skills_2 = {
    "Arithmetic Operations": {
        1: ["whole numbers", "ordering", "number line"],
        2: ["integers"],
        3: ["decimals"],
        4: ["order of operations"]
    },
    "Fractions Decimals Percents": {
        1: ["equivalent fractions", "conversion"],
        2: ["fraction", "decimal"],
        3: ["mixed fractions"],
        4: ["percent", "ratio", "rate"]
    },
    "Algebra Basics": {
        1: ["expression", "terms"],
        2: ["like terms", "distributive"],
        3: ["simplifying"],
        4: ["polynomial"]
    },
    "Equations and Inequalities": {
        1: ["one step", "two step"],
        2: ["solving"],
        3: ["multi", "more than two"],
        4: ["inequality"]
    },
    "Linear Functions": {
        1: ["pattern", "table"],
        2: ["slope"],
        3: ["graph"],
        4: ["write linear equation", "from situation"]
    },
    "Systems of Equations": {
        3: ["graphing"],
        4: ["substitution", "system"]
    },
    "Geometry": {
        1: ["angles", "triangle", "polygon"],
        2: ["perimeter", "area"],
        3: ["volume"],
        4: ["surface area", "3d"]
    },
    "Statistics": {
        1: ["mean", "median", "mode"],
        2: ["range"],
        3: ["plot", "histogram"],
        4: ["scatter", "sampling"]
    },
    "Probability": {
        1: ["single"],
        2: ["venn"],
        3: ["two"],
        4: ["combinatorics", "counting"]
    },
    "Advanced Algebra": {
        2: ["factoring"],
        3: ["quadratic"],
        4: ["quadratic formula"]
    }
}

skills = [
    "Arithmetic Operations",
    "Fractions Decimals Percents",
    "Number Theory",
    "Algebra Basics",
    "Equations and Inequalities",
    "Linear Functions",
    "Systems of Equations",
    "Geometry",
    "Statistics",
    "Probability",
    "Transformations",
    "Coordinate Geometry"
    "Advanced Algebra"
]