1/8 Chapter 4 Team Test

1.  Warm-up:  Take out your Proportions Web.  Make sure the following is added to it:

• How do you know if a graph/table/rule/situation is proportional?
• How do you calculate the unit rate?
• How can you observe the unit rate in a graph/table/rule?
• What connections can you make between different representations of proportions?
• For example, what is the relationship between a table and a graph?  What is the relationship between a rule and a table?

Work on this warm-up silently for 5 minutes, then share out with teammates for 5 minutes

2.  Chapter 4 Team Test

Homework:  Chapter 4 Closure problems are due on Tuesday and MUST be corrected using the table at the end of the Closure section.  Do only Problem #123, 125-129

1/7 Finish Posters & Ch. 4 Closure

1.  Warm-up:  Write a story (situation) that could describe this rule.

1.45 · x = y         x = pounds, y = total cost

2.  Continue working on Team Poster

• Create a Proportions Web for your assigned problem (situation, unit rate, table, graph, rule)
• Explain how the unit rate can be found in each of the different representations
• What connections can you see between the different representations?

3.  Chapter 4 Closure problems on page 237

• Do problem #123, 125-129
• These types of problems might be on the Chapter 4 test
• As you work on these problems, self-assess your understanding.
• Correct your answers using the table on page 241

Homework:  Ch. 5 ILP due tomorrow

1/6 Lesson 4.2.4 Generating Rules for Proportional Relationships

1.  Warm-up:  Find the unit rate of the following situations

a)  Alex delivers newspapers to save money for college.  He earns $2.75 for every 15 minutes of work.

b)  Frozen yogurt at Jell E. Bean's yogurt shop costs $33 for 6 pounds of yogurt.

c)  Ms. Rickard bought a new Toyota RAV4.  She drove 280 miles using 8 gallons of gas.

**Challenge:  How many miles could Ms. Rickard drive using 15 gallons of gas?


2.  Mini-lesson:  Generate a rule (equation) for proportional relationships

• I want to know how far Ms. Rickard can drive for ANY amount of gas.  We need to create a rule that will tell us this information quickly
• k · x = y
• k --> unit rate
• x --> independent variable
• y --> dependent variable

3.  Now you try:  Write an equation for parts a) and b) from the warm-up

• Challenge #1:  Use your equation to find out how much money Alex will earn if he works for 50 hours.
• Challenge #2:  Use your equation to find out how much yogurt a customer could get with $8.40

4.  Begin team projects:

• Create a Proportions Web for your assigned problem (situation, unit rate, table, graph, rule)
• Explain how the unit rate can be found in each of the different representations
• What connections can you see between the different representations?

Homework:  Lesson 4.2.4 R/P #66-69

1/5 Lesson 4.2.4 Proportions: putting it all together

1.  Warm-up:  Grab a Proportions Web from the center of the table.  Under "Graph", write the ways you know a graph is proportional.  Under "Table", write the ways you know a table is proportional.

Announcement:  Chapter 4 Test next Weds.
Topics to study:

• Scale drawings/ scale factor
• Creating a graph
• Is it proportional?  Determine by looking at tables and graphs
• Unit Rate
• Simplifying expressions (Ch. 3 skills)
• Probability

2.  Quiz: Is it proportional?

• Go to Socrative.com --> Room code: Robinett

3.  Lesson 4.2.4  Proportional relationships in different representations

• Objective:  I will represent proportional relationships in different ways: tables, graphs and rules.
• As you work today, focus on the connections you can make between the different representations.  Write these connections above the arrows on your Proportions Web.  
• Also, describe how the unit rate (constant of proportionality) can be found in each of the different representations.
• Problems 55 through 57 in teams
• Change 56 to "9 miles in 1.5 hours"

Homework:  Lesson 4.2.4 R/P # 60, 61, 63 only

1/4 Lesson 4.2.3 Unit Rate and Proportional Equations

1.  Entrance Ticket:  On the yellow paper provided, either write about or draw a picture of your favorite moment from the Winter Break.

2.  Review of Proportions- a relationship is proportional if:

• Starts at the origin
• Doubling one quantity results in doubling of the other
• Multiplication is the operation of proportions

3.  Lesson 4.2.3 Unit Rate and Proportional Equations

• Objective: I will calculate the unit rate of proportional relationships
• Problem 46 in teams.  Stop after part e)
• Mini-lesson:  Writing a proportional equation
• Start Problem 47 in teams

Homework:  Lesson 4.2.3 R/P #50 and 52 only!

Chapter 5 ILP is due on Friday!