Program Guide - Department of Human Resources, Labour and ...
Program Guide - Department of Human Resources, Labour and ...
Program Guide - Department of Human Resources, Labour and ...
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IM 3218<br />
Advanced Algebra II<br />
1. Systems <strong>of</strong> Equations<br />
1.1 Define linear equations.<br />
1.2 Solve systems <strong>of</strong> linear equations in two variables by graphing.<br />
1.3 Solve systems <strong>of</strong> linear equations in two variable algebraically.<br />
1.4 Find equivalent linear systems in two variables.<br />
1.5 Solve systems <strong>of</strong> linear systems in three variables.<br />
1.6 Apply systems <strong>of</strong> linear equations in two <strong>and</strong> three variables to solving word<br />
problems.<br />
2. Quadratic Equations<br />
2.1 Define quadratic equations.<br />
2.2 Solve quadratic equations for an unknown variable.<br />
2.3 Solve quadratic equations by graphing.<br />
2.4 Solve quadratic equations by factoring.<br />
2.5 Solve quadratic equations by completing the square.<br />
2.6 Derive quadratic formula.<br />
2.7 Solve quadratic equations using quadratic formula.<br />
2.8 Use quadratic formula to find roots <strong>of</strong> a quadratic equation.<br />
2.9 Use discriminant to determine whether a quadratic equation has two different real<br />
roots, two equal real roots, or no real roots.<br />
2.10 Define complex numbers.<br />
2.11 Use quadratic formula to determine complex roots.<br />
2.12 Simplify complex numbers.<br />
2.13 Apply concepts for solving quadratic equations to problems.<br />
3. Linear <strong>and</strong> Quadratic Functions<br />
3.1 Define relation <strong>and</strong> state range <strong>and</strong> domain <strong>of</strong> various relations.<br />
3.2 Define function <strong>and</strong> f <strong>of</strong> x notation for a function.<br />
3.3 Determine if a relation is a function.<br />
3.4 Sketch graphs <strong>of</strong> functions stating domain <strong>and</strong> range.<br />
3.5 Define linear function <strong>and</strong> apply concepts <strong>of</strong> linear function to solve problems.<br />
3.6 Define quadratic function.<br />
3.7 Graph quadratic function using table <strong>of</strong> values <strong>and</strong> apply it to solving problems.<br />
3.8 Graph quadratic functions <strong>of</strong> the form y=x5, y=ax5, y=x5 + k, <strong>and</strong> y=(x-h)5.<br />
3.9 Graph quadratic equations <strong>of</strong> the form y=a(a-h)5 = k<br />
3.10 Convert y=ax5 + bx + c to y=a(a-h)5 + k form <strong>and</strong> graph showing maximum <strong>and</strong><br />
minimum values, axis <strong>of</strong> symmetry, x-intercepts (if any), y-intercepts, <strong>and</strong> one<br />
other point for accuracy.<br />
3.11 Solve maximum <strong>and</strong> minimum problems using quadratic functions.<br />
153<br />
ABE Level III Curriculum
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