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Algebra 1 - Topics, Homework, and Correlation to the AHSGE

Date - Semester and Week These dates are approximate and may change.	Topic - including enrichment exercises to expand on the general topic This material will be done in class. Other material may also be presented. This material will appear on the front page along with class recordings.	Textbook Reference, Glencoe 2005 Other material may also be presented from various texts, including the calculus.	Homework Other homework exercises will be given as needed. These may come from supplementary material. In all cases the homework will be both e-form and physical handouts.
				AHSGE
Semester 1, Week 1	Variables, Expressions, Basic Properties of Mathematics Towers of Hanoi, Four Digits Problem, Tangram Puzzles Tower of Hanoi (Flash Game), Tangram (Flash Game)	Note: Each chapter link is between 5 and 10 Mb and thus requires a broadband link to access. Chpt 1 (This material will be covered quickly as it is basic review for 9th grade algebra students)	Order of Operations Identity/Equality Properties Distributive Property Commutative/Associative Properties
	Distinguish between number sets (Natural, Whole, Integers, Rational, Irrational, Real) Number Sets The Maya The Four Color Problem, Web, Puzzle	Chpt 2 Lessons/Algebra 1/Alg 2-2.doc Lessons/Algebra 1/Alg 2-3.doc Lessons/Algebra 1/Alg 2-4.doc		VII-8
	Perform basic arithmetic operations on rational numbers and integers Geometric Probability Scale Drawings	Lessons/Algebra 1/Alg 2-5.doc Lessons/Algebra 1/Alg 2-6.doc Lessons/Algebra 1/Alg 2-6a.doc	Add/Subtract Rationals Multiply Rationals Divide Rationals Simple Probability and Odds	VII-8
	Solve multi-step equation Counting-Off Puzzles	Chpt 3, Section 4 pp 142 - 148	Multi-step Equations	II-1, VII-8
	Solve w/ variables on both sides of the equal sign Identities Geometric Solution to the "Work Problem"	Chpt 3, Section 5 pp 149 - 154	Equations with variables on both sides of the equal sign	II-1, VII-8
	Similar Triangles Geometric Construction of Pi	Chpt 11, Section 6 pp 616-620	Similar Triangles
	Solve literal equations, functions, and formulas Dissection Puzzle (Hand-out)	Chpt 3, Section 8 pp 168 - 170	Equations and formulas	II-1, VII-8
	Solve multi-step inequalities Angles of a Triangle	Chpt 6, Section 3 pp 332 - 337	Multi-step inequalities	II-4, VII-8
	Solve compound inequalities	Chpt 6, Section 4 pp 338 - 344	Compound inequalities	II-4, VII-8
	Solve open sentence involving absolute value	Chpt 6, Section 5 pp 345 - 351	Absolute value equations	II-4, VII-8
	Graphs and functions Traceable Figures	Chpt 1, Section 8 pp 43 - 49	Graphs and Functions	III-1
	The coordinate plane and transformations Midpoint Coordinate Geometry	Chpt 4, Section 1 pp 192 - 196 Chpt 4, Section 2 pp 197 - 203	The Coordinate Plane Transformations
	Relations Inverse Relations	Chpt 4, Section 3 pp 205 - 211	Relations	V-1, V-4, VII-8
	Equations as relations Diophantine Equations	Chpt 4, Section 4 pp 212 - 217	Equations as Relations
	Graphing by tables and standard form The Legendary City of Ur	Chpt 4, Section 5 pp 218 - 223	Graphing Linear Equations and Relations	II-1, III-2
	Functions	Chpt 4, Section 6 pp 226-231	Functions	III-2, VII-8
	Graphing common relations	x=a, y=a, y=x, y=sqrt(x), y=x², y=abs value(x)		II-1, III-1
	Analyzing linear functions, slopes, equations, and intercepts	Throughout Chapter 5		III-1
	Slope Treasure Hunt with Slopes	Chpt 5, Section 1 pp 256-262	Slopes	IV-2
	Direct Variation	Chpt 5, Section 2 pp 264-270	Slopes and Direct Variation	VII-7
	Slope-Intercept Form for the Equation of a Line: y=mx+b Relating Slope-Intercept with Standard Form Excel Spreadsheet Demo of Slope-Intercept Form	Chpt 5, Section 3 pp 272-277	Slope Intercept Form	IV-2, V-1, V-2, V-4
	Writing Slope Intercept Form Celsius and Kelvin Temperatures	Chpt 5, Section 4 pp 280-285	Writing Equations in Slope Intercept Form	IV-2, V-2
	Writing Point Slope Form: (y-y₁) = m(x-x₁) Parallel and Perpendicular Lines	Chpt 5, Section 5 pp 286-291	Writing Equations in Point-Slope Form Parallel and Perpendicular Lines
	Scatter Plots and Best Fit Lines Activity: Comparing hand-span an height	Chpt 5, Section 7 pp 298-305	Scatter Plots and Fit Lines	V-1, VII-8
	Graphing Inequalities	Chpt 6, Section 6 pp 352-357	Graphing Two Variable Inequalities	II-4, VI-1
	Graphing Systems of Equations Graphing a Trip	Chpt 7, Section 1 pp 369-374	Graphing Systems of Equations	II-3
	Substitution Method for Solving Systems Equations of Lines and Planes	Chpt 7, Section 2 pp 376-380	Substitution Solutions	II-3
	Elimination Method for Solving Systems Cramer's Rule and Matrix Solutions by Row Echelon Reduction (Advanced)	Chpt 7, Sections 3-4 pp 382-392	Elimination Solutions 1 Elimination Solutions 2	II-3
	Graphing Systems of Inequalities Describing Regions In-class Project: Baker's Choice-IMP	Chpt 7, Section 5 pp 394-398	Graphing Systems of Inequalities	V-3
	Multiplying Monomial Terms, Exponential Law: ( a^x )( a^y ) = a^(x+y) Converting Metric Units	Chpt 8, Section 1 pp 410-415	Multiplying Monomials	I-3
	Divide Monomial Terms Patterns in Powers	Chpt 8, Section 2 pp 417-423	Dividing Monomials Scientific Notation	I-4
	Polynomial Terms Polynomial Functions	Chpt 8, Section 4 pp 432-436	Polynomial Expressions	I-3
	Adding & Subtracting Polynomial Terms Circular Area and Volume	Chpt 8, Section 5 pp 439-433	Adding Subtracting Polynomials	I-2, I-4
	Multiply a Polynomial by a Monomial x f(x)	Chpt 8, Section 6 pp 444-449	Multiplying a polynomial by a monomial	I-3
	Multiplying Polynomial Terms by the Distributive Property Pascal's Triangle and Binomial Form	Chpt 8, Section 7 pp 452-457	Multiplying Polynomials	I-3
	Special Polynomial Products: (a+b)², (a+b)(a-b) Sum and Difference of Cubes	Chpt 8, Section 8 pp 458-463	Special Products	I-3
	Dividing Polynomial Terms, Long Division and Synthetic Division Puzzling Primes Synthetic Division	Chpt 12, Section 5 pp 666-671	Dividing Polynomial Terms	I-4
	Greatest Common Factor	Chpt 9, Section 1 pp 474-479	Factors and Greatest Common Factors	I-4
	Using the Distributive Property to Factor Polynomial Expressions	Chpt 9, Section 2 pp 481-486	Factoring Trinomials with a=1	I-4
	Factoring Trinomial Expressions Factoring Fourth Degree Polynomials	Chpt 9, Sections 3-4 pp 489-500	Factoring Trinomials with a>1	I-4
	Factoring the Difference of Squares	Chpt 9, Section 5 pp 501-506	Factoring the Difference of Squares	I-4
	Recognizing and Factoring Perfect Square Trinomials Squaring Numbers Shortcut	Chpt 9, Section 6 pp 508-514	Factoring Perfect Square Trinomials	I-4
	Graphing Quadratic Functions Translating Quadratic Graphs	Chpt 10, Section 1 pp 524-530	Graphing Quadratics	II-2, VII-8
	Solving by Graphing Quadratics (Parabolas) Parabolas Through Three Points	Chpt 10, Section 2 pp 533-538	Solving Quadratics by Graphing	II-2, VI-1, VII-8
	Solving Quadratic Functions by Factoring
	Solving Quadratic Functions by Completing the Square	Chpt 10, Section 3	Solving Quadratics by Completing the Square
	Solving Quadratic Functions by the Quadratic Formula	Chpt 10, Section 4	Solving Quadratics by Using the Quadratics Formula
	Radicals and Radical Expressions	Chpt 2, Section 7 pp 103-109	Square Roots and Real Numbers
	Simplifying Radical Expressions Squares and Square Roots from a Graph	Chpt 11, Section 1 pp 586-592	Simplifying Radical Expressions	II-1
	Operations with Radical Expressions The Wheel of Theodorus	Chpt 11, Section 2 pp 593-597	Operations with Radical Expressions	II-1
	Radical Equations Special Polynomial Products	Chpt 11, Section 3 pp 598-603	Radical Equations	II-1
	Deriving the Distance Formula d = sqrt [ (x2-x1)² + (y2-y1)²] Pythagorean Triples	Chpt 11, Section 5 pp 611-615	The Distance Formula	IV-2
	Trigonometric Ratios Trigonometric Art	Chpt 11, Section 7 pp 623-630	The Pythagorean Theorem Trigonometric Ratios	VII-4
	Inverse Variation Direct-Indirect Variations	Chpt 12, Section 1 pp 642-647	Inverse Variation	II-1
	Rational Expressions Rational Exponents	Chpt 12, Section 2 pp 648-654	Rational Expressions	VII-8
	Multiplying Rational Expressions Pascal's Triangle in Chinese	Chpt 12, Section 3 pp 655-659	Multiplying Rational Expressions	VII-8
	Dividing Rational Expressions Division by Zero	Chpt 12, Section 4 pp 660-664	Dividing Rational Expressions	VII-8
	Dividing Polynomials Including Synthetic Division Synthetic Division	Chpt 12, Section 5 pp 666-671	Dividing Polynomials	VII-8
	Rational Expressions with Like Denominators Sum and Difference of Like Powers	Chpt 12, Section 6 pp 672-677	Adding Subtracting Rational Expressions with Like Denominators	VII-8
	Rational Expressions with Unlike Denominators	Chpt 12, Section 7 pp 678-683	Adding Subtracting Rational Expressions with Unlike Denominators	VII-8
	Mixed Expressions and Complex Fractions	Chpt 12, Section 8 pp 684-689	Mixed Expressions and Complex Fractions	VII-8
	Solving Rational Equations	Chpt 12, Section 9 pp 690-695	Solving Rational Equations	II-1, VII-8
	Solving Plane Figures for Area, Perimeter, and Circumference Graphing Circles by Completing the Square	Supplementary Material		IV-1, VII-4
	Solving Solid Figures for Surface Area Surface Areas of Solid Figures Formulas for Surface Area and Volume	p AL5		IV-1, VII-4
	Applying Formulas to Plane and Solid Figures	Skills pp 813-817		IV-1, VII-4
	Counting Outcomes and Probability Sample Spaces	Chpt 14, Section 1 pp 754-759	Probability Sample Spaces	VII-6
	Permutations and Combinations	Chpt 14, Section 2 pp 760-767	Permutations and Combinations	VII-6
	Probability of Compound Events Conditional Probabilities	Chpt 14, Section 3 pp 769-776	Probability of Compound Events	VII-6
	Probability Distributions	Chpt 14, Section 4 pp 777-781	Probability Distributions	VII-6
	Probability Simulations Buffon's Needle, an approximation technique for Pi	Chpt 14, Section 5 pp 782-788	Probability Simulations	VII-6