Course 1 6 11-12 years 1 Exponents 2 Sequences Number Theory 3 Divisibility 4 Prime Factorization 5 Greatest Common Factor Fractions and Decimals 6 Comparing and Ordering Fractions 7 Comparing and Ordering Decimals 8 Adding and Subtracting Decimals 9 Adding and Subtracting Fractions with Like Denominators 10 Multiplying Decimals 11 Dividing by Decimals 12 Multiplying and Dividing Fractions 13 Changing Fractions to Decimals 14 Changing Terminating Decimals to Fractions Data Analysis 15 Mean, Median, and Mode 16 Stem-and-Leaf Plots 17 Histograms Geometry and Measurement 18 Measure and Classify Angles 19 Area of Triangles and Trapezoids 20 Area of Parallelograms
Course 2 7 12-13 years 1 Absolute Value 2 Squares and Square Roots Decimal System 3 Multiplying by Powers of Ten 4 The Metric System 5 Scientific Notation PreAlgebra 6 Writing Expressions 7 Plotting Points in the Cartesian Plane 8 Graphing Functions Fractions 9 Simplifying Fractions 10 Least Common Multiple 11 Adding and Subtracting Fractions with Unlike Denominators 12 Adding and Subtracting Mixed Numbers 13 Multiplying Fractions and Mixed Numbers 14 Dividing Fractions and Mixed Numbers 15 Changing Repeating Decimals to Fractions Probability 16 Simple Events 17 Sample Spaces 18 Permutations 19 Combinations 20 Independent Events Geometry and Measurement 21 Circles and Circumference 22 Area of Circles 23 Area of Composite Figures 24 Volume of Prisms
Course 3 8 13-14 years PreAlgebra 1 Multiplying and Dividing Integers 2 Solving and Graphing Inequalities 3 Ordered Pairs Exponents 4 Properties of Exponents 5 The Pythagorean Theorem Percents 6 Solving Proportions 7 Finding Percents 8 Percent Increase and Decrease 9 Simple Interest Geometry and Measurement 10 Coordinate Geometry 11 Congruence 12 Transformations 13 Symmetry 14 Volume of Prisms and Cylinders 15 Volume of Pyramids and Cones Data Analysis 16 Circle Graphs 17 Scatter Plots 18 Changing Repeating Decimals to Fractions Probability 19 Experimental Probability 20 Theoretical Probability 21 Independent and Dependent Events 22 Sample Spaces 23 Permutations 24 Combinations 25 Independent Events
Algebra I 9 14-15 years 1 Order of Operations 2 Adding and Subtracting Integers 3 Simplifying Square Roots Solving Linear Equations 4 Solving Equations by Addition and Subtraction 5 Solving Equations by Multiplication and Division 6 Solving Multi-Step Equations 7 Solving Equations with the Variable on Both Sides 8 Solving Formulas Ratio and Proportion 9 Ratios and Proportions 10 Percents 11 Percent of Change 12 Direct and Inverse Variation Graphing 13 Plotting Points in the Cartesian Plane 14 Relations 15 Functions Linear Equations 16 Graphing Linear Equations By Plotting Points 17 Slope 18 Point-Slope Form of the Equation of a Line 19 Slope-Intercept Form of the Equation of a Line 20 Graphing Linear Equations Using Slope and Intercept Polynomials 21 Multiplying Monomials 22 Adding and Subtracting Polynomials 23 Multiplying a Polynomial by Monomial 24 Multiplying Polynomials Factoring 25 Factoring Out the Greatest Common Factor 26 Factoring a Difference of Squares 27 Factoring Trinomials
Algebra II 11 16-17 years Functions 1 Translation of Graphs 2 Composition of Functions 3 Inverse Functions Exponential Functions 4 Negative and Rational Exponents 5 Graphs of Exponential Functions Logarithmic Functions 6 Inverses of Exponential Functions 7 Properties of Logarithms 8 Graphing Logarithmic Functions 9 Solving Exponential and Logarithmic Equations Quadratic Functions 10 Graphing Quadratic Functions in the Cartesian Plane 11 Factoring Quadratic Functions 12 Using the Quadratic Formula 13 Completing the Square to Find the Vertex of a Parabola Systems of Equations 14 Three Cases When Solving a Linear System in Two Variables 15 Solving Linear Systems of Equations in Two Variables 16 Solving Linear Systems of Equations in Three Variables 17 Solving Linear Systems with Matrices 18 Solving Word Problems with Systems of Equations 19 Graphing Linear Inequalities 20 Systems of Inequalities Polynomial Functions 21 Finding Zeros of Polynomial Functions Rational Functions 22 Finding Asymptotes of Rational Functions 23 Finding Intercepts of Rational Functions 24 Solving Rational Equations
Geometry 10 15-16 years Introductory Chapter 1 Points, Lines, and Planes 2 Segments, Midpoints, and Segment Congruence 3 Rays, Half Lines, and Angles Reasoning and Proof 4 Inductive Reasoning 5 Conditional Statements 6 Deductive Reasoning 7 Supplementary Angles and Vertical Angles Parallel Lines 8 Parallel Lines and Transversals 9 Angles Formed by a Transversal Intersecting Parallel Lines 10 Parallel Line Proofs Quadratic Functions 10 Graphing Quadratic Functions in the Cartesian Plane 11 Factoring Quadratic Functions 12 Using the Quadratic Formula 13 Completing the Square to Find the Vertex of a Parabola Triangles 14 Triangle Angles (Interior and Exterior Angles) 15 Triangle Congruence 16 Isosceles Triangles 17 Special Segments in Triangles 18 Inequalities for Sides and Angles of a Triangle 19 Inequalities Involving Two Triangles Quadrilaterals 20 Classifying Quadrilaterals Similar Triangles 21 Similar Triangles and Proportions 22 Similar Triangle Theorems 23 Parallel Lines and Similar Triangles 24 Similarity among Right Triangles
Teams: Euclids Eulers Newtons Noethers Hilberts Hoppers