1. By TOPICS (5) 2. By GRADE (2 to 11) 1. Arithmetic 1: Follow patterns Add, subtract, and multiply Intro to division Add and subtract Multiply Divide Create fractions Compare fractions Rounding Decimals Fraction operations Negatives Compare ratios Factors Factors and multiples Greatest common factor with fractions Place value 2. Arithmetic 2: Find connections Build number sense Exponents and fractions Exponents Find equivalent ratios and fractions Part-to-whole ratios Fractions, decimals, and percents Round and compare numbers Exponent operations Exponents and place value Negative number operations Negative and positive decimals Magnitude Compare decimals Rational numbers Rational number operations Round decimals Round fractions and decimals 3. Geometry: Coordinate grid Absolute value and distance Translations Scale drawings Circles Angle relationships Translations of the plane Reflections of the plane Rotations of the plane Congruence Dilations and similarity Symmetry Angles with parallel lines Triangles The Pythagorean theorem Sine ratio Cosine ratio Tangent ratio Similar triangles and angles Sine function Cosine function Tangent function Graph sine and cosine 4. Algebra: Operations in equations Algebraic equations Equations using all operations Equations with coefficients Equations with fractions and decimals Distributive property and equivalency One-variable equations Inequalities Rewrite and evaluate expressions Two-step equations Two-step inequalities Solve linear equations One-variable linear inequalities Rewrite polynomial expressions Factor quadratic expressions Geometric sequences Logarithms Product and quotient rules Properties of logarithms Solve logarithmic and exponential equations 5. Algebraic Graphing: Graphing relationships Graphs of proportional relationships Slope Slope of lines Slope-intercept lines One-variable linear equations Intro to functions Linear functions Function notation Rate of change Linear functions Inverse linear functions Piecewise-defined functions Two-variable linear inequalities Intro to quadratic functions Quadratic graphs and equations Factored form of quadratics Vertex form of quadratics Systems of equations with quadratics Intro to exponential functions Exponential graphs and equations Exponential growth and decay Function translations Function scaling Reflections of functions Polynomial function equations Rational function equations and graphs Exponential function representations Geometric sequences Step and absolute value functions Polynomial function graphs Exponential rate of change Logarithmic functions Logarithmic function graphs Polynomial graphs and roots Rational function asymptotes Holes and slant asymptotes Properties of functions Exponent and logarithm properties Exponentials and logarithms as inverses ============================================ Grade 2: Number patterns Intro to addition and subtraction Add and subtract multiple numbers Add and subtract up to 500 Grade 3: Number sense and fractions Intro to multiplication Intro to division Multiply 1-digit numbers Multiply large numbers Multiply and divide Intro to fractions Equivalent fractions Compare fractions Rounding and magnitude Rounding with operations Grade 4: Operational thinking Intro to factors Multiply and divide whole numbers Intro to least common multiple Order of operations Rounding Multiply and divide large numbers Compare equivalent fractions Simplify fractions Intro to fraction operations Intro to decimals Fractions and decimals Grade 5: Operations and decimals Intro to exponents Distributive property Place value Compare decimals Multiply and divide numbers Add and subtract decimals Multiply and divide decimals Fraction operations Compare and operate on fractions Plot points Grade 6: Multiplication patterns Intro to ratios Equivalent ratios Percents Parts of wholes Rates and equivalent rates Unit rates Negative numbers Absolute value Coordinate plane Find distance Find side lengths Fraction division Greatest common factor Least common multiple Algebraic expressions Operations with decimals Exponents Exponent operations Distributive property and equivalency One-variable equations Inequalities Polygon area Translations Grade 7: Ratios and algebra Equivalent ratios Rates and unit rates Proportions applications Represent rational numbers Rewrite and evaluate expressions Two-step equations Two-step inequalities Add and subtract negatives Multiply and divide negatives Negative number operations Negative decimal operations Circles Angle relationships Intro to probability Probability models Compound events Grade 8: Equations and graphing Equations and coordinates Graphs of proportional relationships Slope Slope of lines Slope-intercept lines One-variable linear equations Intro to functions Linear functions Product rule Quotient rule Negative exponents Zero exponent rule Roots Irrational Numbers Scientific notation Translations of the plane Reflect across axes Reflect across lines Rotations of the plane Congruence Dilations and similarity Angles with parallel lines Triangles The Pythagorean theorem Bivariate data Linear models Bivariate categorical data Grade 9: Graphs and expressions Graphs and expressions Solve linear equations One-variable linear inequalities Compound inequalities Function notation Rate of change Linear functions Inverse linear functions Piecewise-defined functions Functions and sequences Two-variable linear equations Graph systems of linear equations Two-variable linear inequalities Exponent properties Radicals Add and subtract radicals Different radicands Radical properties Rewrite polynomial expressions Factor quadratic expressions Intro to quadratic functions Quadratic graphs and equations Factored form of quadratics Vertex form of quadratics Systems of equations with quadratics Geometric sequences Intro to exponential functions Exponential graphs and equations Exponential growth and decay Function translations Function scaling Bivariate data Linear model fitness Bivariate categorical data Grade 10: Geometric relationships Sine ratio Cosine ratio Tangent ratio Pythagorean theorem Line segments Reflections Rotations Symmetry Congruence Dilations Similarity Similar triangles and angles Permutations and combinations Equations of lines Grade 11: Algebra and graphs Function models Polynomial arithmetic Polynomial function equations Rational function equations and graphs Exponential function representations Geometric sequences Translations of functions Reflections of functions