IV A c t Pre-Algebra v Mx-N-Match 1. Operatons on Fractons.................15 2. Order of Operatons....................15 3. Exponental Form......................16 4. Scentfc Notaton......................16 5. Area, Permeter, and Volume..............16 6. Greatest Common Factor or Least Common Multple..........17 7. Passage of Tme........................17 8. Place Value...........................17 9. More Place Value.......................18 Lne-Ups 1. Comparng the Values of Fractons, Decmals, and Percents..................77 2. Area, Permeter, and Volume..............77 3. Statstcs.............................78 4. Order of Operatons....................78 5. Roundng............................78 t e s & 10. Propertes of Arthmetc.................18 11. Equvalent Ratonal Expressons...........19 12. Problem Solvng Wth Percent.............19 13. Solvng One-Step Equatons..............19 14. Inequaltes n One Varable..............20 15. Unt Prce............................20 16. Solvng Proportons.....................21 17. Geometry Defntons...................21 18. The Countng Prncple..................22 19. Statstcs.............................22 6. Greatest Common Factor or Least Common Multple..........79 7. Operatons on Fractons.................79 8. Problem Solvng wth Proportons..........79 9. Angle Measurement.....................80 10. The Countng Prncple..................80 1. Order of Operatons.......................................................81 Insde-Outsde Crcle 1. Area and Permeter....................127 2. Place Value..........................128 3. Roundng...........................128 4. Greatest Common Factor and Least Common Multple................128 5. Order of Operatons...................129 6. Propertes of Arthmetc................129 7. Operatons on Integers.................129 8. Comparng Fractons...................130 1. Propertes of Arthmetc....................................................23 9. Convertng Fractons, Decmals, and Percents 130 10. Interpretng Data and Graphs............130 11. Smplfyng Algebrac Expressons.........131 12. Operatons on Monomals...............131 13. Inequalty Graphs.....................131 14. Percents.............................132 15. Convertng Unts......................132 16. Symmetry...........................132 17. Smple One-Step Equatons..............133 1. Percent Problems........................................................135 Cooperatve Learnng for Hgh School Mathematcs
V B l a c k l n e s RallyCoach 1. Factors of a Number...................209 2. Common Factors......................210 3. One-Step Equatons...................210 4. Operatons on Integers.................211 5. Equvalent Decmals, Fractons, and Percents 211 6. Interpretng Graphs....................212 7. Problem Solvng wth Decmals, Fractons, and Percents.................212 8. Measurement, Surface Area, and Volume...213 9. Order of Operatons...................213 10. Propertes of Numbers.................213 1. Problem Solvng wth percents, Decmals, and Fractons..........................215 RoundTable 1. Operatons on Fractons................271 2. Operatons on Decmals................271 3. Operatons on Integers.................272 4. Statstcs............................272 Mx Par Rally Coach 1. Operatons on Fractons................341 2. Operatons on Integers.................341 3. Operatons on Decmals................342 4. Passage of Tme.......................342 5. Percent of a Number...................342 5. Probablty...........................273 6. Roundng...........................273 7. Interpretng Graphs and Other Data Dsplays 274 1. Probablty.............................................................275 6. Percent Decrease (and Percent Increase)....343 7. Surface Area and Volume of Prsms........343 8. Greatest Common Factor and Least Common Multple................344 1. Surface Area and Volume.................................................345 Cooperatve Learnng for Hgh School Mathematcs
VI A c t Algebra 1 v Mx-N-Match 1. Wrtng Algebrac Expressons.............27 2. Evaluatng Algebrac Expressons..........27 3. Smplfyng Algebrac Expressons..........28 4. Operatons on Monomals................28 5. Operatons on Polynomals...............29 6. Lnear Equatons.......................29 7. Factorng.............................30 t e s & 8. Reducng Ratonal Expressons............30 9. Addng Fractons wth Monomal Denomnators................31 10. Slope-Intercept Form of a Lne............31 11. Evaluatng Square Roots.................32 12. Operatons on Radcals..................32 1. Reducng Ratonal Expressons...............................................33 Lne-Ups 1. Evaluatng Algebrac Expresson...........87 2. Lnear Equatons n on Varable...........87 3. Quadratc Equatons....................88 4. Lnear Equatons n Two Varables.........88 5. Algebra Word Problems.................88 6. Solvng Systems of Equatons.............89 1. Evaluatng Algebrac Expressons.............................................91 Insde-Outsde Crcle 1. Wrtng Algebrac Expressons............143 2. Operatons on Polynomals..............143 3. Factorng............................144 4. Slope of a Lne........................144 5. Irratonal Numbers....................144 6. Smplfyng Radcals...................145 7. Completng the Square.................145 1. Factorng 2nd Degree Polynomals (or Multplyng Polynomals and Monomals)........147 Cooperatve Learnng for Hgh School Mathematcs
VII B l a c k l n e s RallyCoach 1. Wrtng Algebrac Expressons............220 2. Evaluatng Algebrac Expressons.........220 3. Solvng Mult-Step Lnear Equatons.......221 4. Wrtng Mult-Step Equatons............221 5. Operatons on Radcals.................222 6. Graphng Lnear Functons..............222 7. Algebra Word Problems n One Varable....223 8. Wrtng, Evaluatng, Transformng Formulas.224 9. The Real Number System...............224 1. Wrtng, Evaluatng, and Transformng Formulas..................................225 RoundTable 1. Algebra Word Problems n on Varable.....281 2. Algebra Word Problems n Two Varables (Algebrac Soluton)........282 3. Algebra Word Problems n Two Varables (Graphc Soluton).........282 4. Operatons on Monomals...............283 s Mx Par RallyCoach 1. Operatons on Polynomals..............351 2. Operatons on Monomals...............351 3. Wrtng and Solvng Lnear Equatons......352 5. Operatons on Polynomals..............283 6. Operatons on Ratonal Expressons (Also Known as Algebrac Fractons......284 7. Wrtng the Equaton of a Lne...........284 8. Operatons on Radcals.................285 9. Solvng Quadratc Equatons.............285 1. Solvng Algebra Word Problems wth One Varable................................287 2. Solvng Algebra Word Problems wth a System of Equatons.........................293 4. Solvng Systems of Lnear Equatons.......352 5. Irratonal Numbers....................353 1. Wrtng and Solvng Lnear Equatons..........................................355 Cooperatve Learnng for Hgh School Mathematcs
VIII A c t Geometry v Mx-N-Match 1. Geometry Defntons...................37 2. Angle Measures........................37 3. Segment Lengths.......................38 4. Crcle Theorems.......................38 t e s & 5. Coordnate Geometry...................39 6. Transformatonal Geometry...............39 7. Compostons of Transformatons..........40 1. Transformatonal Geometry.................................................41 Lne-Ups 1. Interor and Exteror Angles of a Polygon....97 2. Lengths of Segments....................97 3. Crcle Theorems.......................98 4. Coordnate Geometry...................98 1. Angle Measures...........................................................99 Insde-Outsde Crcle 1. Geometry Defntons..................157 2. Begnnng Geometry Proofs..............157 3. Truth Value of a Gven Statement.........158 4. Fndng Angle Measures................158 5. Congruent Trangles...................158 6. Propertes of Quadrlaterals..............159 7. Specal Rght Trangles (30-60-90 Trangles and 45-45-90 Trangles)................159 8. Transformatonal Geometry 1. Begnnng Geometry Proofs (Usng Geometry Defntons).........................161 Cooperatve Learnng for Hgh School Mathematcs
IX B l a c k l n e s RallyCoach 1. Constructons........................230 2. Geometry Proofs......................230 3. Geometry Problem Solvng..............231 4. Propertes of Quadrlaterals..............232 5. Correspondng Parts of Congruent Trangles.232 1. Constructons.............................................................233 RoundTable 1. Constructons........................299 2. Geometry Proofs......................300 3. Crcle Problems.......................300 4. Geometry Defntons..................301 Mx Par RallyCoach 1. Coordnate Geometry..................361 2. Transformatonal Geometry..............361 5. Geometry Defntons (wth Dagram)......301 6. Quadrlaterals........................302 7. Smlar Rght Trangles.................302 1. Specal Rght Trangles......................................................303 3. More Transformatons..................362 1. Coordnate Geometry.......................................................363 Cooperatve Learnng for Hgh School Mathematcs
X AAlgebra 2 & Trgonometry c t v Mx-N-Match 1. Equatons of Lnes......................45 2. Absolute Value Equatons................46 3. Evaluatng Functons....................46 4. Inverses of Functons...................47 5. Doman and Range of a Functon..........47 6. Graphng Parabolas.....................48 7. Fractonal and Negatve Exponents.........48 8. Smplfyng Ratonal Expressons wth Negatve Exponents.................48 9. Drect, Inverse, and Jont Varaton.........49 10. Powers of..........................49 s t e s & 11. Operatons on Imagnary and Complex Numbers.....................50 12. Equaton of a Crcle.....................50 13. Evaluatng Logarthms...................51 14. Solvng Log Equatons...................51 15. Degree Measure and Radan Measure.......51 16. Trg Functon Values of Specal Angles......52 17. Graphs of the Sne and Cosne Curves.......52 18. Trg Functons and Reference Angles........52 19. Inverse Trg Functons..................53 20. Rght Trangle Trgonometry..............53 1. Negatve Exponents.......................................................55 2. Graphs of Trgonometrc Functons...........................................59 Lne-Ups 1. Absolute Value Equatons/Radcal Equatons.103 2. Evaluatng Functons...................103 3. Compostons of Functons..............104 4. Inverse of a Functon...................104 5. Wrtng the Equaton of a Lne...........104 6. Wrtng Quadratc Equatons.............105 7. Drect Varaton.......................105 8. Undefned Fractons...................105 9. Repeatng Decmals....................106 10. Quadratc Formula....................106 11. Parabolas............................106 12. Logarthms..........................107 13. Exponental and Logarthmc Equatons....107 14. Fndng Angle Measures Usng Trgonometrc Functons...........107 15. Fndng Segment Lengths Usng Rght Trangle Trgonometry........108 16. Reference Angles......................108 17. Understandng Radan Measure...........108 18. Radan and Degree Measure.............109 19. Angle Sum and Angle Dfference Formulas..109 20. Solvng Trgonometrc Equatons.........109 1. Fndng Angle Measure Usng All Sx Trg functons...............................111 Insde-Outsde Crcle 1. Rght Trangle Trgonometry.............169 2. Evaluatng Absolute Value Expressons.....169 3. Identfyng Functons..................170 4. Doman and Range of a Functon.........170 5. Ratonal Expressons...................170 6. Imagnary Numbers (Powers of )........171 7. Fractonal and Negatve Exponents........171 8. Operatons on Complex Numbers.........171 9. Graphs of Quadratc Functons (Parabolas)..172 10. Equatons of Crcles...................172 11. Evaluatng Logarthms.................172 12. Laws of Logarthms....................173 Cooperatve Learnng for Hgh School Mathematcs
XI B l a c k l n e s Insde-Outsde Crcle Cont. 13. Trg Functons n All Four Quadrants......173 14. Trg Functon Values for Specal Angles....173 15. Permutatons and Combnatons (Word Problems).....................174 RallyCoach 1. Coordnate Geometry Proofs.............238 2. Laws of Snes and Cosnes, Area of a Trangle..238 3. Rght Trangle Trgonometry.............239 4. Functon Graphs (Compostons and Inverses).239 5. Lnear Equatons n Two Varables........240 6. Solvng Systems of Equatons by Graphng..241 7. Graphng Conc Sectons.................241 8. Graphng Lnear Equatons n three Varables..242 9. Trgonometrc Graphs..................242 10. Measures of Central Tendency............243 11. Solvng Quadratc Equatons.............243 s 1. Solvng Systems of Equatons by Graphng.......................................245 2. Statstcs.................................................................251 3. Rght Trangle Trgonometry.................................................255 Mx Par RallyCoach 16. Graphs of Trg Functons...............174 17. Angle Sum and Dfference Formulas.......174 18. Inverse Trg Functons.................175 s 1. Trgometrc Values of Specal Angles (0, 30, 45, 60, 90, 180, 270, 360).................177 2. Evaluatng Logarthms......................................................185 RoundTable 1. Coordnate Geometry..................309 2. Compostons and Inverses of Functons....310 3. Trgonometrc Functons on the Non-Unt Crcle.......................310 s 1. Absolute Value Equatons and Inequaltes..369 2. Compostons of Functons...............369 3. Wrtng the Equaton of a Lne...........370 4. Angle Sum and Angle Dfference Formulas....370 5. Graphng System of Inequaltes..........371 4. Transformatons on the Coordnate Plane...311 5. Complex Numbers....................312 6. Trgonometrc Graphs..................312 1. Compostons of Functons and Inverses of Functons..............................313 2. Trgonometrc Functons on the Non-Unt Crcle.................................319 6. Graphng Trg Functons................371 7. Operatons on Complex Numbers..........372 8. Advanced Probablty Combnatons.......372 9. Bnomal Expanson...................373 10. Equaton of a Crcle....................373 1. Angle Sum and Dfference Formulas...........................................375 Cooperatve Learnng for Hgh School Mathematcs
XII A c t Pre-Calculus v Mx-N-Match 1. Evaluatng Determnants.................65 2. Arthmetc and Geometrc Progressons......65 3. Polynomal Functon Graphs..............66 4. Convertng Equatons Form Polar to Rectangular Form (and Vce Versa)...................66 Lne-Ups 1. Determnants.........................115 2. Arthmetc and Geometrc Progressons.....115 3. Sum of an Arthmetc or Geometrc Seres...116 4. Remander Theorem...................116 t e s & 5. Laws of Logarthms.....................67 6. Factor Theorem and Remander Theorem....67 7. Bnomal Expanson....................68 8. Venn Dagrams........................68 5. Matrces............................116 6. Dstance From a Pont to a Lne...........117 7. Angle of Inclnaton....................117 8. Summaton..........................117 1. Arthmetc and Geometrc Progressons.......................................119 Insde-Outsde Crcle 1. Determnants.........................193 2. Seres and Sequences...................193 3. Identfyng Conc Sectons...............194 4. Specal Factorng Technques............194 1. Polynomal Functons and Ther Graphs.......................................69 5. Wrtng Functons.....................194 6. Ratonal Functons....................195 7. Usng the Scentfc Calculator............195 1. Identfyng Conc Sectons.................................................197 Cooperatve Learnng for Hgh School Mathematcs
XIII B l a c k l n e s RallyCoach 1. Graphng Interval Functons.............260 2. Geometrc Progressons.................260 3. Lnear Programmng...................261 4. Polar Coordnates and Demover s Theorem.262 1. Lnear Programmng.....................................................263 RoundTable 1. Solvng Systems of Equatons Usng Determnants....................325 2. Doman and Range of a Functon.........326 3. Coordnate Geometry..................326 4. Interval Functons.....................327 5. Graphng Ratonal Functons.............327 Mx Par RallyCoach 1. Determnants........................381 2. Arthmetc Seres and Sequences..........381 3. Geometrc Seres......................382 4. Parabolas............................382 5. Ratonal Functon Graphs...............383 6. Dscrmnant and the Roots of a Quadratc Equaton....................328 7. Interpretng Functon Graphs............328 8. Transformatons of Functons............329 9. Compostons of Functons..............329 10. Wrtng Functons.....................330 1. Graphng Ratonal Functons...............................................331 6. Dstance from a Pont to a Lne...........383 7. Lnear Functons......................384 8. Solvng Exponental Equatons Usng Logs..384 9. Vectors.............................385 1. Parabolas..............................................................387 Cooperatve Learnng for Hgh School Mathematcs