Solving by Elimination

Comic of the Day

Warm Up
Solve the system of equations by substitution

Announcements & Deadlines

• Homework (41 questions) for unit 6 due Thu, Apr 4 at 23:59
• Quiz 6 (19 questions, 90 min, 2 tries) opens Wed, Apr 3 and closes Thu, Apr 4 at 23:59
• Next unit exam (in class) Fri, Apr 5 (2 hours)

Today - Solving by Elimination
Notes
p. 205-208
Homework #21-27

Tomorrow - Algebraic Solutions
Pre-read p. 209-210


For more information
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/v/solving-systems-by-elimination
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/v/solving-systems-by-elimination-2

Solving by Substitution (continued)

Comic of the Day

Warm Up
a) Rearrange both equations to y=mx+b form


b) Solve the system of equations by substitution

Announcements & Deadlines

• Homework (41 questions) for unit 6 due Thu, Apr 4 at 23:59
• Quiz 6 (19 questions, 90 min, 2 tries) opens Wed, Apr 3 and closes Thu, Apr 4 at 23:59
• Next unit exam (in class) Fri, Apr 5 (2 hours)

Today - Continue Solving by Substitution
Notes
p. 203-204
Homework #14-20

Tomorrow - Solving by Elimination
Pre-read p. 205-208


For more information
http://patrickjmt.com/solving-a-linear-system-of-equations-using-substitution/
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/solving-systems-by-substitution-1
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/solving-systems-by-substitution-2
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/solving-systems-by-substitution-3
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/the-substitution-method
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/substitution-method-2
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/substitution-method-3
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/practice-using-substitution-for-systems
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/e/systems_of_equations_with_substitution

Solving Systems of Equations by Substitution

Comic of the Day

Warm Up
a) Solve the system of equations graphically:
There are 10 people in this class

There are 2 more women than men


b) Graph (use points that are not fractions):

Announcements & Deadlines

• Homework (41 questions) for unit 6 due Thu, Apr 4 at 23:59
• Quiz 6 (19 questions, 90 min, 2 tries) opens Wed, Apr 3 and closes Thu, Apr 4 at 23:59
• Next unit exam (in class) Fri, Apr 5 (2 hours)

Today - Solving by Substitution
Notes
p. 199-204
Homework #14-20

Tomorrow - Solving by Elimination
Pre-read p. 205-208


For more information
http://patrickjmt.com/solving-a-linear-system-of-equations-using-substitution/
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/solving-systems-by-substitution-1
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/solving-systems-by-substitution-2
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/solving-systems-by-substitution-3
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/the-substitution-method
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/substitution-method-2
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/substitution-method-3
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/practice-using-substitution-for-systems
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/e/systems_of_equations_with_substitution

Systems of Equations, Solving Graphically

Comic of the Day

Review Unit 5 Exam

Warm Up
Mad Minute with integers (positive and negative numbers)
* for division, write as a fraction and reduce if possible

Announcements & Deadlines

• Homework (41 questions) for unit 6 due Thu, Apr 4 at 23:59
• Quiz 6 (19 questions, 90 min, 2 tries) opens Wed, Apr 3 and closes Thu, Apr 4 at 23:59
• Next unit exam (in class) Fri, Apr 5 (2 hours)

Today - Systems of Equations, Solving Graphically
"Until Infinity and Beyond Matchmaking Service"
http://www.geogebratube.org/student/m19289
Notes
p. 194-198
Homework #1-13

Tomorrow - Solving by Substitution
Pre-read p. 199-204


For more information
http://patrickjmt.com/solving-a-linear-system-of-equations-by-graphing/
https://www.khanacademy.org/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/v/solving-systems-graphically

Review of Unit 5

Comic of the Day

Tip: Set yourself up for success by getting a study routine that works for you.

Warm Up
Telegraph activity

Announcements & Deadlines

• Thursday's class (8:15-10:10) will be in J208 (shared with other Math 10C class), to get caught up with your homework
• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Review


Tomorrow - Review in J208


For more information
http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Slope.pdf
http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Graphing%20Lines%20in%20Slope-Intercept%20Form.pdf
http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Graphing%20Lines%20in%20Standard%20Form.pdf
http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Writing%20Linear%20Equations.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20a%20Graph.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20Two%20Points.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20an%20Equation.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Graphing%20Lines%20SI.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Graphing%20Lines%20SF.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Writing%20Linear%20Equations.pdf

Review of Linear Relations

Comic of the Day

Warm Up
What is the domain and range of each relation below?
a) 

b) 

c) 

Announcements & Deadlines

• Thursday's class (8:15-10:10) will be in J208 (shared with other Math 10C class), to get caught up with your homework
• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Finish Domain and Range
Notes p. 191
Homework #80-91

Tomorrow - Review


For more information
http://patrickjmt.com/reading-domain-and-range-of-a-relation-from-a-graph/
https://www.khanacademy.org/math/algebra/algebra-functions/domain_and_range/v/domain-of-a-function
https://www.khanacademy.org/math/algebra/algebra-functions/domain_and_range/v/domain-and-range-of-a-relation

Domain & Range of Functions

Comic of the Day

Warm Up
For each of the following, evaluate f(2), and find x if f(x)=2
a)

b) 

c) 

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Domain and Range
Square Root Function - What could be our inputs?  Outputs?
Notes p. 186-191
Homework #80-91
Intermission
http://www.youtube.com/watch?feature=player_embedded&v=zXHXusO8eGw

Tomorrow - Continue Domain and Range


For more information
http://patrickjmt.com/reading-domain-and-range-of-a-relation-from-a-graph/
https://www.khanacademy.org/math/algebra/algebra-functions/domain_and_range/v/domain-of-a-function
https://www.khanacademy.org/math/algebra/algebra-functions/domain_and_range/v/domain-and-range-of-a-relation

Function Notation

Comic of the Day

Warm Up
Which of the following relations are also functions?

a)  (graph below)

b)      (graph below)

c)  (graph below)

 

d)  (1,3),(2,4),(3,5),(2,6)

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Function Notation
Notes p. 181-185
Homework #71-79

Tomorrow - Domain and Range
Pre-read p. 186-191

For more information
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/function_introduction/e/functions_1
https://www.khanacademy.org/math/trigonometry/functions_and_graphs/function_introduction/e/functions_2

Introduction to Functions

Happy Pi Day!

Comic of the Day

Warm Up
Telegraph activity to review linear equations

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Introduction to Functions
"What is _________ if _____?"
Functions as graphs, tables, equations
Notes p. 178-180
Homework #68-70

Tomorrow - Function Notation
Pre-read p. 181-185

For more information
https://www.khanacademy.org/math/algebra/algebra-functions/intro_functions/v/introduction-to-functions
https://www.khanacademy.org/math/algebra/algebra-functions/intro_functions/v/difference-between-equations-and-functions

Review Linear Equations

Comic of the Day

Warm Up
The following graph is of the equation 2x + y - 3 = 0:

a) Express the equation in slope-intercept form
b) Express the equation in point-slope form, using the point (2,-1)
c) Express the equation as a table of values (x=-2,-1,0,1,2)

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Review Linear Equations
Finish Point-Slope Form
Notes p. 176-177
Homework #58-67

Tomorrow - Introduction to Functions
Pre-read p. 178-180

For more information
http://patrickjmt.com/find-the-equation-of-a-line-using-point-slope-form/
http://patrickjmt.com/graphing-a-line-using-a-point-and-slope/
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/point-slope-and-standard-form
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/converting_between_point_slope_and_slope_intercept

Slope-Point Form

Comic of the Day

Warm Up
a) What is the equation of a line with a slope of 5 and a y-intercept of 2?
b) Sketch the graph of 

Announcements & Deadlines

• Tutorial today (Tue, Mar 12, E201) is cancelled
• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Point-Slope Form
Draw a line parallel to y=2x+1, passing through the point (3,3)

Notes p. 175-177
Homework #58-67

Tomorrow - Review Linear Equations


For more information
http://patrickjmt.com/find-the-equation-of-a-line-using-point-slope-form/
http://patrickjmt.com/graphing-a-line-using-a-point-and-slope/
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/point-slope-and-standard-form
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/converting_between_point_slope_and_slope_intercept

Slope-Intercept Form

Comic of the Day

Warm Up
a) Determine the slope of a line containing points A(3,4) and B(-3,4)
b) Determine the slope of a line that is parallel to line AB
c) Determine the slope of a line that is perpendicular to line AB

Announcements & Deadlines

• Tutorial tomorrow (Tue, Mar 12, E201) is cancelled
• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Slope-Intercept Form
Graph the equation y=2x+3 using a table of values with 5 points (x=-2,-1,0,1,2)

Slope-Intercept Form in GeoGebra
Notes p. 170-174
Homework #53-57

Tomorrow - Point-Slope Form
Pre-read pages 175-177

For more information
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/graphs-using-slope-intercept-form

Parallel and Perpendicular Lines

Comic of the Day

Warm Up
Predict the type of slope for each of the lines (+,-,0,undefined), then calculate the value:

a) left line of diagram
b) right line of diagram
c) a different line, containing points A(-5,-3) and B(-2,3)

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Parallel and Perpendicular Lines
The following images came up in a Google search for "Parallel" or "Perpendicular".  Which is which?

Parallel and Perpendicular Lines in GeoGebra
Notes p. 164-166
Homework #43-52

For more information

Rate of Change and Slope

Comic of the Day

Warm Up
Determine whether each of the following are linear equations:

a) 
b) (1,5), (2,10),(3,15)

c) 
d) 

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Rate of Change
Which job is paid the most money?
a) $20/hr
b) $1000/wk
c) $50,000/year

Notes p. 158-163
Homework #35-42

Extra Practice Solving Equations
Addition 
http://www.xpmath.com/forums/arcade.php?do=play&gameid=69#.UTeMdr_Ad8E
Subtraction
http://www.xpmath.com/forums/arcade.php?do=play&gameid=68#.UTeM2r_Ad8E
Multiplication
http://www.xpmath.com/forums/arcade.php?do=play&gameid=53#.UTeMtr_Ad8E
Division
http://www.xpmath.com/forums/arcade.php?do=play&gameid=72#.UTeNA7_Ad8E
Two-Step (combinations of the above)
http://www.xpmath.com/forums/arcade.php?do=play&gameid=64#.UTeNFL_Ad8E

For more information
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/v/slope-of-a-line
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/v/slope-of-a-line-2
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/v/slope-and-rate-of-change

Linear Relations

Comic of the Day

Tip: If you get stumped by the first question, move on to the next one

Warm Up
Find the x-intercept and y-intercept of 3x - 4y = 12

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Linear Relations
For each of the following situations, sketch a graph to show the relation between the given variable and time:
a) the speed of a car on cruise control
b) amount of money earned for working at $10/hr
c) the number of homework questions remaining, if you start at 100 and do half each day

Notes p. 156-157
Homework #33-34

For more information
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing_solutions2/e/interpreting_linear_equations

Graphing Relations

Comic of the Day

Warm Up
Make a table of values (5 values) for the following relation: y=3x-2

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Graphing Relations
Notes p. 150-155
Homework #7-32

For more information
https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing_solutions2/v/algebra--graphing-lines-1
http://patrickjmt.com/graphing-linear-functions-by-finding-xy-intercept/

Relations

Comic of the Day

Warm Up
Mad Minute Monday

Announcements & Deadlines

• Homework (91 questions) for unit 5 due Thu, Mar 21 at 23:59
• Quiz 5 (32 questions, 90 min, 2 tries) opens Wed, Mar 20 and closes Thu, Mar 21 at 23:59
• Next unit exam (in class) Fri, Mar 22 (2 hours)

Today - Interpret Relations, Graphing Relations
Graphs in the News
Notes p. 144-150
Homework #1-6

For more information
https://www.khanacademy.org/math/algebra/algebra-functions/relationships_functions/v/relations-and-functions

https://www.khanacademy.org/math/algebra/algebra-functions/relationships_functions/v/graphical-relations-and-functions