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Topics Covered by Infinite Pre-Algebra

 Infinite Pre-Algebra covers all typical Pre-Algebra material, over 90 topics in all, from arithmetic to equations to polynomials. Suitable for any class which is a first step from arithmetic to algebra. Designed for all levels of learners from remedial to advanced.

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Comparison of topics in each program

Common Core alignment

 Whole numbers Naming decimal places Reading and writing whole numbers Rounding whole numbers Adding and subtracting whole numbers Multiplying and dividing whole numbers Decimals Naming decimal places Reading and writing decimal numbers Rounding decimal numbers Adding and subtracting decimal numbers Multiplying and dividing decimal numbers Fractions and Mixed Numbers Factoring Greatest common factor (GCF) Least common multiple (LCM) Simplifying fractions Changing between fractions and decimals Adding and subtracting fractions / mixed numbers with like / unlike denominators Multiplying and dividing fractions / mixed numbers Algebraic Expressions and Integers Variables and expressions The order of operations Evaluating expressions Adding integers Subtracting integers Multiplying and dividing integers The distributive property Simplifying variable expressions Equations Solving one-step equations by adding or subtracting integers / decimals / fractions Solving one-step equations by multiplying or dividing integers / decimals / fractions One-step equation word problems Solving two-step equations containing integers / decimals / fractions Two-step equation word problems Solving multi-step equations containing integers / decimals / fractions with variables on one or both sides Inequalities Inequalities and their graphs Solving one-step inequalities by adding or subtracting integers / decimals / fractions Solving one-step inequalities by multiplying or dividing integers / decimals / fractions Solving two-step inequalities containing integers / decimals / fractions Solving multi-step inequalities containing integers / decimals / fractions with variables on one or both sides Factors, Fractions, and Exponents Divisibility, factors, and factoring Exponents and multiplication (the product property of exponents) Exponents and division (the quotient property of exponents) Powers of products and quotients Reading and writing scientific notation Multiplying numbers in scientific notation Ratios, Proportions, and Percents Checking if fractions form a proportion Solving proportions Proportion word problems Similar figures Similar figure word problems Converting between fractions, decimals, and percents Percent word problems Percent of change Markup, tax, and discount Simple and compound interest Linear Equations, Inequalities, and Systems Plotting points The midpoint formula Finding slope Slope-intercept form Standard form of a linear equation Writing linear equations Graphing linear inequalities Graphing systems of equations Solving systems of equations by substitution Systems of equations word problems Geometry Drawing and measuring angles Angle relationships and parallel lines Triangles (classifying, using angle sum) Quadrilaterals (classifying, using angle sum) Transformations: Rotations Transformations: Translations Transformations: Reflections Circles (circumference, area, radius, diameter, measuring) Area of parallelograms Area of triangles and trapezoids Solid Figures Classifying solids Volume of prisms and cones Volume of pyramids, cones, and spheres Surface area of prisms and cones Surface area of pyramids, cones, and spheres Right Triangles Square roots The Pythagorean Theorem The distance formula Polynomials Adding and subtracting polynomials Multiplying a polynomial and a monomial Multiplying binomials Statistics Mean, median, mode, range Quartiles, interquartile range Mean absolute deviation Dot plots Stem-and-leaf plots Box-and-whisker plots Bar graphs Line graphs Frequency tables Scatter plots Correlations Finding linear regressions Understanding and applying statistical models (linear)

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