Section	Section Title	Contents/Main Ideas and Activities	Link to Applet
2.1	Kinds of Numbers	Number sets, fractions <-> decimals
2.2	Behavior of Numbers and Variables	Commutative property, reciprocals, additive and multiplicative identities
2.3	Adding and Subtracting Signed Numbers and Variables	Adding/subtracting signed numbers on the number line	Number line Chip game
2.4	Multiplying And Dividing Signed Numbers And Variables	Multiplying and dividing signed numbers	Number line series
2.5	Operations with Fractions and Variables	Rules for multiplying fractions(numbers and variables)--canceling
2.6	Squares, Square Roots, and Absolute Value	Defining squares geometrically, Simplifying radicals,	Square root
2.7	Order of Operations	Examples with mult-div before add-subtract
3.1	Monomials	Defining monomials, exponents, coefficient terminology
3.2	Basic Rules for Exponents	Rules for adding, multiplying, etc. monomials with exponents
3.3	Additional Rules for Exponents	Canceling with negative exponents (the “elevator” metaphor)	Elevator??
3.4	From Words to Algebraic Expressions	Translations	Key word matching
3.5	Evaluating Expressions	Writing expressions and then plugging in values for the variables.	Simple and Compound Interest
3.6	Polynomials	Finding degrees, adding like terms, defining monomial,
4.1	The Distributive Property	Factoring expressions, distributing
4.2	Multiplying Binomials	FOIL Method
4.3	Squaring a Binomial	(a+b)^2; (a-b)^2	See example 3
4.4	Adding and Subtracting Polynomials	“Getting rid of parentheses”
5.1	Formulas for Perimeter, Area, and Volume	Area and perimeter of square, rectangle, finding area in terms of square units · Perimeter of a rectangle · Definition of pi · Area of a triangle · Area of a parallelogram · Area of a trapezoid · Volume	Average speed (race car)
5.2	Other Useful Formulas	Simple interest Compound interest	Attraction formula Compound interest formula Temperature conversion
5.3	Ratios, Rates, and Proportions	Ratios of triangle sides, comparing rates of gas usage, etc.	Scale factor for similar triangles Shadow problem
5.4	The Pythagorean Theorem	Proving, finding missing sides, finding missing angles	Pythagorean Area Proof
5.5	The Cartesian Coordinate Plane and the Distance Formula	Plotting points, finding distances between points	Critter race – plotting points
6.1	Solving Linear Equations by Addition and Subtraction	Algebraic manipulation	Show balance?
6.2	Solving Linear Equations by Multiplication and Division	Algebraic manipulation (canceling)
6.3	Solving General Linear Equations	Algebraic manipulation (combing 6.1 & 6.2)
6.4	Applications Involving Linear Equations	Using real-world formulas to solve word problems in one variable
6.5	Solving Linear Inequalities	Graphing solutions on a number line (open and closed circles)
7.1	Graphing Linear Equations in Two Variables	Finding points to satisfy an equation; graphing points to show they lie on a line. Also introduces intercepts	Graphing via intercepts, finding slope of line
7.2	Linear Equations: Slope and the Slope-Intercept Form	Finding slope intercept form (mostly manipulation)
7.3	Linear Equations: Point-Slope Form	Point-slope forms, perpendicular lines (no graphs included in section at all)
7.4	Relations and Functions	Domain, range, vertical line test,
7.5	Graphing Linear Inequalities in Two Variables	Graphing solutions by shading
8.1	Solving Systems of Linear Equations by Graphing	Plot two lines, see where they meet
8.2	Solving Systems of Linear Equations by Substitution	Use algebraic manipulation to solve systems via substitution
8.3	Solving Systems of Linear Equations by Elimination	Use algebraic manipulation to solve systems via elimination (also includes summary of three methods)
8.4	Applications of Linear Systems	Applying techniques to word problems	Bus and car
8.5	Systems of Linear Inequalities	Shading two regions
9.1	Introduction to Factoring Polynomials	Algebraic manipulation
9.2	Special Quadratic Factorizations	Recognizing formulas to factor
9.3	Factoring Quadratics with Integer Coefficients	Guess and check method
9.4	Special Cubic Factorizations	Summary of formulas for factoring quadratics and cubics
9.5	Solving Equations by Factoring	Setting factors=0. Algebraic manipulation only.
10.6	Direct and Inverse Variation	Algebraic exploration of concepts.	Exploring variation with Cars context Direct variation reversing quantities inverse variation
11.1	Multiplying and Dividing Radical Expressions	Simplifying radicals (algebra only)
11.2	Adding and Subtracting Radical Expressions	Simplifying radicals (algebra only)
11.3	Radical Equations	Setting radical factors=0. Algebraic manipulation only.
11.4	Complex Numbers	Manipulating and plotting	Adding/subtracting numbers in the complex plane
11.5	Rational Exponents	Manipulating expressions with factional exponents