domain_model_math (1) 1 2.json

{
    "nodes": {
        "concept_1": {
            "name": "Classify a real number as a natural, whole, integer, rational, or irrational number",
            "id": "concept_1",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_2": {
            "name": "Introduction to Fractions",
            "id": "concept_2",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_3": {
            "name": "Perform calculations using the order of operations",
            "id": "concept_3",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_4": {
            "name": "Introduction to Exponents",
            "id": "concept_4",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_5": {
            "name": "Use the commutative, associative, distributive, inverse, and identity properties of real numbers",
            "id": "concept_5",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_6": {
            "name": "Evaluate algebraic expressions",
            "id": "concept_6",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_7": {
            "name": "Substitution",
            "id": "concept_7",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_8": {
            "name": "Simplify algebraic expressions",
            "id": "concept_8",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_9": {
            "name": "Use the product rule of exponents for same base multiplication",
            "id": "concept_9",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_10": {
            "name": "Concept of Exponents",
            "id": "concept_10",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_11": {
            "name": "Use the quotient rule of exponents for same base division",
            "id": "concept_11",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_12": {
            "name": "Use the power rule for raising exponents to another power",
            "id": "concept_12",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_13": {
            "name": "Apply the zero exponent rule",
            "id": "concept_13",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_14": {
            "name": "Apply the negative exponent rule for reciprocal expressions",
            "id": "concept_14",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_15": {
            "name": "Find the power of a product and quotient",
            "id": "concept_15",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_16": {
            "name": "Simplify exponential expressions",
            "id": "concept_16",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_17": {
            "name": "Use scientific notation for very large or small numbers",
            "id": "concept_17",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_18": {
            "name": "Evaluate square roots",
            "id": "concept_18",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_19": {
            "name": "Definition of Square Root",
            "id": "concept_19",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_20": {
            "name": "Use the product rule to simplify square roots",
            "id": "concept_20",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_21": {
            "name": "Prime Factorization",
            "id": "concept_21",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_22": {
            "name": "Use the quotient rule to simplify square roots",
            "id": "concept_22",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_23": {
            "name": "Simplifying Fractions",
            "id": "concept_23",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_24": {
            "name": "Add and subtract square roots",
            "id": "concept_24",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_25": {
            "name": "Combining Like Terms",
            "id": "concept_25",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_26": {
            "name": "Rationalize denominators",
            "id": "concept_26",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_27": {
            "name": "Use rational roots",
            "id": "concept_27",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_28": {
            "name": "Properties of Exponents",
            "id": "concept_28",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_29": {
            "name": "Identify the degree and leading coefficient of polynomials",
            "id": "concept_29",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_30": {
            "name": "Add and subtract polynomials",
            "id": "concept_30",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_31": {
            "name": "Multiply polynomials",
            "id": "concept_31",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_32": {
            "name": "Use FOIL to multiply binomials",
            "id": "concept_32",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_33": {
            "name": "Definition of a Binomial",
            "id": "concept_33",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_34": {
            "name": "Perform operations with polynomials of several variables",
            "id": "concept_34",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_35": {
            "name": "Basic Arithmetic Operations with Variables",
            "id": "concept_35",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_36": {
            "name": "Factor the greatest common factor of a polynomial",
            "id": "concept_36",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_37": {
            "name": "Understanding Multiples and Factors",
            "id": "concept_37",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_38": {
            "name": "Greatest Common Factor (GCF)",
            "id": "concept_38",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_39": {
            "name": "Distributive Property",
            "id": "concept_39",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_40": {
            "name": "Factor a trinomial",
            "id": "concept_40",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_41": {
            "name": "Recognizing Trinomials",
            "id": "concept_41",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_42": {
            "name": "Factor by grouping",
            "id": "concept_42",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_43": {
            "name": "Grouping Terms",
            "id": "concept_43",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_44": {
            "name": "Factor a perfect square trinomial",
            "id": "concept_44",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_45": {
            "name": "Factor a difference of squares",
            "id": "concept_45",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_46": {
            "name": "Factor the sum and difference of cubes",
            "id": "concept_46",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_47": {
            "name": "Factor expressions using fractional or negative exponents",
            "id": "concept_47",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_48": {
            "name": "Basic Properties of Exponents",
            "id": "concept_48",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_49": {
            "name": "Simplify rational expressions by canceling common factors",
            "id": "concept_49",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_50": {
            "name": "Basic Properties of Fractions",
            "id": "concept_50",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_51": {
            "name": "Multiply rational expressions",
            "id": "concept_51",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_52": {
            "name": "Divide rational expressions by multiplying by the reciprocal",
            "id": "concept_52",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_53": {
            "name": "Reciprocal Concept",
            "id": "concept_53",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_54": {
            "name": "Add or subtract rational expressions with a common denominator",
            "id": "concept_54",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_55": {
            "name": "Simplify complex rational expressions",
            "id": "concept_55",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_56": {
            "name": "Operations with fractions",
            "id": "concept_56",
            "module": [
                73
            ],
            "params": {}
        },
        "concept_57": {
            "name": "Determine whether a relation represents a function",
            "id": "concept_57",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_58": {
            "name": "Understanding of Sets and Pairs",
            "id": "concept_58",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_59": {
            "name": "Basic Idea of Mapping",
            "id": "concept_59",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_60": {
            "name": "Find the value of a function",
            "id": "concept_60",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_61": {
            "name": "Determine whether a function is one-to-one",
            "id": "concept_61",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_62": {
            "name": "Basic Set Theory",
            "id": "concept_62",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_63": {
            "name": "Use the vertical line test to identify functions",
            "id": "concept_63",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_64": {
            "name": "Graph Reading",
            "id": "concept_64",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_65": {
            "name": "Graph the functions listed in the library of functions",
            "id": "concept_65",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_66": {
            "name": "Scale and Plotting on Cartesian Plane",
            "id": "concept_66",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_67": {
            "name": "Shape Recognition",
            "id": "concept_67",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_68": {
            "name": "Find the domain of a function defined by an equation",
            "id": "concept_68",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_69": {
            "name": "Understanding of Real Numbers",
            "id": "concept_69",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_70": {
            "name": "Graph piecewise-defined functions",
            "id": "concept_70",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_71": {
            "name": "Find the average rate of change of a function",
            "id": "concept_71",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_72": {
            "name": "Coordinate Systems",
            "id": "concept_72",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_73": {
            "name": "Use a graph to determine where a function is increasing, decreasing, or constant",
            "id": "concept_73",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_74": {
            "name": "Use a graph to locate local maxima and local minima",
            "id": "concept_74",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_75": {
            "name": "Use a graph to locate the absolute maximum and absolute minimum",
            "id": "concept_75",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_76": {
            "name": "Combine functions using algebraic operations",
            "id": "concept_76",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_77": {
            "name": "Create a new function by composition of functions",
            "id": "concept_77",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_78": {
            "name": "Evaluate composite functions",
            "id": "concept_78",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_79": {
            "name": "Find the domain of a composite function",
            "id": "concept_79",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_80": {
            "name": "Understanding Restrictions on Domains",
            "id": "concept_80",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_81": {
            "name": "Set Theory and Interval Notation",
            "id": "concept_81",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_82": {
            "name": "Decompose a composite function into its component functions",
            "id": "concept_82",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_83": {
            "name": "Graph functions using vertical and horizontal shifts",
            "id": "concept_83",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_84": {
            "name": "Coordinate Plane Knowledge",
            "id": "concept_84",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_85": {
            "name": "Graph functions using reflections about the x-axis and the y-axis",
            "id": "concept_85",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_86": {
            "name": "Determine whether a function is even, odd, or neither from its graph",
            "id": "concept_86",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_87": {
            "name": "Graph functions using compressions and stretches",
            "id": "concept_87",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_88": {
            "name": "Combine transformations",
            "id": "concept_88",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_89": {
            "name": "Graph an absolute value function",
            "id": "concept_89",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_90": {
            "name": "Understanding of Absolute Value",
            "id": "concept_90",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_91": {
            "name": "Solve an absolute value equation",
            "id": "concept_91",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_92": {
            "name": "Absolute Value Properties",
            "id": "concept_92",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_93": {
            "name": "Verify inverse functions",
            "id": "concept_93",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_94": {
            "name": "Understanding of Functions",
            "id": "concept_94",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_95": {
            "name": "Composition of Functions",
            "id": "concept_95",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_96": {
            "name": "Determine the domain and range of an inverse function, and restrict the domain of a function to make it one-to-one",
            "id": "concept_96",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_97": {
            "name": "Domain and Range",
            "id": "concept_97",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_98": {
            "name": "One-to-One Functions",
            "id": "concept_98",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_99": {
            "name": "Horizontal Line Test",
            "id": "concept_99",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_100": {
            "name": "Find or evaluate the inverse of a function",
            "id": "concept_100",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_101": {
            "name": "Use the graph of a one-to-one function to graph its inverse function on the same axes",
            "id": "concept_101",
            "module": [
                74
            ],
            "params": {}
        },
        "concept_102": {
            "name": "Represent a linear function",
            "id": "concept_102",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_103": {
            "name": "Understanding of a function as a mapping from inputs to outputs",
            "id": "concept_103",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_104": {
            "name": "Determine whether a linear function is increasing, decreasing, or constant",
            "id": "concept_104",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_105": {
            "name": "Interpret slope as a rate of change",
            "id": "concept_105",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_106": {
            "name": "Understanding ratios and proportions",
            "id": "concept_106",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_107": {
            "name": "Write and interpret an equation for a linear function",
            "id": "concept_107",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_108": {
            "name": "Substitution",
            "id": "concept_108",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_109": {
            "name": "Understanding of coordinate systems (x and y axes)",
            "id": "concept_109",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_110": {
            "name": "Graph linear functions",
            "id": "concept_110",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_111": {
            "name": "Determine whether lines are parallel or perpendicular",
            "id": "concept_111",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_112": {
            "name": "Write the equation of a line parallel or perpendicular to a given line",
            "id": "concept_112",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_113": {
            "name": "Knowledge of slope (m)",
            "id": "concept_113",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_114": {
            "name": "Basic understanding of the slope-intercept form y = mx + b and how to calculate slope (m) and intercept (b)",
            "id": "concept_114",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_115": {
            "name": "Knowledge of slope characteristics",
            "id": "concept_115",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_116": {
            "name": "Understanding how to find a slope from an equation",
            "id": "concept_116",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_117": {
            "name": "Skills to apply the point-slope form of a line equation when given a point and a slope",
            "id": "concept_117",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_118": {
            "name": "Solve a system of linear equations",
            "id": "concept_118",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_119": {
            "name": "Build linear models from verbal descriptions",
            "id": "concept_119",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_120": {
            "name": "Basic understanding of linear relationships",
            "id": "concept_120",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_121": {
            "name": "Model a set of data with a linear function",
            "id": "concept_121",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_122": {
            "name": "Understanding of best-fit lines and the method of least squares",
            "id": "concept_122",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_123": {
            "name": "Use problem strategies for any type of function, focusing on identifying variables and key values such as slope and initial value",
            "id": "concept_123",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_124": {
            "name": "Fundamental understanding of functions",
            "id": "concept_124",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_125": {
            "name": "Draw and interpret scatter diagrams",
            "id": "concept_125",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_126": {
            "name": "Use a graphing utility to find the line of best fit",
            "id": "concept_126",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_127": {
            "name": "Distinguish between linear and nonlinear relations",
            "id": "concept_127",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_128": {
            "name": "Fit a regression line to a set of data and use the linear model to make predictions",
            "id": "concept_128",
            "module": [
                75
            ],
            "params": {}
        },
        "concept_129": {
            "name": "Express square roots of negative numbers as multiples of i",
            "id": "concept_129",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_130": {
            "name": "Understanding of square roots and radicals",
            "id": "concept_130",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_131": {
            "name": "Basic number theory",
            "id": "concept_131",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_132": {
            "name": "Plot complex numbers on the complex plane",
            "id": "concept_132",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_133": {
            "name": "Cartesian coordinate system",
            "id": "concept_133",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_134": {
            "name": "Basic geometry",
            "id": "concept_134",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_135": {
            "name": "Add and subtract complex numbers",
            "id": "concept_135",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_136": {
            "name": "Multiply and divide complex numbers",
            "id": "concept_136",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_137": {
            "name": "Use of the distributive property",
            "id": "concept_137",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_138": {
            "name": "Conjugates and rationalizing denominators",
            "id": "concept_138",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_139": {
            "name": "Recognize characteristics of parabolas",
            "id": "concept_139",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_140": {
            "name": "Basic understanding of functions",
            "id": "concept_140",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_141": {
            "name": "Understand how the graph of a parabola is related to its quadratic function",
            "id": "concept_141",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_142": {
            "name": "Coordinate plane knowledge",
            "id": "concept_142",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_143": {
            "name": "Concept of intercepts",
            "id": "concept_143",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_144": {
            "name": "Determine a quadratic function’s minimum or maximum value",
            "id": "concept_144",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_145": {
            "name": "Concept of extrema in mathematics",
            "id": "concept_145",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_146": {
            "name": "Solve problems involving a quadratic function’s minimum or maximum value",
            "id": "concept_146",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_147": {
            "name": "Algebraic manipulation",
            "id": "concept_147",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_148": {
            "name": "Identify power functions",
            "id": "concept_148",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_149": {
            "name": "Exponents and powers",
            "id": "concept_149",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_150": {
            "name": "Function concept",
            "id": "concept_150",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_151": {
            "name": "Identify end behavior of power functions",
            "id": "concept_151",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_152": {
            "name": "Infinity",
            "id": "concept_152",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_153": {
            "name": "Behavior of exponential growth and decay",
            "id": "concept_153",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_154": {
            "name": "Identify polynomial functions",
            "id": "concept_154",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_155": {
            "name": "Identify the degree and leading coefficient of polynomial functions",
            "id": "concept_155",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_156": {
            "name": "Recognize characteristics of graphs of polynomial functions",
            "id": "concept_156",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_157": {
            "name": "Understanding basic graph shapes",
            "id": "concept_157",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_158": {
            "name": "Use factoring to find zeros of polynomial functions",
            "id": "concept_158",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_159": {
            "name": "Factoring techniques",
            "id": "concept_159",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_160": {
            "name": "Identify zeros and their multiplicities",
            "id": "concept_160",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_161": {
            "name": "Determine end behavior",
            "id": "concept_161",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_162": {
            "name": "Behavior of functions as x approaches infinity",
            "id": "concept_162",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_163": {
            "name": "Understand the relationship between degree and turning points",
            "id": "concept_163",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_164": {
            "name": "Graph polynomial functions",
            "id": "concept_164",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_165": {
            "name": "Use the Intermediate Value Theorem",
            "id": "concept_165",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_166": {
            "name": "Use long division to divide polynomials",
            "id": "concept_166",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_167": {
            "name": "Long division of numbers",
            "id": "concept_167",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_168": {
            "name": "Use synthetic division to divide polynomials",
            "id": "concept_168",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_169": {
            "name": "Basic operations with polynomials",
            "id": "concept_169",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_170": {
            "name": "Zeroes of polynomials",
            "id": "concept_170",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_171": {
            "name": "Evaluate a polynomial using the Remainder Theorem",
            "id": "concept_171",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_172": {
            "name": "Substitution",
            "id": "concept_172",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_173": {
            "name": "Basic division",
            "id": "concept_173",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_174": {
            "name": "Use the Factor Theorem to solve a polynomial equation",
            "id": "concept_174",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_175": {
            "name": "Factorization skills",
            "id": "concept_175",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_176": {
            "name": "Understanding of roots and zeros",
            "id": "concept_176",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_177": {
            "name": "Use the Rational Zero Theorem to find rational zeros",
            "id": "concept_177",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_178": {
            "name": "Prime factorization",
            "id": "concept_178",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_179": {
            "name": "Find zeros of a polynomial function",
            "id": "concept_179",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_180": {
            "name": "Algebraic solving techniques",
            "id": "concept_180",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_181": {
            "name": "Use the Linear Factorization Theorem to find polynomials with given zeros",
            "id": "concept_181",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_182": {
            "name": "Use Descartes’ Rule of Signs",
            "id": "concept_182",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_183": {
            "name": "Solve real-world applications of polynomial equations",
            "id": "concept_183",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_184": {
            "name": "Use arrow notation",
            "id": "concept_184",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_185": {
            "name": "Understanding of function behavior",
            "id": "concept_185",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_186": {
            "name": "Solve applied problems involving rational functions",
            "id": "concept_186",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_187": {
            "name": "Find the domains of rational functions",
            "id": "concept_187",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_188": {
            "name": "Algebraic manipulation",
            "id": "concept_188",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_189": {
            "name": "Identify vertical asymptotes",
            "id": "concept_189",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_190": {
            "name": "Identify horizontal asymptotes",
            "id": "concept_190",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_191": {
            "name": "Graph rational functions",
            "id": "concept_191",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_192": {
            "name": "Find the inverse of an invertible polynomial function",
            "id": "concept_192",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_193": {
            "name": "Understanding of functions and inverses",
            "id": "concept_193",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_194": {
            "name": "Restrict the domain to find the inverse of a polynomial function",
            "id": "concept_194",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_195": {
            "name": "Domain and range concepts",
            "id": "concept_195",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_196": {
            "name": "Solve direct variation problems",
            "id": "concept_196",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_197": {
            "name": "Algebraic equations",
            "id": "concept_197",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_198": {
            "name": "Solve inverse variation problems",
            "id": "concept_198",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_199": {
            "name": "Inverse relationships",
            "id": "concept_199",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_200": {
            "name": "Manipulation of rational expressions",
            "id": "concept_200",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_201": {
            "name": "Solve problems involving joint variation",
            "id": "concept_201",
            "module": [
                76
            ],
            "params": {}
        },
        "concept_202": {
            "name": "Evaluate exponential functions",
            "id": "concept_202",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_203": {
            "name": "Understanding of powers and indices",
            "id": "concept_203",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_204": {
            "name": "Find the equation of an exponential function",
            "id": "concept_204",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_205": {
            "name": "Understanding of the form of an exponential function y = ab^x",
            "id": "concept_205",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_206": {
            "name": "Basic algebraic skills to manipulate equations and solve for unknowns",
            "id": "concept_206",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_207": {
            "name": "Use compound interest formulas",
            "id": "concept_207",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_208": {
            "name": "Basic understanding of percentages and their conversion to decimal form for calculation purposes",
            "id": "concept_208",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_209": {
            "name": "Ability to substitute values into formulas and solve using basic algebra",
            "id": "concept_209",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_210": {
            "name": "Evaluate exponential functions with base e",
            "id": "concept_210",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_211": {
            "name": "Understanding that e is an irrational number approximately equal to 2.71828",
            "id": "concept_211",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_212": {
            "name": "Comprehension of natural logarithms",
            "id": "concept_212",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_213": {
            "name": "Graph exponential functions",
            "id": "concept_213",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_214": {
            "name": "Basic understanding of the Cartesian coordinate system, including the ability to plot points on a graph",
            "id": "concept_214",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_215": {
            "name": "Recognition of how the values of x affect the output of functions y = ab^x",
            "id": "concept_215",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_216": {
            "name": "Graph exponential functions using transformations",
            "id": "concept_216",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_217": {
            "name": "Convert from logarithmic to exponential form",
            "id": "concept_217",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_218": {
            "name": "Basic understanding of the relationship between exponentials and logarithms",
            "id": "concept_218",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_219": {
            "name": "Convert from exponential to logarithmic form",
            "id": "concept_219",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_220": {
            "name": "Evaluate logarithms",
            "id": "concept_220",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_221": {
            "name": "Use common logarithms",
            "id": "concept_221",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_222": {
            "name": "Understanding that common logarithms (base 10)",
            "id": "concept_222",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_223": {
            "name": "Use natural logarithms",
            "id": "concept_223",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_224": {
            "name": "Knowledge of natural logarithms ln, which have the base e",
            "id": "concept_224",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_225": {
            "name": "Identify the domain of a logarithmic function",
            "id": "concept_225",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_226": {
            "name": "Basic knowledge of set notation to express domains",
            "id": "concept_226",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_227": {
            "name": "Behavior of logarithmic functions",
            "id": "concept_227",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_228": {
            "name": "Graph logarithmic functions",
            "id": "concept_228",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_229": {
            "name": "Knowledge of transformations such as translations, reflections, and scaling as they apply to logarithmic functions",
            "id": "concept_229",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_230": {
            "name": "Use the product rule for logarithms",
            "id": "concept_230",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_231": {
            "name": "Use the quotient rule for logarithms",
            "id": "concept_231",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_232": {
            "name": "Use the power rule for logarithms",
            "id": "concept_232",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_233": {
            "name": "Expand logarithmic expressions",
            "id": "concept_233",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_234": {
            "name": "Condense logarithmic expressions",
            "id": "concept_234",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_235": {
            "name": "Use the change-of-base formula for logarithms",
            "id": "concept_235",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_236": {
            "name": "Use like bases to solve exponential equations",
            "id": "concept_236",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_237": {
            "name": "Use logarithms to solve exponential equations",
            "id": "concept_237",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_238": {
            "name": "Use the definition of a logarithm to solve logarithmic equations",
            "id": "concept_238",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_239": {
            "name": "Use the one-to-one property of logarithms to solve logarithmic equations",
            "id": "concept_239",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_240": {
            "name": "Solve applied problems involving exponential and logarithmic equations",
            "id": "concept_240",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_241": {
            "name": "Model exponential growth and decay",
            "id": "concept_241",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_242": {
            "name": "Use Newton’s Law of Cooling",
            "id": "concept_242",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_243": {
            "name": "Use logistic-growth models",
            "id": "concept_243",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_244": {
            "name": "Knowledge of logistic growth",
            "id": "concept_244",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_245": {
            "name": "Choose an appropriate model for data",
            "id": "concept_245",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_246": {
            "name": "Express an exponential model in base e",
            "id": "concept_246",
            "module": [
                77
            ],
            "params": {}
        },
        "concept_247": {
            "name": "Draw angles in standard position",
            "id": "concept_247",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_248": {
            "name": "Cartesian Coordinate System",
            "id": "concept_248",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_249": {
            "name": "Ray Concepts",
            "id": "concept_249",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_250": {
            "name": "Determine coterminal angles",
            "id": "concept_250",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_251": {
            "name": "Degree Measurement",
            "id": "concept_251",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_252": {
            "name": "Convert between degrees and radians",
            "id": "concept_252",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_253": {
            "name": "Pi (π) Concept",
            "id": "concept_253",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_254": {
            "name": "Proportional Reasoning",
            "id": "concept_254",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_255": {
            "name": "Find the length of a circular arc",
            "id": "concept_255",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_256": {
            "name": "Determine the area of a sector of a circle",
            "id": "concept_256",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_257": {
            "name": "Area Calculation",
            "id": "concept_257",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_258": {
            "name": "Define and use the unit circle",
            "id": "concept_258",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_259": {
            "name": "Understanding of π (Pi)",
            "id": "concept_259",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_260": {
            "name": "Radians and Degrees",
            "id": "concept_260",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_261": {
            "name": "Define sine and cosine functions using the unit circle",
            "id": "concept_261",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_262": {
            "name": "Periodic Functions",
            "id": "concept_262",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_263": {
            "name": "Use the domain and period to sketch graphs of sine and cosine functions",
            "id": "concept_263",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_264": {
            "name": "Understanding of Periodicity in Functions",
            "id": "concept_264",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_265": {
            "name": "Use sine and cosine functions to model real-life data",
            "id": "concept_265",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_266": {
            "name": "Define the tangent function",
            "id": "concept_266",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_267": {
            "name": "Concept of Slope",
            "id": "concept_267",
            "module": [
                78
            ],
            "params": {}
        },
        "concept_268": {
            "name": "Relationships between Sides of Right Triangles",
            "id": "concept_268",
            "module": [
                78
            ],
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            "name": "Define the reciprocal trigonometric functions",
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                78
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            "name": "Reciprocal Relationships",
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                78
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            "name": "Use right triangles to evaluate trigonometric functions",
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                78
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            "name": "Ratios and Proportions",
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                78
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                78
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            "name": "Use cofunctions of complementary angles",
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                78
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            "name": "Percentage Calculation",
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            "module": [
                79
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            "params": {}
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            "name": "Understanding of decimals and their relation to percentages",
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                79
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            "params": {}
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            "name": "Basic arithmetic operations with decimals",
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            "name": "Rounding",
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                79
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            "name": "Corresponding Angles",
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                79
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                79
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                79
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                79
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                79
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                79
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                79
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            "name": "Similar Triangles",
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                79
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            "params": {}
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                79
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            "id": "concept_308",
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                79
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                79
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                79
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                79
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            "params": {}
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                79
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                79
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                74
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                74
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            "params": {}
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                74
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            "params": {}
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            "params": {}
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                74
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            "params": {}
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                74
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            "params": {}
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            "module": [
                74
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            "params": {}
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                74
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            "module": [
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            "name": "Use interval notation",
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            "params": {}
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            "name": "Use properties of inequalities",
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            "params": {}
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                75
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            "params": {}
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            "params": {}
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            "name": "Graph a system of nonlinear inequalities",
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            "params": {}
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            "params": {}
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                78
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                78
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                78
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            "params": {}
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            "name": "Use double-angle formulas to find exact values",
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            "name": "Use half-angle formulas to find exact values",
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