Pre-Algebra II (Illustrative Mathematics - Grade 8)

PreAlgebra Mathematics

Tác giả: Illustrative Mathematics
Nhà xuất bản: OpenUp Resources
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 179 mục

01: Rigid Transformations and Congruence
1.00: Rigid Transformations 1
1.1.00: Moving in the Plane
1.1.02: Naming the Moves
1.1.03: Grid Moves
1.1.04: Making the Moves
1.1.05: Coordinate Moves
1.1.06: Describing Transformations
1.02: Properties of Rigid Transformations
1.2.00: No Bending or Stretching
1.2.02: Rotation Patterns
1.2.03: Moves in Parallel
1.2.04: Composing Figures
1.03: Congruence
1.3.00: What Is the Same?
1.3.02: Congruent Polygons
1.3.03: Congruence
1.04: Angles in a Triangle
1.4.00: Alternate Interior Angles
1.4.02: Adding the Angles in a Triangle
1.4.03: Parallel Lines and the Angles in a Triangle
1.05: Let's Put It to Work
1.5.00: Rotate and Tessellate
02: Dilations Similarity and Introducing Slope
2.00: New Page
2.1.1: Projecting and Scaling
2.1.2: Circular Grid
2.1.3: Dilations with no Grid
2.1.4: Dilations on a Square Grid
2.1.5: More Dilations
2.02: New Page
2.2.1: Similarity
2.2.2: Similar Polygons
2.2.3: Similar Triangles
2.2.4: Side Length Quotients in Similar Triangles
2.03: New Page
2.3.1: Meet Slope
2.3.2: Writing Equations for Lines
2.3.3: Using Equations for Lines
2.04: New Page
2.4.1: The Shadow Knows
03: Linear Relationships
3.00: New Page
3.1.1: Understanding Proportional Relationships
3.1.2: Graphs of Proportional Relationships
3.1.3: Representing Proportional Relationships
3.1.4: Comparing Proportional Relationships
3.02: New Page
3.2.1: Introduction to Linear Relationships
3.2.2: More Linear Relationships
3.2.3: Representations of Linear Relationships
3.2.4: Translating y = mx b
3.03: New Page
3.3.1: Slopes Don't Have to be Positive
3.3.2: Calculating Slope
3.3.3: Equations of All Kinds of Lines
3.04: New Page
3.4.1: Solutions to Linear Equations
3.4.2: More Solutions to Linear Equations
3.5: Let's Put it to Work
3.5.1: Using Linear Relationships to Solve Problems
04: Linear Equations and Linear Systems
4.00: New Page
4.1.1: Number Puzzles
4.02: New Page
4.2.1: Keeping the Equation Balanced
4.2.2: Balanced Moves
4.2.3: More Balanced Moves
4.2.4: Solving Any Linear Equation
4.2.5: Strategic Solving
4.2.6: All, Some, or No Solutions
4.2.7: How Many Solutions?
4.2.8: When Are They the Same?
4.03: New Page
4.3.1: On or Off the Line?
4.3.2: On Both of the Lines
4.3.3: Systems of Equations
4.3.4: Solving Systems of Equations
4.3.5: Solving More Systems
4.3.6: Writing Systems of Equations
4.04: New Page
4.4.1: Solving Problems with Systems of Equations
05: Functions and Volume
5.00: New Page
5.1.1: Inputs and Outputs
5.1.2: Introduction to Functions
5.02: New Page
5.2.1: Equations for Functions
5.2.2: Tables, Equations, and Graphs of Functions
5.2.3: More Graphs of Functions
5.2.4: Even More Graphs of Functions
5.2.5: Connecting Representations of Functions
5.03: New Page
5.3.1: Linear Functions
5.3.2: Linear Models
5.3.3: Piecewise Linear Functions
5.04: New Page
5.4.1: Filling Containers
5.4.2: How Much Will Fit?
5.4.3: The Volume of a Cylinder
5.4.4: Finding Cylinder Dimensions
5.4.5: The Volume of a Cone
5.4.6: Finding Cone Dimensions
5.5: Dimensions and Spheres
5.5.1: Scaling One Dimension
5.5.2: Scaling Two Dimensions
5.5.3: Estimating a Hemisphere
5.5.4: The Volume of a Sphere
5.5.5: Cylinders, Cones, and Spheres
5.6: Let's Put It to Work
5.6.1: Volume as a Function of ...
06: Associations in Data
6.00: New Page
6.1.1: Organizing Data
6.1.2: Plotting Data
6.02: New Page
6.2.1: What a Point in a Scatter Plot Means
6.2.2: Fitting a Line to Data
6.2.3: Describing Trends in Scatter Plots
6.2.4: The Slope of a Fitted Line
6.2.5: Observing More Patterns in Scatter Plots
6.2.6: Analyzing Bivariate Data
6.03: New Page
6.3.1: Looking for Associations
6.3.2: Using Data Displays to Find Associations
6.04: New Page
6.4.1: Gone in 30 Seconds
07: Exponents and Scientific Notation
7.00: New Page
7.1.1: Exponent Review
7.02: New Page
7.2.1: Multiplying Powers of 10
7.2.2: Powers of Powers of 10
7.2.3: Dividing Powers of 10
7.2.4: Negative Exponents with Powers of 10
7.2.5: What about Other Bases
7.2.6: Practice with Rational Bases
7.2.7: Combining Bases
7.03: New Page
7.3.1: Describing Large and Small Numbers Using Powers of 10
7.3.2: Representing Large Numbers on the Number Line
7.3.3: Representing Small Numbers on the Number Line
7.3.4: Applications of Arithmetic with Powers of 10
7.3.5: Definition of Scientific Notation
7.3.6: Multiplying Dividing and Estimating with Scientific Notation
7.3.7: Adding and Subtracting with Scientific Notation
7.04: New Page
7.4.1: Is a Smartphone Smart Enough to Go to the Moon?
08: Pythagorean Theorem and Irrational Numbers
8.00: New Page
8.1.1: The Areas of Squares and Their Side Lengths
8.1.2: Side Lengths and Areas
8.1.3: Rational and Irrational Numbers
8.1.4: Square Roots on the Number Line
8.1.5: Reasoning About Square Roots
8.02: New Page
8.2.1: Finding Side Lengths of Triangles
8.2.2: A Proof of the Pythagorean Theorem
8.2.3: Finding Unknown Side Lengths
8.2.4: The Converse
8.2.5: Applications of the Pythagorean Theorem
8.2.6: Finding Distances in the Coordinate Plane
8.03: New Page
8.3.1: Edge Lengths and Volumes
8.3.2: Cube Roots
8.04: New Page
8.4.1: Decimal Representation of Rational Numbers
8.4.2: Infinite Decimal Expansions
8.5: Let's Put it to Work
8.5.1: When Is the Same Size Not the Same Size?
09: Putting It All Together
9.00: New Page
9.1.1: Tessellations of the Plane
9.1.2: Regular Tessellations
9.1.3: Tessellating Polygons
9.02: New Page
9.2.1: What Influences Temperature?
9.2.2: Plotting the Weather
9.2.3: Using and Interpreting a Mathematical Model