CHAPTER 1 - MAKING SENSE OF THE WORLD OF DATA
Communicating with Data
- Interpreting Graphs
- Making Bar Graphs
- Line Plots and Stem-and-Leaf Diagrams
- Mean, Median, Mode, and Range
Trends and Relationships in Data
- Line Graphs
- Scatterplots and Relationships
- Trend Lines
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CHAPTER 2 - THE LANGUAGE OF ALGEBRA: FORMULAS, EXPRESSIONS, AND EQUATIONS
Formulas
- Formulas and Variables
- Order of Operations
- Formulas and Tables
Expressions and Equations
- Inverse Operations
- Translating Words to Expressions
- Solving Addition and Subtraction Equations
- Solving Multiplication and Division Equations
- Problem Solving with Two-Step Equations
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CHAPTER 3 - NUMBER SENSE: DECIMALS AND FRACTIONS
Decimal Concepts: Estimating and Solving Equations
- Place Value: Comparing and Ordering Decimals
- Estimating by Rounding
- Problem Solving: Sums and Differences in Decimals
- Problem Solving: Products and Quotients of Decimals
- Powers of 10 and Scientific Notation
Fraction Concepts
- Divisibility and Prime Factorization
- GCF and LCM
- Equivalent Fractions and Lowest Terms
- Comparing and Ordering Fractions
- Converting Between Fractions and Decimals
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CHAPTER 4 - OPERATIONS WITH FRACTIONS
Sums and Differences of Fractions
- Estimating: Fractions and Mixed Numbers
- Adding and Subtracting Fractions
- Adding and Subtracting Mixed Numbers
Products and Quotients of Fractions
- Multiplying Fractions
- Multiplying Mixed Numbers
- Dividing Fractions and Mixed Numbers
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CHAPTER 5 - GEOMETRY AND MEASUREMENT
Geometric Figures
- Angles
- Parallel and Perpendicular Lines
- Triangles and Quadrilaterals
- Polygons
- Perimeter and Area
Geometric Formulas
- Squares and Square Roots
- The Pythagorean Theorem
- Areas of Triangles
- Areas of Parallelograms and trapezoids
- Problem Solving: Areas of Irregular Figures
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CHAPTER 6 - RATIOS, RATES, AND PROPORTIONS
Ratios and Rates
- Exploring and Estimating Ratios
- Exploring and Estimating Rates
- Equivalent Ratios and Rates
- Using Tables to Explore Ratios and Rates
Proportional Quantities
- Creating Proportions
- Testing for Proportionality
- Solving Proportions Using Unit Rates
- Cross Multiplication
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CHAPTER 7 - PROPORTION, SCALE, AND SIMILARITY
Scale Drawings, Maps, and Scales
- Measurement: Estimating Actual and Scale Distances
- Calculating with Scales
- Problem Solving Using Maps
- Creating Scale Drawings and Scale Models
Dimensional Analysis
- Choosing Appropriate Rates and Units
- Converting Units
- Problem Solving: Converting Rates
Similarity
- Creating and Exploring Similar Figures
- Finding Measures of Similar Figures
- Perimeters and Areas of Similar Figures
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CHAPTER 8 - PERCENTS
Understanding and Estimating Percents
- Understanding Percents
- Linking Fractions, Decimals, and Percents
- Percents Greater than 100 or Less than 1
- Finding a Percent of a Number Mentally
Problem Solving with Percents
- Using Equations to Solve Percent Problems
- Solving Percent Problems with Proportions
- Problem Solving: Percent Increase and Decrease
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CHAPTER 9 - INTEGERS
Using Integers
- Using Integers to Represent Quantities
- Comparing and Ordering Integers
- The Coordinate Plane
Operations with Integers
- Adding Integers
- Subtracting Integers
- Multiplying Integers
- Dividing Integers
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CHAPTER 10 - THE PATTERNS OF ALGEBRA: EQUATIONS AND GRAPHS
Tables, Equations, and Graphs
- Quantities, Constants, and Variables
- Relating graphs to Stories
- Tables and Expressions
- Understanding and Writing Equations
- Equations and Graphs
Understanding Equations
- Solving Equations Using Tables
- Solving Equations Using Graphs
- Relating Equations and Inequalities
Integer Equations
- Integer Addition and Subtraction Equations
- Integer Multiplication and Division Equations
- Solving Two-Step Equations
- Problem Solving with Integer Equations
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CHAPTER 11 - GEOMETRY: SOLIDS, CIRCLES, AND TRANSFORMATIONS
Polyhedrons
- Exploring Polyhedrons
- Isometric and Orthographic Drawing
- Polyhedron Nets and Surface Areas
- Volumes of Prisms
Circles and Cylinders
- Circles and Circle Graphs
- Pi and Circumference
- Area of a Circle
- Surface Areas of Cylinders
- Volumes of Cylinders
Transformations
- Translations
- Reflections and Line Symmetry
- Rotations and Rotational Symmetry
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CHAPTER 12 - COUNTING AND PROBABILITY
Counting
- Counting Methods
- Arrangements
- Choosing a Group
Chance and Probability
- Odds and Fairness
- Probability
- Experimental Probability
- Independent and Dependent Events
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