2012-2013 Math Content PATHWAY TO ALGEBRA I Unit Lesson Section Place Value with Whole Numbers Place Value and Rounding Addition and Subtraction Concepts Regrouping Concepts Add and Subtract within 1,000 Multiply by Multiples of Ten Understand and Use Place Value Round Whole Numbers Platform Add and Subtract Whole Numbers Properties of Multiplication and Division Number and Operations in Base Ten Multiply Whole Numbers Divide Whole Numbers Decimal Notation Compare Decimals Fraction and Decimal Equivalents Place Value Multiply and Divide Whole Numbers Operations with Whole Numbers Decimals to Thousandths Foundation Add and Subtract Decimals Multiply and Divide Decimals Operations with Decimals 2 | PAG E thinkthroughmath.com Unit Lesson Section Concept of Area Area of Rectangles Perimeter Measurement and Data Platform Area and Perimeter of Rectangles Angles Volume of Rectangular Prisms Foundation Line Plots Estimate Sums and Differences Concept of Multiplication Properties of Addition and Multiplication Concept of Division Relationship Between Multiplication and Division Solve Multiplication and Division Equations Platform Multiplication and Division Word Problems Operations and Algebraic Thinking Solve Two-Step Word Problems Describe Patterns Interpret Remainders Relate Factors and Multiples I Relate Factors and Multiples II Use Addition and Subtraction Expressions Arithmetic Sequences: Closed Form Foundation Geometric Sequences: Closed Form Arithmetic Sequences: Recursive Form Geometric Sequences: Recursive Form 3 | PAG E Algebra Prep thinkthroughmath.com Unit Lesson Section Understand Fractions I Unit Fractions on the Number Line Fractions on the Number Line Equivalent Fractions I Whole Numbers as Fractions Compare Fractions I Equivalent Fractions II Compare Fractions II Platform Decompose Fractions and Mixed Numbers Add and Subtract Fractions with Like Denominators Add and Subtract Mixed Numbers with Like Denominators Word Problems with Fractions and Mixed Numbers Number and Operations – Fractions Multiply Unit Fractions by Whole Numbers Multiply Fractions by Whole Numbers Add Fractions with Denominators of 10 or 100 Compare Decimal Fractions Understand Fractions II Equivalent Fractions III Compare Rational Numbers Add Fractions Subtract Fractions Multiply Fractions Foundation Operations with Fractions I Add and Subtract Fractions Multiply and Divide Fractions II Operations with Fractions II 4 | PAG E thinkthroughmath.com Unit Lesson Section Classify Quadrilaterals II Platform Classify Triangles Rational Numbers in the Coordinate Plane Area of Parallelograms Area of Triangles Foundation Area of Trapezoids and Composite Figures Plot Points Distance on the Coordinate Plane Area of Composite Figures Surface Area and Volume of Rectangular Prisms Surface Area of Pyramids Circumference Area of Circles Surface Area of Cylinders Surface Area of Cones Surface Area of Spheres Surface Area of Composite Solids Geometry Angle Pairs Angles in a Polygon Volume of Cylinders Volume of Pyramids and Cones Volume of Spheres Volume of Composite Solids Algebra Prep Parallel Lines and Transversals Pythagorean Theorem: Hypotenuse Pythagorean Theorem: Legs Pythagorean Theorem: Mixed Problems Pythagorean Theorem: Distance Formula Translations Reflections Rotations Composition of Transformations Trigonometric Ratios: Side Measure Trigonometric Ratios: Angle Measure Parallel and Perpendicular Lines 5 | PAG E thinkthroughmath.com Unit Lesson Section Greatest Common Factor Least Common Multiple The Number System Foundation Integer Concepts Add and Subtract Rational Numbers Multiply and Divide Rational Numbers Operations with Rational Numbers Algebra Prep Ratios Find Unit Rates Convert Units of Measure Distance, Rate, and Time I Foundation Distance, Rate, and Time II Percent Concepts Ratio and Proportion Fraction, Decimal, and Percent Equivalents Calculations with Percent Interpret Unit Rates on Graphs Use Proportions to Solve Problems Similar Figures Percent and Percent Change Algebra Prep Evaluate: Simple Interest Solve: Simple Interest Measures of Center: Median Measures of Center: Mean Measures of Spread: Range Circle Graphs Foundation Bar Graphs and Histograms Statistics and Probability Stem-and-Leaf Plots Box Plots Quartiles Simple Probability Compound Probability Making Predictions Algebra Prep Odds 6 | PAG E thinkthroughmath.com Unit Lesson Evaluate Expressions: One Step Exponents I Section Foundation Evaluate Expressions: Two Steps Evaluate Expressions: Distributive Property Identify One-Step Equations Combine Like Terms Solve Two-Step Equations Solve Equations: Distributive Property Temperature Conversion Literal Formulas Expressions and Equations Common Factors in Polynomials Solve Equations with Like Terms Algebra Prep Solve Equations with the Variable on Both Sides Exponents II Square and Cube Roots Scientific Notation Solve a System of Linear Equations Graphically Solve a System of Linear Equations Algebraically Simplify Monomials Language of Algebra Concept of Inequalities Algebra Factor Expressions Slope Functions Slope-Intercept Form Point-Slope Form Use the Quadratic Formula Algebra Prep Algebra Prep Solve Equations: One Variable Reasoning with Equations and Inequalities Solve One-Step Equations Solve Multistep Equations Inequalities Algebra Graph Inequalities Solve Systems of Equations 7 | PAG E thinkthroughmath.com Unit Lesson Section Write Equations: One Variable Creating Equations Write Equations: Two or More Variables Solve Word Problems with Algebra Algebra Solve Literal Equations Building Functions Direct Variation Algebra Interpret Graphs of Real-World Situations Sketch Graphs of Real-World Situations Graphs of Real-World Functions Slope and Rate of Change Interpreting Functions Graph Linear Equations Algebra Equations in Slope Form Radical Functions and Their Graphs Rational Functions and Their Graphs Function Notation Concept of Multiplying Polynomials Seeing Structure in Expressions Algebra Prep Simplify Algebraic Expressions Evaluate Expressions with Real Numbers Algebra Factor Polynomials Arithmetic with Polynomials and Rational Expressions Linear, Quadratic, and Exponential Models 8 | PAG E Add and Subtract Polynomials Multiply and Divide Monomials Algebra Multiply Polynomials Graphs of Quadratic Functions Problem Solving with Quadratic Functions Algebra Graphs of Exponential Functions thinkthroughmath.com 925 Liberty Avenue, Floor 3 Pittsburgh, PA 15222 thinkthroughmath.com info@thinkthroughmath.com 866.357.8664