1/5 Lessons 4.1.6 and 4.1.7 Graphing Equations without an x to y table

1.  Warm-up:  Stick puzzle on side whiteboard

Announcement:  Unit 5 (8th grade Chapters 3, 4, and 5) Test next Tuesday
Topics to study:

• Solving equations
• Patterns, graphs, tables and rules
• y = mx + b

2.  Lessons 4.1.6 and 4.1.7

• Objective: I will graph the equation of a line without using an x to y table
• Problems 56 and 57 in teams
• Problem 58 b) individually
• Imagine you are explaining to a new student who has never graphed an equation before
• Problem 64 individually, then share out patterns with your teammates
• Problem 66 in teams

Homework:  Lesson 4.1.7 R/P skip #71

1/4 Lesson 4.1.6 Graphing Equations without a Table

1.  Warm-up (in teams): Take out your own Representations of Patterns Web.  Think about the connections between patterns, rules, tables and graphs, as you solve this problem.

What statements can you make about the tile pattern at the right?  How many tiles are in Figure 0?  How many tiles are in Figure 1?  What is the growth of the pattern?  Can you write a rule?



2.  Lesson 4.1.6 Graphing a Line without a Table

• Objective:  I will graph the equation of a line without using an x to y table
• Problems 54 through 56 in teams
• Problems 55 and 56 require graph paper

Homework:  Lesson 4.1.6 R/P

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)