Algebra 2 Unit Plan Three Linear Equations

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

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

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

of 7 Algebra 2 Unit Plan 3 – Linear Equations YOU MUST KNOW THIS or you cannot pass the course

Lesson Title Required Goal Homework Materials

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

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

Lesson Title Required Goal Homework Materials

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

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

f(x) = 2x + 4 f(x) = (-1/2) x + 7

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}

- “X” intercept (X, 0) {when y = 0}

- PREDICT the FUTURE - Two addition coordinates on the line - Graph the line

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?

Rate of change (m) = Initial Condition “B” = Y = X = f(x) =

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}

- “X” intercept (X, 0) {when y = 0}

- PREDICT the FUTURE - Two addition coordinates on the line - Graph the line

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?

Rate of change (m) = Initial Condition “B” = Y = X = f(x) =

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

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

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)

Given two linear equations find the point (x1, y1) of intersection two methods

Solve linear Equation WORD PROBLEMS Independent = Rate of Change * (Dependent) + I.C. Distance = Velocity * Time + Initial Condition y = {m = y/x} * x + B

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)

The NINE “LAWS of EXPONENTS”