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PRE-ALGEBRA
UNIT ONE: ALGEBRA & INTEGERS
Chpt 1- The Tools of Algebra
-Using a Problem Solving Plan
-Numbers and Expressions
-Variables and Expressions
-Properties
-Variables and Equations
-Ordered Pairs and Relations
-Scatter Plots
Chpt 2- Integers
-Integers and Absolute Value
-Adding Integers
-Subtracting Integers
-Multiplying Integers
-Dividing Integers
-The Coordinate System
Chpt 3- Equations
-The Distributive Property
-Simplifying Algebraic Expressions
-Use + or - to Solve Equations
-Use x or / to Solve Equations
-Solving Two-Step Equations
-Writing Two-Step Equations
-Using Formulas
UNIT TWO: ALGEBRA & RATIONAL NUMBERS
Chpt 4- Factors & Fractions
-Factors and Monomials
-Powers and Exponents
-Prime Factorization
-Greatest Common Factor (GCF)
-Simplifying Algebraic Fractions
-Multiplying and Dividing Monomials
-Negative Exponents
-Scientific Notation
Chpt 5- Rational Numbers
-Writing Fractions as Decimals
-Rational Numbers
-Multiplying Rational Numbers
-Dividing Rational Numbers
-Adding and Subtracting Like Fractions
-Least Common Multiple (LCM)
-Adding and Subtracting Unlike Fractions
-Measures of Central Tendency
-Solving Equations with Rational Numbers
-Arithmetic and Geometric Sequences
Chpt 6- Ratio, Proportion, & Percent
-Ratios and Rates
-Using Proportions
-Scale Drawings and Models
-Fractions, Decimals, and Percents
-Using the Percent Proportion
-Finding Percents Mentally
-Using Percent Equations
-Percent of Change
-Probability and Predictions
UNIT THREE: LINEAR EQUATIONS, INEQUALITIES, & FUNCTIONS
Chpt 7- Equations & Inequalities
-Solving Equations with Variables on Each Side
-Solving Equations with Grouping Symbols
-Inequalities
-Use + or - to Solve Inequalities
-Use x or / to Solve Inequalities
-Solving Multi-Step Inequalities
Chpt 8- Functions & Graphing
-Functions
-Linear Equations in Two Variables
-Graphing Linear Equations Using Intercepts
-Slope
-Rate of Change
-Slope-Intercept Form
-Writing Linear Equations
-Best-Fit Lines
-Solving Systems of Equations
-Graphing Inequalities
UNIT FOUR: APPLYING ALGEBRA TO GEOMETRY
Chpt 9- Real Numbers & Right Triangles
-Squares and Square Roots
-The Real Number System
-Angles
-Triangles
-The Pythagorean Theorem
-The Distance and Midpoint Formulas
-Similar Triangles and Indirect Measurement
-Sine, Cosine, and Tangent Ratios
Chpt 10- Two-Dimensional Figures
-Line and Angle Relationships
-Congruent Triangles
-Transformations on the Coordinate Plane
-Quadrilaterals
-Area: Parallelograms, Triangles, Trapezoids
-Polygons
-Circumference and Area: Circles
-Area: Irregular Figures
Chpt 11- Three-Dimensional Figures
-Three-Dimensional Figures
-Volume: Prisms and Cylinders
-Volume: Pyramids and Cones
-Surface Area: Prisms and Cylinders
-Surface Area: Pyramids and Cones
-Similar Solids
-Precision and Significant Digits
UNIT FIVE: EXTENDING ALGEBRA TO STATISTICS & POLYNOMIALS
Chpt 12- More Statistics & Probability
-Stem and Leaf Plots
-Measures of Variation
-Box and Whisker Plots
-Histograms
-Misleading Statistics
-Counting Outcomes
-Permutations and Combinations
-Odds
-Probability and Compound Events
Chpt 13- Polynomials & Nonlinear Functions
-Polynomials
-Adding Polynomials
-Subtracting Polynomials
-Multiplying a Polynomial by a Monomial
-Linear and Nonlinear Functions
-Graphing Quadratic and Cubic Functions
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