Algebra 1 Scope and Sequence Throughout this course and all others in the SD93 Math Curriculum, correct and accurate vocabulary should be emphasized. Unit 1 Review (Goal—Get the students ready to solve equations.) Topic Pretest Order of Operations Substitution Integer Operations (Real Numbers) Number Sense (Ordering Numbers) Addition and Subtraction Multiplication and Division Operations with Absolute Value Exponents System of Real Numbers (Venn Diagram p 18) Distributive Property (Forwards and Backwards) Combining Like Terms Properties of Real Numbers 5 days Resources Available/Notes To assess readiness and the specific subjects to emphasize during review time. BJ will have a Pretest developed that we can work from. 1-2; G1 1-3 p 22 13-24; ML 1.2 pp 11-12 1-26; G2 1-2 pp12-13 1-25; AR 1-2 p 11 1-37; ML2 1.3 p 19 23-37 Pre-Algebra 1-3 (Not very rigorous); G1 1-3 pp 22-23 2534; ML 1.2 p 12 27-35; G2 1-2 p12 26-31, 37-39; AR 1-3 p 16 6-30; ML2 1.2 p 12 35-46 1-3 2-1, 2-2; G1 2-3 pp 90-92 7-67, 2-5 pp 103-104 14-37, 44-46; ML 1.4 pp 21-22; AR 1-5 pp 2728 13-46, 1-6 pp 32-33 9-60; ML2 pp 75-76 12-42, 51-55 2-3; G1 2-6 pp 109-110 18-47, 56-58, 2-7 pp 115-116 14-43, 45-47; ML2 2.5 pp 96-97 16-47, 61-67 AR 1-4 pp 20-21 7-43 1-2; ML 9.1 p 373 1-20, 24-36; ML2 1.2 p 12 17-34 CC1; Introduce but don’t test. Continue to refer to it throughout the course; G2 1-8 p 50-51 1-55 2-4; G2 1-5 pp 29-30 12-33; G1 1-7 pp 48 1-47, 50-51; AR 2-2 76-77 22-49; ML2 2.6 pp 103105 19-89 p 86; G2 1-8 p 50-51 1-55 Unit 2 Solving Equations and Inequalities Topic Solving and Graphing Equations (Number Line Graphs) 1 Step 10 days Resources Available/Notes Pre-Algebra 2-5 & 2-6; G2 2-2 pp 81-82 1-30; 2-3 pp 88-89 146; G1 3-1 pp 148-149 14-37, 39-40, 3-2 pp 153 14-36, 43-45; ML 2.1 pp 58-59 1-22, 25-30; AR 2-5 p 91 8-28, 2-6 p 96 941; ML2 3.1 p 135 1-41, 3.2 pp 141-142 1-47 2 Step 3-1; G2 2-4 p 95 11-28; G1 3-3 pp 159 8-13, 17-28; ML 2.2 pp 64-65 1-34; AR 7-1 p 346 6-22, 7-3 p 356 12-36 Multi-Step 3-2; G1 3-3 p 160 29-34; ML 4.3 pp 162-163 1-24; AR 7-2 p 351 6-23; ML2 3.3 p 148 10-44, 3.4 pp 157-158 12-44 Variables on Both Sides Solving and Graphing Inequalities (Number Line Graphs) 1 Step Multi-Step 3-3; G2 p 101 1-34 3-4 3-5 4-2, 4-3; G2 6-1 pp 297-298 145, pp 305-306 1-48; G1 7-1 pp 388-390 7-44, 48-49, 7-2 pp 396-397 9-49, 51-53; ML 4.6 p 179 1-6; AR 2-9 p 108 5-37, 210 p 113 7-37, 3-4 p 144 6-24, 3-5 p 148 6-31, 5-7 p 260 6-26, 5-8 264 6-36 4-4; G2 6-3pp 311-312 1-50; G1 7-3 pp 402-403 7-14, 20-37; ML 4.6 p 179 7-14; AR 7-5 p 365 726 Variables on Both Sides 4-4; G2 6-3 pp 311-312 1-50; G1 7-3 p 403-404 24-37, 48-51; ML 4.6 p 180 22-36 Compound 4-5; G2 6-4 pp 317-318 1-44; G1 7-4 pp 410 7-52, 56-58 Absolute Value Equations and Inequalities Writing Inequalities Writing Equations and Inequalities (Including Proportions) Unit 3 Linear Equations (Functions) and Inequalities Topic Function Notation Definition of Relation and Function --Determine whether a Relation is a Function Isolate y Standard Form Slope/Rate of Change (Include Applications) Slope-Intercept Form Point-Slope Form Graphing Linear Functions Domain and Range (included concept from here to the end of the course) 4-6 ML 4.5 pp 173-175 1-13 3-6 & in previous sections; ML2 1.5 pp 35-38 1-61, 3.1 pp 135136 42-54, 3.2 pp 142-143 4857, ML2 3.3 pp 149-150 50-64. 3.4 p 158 45-49 10 days Resources Available/Notes 5-2, 5-3; G2 3-2 pp 152-153 138; G1 5-5 pp 291-293 6-56; AR 8-1 pp 391-392 1-28 5-2, 5-3, 5-4; ML2 3.7 p 177 1529, 4.2 p 215 30-35 5-4; G1 6-2 pp 336-337 11-17, 27-32, 39-44, 46-47 6-1; G2 4-1 p 192-193 14-38; G1 6-1 pp 329-330 15-43; AR 8-3 pp 402-403 4-30; ML2 3.8 pp 183-184 11-27; ML2 4.4 pp 230-231 12-55 6-2; G2 4-2 pp 200-201 12-41; G2 4-3 pp 207-208 12-32, 4-4 p 217 10-32; G1 6-4 pp 350-352 8-52, 55-57; AR 8-4 pp 407-408 1-16 6-4, 6-5; G2 4-5 pp 223-224 1235; G1 6-2 pp 336-337 8-10, 1416, 18-26, 33-38, 46-47 6-3; G1 6-5 pp 359-361 14-35, 37-38; AR 8-3 p 403 31-39; ML2 4.2 p 215 36-51, 4.3 p 221 14-59, 4.6 pp 244-245 13-55, 4.7 pp 253-254 11-43 6-3 Inverses of Linear Functions Scatter Plots Graphing Linear Inequalities Unit 4 Systems of Linear Equations and Inequalities Topic Solving Systems of Linear Equations by Graphing Solving Systems of Linear Equations by Substitution Solving Systems of Linear Equations by Elimination Applications of Systems Linear Programming Unit 5 Properties of Exponents Topic Zero Exponents Negative Exponents Multiplications and Division Properties of Exponents CC3 1-5, 6-7, CC5 (residuals), correlation; G2 4-6 pp 230-232 1-27; G1 6-3 pp 343-344 1-30 7-5; G2 6-7 pp337-338 8-36; G1 7-8 pp 439-441 4-42, 47-48; AR 8-7 p 423 3-16 10 days Resources Available/Notes 7-1; G2 5-1 pp 256-257 10-39; G1 8-1 pp 467-468 8-43, 50-51; AR 8-6 p 417 9-15, 18-20 7-2; G2 5-2 pp 263-264 8-31; G1 8-2 pp 466-468 8-37, 39-43 7-3; G2 5-3 p 269 7-22, 5-4 pp 275-276 1-23; G1 8-3 pp 472474 5-36, 41-42; 8-4 pp 478-480 5-41, 44-46 CC7, 7-4; G2 5-5 p 283 1-18 Help RMMS with Supplementation when we find it. 5 days Resources Available/Notes 8-1 8-1 8-3, 8-4, 8-5 End of Semester 1 40 days Unit 6 Operations With Polynomials Topic Adding and Subtracting Polynomials Multiplying Polynomials Multiplying Binomials Multiplying Special Cases Unit 7 Graphing Quadratics ( y ax 2 bx c ) Topic T-Chart b Vertex using x 2a Emphasize Domain and Range Maxima and Minima 5 days Resources Available/Notes 9-1; G2 7-4 pp 386-387 1-30 9-2; G2 7-5 pp 392-393 1-53, 76 pp 401-402 1-43 9-3 9-4; G2 7-7 pp 407-408 1-47 4 days Resources Available/Notes 10-1; G2 p 475 1-4, 10-15 10-1; G2 p 475 5-8, 16-23 10-2 10-2 Unit 8 Factoring Polynomials Topic Factoring Out a GCF Factoring ax 2 bx c (THE BOX) Factoring by Grouping 5-6 days Resources Available/Notes 9-2, 9-5; G2 8-1 pp 422-423 132 9-6, 9-7; G2 8-2 pp 429-430 130, 8-3 pp 437-438 1-37, 8-4 pp 444-445 1-32; 8-5 pp 450-451 132, 8-6 pp 458-459 12-34 9-8 Unit 9 Solving Quadratic Equations ( ax 2 bx c 0 ) Topic Solving Quadratic Equations from the Graph Teacher Generated Graphs Student Generated Graphs Solving Quadratic Equations by Factoring Solving Quadratic Equations by Completing the Square Show that h, k is the vertex of the parabola 10 days Resources Available/Notes Review 10-2 10-3; G2 9-2 pp 483-484 1-33; Solving Quadratic Equations by the Quadratic Formula Derive the quadratic formula by completing the square as part of the lesson Discriminant 10-6, 10-7; G2 9-4 pp 497-498 1-36; 10-4; 10-5; G2 9-3 pp 489-490 1-33 ISAT Review 3 days Unit 10 Radicals Topic Simplify Radicals Add and Subtract Radical Expressions Multiply Radical Expressions Divide (simple) Solve Radical Equations Convert Rational Exponents to Radical Form and Vice Versa Estimate Radicals Rationalize the Denominator (simple) Middle School: Pythagorean Theorem Middle School: Distance and Midpoint Formulas Unit 11 Graphing Topic Review Graphing Lines Review Graphing Quadratics Introduce Graphing Absolute Value Functions 5 days Resources Available/Notes 11-1, 11-2; G2 10-1 pp 531-533 1-48, 10-2 pp 538-539 1-43 11-3; G2 10-3 pp 543-544 1-46 3-8 3-9 11-3 7-8 days Resources Available/Notes 12-1, 6-2 12-1, 10-2 CC6, 12-1, 6-8; G2 6-5 p 325 7- Introduce Graphing Exponential Functions, Growth and Decay Introduce Graphing Radical Functions The rest of the time final review and ECA Key: Glencoe Algebra 1 c. 1998 = G1 Glencoe McGraw Hill Algebra 1 c. 2008 = G2 McDougal Littel Algebra 1 c. 1998 = ML Prentice Hall Algebra Readiness c. 2010 = AR McDougal Littel Algebra 1 c. 2004 = ML2 18 (change instructions from solve to graph) 12-1, 8-7, 8-8; 9-5 pp 505-507 1-40, 9-6 pp 512-513 1-12 CC16, 12-1, 11-4