11/30 Finish Lesson 2.1.9

1.  Entrance Ticket- Solve:  4 - (2x + 6) + 3x - 1 =  2x + 5

• Record your process
• Check that your solution is correct

2.  Announcements:

• Unit 4 Test this Thursday (12/3)
• Math Counts:  Interested on being on the LOMS Math team? Meet with Mr. Kirby @ lunch tomorrow for more details

3.  Lesson 2.1.9 Solving equations

• Finish Problem 83 (page 85)
• Do Problem 89 in class (part of the R/P)
• Additional Challenge: 9th grade Algebra problem on the white board

Homework:  Lesson 2.1.9 R/P

11/20 Lessons 2.1.8 and 2.1.9 Solving Equations

1.  Warm-up:  Stick puzzle on side whiteboard

2.  Lessons 2.1.8 and 2.1.9

• Objective:  I will use "legal moves" to simplify and solve algebraic equations
• Problem 75 (page 78) and Problem 83 (page 81) in teams.
• Always check that your answer is correct by substituting your solution for "x" back into the original equation
• Hint: Some equations might have no solution.  What do these types of equations have in common?

No Homework over the break! Have a safe and relaxing holiday!

11/19 Lesson 6.1.4 Solving, writing and graphing inequalities

1.  Warm-up:  Yesterday, we came across some scenarios in which the 3 "legal moves" couldn't be applied, yet the expressions weren't fully simplified.

Two such scenarios are posted on the side whiteboard.  For each scenario, create a legal move that would simplify the expressions into a single variable on one side, and a collection of unit squares on the other.

2.  Lesson 6.1.4 Solving, writing and graphing inequalities.

• Objective:  I will solve, write and graph inequalities related to real-world problems
• Team Check marks!  Problems 36 through 40

Homework:  Lesson 6.1.4 (7th grade) R/P

11/18 Lesson 6.1.3 Solving and Graphing Inequalities

1.  Warm-up:

a)  Which expression is larger, Mat A or Mat B?

b)  Find at least 4 values of x that would make Mat A larger.

2.  Lesson 6.1.3 Solving and Graphing Inequalities

• Objective:  I will solve and graph inequalities using Expression Comparison Mats
• Problem 26 as class discussion + Mini-lesson
• Build-Simplify-Graph cooperative learning worksheet

Homework:  Lesson 6.1.3 R/P

11/17 Unit 3 Project Gallery Walk

1.  Warm-up:  On Problem #1 of yesterday's Sage and Scribe activity, we were left with the following expressions:

Left expression                      Right expression
        x                              1

Which is greater?  What additional information do you need to know?

What if the Left expression is 5y and the Right expression is 4y?


2.  Unit 3 Project Gallery Walk

• Half the class sets up, the other half walks around the room
• Respect people's projects.  Do not touch until given permission.  
• Ask questions.  If you are displaying your project, be ready with answers
• Leave constructive feedback
• A positive comment followed by a suggestion

3.  Unit 3 Project Turn-in

• Paper turn-in vs. Digital turn-in

4.  Finish Sage and Scribe activity

Homework:  Lesson 2.1.7 R/P (answers in GC)

11/16 Lesson 2.1.7 (8th grade) Simplifying and Recording Work

1.  Warm-up:  Use Algebra Tiles to compare the following expressions

Which is greater:   −1 + 6y − 2 + 4x − 2y  or  x + 5y − (−2 + y) + 3x − 6

2.  Lesson 2.1.7 (8th grade) Simplifying and Recording Work

• Objective:  I will simplify expressions and record my process
• Cooperative learning activity: Sage and Scribe
• Sage builds original expressions, then simplifies using "legal moves"
• Scribe records simplified expressions, one step at a time
• Switch after completing a problem

3.  Closure:  Problem #1-  Which side is greater?  What information would you need in order to answer this question?  For which values of x would the left side be greater?  The right side?

Homework:  Finish Unit 3 project! 

11/13 Lesson 2.1.5-6 Which is Greater?

1.  Warm-up:  Simplify the following expressions using the Expression Mat.  Record each step using the strategy we practiced yesterday (see below).

a)  4x -(x² + y -4) + x² -3            b)  2y + 4x - 3y - (4 + 2x) - x² + y² + 3

• Strategy:
• Build original expression.  Record original expression
• Move all tiles to "+" region.  Record new expression
• Remove zero pairs. Record simplified expression

2.  Announcements:

• Weekly Privilege Prize
• Unit 3 Project due Tuesday

3.  Homework problem from last night:  3d² - 1, for d = -5

4.  Lesson 2.1.5 and 2.1.6  Which is Greater? (starts on page 65)

• Objective:  I will determine which expression is greater using "legal moves" to simplify expressions.
• Problem 47 as a mini-lesson:  Which is greater?
• Problem 48 in teams. Stoplight!  Do not move ahead
• Discussion:  What are "legal moves?"
• Problems 56 and 57 in teams

5.  Closure:  Problem 57, part b)   Can you tell which expression is greater? Why or why not?

Homework:  Work on your Unit 3 project (details in GC)

11/12 Lesson 2.1.4 Simplifying Algebraic Expressions

1.  Warm-up:  Using only unit tiles, make "zero" on your expression mat.  How many ways can you accomplish this task?

2.  Lesson 2.1.4 Simplifying Algebraic Expressions

• Objective:  I will simplify algebraic expressions by removing zero pairs
• Problem 36 as mini-lesson
• Strategy:
• Build original expression.  Record original expression
• Move all tiles to "+" region.  Record new expression
• Remove zero pairs. Record simplified expression
• Problems 37 through 39 in teams

3.  Closure:  Describe the different ways you can represent zero using your Expression Mat.  Include an example and draw a picture.

Homework:  Lesson 2.1.4 (8th grade) R/P

11/10 Introduction to the Expression Mat

1.  Warm-up:  What does  " - " mean?  Find as many ways as you can to describe this symbol and discuss how these descriptions differ from each other.

Announcements:

• Unit 3 Project (details in GC) due next Tuesday

2.  Lesson 2.1.3 (8th grade)  Intro to Expression Mats

• Objective:  I will represent expressions in multiple ways
• Expression Mat Mini-lesson
• Do Problems 25 through 27 in teams (check mark on side whiteboard)

Additional Challenge Problems (on front white board)

Homework:  Lesson 2.1.3 R/P (due Thursday)

11/9 Lesson 2.1.2 Simplifying Algebraic Expressions

1.  Warm-up:

For the following problems:

• Build the expression with Algebra Tiles
• Simplify the expression by grouping like terms (if possible)
• Write the name of the simplified collection of tiles

2.  Lesson 2.1.2 Simplifying Algebraic Expressions

• Objectives:
• I will find the perimeter of Algebra Tile models
• I will simplify algebraic expressions by combining like terms
• Problems 13 and 14 in teams
• Additional Challenge: Problem 15

Homework:  Lesson 2.1.2 R/P (answers in GC)

11/5 Lesson 2.1.1 (8th grade)

1.  Warm-up:  Review Team Test with your team.  Do not log-on to computers.  We will change seats in a moment

2.  Weekly Privilege Prize:  No weekend homework!

3.  New Teams, new seats, new computers

4.  Lesson 2.1.1 Intro to Algebra Tiles

• Objectives:
• I will learn the names of the different types of tiles
• I will combine like terms using Algebra Tiles
• Introduction to Algebra Tiles

5.  Closure:  Explain when tiles can and cannot be combined

Homework:  Lesson 2.1.1 R/P (8th grade)

11/3 Finish Lesson 5.2.6

1.  Warm-up:  Is it a fair game?

2.  Evens and Odds discussion

• After looking at the mystery spinners (click the link),  how did it change our initial predictions?
• What is the actual theoretical probability of spinning even?  Odd?
• Showcase of multiple methods

3.  Unit 3 Project announcement

4.  Finish Lesson 5.2.6 (Problem 82) 

Homework:  Lesson 5.2.6 R/P #88-92

                     Unit 3 Project (due 11/17)

11/2 Lesson 5.2.6 Probability of Compound Events

1.  No Warm-up today.  Begin working on Lesson 5.2.6 in teams

2.  Lesson 5.2.6 Probability of Compound Events

• Do Problems 77 and 78 in teams (16 minute timer)
• Finished early?  Work on R/P
• Game Time:  Odds and Evens
• Work with your team to build a probability table.  Which result is more likely, odd or even?

Homework:  Lesson 5.2.6 core problem # 78 (if not finished in class), and R/P #83-87