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Book 1 Contents — Lesson Alignment

1. What Does the Data Say?
   • Phase One: Measures of Central Tendency
     • Mean, Median, Mode, Range, Frequency Graphs
   • Phase Two: Representing and Analyzing Data
     • Bar Graphs, Double Bar Graphs
   • Phase Three: Progress Over Time
     • Broken Line Graphs
   • Phase Four: Probability and Sampling
     • Experimental Probability, Theoretical Probability, Chance, Samples
2. The Language of Numbers
   • Phase One: Mystery Device
     • Number Systems, Number Symbols, Arithmetic Expressions, Number Words
   • Phase Two: Chinese Abacus
     • Equivalent Expressions, Additive Systems, Place Value
   • Phase Three: Number Power
     • Different Base Systems, Exponents
3. From Zero to One and Beyond
   • Phase One: Fractions from Zero to One
     • Fractions, Equivalent Fractions, Inequalities
   • Phase Two: Percents from Zero to One
     • Percents, Fraction/Percent Equivalence, Pie Chart
   • Phase Three: Decimals From Zero to One
     • Fraction/Decimal/Percent Equivalence, Repeating Decimals
   • Phase Four: Beyond Zero and One
     • Improper Fractions, Mixed Numbers, Negative Numbers, Square Roots, Perfect Squares, Exponents
4. Designing Spaces
   • Phase One: Visualizing and Representing Cube Structures
     • Faces of a Cube, Isometric Drawings, Orthogonal Drawings
   • Phase Two: Functions and Properties of Shapes
     • Polygons, Angles, Regular Shapes, Perimeter, Area
   • Phase Three: Visualizing and Representing Polyhedrons
     • Polyhedron, Properties of Polyhedron
5. Number Powerhouse
   • Phase One: Integer Power
     • Estimation, Order of Operations, Adding and Subtracting Integers
   • Phase Two: Fraction Power
     • Adding and Subtracting Fractions, Multiplying Fractions, Dividing Fractions, Operations with Mixed Numbers
   • Phase Three: Decimal and Percent Power
     • Decimal Addition and Subtraction, Percent of a Number
6. Gulliver's Worlds
   • Phase One: Brobdingnag
     • Scale Factor, Ratios, Rescaling, Scale Drawing
   • Phase Two: Lilliput
     • Measurement Units, Volume
   • Phase Three: Lands of the Large and Lands of the Little
     • Volume, Equivalence
7. Patterns in Numbers and Shapes
   • Phase One: Describing Patterns Using Tables
     • Patterns, Pattern Rules
   • Phase Two: Describing Patterns Using Variables and Expressions
     • Variables, Expressions, Algebraic Notation
   • Phase Three: Describing Patterns Using Graphs
     • Coordinate Plane, Point, Ordered Pair
   • Phase Four: Finding and Extending Patterns
     • Problem Solving, Graphs