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Pre-Algebra — Knowledge Map

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Subtracting a Positive Number From a Smaller… Subtracting a Positive Number From a Negative… Multiplying Positive Numbers With Negative… Multiplying and Dividing With Zero Divisibility of Integers by 2, 5, 10, 4, and 8 Natural Numbers, Integers, and Rational Numbers Prime and Composite Numbers Introduction to Ratios Understanding Percentages Using Models Introduction to Algebraic Expressions The Cartesian Coordinate System Units of Area and Volume Points, Lines, Rays, and Segments Introduction to Statistics Subtracting a Positive Decimal From a Smaller… Subtracting a Positive Fraction From a Smaller… Multiplying Negative Numbers Divisibility of Integers by 3, 9, 6, and 7 Equivalent Ratios Converting Between Percentages and Fractions Converting Between Percentages and Decimals Constructing Algebraic Expressions Distances Between Points in the Coordinate Plane Collinear Points Polygons Angles and Measures of Angles The Mode of a Data Set Outliers Frequency Tables Adding a Positive Number to a Negative Number Adding a Negative Number Subtracting a Positive Fraction from a Negativ… Dividing With Negative Numbers Squaring Rational Numbers Writing Ratios Using Fractions Prime Factors Finding Part of a Number Given a Whole and a… Identifying Terms in Linear Expressions Inequalities Absolute Value Distance Between Two Points Angle Measurement in Degrees Measuring Angles Using a Protractor Sums of Angles Adjacent Angles Connecting Angles and Circles Right, Straight, Full, and Null Angles Dot Plots Subtracting a Negative Number Equivalent Fractions With Negative Numbers Cubing Rational Numbers Reasoning With Equivalent Ratios Ratio Tables Unit Rates Prime Factorization The Fundamental Theorem of Arithmetic The Square Root of a Number Finding a Percentage Given Two Numbers Finding a Total Given a Part and a Percentage Applying Percentages in Succession Applying Percentage Increases Identifying Coefficients and Constants The Mean of a Data Set Compound Inequalities Converting Angles and Circles Parallel and Perpendicular Lines Right, Straight, Flat, and Reflex Angles Acute, Obtuse, and Reflex Angles Representing Data Using Dot Plots Additive Inverses Solving Problems Using Addition and Subtractio… Dividing With Negative Decimals and Fractions Exponents with Rational Bases Further Reasoning With Equivalent Ratios Graphing Ratios Solving Problems Using Unit Rates Unit Rates Associated With Ratios of Fractions Applying the Distributive Law With Linear… Measure of Line Segments Finding Greatest Common Factors Using Prime… Finding Lowest Common Multiples Using Prime… Mean Absolute Deviation Squaring a Square Root Square Roots Finding a Percentage Given Two Numbers: Word Problems Applying Subsequent Percentages The Triangle Inequality Identifying Like Terms in Linear Expressions The Median of a Data Set Angles, Perpendicular Lines, and Parallel Lines Acute, Obtuse, and Right Angles Real-World Addition and Subtraction Evaluating Rational Number Expressions Reciprocals of Rational Numbers Divide Fractions by Fractions With Negatives The Zeroth Power The Power of Product Rule for Exponents The Power of Quotient Rule for Exponents Speed as a Unit Rate (#3593) Solving Unit Rate Problems Using Ratios of Fractions The Cube Root of a Perfect Cube The Distributive Law With Three Terms Collecting Like Terms in Linear Expressions Congruent Segments Factoring Numerical Expressions The Greatest Common Factor of Two Linear Expressions Applying Percentage Decreases Histograms Comparing Data Sets Using Measures of Centrality Measuring Centrality From Dot Plots Range, Quartiles, and IQR Finding the Middle of a Data Set Solving Problems Using Multiplication and… Fraction of Fractions Evaluating Expressions With Positive Integer… Powers of Negative One Evaluating Linear Expressions The Power of a Product Rule for Exponents Surds Simplifying Linear Expressions Using the… Distributing the Negative Sign in a Linear… Percentage Change Classifying Quadrilaterals Removing Outliers Comparing Data Distributions Using… Measuring Range and MAD From Dot Plots Measuring Quartiles and IQR from Dot Plots Box Plots Negative Exponents Evaluating Rational Expressions Solving Linear Equations by Trial and Error Simplifying Expressions With Surds The Product Rule for Radicals The Quotient Rule for Radicals Simplifying Linear Expressions Containing… Simplifying Linear Expressions When a Grou… Verifying Solutions of Linear Inequalities Factoring Linear Expressions Symmetry, Skew, and Outliers Comparing Data Sets Using Range and Quartiles The Product Rule for Exponents Evaluating Expressions With Integer Exponents Solving One-Step Multiplication and… Adding and Subtracting Radicals Rationalizing Denominators Solving One-Step Addition and Subtraction Equations Simplifying Linear Expressions: Minus Signs Comparing Data Set Visualizations Using… Comparing Measures of Center The Quotient Rule for Exponents Radicals as Fractional Exponents Writing Numbers in Scientific Notation Solving Two-Step Equations Evaluating Numerical Expressions Containing… Understanding Proportional Relationships Using Tables Solving One-Step Inequalities Finding Original Values From Percentage Increas… Comparing Distributions Using Statistical Measures Comparing Data Sets Using Standard Deviation and MAD Comparing Data Distributions Comparing Measures of Spread Finding Original Values From Percentage Decreases Converting Scientific Notation to Standard… Comparing Numbers in Scientific Notation Multiplying Numbers in Scientific Notation Solving Linear Equations With Fractional… Combining the Rules of Exponents Solving Linear Equations With Decimal Coefficients Evaluating Radical Expressions Solving Two-Step Inequalities Identifying Proportional Relationships Constant of Proportionality Understanding Proportional Relationships From… Two-Variable Linear Equations and Their… Understanding Proportional Relationships Using Graphs Addition and Subtraction in Scientific Notation Comparing Data Using Measures of Variability Dividing Numbers in Scientific Notation Addition in Scientific Notation With Different… Solving Linear Equations With Variables on Both… Writing and Solving Proportional Equations Representing Solutions to Inequalities on Number… Proportional Relationships in the Real World Graphing Linear Equations Adding and Subtracting in Scientific Notation Subtraction in Scientific Notation With Different… Linear Equations With Infinitely Many Solutio… Linear Equations With No Solutions Equations of Horizontal and Vertical Lines Introduction to Systems of Linear Equations Solving Linear Equations by Clearing Rational… Congruent Angles Further Addition in Scientific Notation wit… Calculating Slopes of Straight Lines Solving Linear Inequalities Solving Linear Equations Using Cross-Multiplication Midpoints Interior Angles of Triangles Vertical Angles Further Addition in Scientific Notation Wit… Computing Slope of Straight Lines Solving Inequalities Solving Two-Variable Equations The Segment Addition Postulate Interior Angles of Polygons Classifying Triangles Segment Bisectors and the Perpendicular Bisector… Solving Problems With Angles Equations of Lines in Slope-Intercept Form Solving Systems of Equations by Substitution Heights of Triangles Complementary Angles Supplementary Angles The Perimeter of a Polygon Corresponding Angles Properties of Line Graphs in Slope-Intercept Form Angle Bisectors Properties of Trapezoids Exterior Angles of Triangles The Isosceles Triangle Theorem Congruent Polygons Non-Adjacent Complementary Angles Alternate Angles Exterior Angles of Polygons Properties of Rectangles and Squares Congruent Triangles Consecutive Angles Angle Criteria for Parallel Lines Problem Solving With Angles of Triangles Area of Rectangles and Squares Regular Polygons Area of Parallelograms Area of Triangles Area of Trapezoids Areas of Composite Shapes The Area Between Two Shapes