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Math Explorations Teacher Resources

A companion website to the Mathworks curriculum
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  • Welcome!
  • Guiding Principles
    • Bibliography
  • ME Part 1
    • ME1 Chapter 1: Exploring Integers
      • ME1 Chapter 1 Workbook Solutions
    • ME1 Chapter 2: Multiplying and Dividing
      • ME1 Section 2.1: Skip Counting with Integers
      • ME1 Section 2.2: Area Model for Multiplication
      • ME1 Section 2.3: Linear Model for Division
      • ME1 Section 2.4: The Division Algorithm
      • ME1 Section 2.5: Long Division
      • ME1 Section 2.SR: Spiral Review
    • ME1 Chapter 3: Factors and Multiples
      • ME1 Section 3.1: Factors, Multiples, Primes, and Composites
      • ME1 Section 3.2: Exponents and Order of Operations
      • ME1 Section 3.3: Prime Factorization
      • ME1 Section 3.4: Common Factors and the GCF
      • ME1 Section 3.5: Common Multiples and the LCM
      • ME1 Section 3.SR: Spiral Review
    • ME1 Chapter 4: Fractions
      • ME1 Section 4.1: Models for Fractions
      • ME1 Section 4.2: Comparing and Ordering Fractions
      • ME1 Section 4.3: Unit Fractions, Mixed Fractions, and Proper and Improper Fractions
      • ME1 Section 4.4: Addition and Subtraction of Fractions
      • ME1 Section 4.5: Common Denominators and Mixed Fractions
      • ME1 Section 4.SR: Spiral Review
    • ME1 Chapter 5: Decimal and Percent Representations
      • ME1 Section 5.1: Constructing Decimals
      • ME1 Section 5.2: Operating with Decimals
      • ME1 Section 5.3: Numbers as Decimals and Fractions
      • ME1 Section 5.4: Fractions, Decimals, and Percents
      • ME1 Section 5.SR: Spiral Review
    • ME1 Chapter 6: Equations, Inequalities, and Functions
      • ME1 Chapter 6 Workbook Solutions
    • ME1 Chapter 7: Rates, Ratios, and Proportions
      • ME1 Section 7.1: Multiplying Fractions
      • ME1 Section 7.2: Division of Fractions
      • ME1 Section 7.3: Rates and Ratios
      • ME1 Section 7.4: Proportions
      • ME1 Section 7.SR: Spiral Review
    • ME1 Chapter 8: Measurement
      • ME1 Section 8.1: Length
      • ME1 Section 8.2: Capacity and Volume
      • ME1 Section 8.3: Weight and Mass
      • ME1 Section 8.4: Time and Temperature
      • ME1 Section 8.SR: Spiral Review
    • ME1 Chapter 9: Geometry
      • ME1 Section 9.1: Measuring Angles
      • ME1 Section 9.2: Triangles
      • ME1 Section 9.3: Quadrilaterals and Other Polygons
      • ME1 Section 9.4: Perimeter and Area
      • ME1 Section 9.5: Circles
      • ME1 Section 9.6: Three-Dimensional Shapes
      • ME1 Section 9.SR: Spiral Review
  • ME Part 2
    • ME2 Chapter 1: Exploring Integers on the Number Line
      • ME2 Section 1.1: Building Number Lines
      • ME2 Section 1.2: Less Than and Greater Than
      • ME2 Section 1.3: Distance Between Points (Absolute Value)
    • ME2 Chapter 2: Adding and Subtracting on the Number Line
      • ME2 Section 2.1: Addition of Integers
      • ME2 Section 2.2: Subtraction of Integers
      • ME2 Section 2.3: Adding and Subtracting Larger Numbers
      • ME2 Section 2.4: The Chip Model
      • ME2 Section 2.5: Integer Properties and Terminology
    • ME2 Chapter 3: Modeling Problems Algebraically
      • ME2 Section 3.1: Variables and Expressions
      • ME2 Section 3.2: Equations
      • ME2 Section 3.3: Solving Equations with Subtraction
      • ME2 Section 3.4: Solving Equations with Addition
      • ME2 Section 3.5: Equations and Inequalities on Number Line
    • ME2 Chapter 4: Multiplication and Division
      • ME2 Section 4.1: Multiplication of Integers
      • ME2 Section 4.2: Area Model for Multiplication
      • ME2 Section 4.3: Applications of Multiplication
      • ME2 Section 4.4: The Linear Model for Division
      • ME2 Section 4.5: The Division Algorithm
      • ME2 Section 4.6: Solving Equations and Inequalities
    • ME2 Chapter 5: Patterns and Functions
      • ME2 Section 5.1: Graphing on the Coordinate Plane
      • ME2 Section 5.2: Translations and Reflections
      • ME2 Section 5.3: Functions
      • ME2 Section 5.4: Graphing Functions
      • ME2 Section 5.5: Linear Functions
      • ME2 Section 5.6: Patterns and Sequences
    • ME2 Chapter 6: Decimal Representation and Operations
      • ME2 Chapter 6 Workbook Solutions
    • ME2 Chapter 7: Number Theory
      • ME2 Chapter 7 Workbook Solutions
    • ME2 Chapter 8: Adding and Subtracting Fractions
      • ME2 Chapter 8 Workbook Solutions
    • ME2 Chapter 9: Multiplying and Dividing Fractions
      • ME2 Chapter 9 Workbook Solutions
    • ME2 Chapter 10: Rates, Ratios, and Proportions
      • ME2 Chapter 10 Workbook Solutions
    • ME2 Chapter 11: Geometry
      • ME2 Chapter 11 Workbook Solutions
    • ME2 Chapter 12: Data Analysis
      • ME2 Chapter 12 Workbook Solutions
  • ME Part 3
    • ME3 Chapter 1: Variables, Expressions, and Equations
      • ME3 Section 1.1: Constructing a Number Line
      • ME3 Section 1.2: Variables on the Number Line
      • ME3 Section 1.3: Variables and Expressions
      • ME3 Section 1.4: Solving Linear Equations
      • ME3 Section 1.5: Equivalence of Expressions
      • ME3 Section 1.6: Equivalent Equations
      • ME3 Section 1.7: Formulas and Literal Equations
    • ME3 Chapter 2: Exploring Functions
      • ME3 Section 2.1: Functions
      • ME3 Section 2.2: Functions and Their Graphs
      • ME3 Section 2.3: Patterns and Sequences
      • ME3 Section 2.4: Applications and Functions
    • ME3 Chapter 3: Straight Lines
      • ME3 Section 3.1: Horizontal and Vertical Lines
      • ME3 Section 3.2: Slope
      • ME3 Section 3.3: Slope and Proportions
      • ME3 Section 3.4: Slopes and Intercepts
      • ME3 Section 3.5: Functions Vs. Equations
      • ME3 Section 3.6: Standard Form of a Line and Its Applications
      • ME3 Section 3.7: Perpendicular Lines
    • ME3 Chapter 4: Systems of Equations
      • ME3 Section 4.1: A Graphical Approach
      • ME3 Section 4.2: Substitution Method
      • ME3 Section 4.3: Method of Elimination
      • ME3 Section 4.4: Applications
      • ME3 Section 4.5: Consistent and Inconsistent
    • ME3 Chapter 5: Linear Inequalities
      • ME3 Section 5.1: Properties of Inequalities
      • ME3 Section 5.2: Solving Linear Inequalities
      • ME3 Section 5.3: Systems of Linear Inequalities
    • ME3 Chapter 6: Exponents
      • ME3 Chapter 6 Workbook Solutions
  • TEKS and Suggested Scope and Sequence
    • ME1 TEKS and Scope and Sequence
    • ME2 TEKS and Scope and Sequence
    • ME3 TEKS and Scope and Sequence

ME2 Section 10.1: Rates and Ratios

Workbook Solutions: ME2 10.1

Video Podcast: 10.1 – Rates and Ratios

 

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