12/17 Lesson 4.1.5 Putting it all together

1.  Warm-up:  Grab a graphic organizer from your table.

Instructions: Draw lines and/or arrows to show which representations you have learned so far.  Explain the connections between the different representations.  Be sure to include anything you figured out about how the numbers in the equations (rules) relate to tile patterns.

2.  Lesson 4.1.5 Putting it all together (patterns, rules, graphs, tables)

• Challenge Problem #42- For each subproblem:
• Generate the rule
• Create an x to y table
• Create a graph
• Draw the pattern (Figures 0 through 3)
• You may answer the questions in any order, but finish the problem completely before moving on to the next one.

3.  Update your Representations of Patterns Web with any new connections you made after completing this lesson

Homework:  Lesson 4.1.5 8th grade R/P (#44-48 only!)

12/16 Lesson 4.1.4 y = mx + b

1.  Lesson 4.1.4: Introducing y = mx + b

• Do Problems 31 through 33 in teams
• Resource Managers: grab 1 piece of graph paper for each team member
• Do Problems 34 and 35 individually.  After all team members are finished compare your answers.

2.  If you finish the lesson with time remaining, work on the homework for tonight (or tomorrow night)

Homework:  Lesson 4.1.4 R/P

Lesson 4.1.3 and 4.1.4 y = mx + b

1.  Warm-up:  

2.  Lessons 4.1.3 Connecting Linear Rules to Graphs

• Target questions:
• How is growth shown in a graph?
• How is growth shown in a rule?
• How can you determine the number of tiles in Figure 0 from a graph?
• How can you determine which tile pattern grows faster by looking at a graph?
• Problems 22 and 23 in teams (page 159)
• Resource Managers grab books and a resource page for problem 22
• Problem 24 as an individual (silently).  Answer the target questions in your notebook

3.  Lesson 4.1.4: y = mx + b

• Problems 31 through 34 in teams

Homework:  Lesson 4.1.3 R/P 8th grade (answers in GC)

12/14 Lesson 4.1.2 Seeing growth in different representations

1.  No warm-up today

2.  Lesson 4.1.2 Growth in different representations (patterns, equations, graphs)

• For Tile Patterns 1 through 3:
• Give every team member a chance to examine the pattern individually (silently)
• Then, talk about what you see.  How is the figure growing?
• Sketch the next figure (figure 4) and the first figure (figure 0)
• Where are the new tiles being added in the next figure?  Using a colored pencil or highlighter, color in the new tiles in each figure
• Label the figure with a rule (an algebraic equation) where y represents number of tiles and x represents the figure number.
• What will the 100th figure look like?  Describe it in words.  How many tiles will there be?
• Answer the questions in Problem 14.  Be prepared to share your thinking with the class.
• Examine Tile Pattern 4 and answer the questions in Problem 15

Homework:  Lesson 4.1.2 R/P (answers in GC)

12/11 Wrap up Chapter 3 (8th grade)

1.  Warm-up: Distributive Property practice (on side whiteboard)

2.  Snack time! Nom nom

3.  Wrap up Chapter 3

• Checkmark Consensus: Problem 100, 101 on page 135.  Problems 110-112 on page 138

No homework this weekend!

12/10 Lessons 3.2.4 and 3.2.5 Finding patterns, writing rules, and solving equations

1.  Warm-up:  On the piece of graph paper provided on your desk, create an x to y table for the equation y = 2.5x + 1  (see side whiteboard for a hint on how to get started)

2.  How to make a great graph:

• ALWAYS use graph paper
• Use a ruler. Make a neat graph
• Create an x to y table
• Choose an appropriate scale
• Label the x and y axis
• Give the graph a title

3.  Lessons 3.2.4 and 3.2.5 Finding patterns, writing rules, and solving equations

• Problem 99 in teams (on page 135)  Stoplight problem! You may work on problem 100 while waiting for other teams to finish.
• Problem 107 as class discussion
• Problems 108 through 112 in teams (on page 138)

Homework:  3.2.5 R/P (answers in GC)

12/9 Lesson 3.2.3 Using Equations to Solve Problems

New Seats!  We don't need computers today, but log-on anyway to avoid delay in the future

1.  Warm-up: Diamond problems on side whiteboard

2.  Lesson 3.2.2 Using Equations to Solve Problems

• Objectives:
• I will use equations to solve problems
• I will solve equations that can't be solved with algebra tiles (rational coefficients)
• Problems 89-92 in teams (page 131) using Check mark Consensus
• Stoplight! You may work on your R/P while waiting for other teams to finish
• Problem 93 guided by Mr. Robinett
• How to make a great graph:
• ALWAYS use graph paper
• Use a ruler. Make a neat graph
• Create an x to y table
• Choose an appropriate scale
• Label the x and y axis
• Give the graph a title

Homework:  Lesson 3.2.3 R/P (answers in GC)

12/8 Lessons 3.1.1 and 3.1.3 Finding Patterns and Writing Rules

1.  Warm-up: 

2.  Lessons 3.1.1 and 3.1.3 Finding Patterns and Writing Rules

• Objectives:  
• I will investigate patterns to determine a rule
• I will express the patterns that I find in an x to y table, an algebraic expression, and a graph
• Resource page problems 3-2 and 3-3
• In teams, determine the pattern, fill in the missing values, and write a rule (in words or algebraically)
• Check the answer key in Google Classroom
• Resource page problem 3-18 (on the back)
• Draw Figure 0 and Figure 4, fill in the x to y table, find algebraic rule, graph the data
• Check the answer key in Google Classroom

Homework: 3.1.1 R/P (8th grade)

12/7 Lesson 3.2.2 Guess My Number

1.  Warm-up:  

I'm thinking of a number that...

• When you double my number
• then add 8
• then subtract my number
• and subtract 4

You get...

• My number plus 4

Guess my number.  Check that your solution is correct.  Then, write an algebraic equation to represent the situation.

2.  Lesson 3.2.2 Guess My Number

• Objectives:
• I will represent word problems with algebraic equations
• I will determine how many solutions an equation has
• Guess my Number game
• Problem 81 in teams:  How many solutions does each equation have?  Check your solution if applicable.
• Individually: Make your own Guess my Number Game.  You must know the solution to your own game!
• Share your game with your teammates to solve.

Homework:  Lesson 3.2.2 R/P (8th grade) #86-88 only

12/4 Lesson 3.2.2 (8th grade) Guess My Number

1.  Return Unit 4 Tests

• Feedback
• Re-collect

2.  Math Attitudes Survey (click the link)

3.  Lesson 3.2.2 Guess My Number

• Objectives:
• I will represent word problems with algebraic equations
• I will determine how many solutions an equation has
• Guess my Number game
• Problem 81 in teams:  How many solutions does each equation have?  Check your solution if applicable.

Homework:  Lesson 3.2.2 R/P (8th grade) #86-88 only

12/3 Unit 4 Test

After you have finished the test, turn it face down on your desk and:

• Try a logic puzzle from this website (click the link)
• Or a Calcudoku puzzle, also known as Ken-Ken (click the link)
• Read silently

12/2 Team Test & Study Guide

1.  No warm up. We have too much to do, and too little time! You will need to log on to a computer

2.  Questions about Closure problems?  These types of problems will be on the test, so now is the time to ask.

• Correct Closure problems tonight (if you haven't already).  Use the table at the end of the Closure section to guide your studying tonight.

3.  Finish Team Test

• Add your equation and a picture of your finished GO to our class document in Google Classroom.
• Try to solve other teams' equations.  Use their GO if you get stuck.
• This document is a great study tool for tonight

Homework:  Study for the Unit 4 test tomorrow

12/1 Unit 4 Team Test

1.  Warm-up:  Checking solutions (see side whiteboard)

2. Announcements:

• Mistakes I'm noticing
• Math Counts meeting today at lunch
• Unit 3 Project feedback

3.  Team Test: Be the Teacher!

• From the 8th grade book Ch. 2 Closure on page 84
• Design one problem that would allow you to assess students' understanding of the major concepts from Ch. 2

4.  Unit 4 Closure problems:

• 8th grade book Ch. 2 Closure #91, 93, 95
• 7th grade book Ch. 6 Closure #145

Homework:  Finish Unit 4 Closure problems (see above)