<p> Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course Unit **Three** Algebra Two Unit: 3 LINEAR EQUATIONS Days of Instruction: 10</p><p>Lesson Title Required Goal Homework Materials 1 Basic Linear Notebook, pencil, Determine solutions to an equation with two variables Written pg 104 Equation text book, Graph equations using ordered pairs for linear equations #’s 17, 19 Slope Intercept TI-83 calculator IN Class: Mixed Rev pg 106 #’s 1- Y = mX + B 11 ODD Written pg 104 #’s 16, 18 Mixed Rev pg 106 #’s 2 - 10 Even Written page 111 Written page 111 #’s 2 – 10 Even #’s 1 – 11 ODD</p><p>2 Perpendicular Notebook, pencil, SLOPE = (y2 – y1) / (x2 – x1) Slopes text book, Solving and Graphing Perpendicular Linear Equations Page 116 And TI-83 calculator Perpendicular “m” = – 1 /m Written #’s 1, 7, 13, 19, 25, 27 Graphing IN Class: Examples on board Page 116 Written #’s 3, 5, 17, 23, 26</p><p>Page 1 of 7 Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course</p><p>Lesson Title Required Goal Homework Materials</p><p>3 Parallel Notebook, pencil, SLOPE = (y2 – y1) / (x2 – x1) Slopes text book, Solving and Graphing Perpendicular Linear Equations Page 121 And TI-83 calculator Parallel “m” = m! Written #’s 1, 7, 15, 17, 23, 25, 31, 33, Graphing IN Class: 35</p><p>Examples on board Page 121 Written #’s 3, 5, 17, 23, 27 33, 35 4 Finding the Y Notebook, pencil, Find: f(x) = 4x + 2 Intercept text book, - Slope = (y2 – y1) / (x2 – x1) A=(0.5, -2) B= (2/3, 3) TI-83 calculator - “Y” intercept (0,B) {when x = 0} A=(1, -2.5) Slope = 2.1 - Y = mx + B format equation A= ( 2.5, 3) B = (0, 1.2) - Two addition coordinates on the line A= (3, 4) B = ( 5, 0) - Graph the line IN-CLASS 3Y = 2X – 3 2 equations 2 points 1 graph</p><p>Page 2 of 7 Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course</p><p>Lesson Title Required Goal Homework Materials</p><p>5 Finding the X Notebook, pencil, Find: f(x) = 4x + 2 Intercept text book, - Slope = (y2 – y1) / (x2 – x1) TI-83 calculator - “Y” intercept (0,B) {when x = 0} f(x) = 3x + 7 - “X” intercept (X, 0) {when y = 0} - Y = mx + B format equation A=(-2, 1) B= (3, 3) - Two addition coordinates on the line A=(-2.5, 4) Slope = 2.4 - Graph the line A= ( 4.5, 3.1) B = (0, 1.4) IN-CLASS A= (3, 6) B = ( 4, 0) 2 equations 2 points (½)Y = (2/3)X – (3/4) 1 graph 6 Finding the Notebook, pencil, f(x) = 2x + 4 Intercept Point text book, f(x) = 4x + 2 TI-83 calculator f(x) = 3x + 7 of two Linear f(x) = 3x + 7 Equations f(x) = ½ x + 3/4 f(x) = f(x)  4x + 2 = 3x + 7 f(x) = 1/3x + 7/2</p><p>IN-CLASS f(x) =1.5 x + 2.4 5 sets of equations f(x) = 6.3x + 5.3 graph f(x) = 2 x + 5 f(x) = 2x + 2</p><p> f(x) = 2x + 4 f(x) = (-1/2) x + 7</p><p>Page 3 of 7 Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course</p><p>Lesson Title Required Goal Homework Materials 7 Linear Notebook, pencil, TBD Equations text book, Find: TI-83 calculator - Slope = RATE of CHANGE - Miles per hour Ft/Sec Deg/ foot WORD - “Y” on TOP “x” on BOTTOM PROBLEMS - “Y” intercept INITIAL CONDITION {when x = 0}</p><p>- “X” intercept (X, 0) {when y = 0}</p><p>- PREDICT the FUTURE - Two addition coordinates on the line - Graph the line</p><p>IN-CLASS Bus 14 drives at 65 mph on I-295. If it started in Bath, and travels for 1 hour, how far has it gone?</p><p>Rate of change (m) = Initial Condition “B” = Y = X = f(x) = </p><p>Page 4 of 7 Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course</p><p>Lesson Title Required Goal Homework Materials 8 Linear Notebook, pencil, TBD Equations text book, Find: TI-83 calculator - Slope = RATE of CHANGE - Miles per hour Ft/Sec Deg/ foot MORE WORD - “Y” on TOP “x” on BOTTOM PROBLEMS - “Y” intercept INITIAL CONDITION {when x = 0}</p><p>- “X” intercept (X, 0) {when y = 0}</p><p>- PREDICT the FUTURE - Two addition coordinates on the line - Graph the line</p><p>IN-CLASS The Millennium Falcon cruises at 1.5 times the speed of light. How long will it take Hans Solo to get from Earth to Proxima Centari 4.25 Light Years away?</p><p>Rate of change (m) = Initial Condition “B” = Y = X = f(x) = </p><p>Page 5 of 7 Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course</p><p>Lesson Title Required Goal Homework Materials 9 Linear Notebook, pencil, Finalize Equations text book, Create - Finalize SUMMARY SHEET SUMMARY SHEET TI-83 calculator Determine solutions to an equation with two variables</p><p>Review Graph equations using ordered pairs for linear equations HOMEWORK: In Given two ordered pairs find: Chapter 4 Given one ordered pair and a slope find: Write out (on a NEW Given the “Y” intercept and a slope find: Summary Sheet) - Slope = (y2 – y1) / (x2 – x1) - “Y” intercept (0,B) Initial Condition The NINE “LAWS of - “X” Intercept EXPONENTS” - Two addition coordinates on the line - Graph the Line</p><p>Given a Y =mx + B equation and a point on the line (x1, y1) Find a perpendicular and / or a parallel line to the original line  m┴ = 1/ -m  m// = m (same slope)</p><p>Given two linear equations find the point (x1, y1) of intersection two methods</p><p>Solve linear Equation WORD PROBLEMS Independent = Rate of Change * (Dependent) + I.C. Distance = Velocity * Time + Initial Condition y = {m = y/x} * x + B</p><p>Page 6 of 7 Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course</p><p>Lesson Title Required Goal Homework Materials 10 Linear Notebook, pencil, Equations text book, In Class TEST Linear Equations TI-83 calculator HOMEWORK: In Chapter 4 TEST Write out (on a NEW Summary Sheet)</p><p>The NINE “LAWS of EXPONENTS”</p><p>Page 7 of 7</p>