3.2 Understanding Graphs
Supercharge your thinking with the language of algebra.
Seeing Solutions
Practice Seeing Solutions
Graphing Solutions
Practice Graphing Solutions
Revealing Patterns
Practice Revealing Patterns
Choosing Values
Practice Choosing Values
Continuity
Practice Continuity
Using Continuity
Practice Using Continuity
Diminishing Returns
Intercepts
Practice Intercepts
Up and Down
Practice Up and Down
Minimums and Maximums
Practice Minimums and Maximums
Bounded Graphs
Practice Bounded Graphs
Graphs with Gaps
Practice Graphs with Gaps
Apply: Training an AI
Rate of Change
Practice Rate of Change
Slope and Parameters
Practice Slope and Parameters
The y-Intercept
Practice The y-Intercept
Horizontal and Vertical Lines
Practice Horizontal and Vertical Lines
Linear Systems
Practice Linear Systems
Finding How Many Solutions
Practice Finding How Many Solutions
Apply: Rules of Thumb
Course description
This course explores the twin pillars of algebraic thinking—equations and graphs. With these two tools, we'll unpack algebra's big ideas and develop a powerful perspective to solve its essential problems. By the end of this course, you'll understand graphs and their relationship to the equations they represent, enabling you to answer questions involving equations even when it's impossible to solve them by hand. Though a familiarity with solving equations is helpful, we'll start with a review of the basics and build on them throughout the course. When you finish, you'll be ready to conquer a wide range of algebraic techniques in Algebra 1.
Topics covered
- Algebraic Expressions
- Coordinate Plane
- Equations
- Graphs
- Linear Equations
- Ordered Pairs
- Rates
- Simplifying
- Systems of Equations
- Variables
Prerequisites and next steps
Though a familiarity with solving equations is helpful, we'll start with a review of the basics and build on them throughout the course.
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4.1 Vectors and Linear Algebra
Use vectors — a way of describing a move in space — to program a game and design a logo.
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