THIRD NINE WEEKSPolynomials Expressions
Use factoring to simplify rational products and quotients
Use factoring to solve quadratic equations
use factoring to solve rational equations
Divide polynomials using synthetic division
Factor polynomials
Radical Expressions
1. Simplify Radicals
2. Use calculators to estimate roots of numbers
3. Simplify radical expressions
4. Rationalize the denominator of a fraction that contains a radical
5. Add, subtract, and multiply radical expressions
6. Write expressions with rational exponents in simplest radical form
7. Solve equations and inequalities containing radicals
8. Simplify square roots containing negative radicands
9. Solve quadratic equations that have pure imaginary solutions
10. Add, subtract, and multiply complex numbers
11. Simplify rational expressions containing complex numbers in the
denominator.
Quadratic Functions and Inequalities
1. Use a graphing calculator to graph and solve a quadratic equation
2. Write equations in quadratic form
3. Graph quadratic functions
4. Solve quadratic equations by graphing
5. Solve quadratics by factoring
6. Solve quadratics by completing the square
7. Solve quadratics by using the quadratic formula
8. Use the discriminant to determine the nature of the roots of
quadratic equations
9. Find the sum and product of the roots of quadratic equations
10. Graph quadratics
11. Graph quadratic inequalities
12. Solve quadratic inequalities in one variable
13. Use quadratic equations to determine data given in real-life applications
Conic Sections
1.Find the distance between two points in the coordinate plane
2. Find the midpoint of a line segment in the coordinate plane G-1
Polynomials
1. Identify all possible rational zeros of a [polynomial function by
using the rational zero theorem
2. Find zeros of a polynomial function
3. Identify all possible rational zeros of a [polynomial function by
using the rational zero theorem
4. Find zeros of a polynomial function
5. Solve complex equations A-3
6. Find the relative max and relative min of a polynomial function
curve.
7. Find the composition of functions
8. Determine the inverse of a function or relation
9. Graph functions and their inverses
Conic Sections-
Circles
1. find the equation of a circle given its radius and center
2. complete the square to find the equation of a circle
3. find area and equation of a circle with center (h,k) and radius r
4. find the equation of a circle given the endpoints of its diameter
A-3
1. graph an ellipse given an equation in standard form
2. find an equation of an ellipse in standard form
3. find foci, intercepts, lengths of axes
4. graph a hyperbola in standard form
5. find an equation of a hyperbola in standard form P-1
