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!