Pre-Algebra

Place value. Rounding whole numbers. Regrouping whole numbers. Order of operations. Arithmetic properties. Distributive properties. Rational and irrational numbers.

Divisibility tests. Factors and multiples. Prime numbers. Prime factorization. Least common multiple. Greatest common factor.

Representing data. Stem and leaf plots. Picture graphs, bar graphs and histograms. Frequency tables and dot plots. Number patterns.

Fractions introduction. Fractions on the number line. Equivalent fractions. Comparing fractions. Common denominators. Decomposing fractions. Adding and subtracting fractions with like denominators. Mixed numbers. Adding and subtracting fractions with unlike denominators. Adding and subtracting mixed numbers with unlike and like denominators. Adding and subtracting fractions word problems. Multiplying whole numbers and fractions. Multiplication as scaling. Multiplying fractions. Multiplying mixed numbers. Multiplying fractions word problems. Fractions as divisions. Dividing unit fractions by fractions. Dividing fractions word problems.

Introduction to decimals. Decimals on the number line. Rounding and comparing decimals. Rewriting decimals as fractions. Adding and subtracting decimals. Adding and subtracting decimal word problems. Multiplying and dividing decimals.

Introduction to negative numbers. Order negative numbers. Number opposites. Absolute value. Introduction to adding negative numbers. Adding and subtracting negative numbers. Introduction to subtracting negative numbers. Multiplying and dividing negative numbers. Coordinate plane.

Introduction to ratios. Visualize ratios. Ratio application. Introduction to rates and percentages. Percent, fraction and decimal conversions. Percent problems. Percent word problems. Constant of proportionality. Identifying proportional relationships. Writing and solving proportions.

Introduction to variables. Substitution and evaluating expressions. Expression value intuition. Constructing numeric expressions. Evaluating expression word problems. Writing algebraic expressions introduction. Writing basic algebraic expression word problems. Algebraic equation basics. One-step equations intuition. One-step addition and subtraction equations. One-step multiplication and division equations. One-step equation word problems. Inequalities. Greater than and less than basics. Two-step equation introduction. Dependent and independent variables.

Exponents. Square roots. Cube roots. Exponents properties. Negative exponents. Scientific notation. Orders of magnitude. Computing with scientific notation.

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Pre-Algebra﻿