Elementary & Intermediate Algebra by Mark Dugopolski (4th Edition), McGraw-Hill, 2012.
We will cover most of the content in chapters 6 - 10 of the text in this course.
Geometry: Common Core, Pearson, 2012.
We will cover most of the content in chapters 1 - 6 of the text in this course.
Current Unit Plan & Tentative Schedule
(For Students) Coordinate Grids
(For Parents) How to Help Your Child Succeed
(For Students) Two-Column Proof Template
Students are required to keep a binder for this class in a highly structured manner. Below, you will find an updated table of contents, which will model what the table of contents should look like in the student's binder. In addition, all documents should be in the correct order. The table of contents also keeps track of assignments and due dates and provides students with a schedule/agenda for each class. The guided note sheets for each day can be previewed, downloaded, and printed. All documents will be available here for the student to print out and complete if they lose the copy given to them in class. Click here for the table of contents pages.
Syllabus (8/19/2021)
Geometric Figures & Formulas Page (8/19/2021)
Proofs Summary (1/5/2022)
Reasons Used in Proofs (1/5/2022)
Constructions Page (1/5/2022)
Section 1.2 on Points, Lines and Planes (1/5/2022).
Homework 1 on Section 1.2 (1/7/2022)
Pages 16 - 19 #9 - 21 odds, 40 - 45, 47 - 49, 65
Section 1.3 on Measuring Segments (1/7/2022).
Homework 2 on Section 1.3 (1/11/2022)
Pages 24 - 26 #8, 10, 13, 14, 16, 18, 20, 23, 39, 40, 42, 48 - 52
Quiz on Sections 1.2, 1.3 (1/11/2022)
Section 1.4 on Measuring Angles (1/11/2022).
Homework 3 on Section 1.4 (1/13/2022)
Pages 31 - 32 #8 - 22 evens, 23, 29, 30
Section 1.5 on Angle Pairs (1/13/2022).
Homework 4 on Section 1.5 (1/18/2022)
Pages 38 - 39 #11 - 23, 27, 29, 35
Quiz on Sections 1.4, 1.5 (1/18/2022)
Section 1.7 on Midpoint and Distance in the Coordinate Plane (1/18/2022).
Homework 5 on Section 1.7 (1/20/2022)
Page 54 #6, 10, 13, 17, 23, 29, 37, 41, 58 and Page 58 #1 - 10
Homework 6 on Inductive vs. Deductive Reasoning (1/24/2022).
Quiz on Section 1.7 (1/24/2022)
Section 1.8 on Perimeter, Circumference, and Area (1/24/2022).
Homework 7 on Section 1.8 (1/26/2022)
Pages 64 - 66 #7 - 33 odds, 41, 43 - 46
Sections 2.2 - 2.3 on Conditional and Biconditional Statements (1/26/2022).
Homework 8 on Sections 2.2, 2.3 (1/31/2022)
Pages 93 - 94 #6 - 18 evens, 35, 38 and Pages 101 - 102 #8 - 14 evens, 17, 18, 23, 24, 28, 34, 38
Section 2.5 Part 1 on Reasoning in Algebra and Geometry (1/31/2022).
Geometric Proofs (1/31/2022).
Homework 9 on Section 2.5 Part 1 (2/2/2022)
Pages 116 - 118 #1 - 12, 14 - 19
Quiz on Sections 2.2, 2.3 (2/2/2022)
Section 2.5 Part 2 on Reasoning in Algebra and Geometry (2/2/2022).
Homework 10 on Section 2.5 Part 2 (2/4/2022)
Pages 117 - 118 #13, 23, 24, 25 and Worksheet
Worksheet 1 on Proofs (2/4/2022).
Section 2.6 on Proving Angles Congruent (2/4/2022).
Homework 11 on Section 2.6 Part 1 (2/8/2022)
Pages 124 - 127 #8, 12, 16, 17, 21, 28, 29, 34, 35 and Worksheet 2 #1 - 4
Worksheet 2 on Proofs (2/8/2022).
Quiz on Section 2.5 (2/8/2022)
Homework 12 on Section 2.6 Part 2 (2/10/2022)
Pages 125 - 126 #18, 23 and Worksheet 2 #5 - 11
Notebook Check #4 (2/10/2022)
TEST ON CHAPTERS 1 AND 2 (2/14/2022)
Section 3.1 on Lines and Angles (2/16/2022).
Homework 13 on Section 3.1 (2/22/2022)
Pages 144 - 145 #11 - 16 all, 21 - 28 all, 37 - 42 all
Section 3.2 on Properties of Parallel Lines (2/22/2022).
Homework 14 on Section 3.2 (2/24/2022)
Pages 153 - 155 #8, 9, 10, 12, 15, 16, 17, 19, 20, 25, 26
Section 3.3 on Proving Lines Parallel (2/24/2022).
Homework 15 on Section 3.3 (2/28/2022).
Pages 160 - 162 #9, 16, 18 - 26 evens (copy figure once), 27, 28, 32, 40 (do this one as a two-column proof), 43
Section 3.4 on Parallel and Perpendicular Lines (2/28/2022).
Homework 16 on Section 3.4 (3/2/2022)
Pages 167 - 168 #7, 8, 10 (Two-column proof for all), 22, 23, 24 & Worksheet
Worksheet 3 on Proofs (3/2/2022).
Quiz on Sections 3.1 - 3.3 (3/2/2022)
Section 3.5 on Parallel Lines and Triangles (3/2/2022).
Homework 17 on Section 3.5 (3/4/2022)
Pages 175 - 177 #10 - 26 evens, 31, 32, 33, 35, and Worksheet
Worksheet 4 on Proofs (3/4/2022).
Chapter 3 Test (3/8/2022)
Section 4.1 on Congruent Figures (3/10/2022).
Homework 18 on Section 4.1 (3/14/2022)
Pages 222 #12, 14, 16, 30, 31, 32 (P), 33, 35, 38, 40, 44 (P), 45 (P)
Section 4.2 on Triangle Congruence by SSS and SAS (3/14/2022).
Homework 19 on Section 4.2 (3/16/2022)
Pages 230 - 232 #9 (P), 17 (P), 18, 24, 25, 28 (P), 30 (P), 32 (P), 33 (P), 43, 44
Section 4.3 on Triangle Congruence by ASA and AAS (3/30/2022).
Homework 20 on Section 4.3 (4/4/2022)
Pages 238 - 240 #11 (P), 12 (P), 16, 17, 18, 19 (P), 26 (P), 28 (P)
Quiz on Sections 4.1 - 4.3 (4/4/2022)
Section 4.4 on Using Corresponding Parts of Congruent Triangles (4/4/2022).
Homework 21 on Section 4.4 (4/6/2022)
Pages 246 - 247 #6 (P), 7 (P), 10 (P), 16 (P), 18 (P), Worksheet
Worksheet 5 on Proofs (4/6/2022).
Section 4.5 on Isosceles and Equilateral Triangles (4/6/2022).
Homework 22 on Section 4.5 (4/8/2022)
Pages 254 - 256 #10 - 15 all, 22 (P), 23 (P), 25 (P), 28, 30, 31, 32
Homework 23 on Section 4.6 (4/12/2022)
Pages 262 - 263 #12, 13, 18 (P), 23 (P), 24 (P), Worksheet
Worksheet 6 on Proofs (4/12/2022).
Quiz on Sections 4.4 - 4.6 (4/12/2022)
Section 4.7 on Congruence in Overlapping Triangles (4/12/2022).
Homework 24 on Section 4.7 (4/14/2022)
Pages 268 - 270 #12, 13, 15 (P), 18 (P), 22 (P), 26 (P), Worksheet
Worksheet 7 on Proofs (4/14/2022).
Notebook Check #5 (4/14/2022)
TEST ON CHAPTER 4 (4/19/2022)
Worksheet 8 on Proofs - Homework 25 (4/21/2022).
Handout: Relationships Within Triangles (4/21/2022)
Section 5.1 on Midsegments of Triangles (4/21/2022).
Homework 26 on Section 5.1 (4/27/2022)
Pages 288 - 290 #8, 15 - 18, 20, 22, 24, 38, 40, 42, 43
Section 5.2 on Perpendicular and Angle Bisectors (4/27/2022).
Homework 27 on Section 5.2 (4/28/2022)
Pages 296 - 298 #6 - 8, 12 - 22 all, 26, 29, 31
Quiz on Sections 5.1, 5.2 (4/28/2022)
Section 6.1 on the Polygon Angle-Sum Theorems (4/29/2022).
Homework 28 on Section 6.1 (5/3/2022)
Pages 356 - 357 #10, 15, 16, 18, 22, 23, 29, 30, 32, 39
Section 6.2 on Properties of Parallelograms (5/3/2022).
Homework 29 on Section 6.2 (5/5/2022)
Pages 364 - 365 #10, 14, 16, 26, 27, 30, 32 (P), 33 (P), 34 (P), 36 (P), 37 (P), 38 - 41
Quiz on Section 6.1 (5/5/2022)
Section 6.3 on Proving Quadrilaterals Parallelograms (5/5/2022).
Homework 30 on Section 6.3 (5/9/2022)
Pages 372 - 373 #8, 9, 11, 12, 20 (P), 22, 25 (P)
Section 6.4 on Properties of Rhombuses, Rectangles, and Squares (5/9/2022).
Homework 31 on Section 6.4 (5/11/2022)
Pages 379 - 381 #14, 15, 19, 28 - 37 all, 43, 44, 45 (P), 50
Quiz on Sections 6.2, 6.3 (5/11/2022)
Section 6.5 on Conditions for Rectangles, Rhombuses, and Squares (5/11/2022).
Homework 32 on Section 6.5 (5/13/2022)
Pages 386 - 387 #8, 10, 12, 17 - 19, 23 (P), 28 - 30
Section 6.6 on Trapezoids and Kites (5/13/2022).
Homework 33 on Section 6.6 (5/17/22)
Pages 394 - 396 #9 - 23 odds, 30 - 32, 34 - 36, 47 - 52, 56 (P)
Notebook Check #6 (5/17/2022)
Summary of Postulates and Theorems (5/17/2022)
TEST ON CHAPTERS 1 - 4, 5.1, 5.2, 6.1 - 6.6 (5/19/2022)
Indirect Proofs (Proof by Contradiction) Notes (5/23/2022).
Syllabus (8/19/2021)
Geometric Figures & Formulas Page (8/19/2021)
Definitions, Rules, & Formulas Page (8/19/2021)
Review on Factoring Examples (8/23/2021).
Homework 1 on Factoring (Due 8/25/2021)
Page 376 #7 - 18, 21, 23, 24 and Page 377 #51, 52
Handout: Guidelines for Factoring Completely (8/25/2021)
More on Factoring (8/25/2021).
Syllabus Quiz (8/25/2021)
Homework 2 on Factoring (Due 8/31/2021)
Pages 374 - 375 #70 - 88 evens, 92, 94, 95, 96, 98, 100
Section 6.1, Reducing Rational Expressions Notes (8/31/2021).
Homework 3 on Section 6.1 (Due 9/2/2021)
Pages 389 - 391 #16 - 22 evens, 33 - 42 (Multiples of 3), 51, 54, 57, 69 - 81 (Multiples of 3), 105, 106
Quiz on Factoring (9/2/2021)
Homework 4 on Section 6.2 (Due 9/7/2021)
Pages 398 - 399 #16 - 18, 24, 26, 40, 44 - 48 evens, 52 - 56 evens, 75, 76
Section 6.3, Finding the Least Common Denominator (9/7/2021).
Homework 5 on Section 6.3 (Due 9/9/2021)
Pages 405 - 407 #21, 25, 30, 32, 39, 40, 42, 45, 54, 58, 63, 66, 71
Section 6.4, Addition and Subtraction Notes (9/9/2021).
Homework 6 on Section 6.4 (Due 9/13/2021)
Pages 413 - 415 #30 - 78 (Multiples of 3) but omit 72
Quiz on Sections 6.1, 6.2 (9/13/2021)
Section 6.5, Complex Fractions Notes (9/13/2021).
Introduction to Set Theory Notes (9/14/2021).
Homework 7 on Section 6.5 (Due 9/20/2021)
Pages 422 - 423 #9 - 57 eoo, 59 ("eoo" means "every other odd".)
Math Study Approach (9/20/2021)
Section 6.6, Solving Equations with Rational Expressions Notes (9/20/2021).
Homework 8 on Section 6.6 (Due 9/22/2021)
Pages 428 - 429 #1 - 21 eoo, 41 - 61 odds
Quiz on Sections 6.3 - 6.5 (9/22/2021)
Section 6.7, Applications of Ratios and Proportions Notes (9/22/2021).
Homework 9 on Section 6.7 (Due 9/24/2021)
Pages 435 - 437 #8, 12, 14, 18, 20, 22, 27 - 37 odds, 43, 45, 48, 55, 61
Section 6.8, Applications of Rational Expressions Notes (9/24/2021).
Pages 444 - 446 #6, 8, 10, 14, 18, 19, 24, 34 - 36, 38, 41, 44, 46, 49, 51, 61
Notebook Check #1 (9/27/2021)
Chapter 6 Review (9/27/2021)
TEST ON CHAPTER 6 (9/29/2021)
Diophantus Problem (10/1/2021).
Section 8.1, Compound Inequalities in One Variable Notes (10/1/2021).
Homework 11 on Section 8.1 (10/5/2021)
Pages 514 - 518 #2 - 14 eoe, 22 - 24, 29 - 49 eoo, 56, 57, 60, 62, 66, 78, 86 ("eoe" means "every other even".)
Section 8.2, Absolute Value Equations and Inequalities (10/5/2021).
Homework 12 on Section 8.2 (10/11/2021)
Pages 525 - 527 #3, 7, 8, 15, 23, 30, 31, 34, 35, 38, 40, 50, 53, 57, 70, 77, 79, 81
Section 8.3, Compound Inequalities in Two Variables Notes (10/11/2021).
Homework 13 on Section 8.3 (10/13/21)
Pages 536 - 538 #2 - 58 eoe
Linear Programming Handout (10/13/21)
Quiz on Sections 8.1, 8.2 (10/13/21)
Section 9.1, Radicals - Part 1 - Notes (10/13/2021).
Perfect nth Powers to Know (10/13/2021).
Homework 14 on Section 9.1 Part 1 (10/15/2021)
Page 565 #2 - 32 evens
Section 9.1, Radicals - Part 2 - Notes (10/15/2021).
Homework 15 on Section 9.1 Part 2 (10/19/2021)
Pages 565 - 566 #34 - 110 eoe
Quiz on Section 8.3 (10/19/2021)
Section 9.2, Rational Exponents Notes (10/19/2021).
Homework 16 on Section 9.2 (10/21/2021)
Pages 575 - 577 #4 - 36 (Multiples of 4), 37, 41, 45, 53, 61, 63, 73, 75, 92, 99, 103, 119
Section 9.3 Part 1, Adding, Subtracting, and Multiplying Radicals Notes (10/21/2021).
Homework 17 on Section 9.3 Part 1 (10/25/2021)
Pages 584 - 585 #7, 9, 13, 15, 17, 21, 25, 27, 32, 33, 37, 41, 43, 53, 67, 71, 99, 101, 102
Memory Quiz on the Perfect nth Powers (10/25/2021)
Homework 18 on Section 9.3 Part 2 and Section 9.4 Part 1 (10/27/21)
Page 585 #57 - 65 odds, 75 - 103 eoo; Pages 593 - 594 #2 - 8 evens, 49 - 57 odds
Section 9.4, Quotients and Powers Notes (10/27/21).
Homework 19 on Section 9.4 (10/29/21)
Pages 594 - 595 #11, 16, 21, 25, 35, 37, 43, 45, 47, 59, 69, 73, 77, 89, 103, 110
Section 9.5, Solving Equations with Radicals and Exponents (10/29/2021).
Homework 20 on Section 9.5 (11/2/2021)
Pages 603 - 606 #5, 7, 11, 15, 26, 27, 29, 35, 39, 41, 65, 75, 89, 91, 94, 95, 96, 114
Quiz on Sections 9.1 - 9.3 (11/2/2021)
Section 9.6, Complex Numbers Part 1 Notes (11/2/2021).
Homework 21 on Section 9.6 Part 1 (11/4/2021)
Pages 614 - 615 #1 - 29 eoo, 32 - 38 evens, 88, 90, 94, 96, 100
Section 9.6, Complex Numbers Part 2 Notes (11/4/2021).
Homework 22 on Section 9.6 Part 2 (11/8/2021)
Pages 614 - 615 #39 - 84 (Multiples of 3), 91, 97, 98, 102
Notebook Check #2 (11/8/2021)
Chapter 9 Review (11/8/2021)
TEST ON CHAPTER 9 (11/10/2021)
Formula and Factoring Quiz (11/12/2021)
Section 10.1, Factoring and Completing the Square Part 1 Notes (11/12/2021).
Homework 23 on Section 10.1 Part 1 (11/16/2021)
Pages 635 - 636 #1 - 19 odds, 22 - 36 evens
Section 10.1 Part 2 on Completing the Square Notes (11/16/2021).
Homework 24 on Section 10.1 Part 2 (11/18/2021)
Pages 636 - 637 #39 - 91 eoo, 93
Section 10.2 on the Quadratic Formula Notes (11/18/2021).
Homework 25 on Section 10.2 (11/22/2021)
Pages 646 - 647 #28 - 40 eoe, 43 - 59 odds, 72, 75, 77
Quiz on Section 10.1 (11/22/2021)
Worksheet on 10.1, 10.2 (11/22/2021)
Section 10.3 on More on Quadratic Equations (11/29/2021).
Homework 26 on Section 10.3 (12/1/2021)
Page 655 #3, 5, 9, 11, 16 - 24 evens, 35, 44, 52, 60
Section 10.4 on Graphing Quadratic Functions (12/1/2021).
Homework 27 on Section 10.4 (12/3/2021)
Pages 664 - 666 #6, 8, 10, 36 - 44 evens, 49, 54, 55
Quiz on Sections 10.2, 10.3 (12/3/2021)
Vertex Form Notes (12/3/2021).
Homework 28: Worksheet (12/7/2021).
Solving Polynomial Inequalities Notes (12/7/2021).
Homework 29: Worksheet (12/9/2021).
Notebook Check #3 (12/9/2021)
Chapter 10 Review (12/9/2021)
Quiz on Graphing Quadratic Functions (12/13/2021)
Chapter 8 Review (12/13/2021)
Chapter 6 Review (12/15/2021)
TEST ON CHAPTERS 6, 8, 9, AND 10 (12/17/2021)