Thursday, March 28, 2013

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

Wednesday, March 27, 2013

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

Tuesday, March 26, 2013

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

Monday, March 25, 2013

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

Wednesday, March 20, 2013

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

Tuesday, March 19, 2013

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

Monday, March 18, 2013

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

Friday, March 15, 2013

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

Thursday, March 14, 2013

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


Wednesday, March 13, 2013

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

Tuesday, March 12, 2013

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

Monday, March 11, 2013

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

Friday, March 8, 2013

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


Thursday, March 7, 2013

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

Wednesday, March 6, 2013

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

Tuesday, March 5, 2013

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/

Monday, March 4, 2013

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