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Pre-Calculus - Lee Academy

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<strong>Pre</strong>-<strong>Calculus</strong> Curriculum, <strong>Lee</strong> <strong>Academy</strong> 10<br />

variables, replacing one equation by the sum of that<br />

equation and a multiple of the other produces a system<br />

with the same solutions.<br />

Common Core State StandardS for matHematICS<br />

6. Solve systems of linear equations exactly and<br />

approximately (e.g., with graphs), focusing on pairs of<br />

linear equations in two variables.<br />

7. Solve a simple system consisting of a linear<br />

equation and a quadratic equation in two variables<br />

algebraically and graphically. For example, find the<br />

points of intersection between the line y = –3x and the<br />

circle x2 + y2 = 3.<br />

demand.<br />

3. Students will be able to solve<br />

systems of two equations graphically<br />

and numerically.<br />

4. Students will be able to solve<br />

systems of equations where one of<br />

the equations is not linear<br />

graphically and algebraically.<br />

5. Students will be able to use matrices<br />

to solve systems of 3 or more<br />

equations using Row – Echelon<br />

Form (REF).<br />

the optimal production<br />

rate for a supply and<br />

demand problem?<br />

3. What are the benefits to<br />

solving a system of<br />

equations graphically or<br />

numerically?<br />

8. (+) Represent a system of linear equations as a<br />

single matrix equation in a vector variable.<br />

9. (+) Find the inverse of a matrix if it exists and use<br />

it to solve systems of linear equations (using<br />

technology for matrices of dimension 3 × 3 or greater).

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