Solve linear-quadratic systems
Start lessonBegins with Linear quadratic systems · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
HSA.REI.C.7
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What you'll learn
- Identify a linear-quadratic system (one linear equation and one quadratic equation in two variables) and explain why it can have 0, 1, or 2 solutions
- Solve a linear-quadratic system algebraically using substitution: substitute the linear equation into the quadratic, solve the resulting one-variable quadratic, and back-substitute
- Solve a linear-quadratic system graphically by identifying intersection points of the line and the parabola (or circle)
- Interpret the solutions geometrically: 0 solutions means no intersection, 1 solution means tangency, 2 solutions means two intersection points
- Verify algebraic solutions by checking both coordinates in both original equations
Slides
Step through the lesson, or watch it as a narrated video
1
Linear quadratic systems
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