8th Guided Topics

UCSMP Algebra Topics (GuidedAlgebra):

• Uses of Variables:  open sentences

expressions

formulas

• Properties:  area model for multiplication

properties for multiplication & addition

mulitplying algebraic fractions

negative numbers & powers

dimensional analysis

• Equations/Inequalities:  one & two step equations

distributive property

like terms

related number sentences

percent problems

• Linear Equations:  linear patterns

graphing equations

relating tables, equations, and graphs

slope of parallel and perpendicular lines

slope-intercept

rate of change

properties of slope

finding equations given two points or slope & one point

standard form of an equation

• Exponential Growth & Decay:  compound interest

constant growth vs. exponential growth/decay

• Properties of Exponents:  products & powers

negative exponents

quotients & powers

• Relations, Functions:  Relations

Functions

Function Notation

Direct Variation

• Radicals:  rational vs. irrational square roots

simplifying

Pythagorean Theorem

• Functions: notation

input-output tables

what is/is not a function

• Systems:  substitution

addition

graphing

• Polynomials:  multiplying

FOIL

special binomial products

• Factoring:  factoring polynomials

reverse FOIL

zero product property

• Quadratics:  graphing parabolas

solve by graphing and factoring

using quadratic formula

• On-Going: fraction & integer review

use of scientific calculator

spiral review