
Nguồn ngoài
Pre-Algebra I (Illustrative Mathematics - Grade 7)
- Tác giả
- Illustrative Mathematics
- Nhà xuất bản
- OpenUp Resources
- Nguồn
- LibreTexts
- Giấy phép
- CC BY
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 193 mục
- 01: Scale Drawings
- 1.01: New Page
- 1.1.2: Corresponding Parts and Scale Factors
- 1.1.3: Making Scaled Copies
- 1.1.4: Scaled Relationships
- 1.1.5: The Size of the Scale Factor
- 1.1.6: Scaling and Area
- 1.02: New Page
- 1.2.1: Scale Drawings
- 1.2.2: Scale Drawings and Maps
- 1.2.3: Creating Scale Drawings
- 1.2.4: Changing Scales in Scale Drawings
- 1.2.5: Scales without Units
- 1.2.6: Units in Scale Drawings
- 1.03: New Page
- 1.3.1: Draw It to Scale
- 101: New Page
- 111: What are Scaled Copies
- 02: Introducing Proportional Relationships
- 2.01: New Page
- 2.1.1: One of These Things is Not Like the Others
- 2.1.2: Introducing Proportional Relationships with Tables
- 2.1.3: More about Constant of Proportionality
- 2.02: New Page
- 2.2.1: Proportional Relationships and Equations
- 2.2.2: Two Equations for Each Relationship
- 2.2.3: Using Equations to Solve Problems
- 2.03: New Page
- 2.3.1: Comparing Relationships with Tables
- 2.3.2: Comparing Relationships with Equations
- 2.3.3: Solving Problems about Proportional Relationships
- 2.04: New Page
- 2.4.1: Introducing Graphs of Proportional Relationships
- 2.4.2: Interpreting Graphs of Proportional Relationships
- 2.4.3: Using Graphs to Compare Relationships
- 2.4.4: Two Graphs for Each Relationship
- 2.5: Let's Put it to Work
- 2.5.1: Four Representations
- 2.5.2: Using Water Efficiently
- 03: Untitled Chapter 3
- 3.01: New Page
- 3.1.1: How Well Can You Measure
- 3.1.2: Exploring Circles
- 3.1.3: Exploring Circumference
- 3.1.4: Applying Circumference
- 3.1.5: Circumference and Wheels
- 3.02: New Page
- 3.2.1: Estimating Areas
- 3.2.2: Exploring the Area of a Circle
- 3.2.3: Relating Area to Circumference
- 3.2.4: Applying Area of Circles
- 3.03: New Page
- 3.3.1: Distinguishing Circumference and Area
- 3.3.2: Stained-Glass Windows
- 04: Untitled Chapter 4
- 4.01: New Page
- 4.1.1: Lots of Flags
- 4.1.2: Ratios and Rates With Fractions
- 4.1.3: Revisiting Proportional Relationships
- 4.1.4: Half as Much Again
- 4.1.5: Say It with Decimals
- 4.02: New Page
- 4.2.1: Increasing and Decreasing
- 4.2.2: One Hundred Percent
- 4.2.3: Percent Increase and Decrease with Equations
- 4.2.4: More and Less than 1 Percent
- 4.03: New Page
- 4.3.1: Tax and Tip
- 4.3.2: Percentage Contexts
- 4.3.3: Finding the Percentage
- 4.3.4: Measurement Error
- 4.3.5: Percent Error
- 4.3.6: Error Intervals
- 4.04: New Page
- 4.4.1: Posing Percentage Problems
- 05: Untitled Chapter 5
- 5.01: New Page
- 5.1.1: Interpreting Negative Numbers
- 5.02: New Page
- 5.2.1: Changing Temperatures
- 5.2.2: Changing Elevation
- 5.2.3: Money and Debts
- 5.2.4: Representing Subtraction
- 5.2.5: Subtracting Rational Numbers
- 5.2.6: Adding and Subtracting to Solve Problems
- 5.03: New Page
- 5.3.1: Position Speed and Direction
- 5.3.2: Multiplying Rational Numbers
- 5.3.3: Multiply
- 5.3.4: Dividing Rational Numbers
- 5.3.5: Negative Rates
- 5.04: New Page
- 5.4.1: Expressions with Rational Numbers
- 5.4.2: Solving Problems with Rational Numbers
- 5.05: New Page
- 5.5.1: Solving Equations with Rational Numbers
- 5.5.2: Representing Contexts with Equations
- 5.06: New Page
- 5.6.1: The Stock Market
- 06: Untitled Chapter 6
- 6.01: New Page
- 6.1.1: Relationships between Quantities
- 6.1.2: Reasoning about Contexts with Tape Diagrams
- 6.1.3: Reasoning about Equations with Tape Diagrams
- 6.1.4: Reasoning about Equations and Tape Diagrams (Part 1)
- 6.1.5: Reasoning about Equations and Tape Diagrams (Part 2)
- 6.1.6: Distinguishing between Two Types of Situations
- 6.02: New Page
- 6.2.1: Reasoning about Solving Equations (Part 1)
- 6.2.2: Reasoning about Solving Equations (Part 2)
- 6.2.3: Dealing with Negative Numbers
- 6.2.4: Different Options for Solving One Equation
- 6.2.5: Using Equations to Solve Problems
- 6.2.6: Solving Problems about Percent Increase or Decrease
- 6.03: New Page
- 6.3.1: Reintroducing Inequalities
- 6.3.2: Finding Solutions to Inequalities in Context
- 6.3.3: Efficiently Solving Inequalities
- 6.3.4: Interpreting Inequalities
- 6.3.5: Modeling with Inequalities
- 6.04: New Page
- 6.4.1: Subtraction in Equivalent Expressions
- 6.4.2: Expanding and Factoring
- 6.4.3: Combining Like Terms (Part 1)
- 6.4.4: Combining Like Terms (Part 2)
- 6.4.5: Combining Like Terms (Part 3)
- 6.05: New Page
- 6.5.1: Applications of Expressions
- 07: Untitled Chapter 7
- 7.01: New Page
- 7.1.1: Relationships of Angles
- 7.1.2: Adjacent Angles
- 7.1.3: Nonadjacent Angles
- 7.1.4: Solving for Unknown Angles
- 7.1.5: Using Equations to Solve for Unknown Angles
- 7.02: New Page
- 7.2.1: Building Polygons (Part 1)
- 7.2.2: Building Polygons (Part 2)
- 7.2.3: Triangles with 3 Common Measures
- 7.2.4: Drawing Triangles (Part 1)
- 7.2.5: Drawing Triangles (Part 2)
- 7.03: New Page
- 7.3.1: Slicing Solids
- 7.3.2: Volume of Right Prisms
- 7.3.3: Decomposing Bases for Area
- 7.3.4: Surface Area of Right Prisms
- 7.3.5: Distinguishing Volume and Surface Area
- 7.3.6: Applying Volume and Surface Area
- 7.04: New Page
- 7.4.1: Building Prisms
- 08: Untitled Chapter 8
- 8.01: New Page
- 8.1.1: Mystery Bags
- 8.1.2: Chance Experiments
- 8.1.3: What are Probabilities
- 8.1.4: Estimating Probabilities Through Repeated Experiments
- 8.1.5: More Estimating Probabilities
- 8.1.6: Estimating Probabilities Using Simulation
- 8.02: New Page
- 8.2.1: Simulating Multi-step Experiments
- 8.2.2: Keeping Track of All Possible Outcomes
- 8.2.3: Multi-step Experiments
- 8.2.4: Designing Simulations
- 8.03: New Page
- 8.3.1: Comparing Groups
- 8.3.2: Larger Populations
- 8.3.3: What Makes a Good Sample
- 8.3.4: Sampling in a Fair Way
- 8.04: New Page
- 8.4.1: Estimating Population Measures of Center
- 8.4.2: Estimating Population Proportions
- 8.4.3: More about Sampling Variability
- 8.4.4: Comparing Populations Using Samples
- 8.4.5: Comparing Populations With Friends
- 8.05: New Page
- 8.5.1: Memory Test
- 09: Untitled Chapter 9
- 9.01: New Page
- 9.1.1: Planning Recipes
- 9.1.2: Costs of Running a Restaurant
- 9.1.3: More Costs of Running a Restaurant
- 9.1.4: Restaurant Floor Plan
- 9.02: New Page
- 9.2.1: How Crowded Is this Neighborhood
- 9.2.2: Fermi Problems
- 9.2.3: More Expressions and Equations
- 9.2.4: Measurement Error (Part 1)
- 9.2.5: Measurement Error (Part 2)
- 9.03: New Page
- 9.3.1: Measuring Long Distances Over Uneven Terrain
- 9.3.2: Building a Trundle Wheel
- 9.3.3: Using a Trundle Wheel to Measure Distances
- 9.3.4: Designing a 5K Course