

Creating and Solving One-Variable Equations and Inequalities from Real Situations

Objective 002 A-CED.2

Creating Equations in Two or More Variables and Graphing Relationships

Objective 003 A-CED.3

Representing Constraints, Systems, and Viable Solutions in Context

Objective 004 A-CED.4

Rearranging Formulas to Isolate a Chosen Quantity

Objective 005 A-REI.1

Explaining Equation-Solving Steps as Logical Consequences of Equality

Objective 006 A-REI.10

Understanding a Graph as the Set of All Solutions to a Two-Variable Equation

Objective 007 A-REI.11

Solving `f(x) = g(x)` by Finding Intersections of Graphs and Tables

Objective 008 A-REI.12

Graphing Linear Inequalities and Systems as Half-Plane Solution Regions

Objective 009 A-REI.3

Solving Linear Equations and Inequalities in One Variable, Including Literal Linear Equations

Objective 010 A-REI.3.1

Solving and Graphing One-Variable Absolute-Value Equations and Inequalities in Context

Objective 011 A-REI.5

Why Elimination Works in a System of Linear Equations

Objective 012 A-REI.6

Solving Systems of Two Linear Equations Exactly and Approximately

Objective 013 A-SSE.1.a

Interpreting Terms, Factors, and Coefficients in Linear and Exponential Expressions

Objective 014 A-SSE.1.b

Interpreting Complex Expressions by Treating Sub-Expressions as Single Units

Objective 015 F-BF.1.a

Building a Function from Context

Objective 016 F-BF.1.b

Combining Functions to Build Better Models

Objective 017 F-BF.2

Arithmetic and Geometric Sequences as Models of Repeated Change

Objective 018 F-BF.3

Transforming Graphs and Recognizing Symmetry

Objective 019 F-IF.1

What a Function Is and Why the Input-Output Rule Matters

Objective 020 F-IF.2

Using Function Notation to Evaluate and Interpret Relationships

Objective 021 F-IF.3

Sequences as Functions with Integer Domains

Objective 022 F-IF.4

Interpreting and Sketching Key Features of Graphs and Tables in Context

Objective 023 F-IF.5

Relating a Function's Domain to Its Graph and Real-World Meaning

Objective 024 F-IF.6

Calculating, Estimating, and Interpreting Average Rate of Change

Objective 025 F-IF.7.a

Graphing Linear and Quadratic Functions and Showing Key Features

Objective 026 F-IF.7.e

Graphing Exponential Functions and Reading Intercepts and End Behavior

Objective 027 F-IF.9

Comparing Functions Across Equations, Graphs, Tables, and Verbal Descriptions

Objective 028 F-LE.1.a

Distinguishing Linear and Exponential Situations by Equal Differences and Equal Factors

Objective 029 F-LE.1.b

Recognizing Constant Rate of Change as Evidence for a Linear Model

Objective 030 F-LE.1.c

Recognizing Constant Percent Growth or Decay as Evidence for an Exponential Model

Objective 031 F-LE.2

Constructing Linear and Exponential Functions from Graphs, Descriptions, and Input-Output Pairs

Objective 032 F-LE.3

Seeing That Exponential Growth Eventually Exceeds Linear, Quadratic, and Polynomial Growth

Objective 033 F-LE.5

Interpreting Parameters in Linear and Exponential Functions in Context

Objective 034 G-CO.1

Using Precise Definitions of Angles, Circles, Perpendicular Lines, Parallel Lines, and Line Segments

Objective 035 G-CO.12

Performing Formal Geometric Constructions with Compass, Straightedge, Folding, String, Reflective Tools, and Software

Objective 036 G-CO.13

Constructing an Equilateral Triangle, Square, and Regular Hexagon Inscribed in a Circle

Objective 037 G-CO.2

Representing Transformations as Functions on Points and Comparing Rigid with Non-Rigid Transformations

Objective 038 G-CO.3

Describing Rotations and Reflections That Carry Shapes Onto Themselves

Objective 039 G-CO.4

Defining Rotations, Reflections, and Translations with Precise Geometric Language

Objective 040 G-CO.5

Drawing Transformed Figures and Specifying Sequences of Transformations

Objective 041 G-CO.6

Using Rigid Motions to Decide Whether Two Figures Are Congruent

Objective 042 G-CO.7

Using Rigid Motions to Show Triangle Congruence Through Corresponding Sides and Angles

Objective 043 G-CO.8

Explaining ASA, SAS, and SSS Triangle Congruence from Rigid Motions

Objective 044 G-GPE.4

Using Coordinates, Distance, and Algebra to Prove or Disprove Geometric Statements

Objective 045 G-GPE.5

Proving and Using Slope Criteria for Parallel and Perpendicular Lines

Objective 046 G-GPE.7

Using Coordinates to Compute Polygon Perimeters and Areas

Objective 047 N-Q.1

Using Units to Guide Multi-Step Problem Solving

Objective 048 N-Q.2

Defining Appropriate Quantities for Descriptive Modeling

Objective 049 N-Q.3

Reporting Quantities with Appropriate Accuracy

Objective 050 S-ID.1

Representing One-Variable Data with Dot Plots, Histograms, and Box Plots

Objective 051 S-ID.2

Comparing Data Sets with Center and Spread

Objective 052 S-ID.3

Interpreting Shape, Center, Spread, and Outliers in Context

Objective 053 S-ID.5

Summarizing Two-Category Data with Two-Way Tables

Objective 054 S-ID.6.a

Using Scatter Plots and Fitted Functions to Model Relationships

Objective 055 S-ID.6.b

Assessing Model Fit with Residuals

Objective 056 S-ID.6.c

Fitting a Linear Function When Data Suggest a Linear Association

Objective 057 S-ID.7

Interpreting Slope and Intercept in a Linear Data Model

Objective 058 S-ID.8

Computing and Interpreting the Correlation Coefficient

Objective 059 S-ID.9

Distinguishing Correlation from Causation

Objective 060 A-APR.1

Adding, Subtracting, and Multiplying Polynomials

Objective 061 A-CED.1

Creating and Solving One-Variable Equations and Inequalities in Math II Models

Objective 062 A-CED.2

Creating Two-Variable Equations and Graphing Relationships with Meaningful Axes

Objective 063 A-CED.4

Rearranging Formulas, Including Formulas with Quadratic Terms

Objective 064 A-REI.4.a

Completing the Square and Deriving the Quadratic Formula

Objective 065 A-REI.4.b

Solving Quadratic Equations by the Best Available Method, Including Complex Solutions

Objective 066 A-REI.7

Solving Linear–Quadratic Systems Algebraically and Graphically

Objective 067 A-SSE.1.a

Interpreting Terms, Factors, and Coefficients in Quadratic and Exponential Expressions

Objective 068 A-SSE.1.b

Interpreting Complex Quadratic and Exponential Expressions by Treating Sub-Expressions as Single Units

Objective 069 A-SSE.2

Using Expression Structure to Identify Useful Rewrites

Objective 070 A-SSE.3.a

Factoring Quadratics to Reveal Zeros of the Functions They Define

Objective 071 A-SSE.3.b

Completing the Square to Reveal Maximum and Minimum Values

Objective 072 A-SSE.3.c

Using Exponent Properties to Transform Exponential Expressions

Objective 073 F-BF.1.a

Building Quadratic and Exponential Functions from Context

Objective 074 F-BF.1.b

Combining Standard Function Types to Build Models

Objective 075 F-BF.3

Transforming Quadratic and Absolute-Value Functions and Recognizing Even and Odd Symmetry

Objective 076 F-BF.4.a

Finding Inverse Functions by Undoing Simple Functions

Objective 077 F-IF.4

Interpreting Key Features of Quadratic Graphs and Tables in Context

Objective 078 F-IF.5

Relating the Domain of a Quadratic Function to Its Graph and Situation

Objective 079 F-IF.6

Calculating and Interpreting Average Rate of Change for Quadratic Functions

Objective 080 F-IF.7.a

Graphing Linear and Quadratic Functions and Showing Intercepts, Maxima, and Minima

Objective 081 F-IF.7.b

Graphing Square-Root, Cube-Root, Absolute-Value, Step, and Piecewise Functions

Objective 082 F-IF.8.a

Rewriting Quadratics to Reveal Zeros, Extremes, and Symmetry

Objective 083 F-IF.8.b

Rewriting Exponential Expressions to Reveal Growth and Decay

Objective 084 F-IF.9

Comparing Functions Across Graphs, Tables, Equations, and Descriptions

Objective 085 F-LE.3

Seeing Why Exponential Growth Eventually Outruns Linear and Quadratic Growth

Objective 086 F-LE.6

Applying Quadratic Functions to Physical Situations Such as Projectile Motion

Objective 087 F-TF.8

Proving and Using the Pythagorean Trigonometric Identity

Objective 088 G-C.1

Proving That All Circles Are Similar

Objective 089 G-C.2

Understanding Relationships Among Inscribed Angles, Central Angles, Radii, Chords, Diameters, and Tangents

Objective 090 G-C.3

Constructing Inscribed and Circumscribed Circles of Triangles and Proving Cyclic Quadrilateral Angle Properties

Objective 091 G-C.4

Constructing Tangent Lines from an External Point to a Circle

Objective 092 G-C.5

Deriving Arc Length, Sector Area, and Radian Measure

Objective 093 G-CO.10

Proving Theorems About Triangles

Objective 094 G-CO.11

Proving Theorems About Parallelograms

Objective 095 G-CO.9

Proving Theorems About Lines and Angles

Objective 096 G-GMD.1

Explaining Circumference, Area, and Volume Formulas Instead of Just Memorizing Them

Objective 097 G-GMD.3

Using Volume Formulas for Cylinders, Pyramids, Cones, and Spheres

Objective 098 G-GMD.5

Applying Scale Factors to Length, Area, and Volume

Objective 099 G-GMD.6

Using Triangle Side-Angle Relationships and the Triangle Inequality

Objective 100 G-GPE.1

Deriving and Interpreting the Equation of a Circle

Objective 101 G-GPE.2

Deriving the Equation of a Parabola from a Focus and Directrix

Objective 102 G-GPE.4

Using Coordinates to Prove Geometric Theorems, Including Circle Theorems

Objective 103 G-GPE.6

Partitioning a Directed Segment in a Given Ratio

Objective 104 G-SRT.1.a

Verifying How Dilations Transform Lines

Objective 105 G-SRT.1.b

Verifying That Dilations Scale Line Segments by the Scale Factor

Objective 106 G-SRT.2

Using Similarity Transformations to Decide Similarity and Explain Triangle Proportions

Objective 107 G-SRT.3

Establishing the AA Similarity Criterion from Similarity Transformations

Objective 108 G-SRT.4

Proving Triangle-Similarity Theorems, Including the Pythagorean Theorem

Objective 109 G-SRT.5

Using Congruence and Similarity Criteria to Solve Problems and Prove Relationships

Objective 110 G-SRT.6

Defining Trigonometric Ratios for Acute Angles Through Right-Triangle Similarity

Objective 111 G-SRT.7

Explaining and Using the Complementary-Angle Relationship Between Sine and Cosine

Objective 112 G-SRT.8

Using Trig Ratios and the Pythagorean Theorem to Solve Right Triangles in Applied Problems

Objective 113 G-SRT.8.1

Deriving and Using Trig Ratios for 30-60-90 and 45-45-90 Special Right Triangles

Objective 114 N-CN.1

Understanding `i` and Representing Complex Numbers as `a + bi`

Objective 115 N-CN.2

Adding, Subtracting, and Multiplying Complex Numbers

Objective 116 N-CN.7

Solving Real-Coefficient Quadratic Equations with Complex Solutions

Objective 117 N-CN.8

Extending Polynomial Identities to Complex Numbers

Objective 118 N-CN.9

Knowing the Fundamental Theorem of Algebra and Verifying It for Quadratics

Objective 119 N-RN.1

Explaining Rational Exponents as Extensions of Exponent Rules and Radical Notation

Objective 120 N-RN.2

Rewriting Expressions with Radicals and Rational Exponents

Objective 121 N-RN.3

Understanding Rational Closure and Irrational Results from Sums and Products

Objective 122 S-CP.1

Describing Events as Subsets of a Sample Space

Objective 123 S-CP.2

Determining Event Independence with `P(A and B) = P(A)P(B)`

Objective 124 S-CP.3

Understanding Conditional Probability and Its Connection to Independence

Objective 125 S-CP.4

Using Two-Way Frequency Tables as Sample Spaces for Independence and Conditional Probability

Objective 126 S-CP.5

Explaining Conditional Probability and Independence in Everyday Language

Objective 127 S-CP.6

Computing Conditional Probability as a Fraction of Outcomes

Objective 128 S-CP.7

Applying and Interpreting the Addition Rule for Probability

Objective 129 S-CP.8

Applying and Interpreting the General Multiplication Rule

Objective 130 S-CP.9

Using Permutations and Combinations to Compute Probabilities of Compound Events

Objective 131 S-MD.6

Using Probability to Make Fair Decisions

Objective 132 S-MD.7

Analyzing Decisions and Strategies with Probability

Objective 133 A-APR.1

Adding, Subtracting, and Multiplying Polynomials Beyond Quadratics

Objective 134 A-APR.2

Applying the Remainder Theorem to Connect Values, Remainders, and Factors

Objective 135 A-APR.3

Identifying Zeros from Factorizations and Sketching Polynomial Graphs

Objective 136 A-APR.4

Proving Polynomial Identities and Using Them to Describe Numerical Relationships

Objective 137 A-APR.5

Applying the Binomial Theorem with Pascal's Triangle and Combinatorial Reasoning

Objective 138 A-APR.6

Rewriting Rational Expressions with Inspection, Polynomial Division, and Technology

Objective 139 A-APR.7

Adding, Subtracting, Multiplying, and Dividing Rational Expressions

Objective 140 A-CED.1

Creating and Solving One-Variable Equations and Inequalities Across Advanced Expression Types

Objective 141 A-CED.2

Creating Equations in Two or More Variables and Interpreting Graphs with Labels and Scales

Objective 142 A-CED.3

Representing Constraints and Systems and Interpreting Viable Solutions

Objective 143 A-CED.4

Rearranging Advanced Formulas to Highlight a Chosen Quantity

Objective 144 A-REI.11

Solving `f(x)=g(x)` Approximately with Intersections Across Advanced Function Types

Objective 145 A-REI.2

Solving Simple Rational and Radical Equations and Identifying Extraneous Solutions

Objective 146 A-SSE.1.a

Interpreting Terms, Factors, and Coefficients in Polynomial and Rational Expressions

Objective 147 A-SSE.1.b

Interpreting Complex Polynomial and Rational Expressions by Treating Parts as Single Units

Objective 148 A-SSE.2

Using Expression Structure to Find Useful Rewrites

Objective 149 A-SSE.4

Deriving and Using the Finite Geometric Series Formula

Objective 150 F-BF.1.b

Combining Studied Function Types Arithmetically to Build Models

Objective 151 F-BF.3

Analyzing Transformations Across Radical, Rational, Exponential, and Other Functions

Objective 152 F-BF.4.a

Finding Inverse Functions for Simple Invertible Functions, Including Rational Examples

Objective 153 F-IF.4

Interpreting Key Features of Rational, Square-Root, Cube-Root, and Other Function Models

Objective 154 F-IF.5

Relating Domain to Graph and Context When Model Choice Matters

Objective 155 F-IF.6

Calculating and Interpreting Average Rate of Change for Advanced Function Types

Objective 156 F-IF.7.b

Graphing Square-Root, Cube-Root, Absolute-Value, Step, and Piecewise-Defined Functions

Objective 157 F-IF.7.c

Graphing Polynomial Functions Using Zeros, Factorizations, and End Behavior

Objective 158 F-IF.7.e

Graphing Exponential, Logarithmic, and Trigonometric Functions with Key Features

Objective 159 F-IF.8

Rewriting Functions in Equivalent Forms to Reveal and Explain Useful Properties

Objective 160 F-IF.9

Comparing Functions Across Algebraic, Graphical, Numerical, and Verbal Representations

Objective 161 F-LE.4

Using Logarithms to Solve Exponential Equations of the Form `ab^(ct)=d`

Objective 162 F-LE.4.1

Proving Simple Logarithm Laws

Objective 163 F-LE.4.2

Using the Definition of Logarithms to Translate Among Bases

Objective 164 F-LE.4.3

Using Logarithm Properties to Simplify and Estimate Numeric Logarithmic Expressions

Objective 165 F-TF.1

Understanding Radian Measure as Arc Length on the Unit Circle

Objective 166 F-TF.2

Using the Unit Circle to Extend Trig Functions to All Real-Number Radian Measures

Objective 167 F-TF.2.1

Graphing All Six Basic Trigonometric Functions

Objective 168 F-TF.5

Choosing Trig Functions to Model Periodic Phenomena with Amplitude, Frequency, and Midline

Objective 169 G-GMD.4

Identifying Cross-Sections and Solids Generated by Rotating Two-Dimensional Objects

Objective 170 G-GPE.3.1

Completing the Square to Identify and Graph Conic Sections

Objective 171 G-MG.1

Using Geometric Shapes, Measurements, and Properties to Describe Real-World Objects

Objective 172 G-MG.2

Applying Density Concepts Based on Area and Volume in Modeling Situations

Objective 173 G-MG.3

Using Geometric Methods to Solve Design Problems Under Constraints

Objective 174 G-SRT.10

Proving the Laws of Sines and Cosines and Using Them to Solve Problems

Objective 175 G-SRT.11

Applying the Laws of Sines and Cosines to Find Unknown Measurements

Objective 176 G-SRT.9

Deriving the Triangle Area Formula `A = 1/2ab sin(C)` Using an Auxiliary Altitude

Objective 177 N-CN.8

Extending Polynomial Identities to Complex Numbers for Higher-Degree Polynomial Work

Objective 178 N-CN.9

Knowing the Fundamental Theorem of Algebra and Connecting It to Polynomial Roots

Objective 179 S-IC.1

Understanding Statistics as Inference About Population Parameters from Random Samples

Objective 180 S-IC.2

Using Simulation to Decide Whether Data Are Consistent with a Proposed Model

Objective 181 S-IC.3

Distinguishing Sample Surveys, Experiments, and Observational Studies

Objective 182 S-IC.4

Estimating Population Means and Proportions with Margins of Error Using Simulation

Objective 183 S-IC.5

Using Randomized Experiments and Simulations to Compare Treatments

Objective 184 S-IC.6

Evaluating Reports Based on Data

Objective 185 S-ID.4

Using Mean and Standard Deviation to Fit Normal Distributions and Estimate Population Percentages

Objective 186 S-MD.6

Using Probabilities to Make Fair Decisions in More Complex Settings

Objective 187 S-MD.7

Analyzing Decisions and Strategies Using Probability in Complex Settings