•  Pre Algebra 8 NUMBERS AND OPERATIONS Distinguish between rational and irrational numbers using their properties Estimate irrational numbers by comparing them to rational numbers ALGEBRAIC CONCEPTS Apply concepts of radicals and integer exponents to generate equivalent expressions Understand the connections between proportional relationships, lines, and linear equations Analyze and solve linear equations and pairs of simultaneous linear equations Define, evaluate, and compare functions Use concepts of functions to model relationships between quantities GEOMETRY Apply the concepts of volume of cylinders, cones, and spheres to solve real-world and mathematical problems Understand and apply congruence, similarity, and geometric transformations using various tools Understand and apply the Pythagorean Theorem to solve problems MEASUREMENT, DATA, AND PROBABILITY Analyze and/or interpret bivariate data displayed in multiple representations Understand that patterns of association can be seen in bivariate data utilizing frequencies Algebra 1 PRE-ALGEBRAIC SKILLS Pre-Algebraic Skills NUMBERS, NUMBER SYSTEMS AND NUMBER RELATIONSHIPS Number relationships Proportional thinking Exponents Simplifying polynomials Factoring polynomials ALGEBRA AND FUNCTIONS Expressions Solving equations Solving inequalities Functions Sequence and series Writing linear equations Graphing linear equations Systems of linear equations Systems of linear inequalities Quadratic equations COMPUTATION AND ESTIMATION Radical expressions and equations Rational expressions and equations PROBABILITY AND PREDICTIONS Probability STATISTICS AND DATA ANALYSIS Data analysis Graphs GEOMETRY Parallel and perpendicular lines