Systems of linear equations and inequalities
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Modeling Linear Systems - Activity B
Experiment with a system of two lines representing a cat‑and‑mouse chase. Adjust the speeds of the cat and mouse and the … head start of the mouse, and immediately see the effects on the graph and on the chase. Connect real‑world meaning to slope, y‑intercept, and the intersection of lines.
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Solving Linear Systems by Graphing
Compare a system of equations in standard form or in slope‑intercept form to its graph. Examine the graph and table of … values. Determine the solutions to the system.
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Special Types of Solutions to Linear Systems
Compare a system of equations in standard form to its graph. Examine the graph and table of values. Determine the solutions to the system.
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Systems of Linear Equations - Activity A
Solve a system of linear equations by graphing and finding the intersection of the lines of the equations. Create a system of … equations, examine its graph, matrix, and table of values, and determine the solution of the system.
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Linear Programming - Activity A
Use the graph of the feasible region to find the maximum or minimum value of the objective function. Vary the coefficients of the … objective function and vary the constraints. Explore how the graph of the feasible region changes in response.
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Systems of Linear Inequalities (Slope-intercept form) - Activity A
Compare a system of linear inequalities to its graph. Vary the coefficients and inequality symbols in the system and explore how the … boundary lines, shaded regions, and the intersection of the shaded regions change in response.
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Distance-Time Graphs
Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice … the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs.
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- Lesson Info
- Launch Gizmo
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Distance-Time and Velocity-Time Graphs
Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the … connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time.
- UPDATED
- Lesson Info
- Launch Gizmo
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Modeling Linear Systems - Activity A
Experiment with a system of two lines representing a cat‑and‑mouse chase. Adjust the speeds of the cat and mouse and the … head start of the mouse, and immediately see the effects on the graph and on the chase. Connect real‑world meaning to slope, y‑intercept, and the intersection of lines.
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Linear Programming - Activity B
Use the graph of the feasible region to find the maximum or minimum value of the objective function. Vary the constraints and explore how … the graph of the feasible region changes in response.
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Systems of Linear Inequalities (Slope-intercept form) - Activity B
Compare a system of linear inequalities in slope‑intercept form to its graph. Vary the coefficients and inequality symbols in … the system. Explore how the boundary lines, shaded regions, and the intersection of the shaded regions change in response.
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Systems of Linear Equations - Activity B
Solve a system of linear equations by graphing and finding the intersection of the lines of the equations. Create a system of … equations, examine its graph, matrix, and table of values, and determine the solution of the system.
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Systems of Linear Inequalities (Standard form)
Compare a system of linear inequalities in standard form to its graph. Vary the coefficients and inequality symbols in the system. … Explore how the boundary lines, shaded regions, and the intersection of the shaded regions change in response.
