Rational Exponents

Comic of the Day

Warm Up and Homework Questions
Simplify the following:


Announcements & Deadlines

• Unit 7 Supplemental Homework (12 questions on simplifying radicals) is also due on Sun, Apr 14 at 23:59
• Homework (29 questions) for unit 7 due Sun, Apr 14 at 23:59
• Quiz 7 (46 questions, 120 min, 2 tries) opens Wed, Apr 10 and closes Sun, Apr 14 at 23:59
• Next unit exam (in class) Mon, Apr 15 (1 hour)
• Final exam - Thu, Apr 25, 10:15-12:10, room E225 (across from my office bank)

Today - Rational Exponents
Make a table of values, where x is the number of doublings and y is the value after doubling




a) Continue the table of values for x=4,5,6
b) What would it mean to double 3 and a half times?  4 and a third?
c) What would it mean to double 0 times?
d) What would it mean to double -1 times?

Notes p. 229-231
Homework #20-29

Tomorrow - Continue Rational Exponents

For more information
https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/rational-exponents-and-exponent-laws
https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/more-rational-exponents-and-exponent-laws

Mixed and Entire Radicals

Comic of the Day

Warm Up and Homework Questions
a) Write the prime factorization of 10800
b) Simplify the following:


c) Simplify the following:


d) Simplify the following:


Announcements & Deadlines

• Homework (29 questions) for unit 7 due Sun, Apr 14 at 23:59
• Quiz 7 (19 questions, 90 min, 2 tries) opens Wed, Apr 10 and closes Sun, Apr 14 at 23:59
• Next unit exam (in class) Mon, Apr 15 (1 hour)
• Final exam - Thu, Apr 25, 10:15-12:10, room E225 (across from my office bank)

Today - Mixed and Entire Radicals

Notes p. 222-228
Homework #1-19

Tomorrow - Rational Exponents
Pre-read p. 229-231


For more information
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/understanding-square-roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/square_roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/approximating-square-roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/square_roots_2
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/finding-cube-roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/cube_roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radicals
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/more-simplifying-radical-expressions
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radical-expressions1
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radical-expressions-2
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radical-expressions-3
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/simplifying_radicals

Introduction to Radicals

Comic of the Day

Warm Up and Homework Questions
Mad Minute Monday
a) Write the prime factorization of 144
b) Reduce the following:


Announcements & Deadlines

• Next unit exam (in class) Mon, Apr 15 (1 hour)
• Final exam - Thu, Apr 25, 10:15-12:10, room E225 (across from my office bank)

Today - Perfect Squares, Cubes and Roots, Mixed & Entire Radicals

Notes
p. 222-228
Homework #1-19

Tomorrow - Mixed and Entire Radicals


For more information
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/understanding-square-roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/square_roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/approximating-square-roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/square_roots_2
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/finding-cube-roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/cube_roots
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radicals
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/more-simplifying-radical-expressions
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radical-expressions1
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radical-expressions-2
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radical-expressions-3
https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/e/simplifying_radicals

Solving Applications of Systems

Comic of the Day

Warm Up and Homework Questions
The following items are listed in a catalog:
Widget --------- $2.00 ---------- 1 kg
Gizmo --------- $3.50 ---------- 1.5 kg
You place an order which costs $49 and weighs 22 kg.
a) Write an equation to relate the cost/value
b) Write an equation to relate the weight

Announcements & Deadlines

• Thursday's class (8:15-10:10) will be in J208 computer lab, and will include time to complete the Student Feedback on Instruction (SFI) evaluation
• 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)
• Final exam - Thu, Apr 25, 10:15-12:10, room E225 (across from my office bank)

Today - Applications of Systems of Equations
Notes
p. 217-219
Homework #33-41

Tomorrow - Review
Bring homework questions that you are stuck on

For more information
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/algebraic-word-problem
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-word-problems/e/systems_of_equations_word_problems
http://patrickjmt.com/word-problem-involving-the-perimeter-of-a-rectangle-%E2%80%93-ex-1/
http://patrickjmt.com/word-problem-involving-the-perimeter-of-a-rectangle-ex-2/

Applications of Systems of Equations

Comic of the Day

Warm Up and Homework Questions
a) How many solutions does the following system have?


b) If you had exactly 13 coins in your pocket, with only dimes and nickels, how many of each coin might you have?  Make a table of values to keep track of the possibilities.
c) If you had exactly $1 worth of change in your pocket, with only dimes and nickels, how many of each coin might you have?  Make a table of values to keep track of the possibilities.

Announcements & Deadlines

• Thursday's class (8:15-10:10) will be in J208 computer lab
• 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 - Applications of Systems of Equations
http://www.mathplayground.com/algebraic_reasoning.html
Notes
p. 213-219
Homework #33-41

Tomorrow - Review
Bring homework questions that you are stuck on

For more information
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/algebraic-word-problem
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-word-problems/e/systems_of_equations_word_problems
http://patrickjmt.com/word-problem-involving-the-perimeter-of-a-rectangle-%E2%80%93-ex-1/
http://patrickjmt.com/word-problem-involving-the-perimeter-of-a-rectangle-ex-2/

Algebraic Solutions, Modelling Linear Equations

Comic of the Day

-

Warm Up
a) Mad Minute with Integers
b) Solve the system of equations by substitution or elimination

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 - Algebraic Solutions, Modelling Linear Equations
Notes
p. 209-215
Homework #28-32

Tomorrow - Applications of Systems of Equations
Pre-read p. 216-219

For more information
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/special-types-of-linear-systems
https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/e/solutions_to_systems_of_equations
http://patrickjmt.com/systems-of-linear-equations-inconsistent-systems-using-elimination-by-addition-example-1/

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