Unit+P

=Unit P Prerequsites=

=Videos/Resources= []

=Online Quiz= []

**Objectives**
You will understand the real numbers as a set of numbers that are expressible as decimals, that are in one-to-one correspondence with the points on a geometric line, and that satisfy certain algebraic properties. You will also understand standard representations of real numbers (fractions, exponents, decimals, scientific notation) and know how to convert between equivalent representations.
 * Key Ideas**
 * Additive inverse (opposite) || Distributive property || Natural number || Repeating decimal ||
 * Algebraic expression || Exponent || Negative number || Scientific notation ||
 * Associative Properties || Identity properties || //n//th power of a number || Set notation ||
 * Base || Inequality || Ordering of the real numbers || Terminating decimal ||
 * Bounded and unbounded intervals || Integer || Origin (of the real number line) || Trichotomy property ||
 * Closed and open intervals || Interval notation || Positive number || Variable ||
 * Commutative properties || Inverse properties || Rational number || Whole number ||
 * Constant || Irrational number || Real number ||
 * Coordinate of a point || Multiplicative inverse (reciprocal) || Real number line ||

**Objectives**
You will understand the Cartesian coordinate system as a one-to-one correspondence between ordered pairs of real numbers and points in a geometric plane. You will be able to compute distances between points on a number line using absolute value and between points in a plane using the distance formula. Using the distance formula, You will be able to write the equation of a circle in standard form. You will be able to find the midpoint of a segment using the midpoint formula.
 * Key Ideas**
 * Absolute value as distance from zero || Ordered pair //(x, y)// ||
 * Absolute value of a real number || Origin (of the Cartesian plane) ||
 * Cartesian plane || Pythagorean theorem ||
 * Center of a circle || Quadrants I, II, III, IV ||
 * Coordinates of a point || Radius of a circle ||
 * Distance formulas (line and plane) || Rectangular coordinate system ||
 * Equation of a circle || //x-//axis and //y-//axis ||
 * Midpoint formulas (line and plane) || //x-//coordinate and //y-//coordinate ||

**Objectives**
You will be able to solve linear equations and inequalities in one variable. (This is a convenient context in which to introduce equation-solving and inequality-solving in general.)
 * Key Ideas**
 * Double inequality || Linear inequality in //x// ||
 * Equation || Number line graph of a solution set ||
 * Equivalent equations || Solution of an equation ||
 * Equivalent inequalities || Solution of an inequality ||
 * Linear equation in //x// || Solution set ||

**Objectives**
You will be able to write and graph linear equations in two variables. (This is a convenient context in which to introduce the graphing of equations in general, and so we do.) You will be able to use slopes to identify parallel and perpendicular lines.
 * Key Ideas**
 * Graph of an equation || Slope of a line ||
 * Linear equation in //x// and //y// || Slope-intercept form ||
 * Parallel lines || Square viewing window ||
 * Perpendicular lines || Vertical and horizontal lines ||
 * Point-slope form || //y-//intercept of a line ||

**Objectives**
You will be able to solve polynomial and rational equations of a single variable using algebraic techniques that include the quadratic formula, extracting roots, completing the square, and elementary factoring, recognizing extraneous solutions when they occur. You will be able to solve equations graphically by finding intersections and //x//-intercepts of curves using graphing utilities. You will be able to approximate solutions numerically using calculator tables.
 * Key Ideas**
 * Completing the square || Quadratic formula ||
 * Extraneous solution || Root of an equation ||
 * Point of intersection (of two graphs) || Zero of an equation ||

**Objectives**
You will be able to solve simple one-variable inequalities involving absolute value, quadratic polynomials, and rational expressions algebraically. You will be able to support your solutions (including empty solution sets) graphically.
 * Key Ideas**
 * Absolute value inequalities || Inequalities involving fractions ||
 * Cubic inequalities || Quadratic inequalities ||

=Unit P Review=