Identifying Proportional and Non-Proportional Relationships in Tables Engage NY Module 1 - Lesson 3 Identifying Proportional and Non-Proportional Relationships in Tables

Materials Needed Student packet with: Class Notes Exit Ticket Problem Set

Identifying Proportional and Non-Proportional Relationships in Tables 7th Grade Module 1; Lesson 3 Identifying Proportional and Non-Proportional Relationships in Tables Student Outcomes  Students examine situations to decide whether two quantities are proportional to each other by checking for a constant multiple between measures of x and measures of y when given in a table.  Students study examples of relationships that are not proportional in addition to those that are.

Classwork Module 1 Lesson 3 TAKE OUT LESSON 3 CLASSWORK - Pg S.8

Classwork Fill in the table with your shoulder partner. Discuss the following questions and write the answers on the back of this worksheet: Scaffolding: Challenge advanced learners with the following question: If the hours change, does that mean the pay MUST change? Yes, as hours increase, the pay increases. 1.) Based on the table above, is pay proportional to hours worked? How do you know? 2.) How did you determine the pay for 4 ½ hours? 3.) How could you use the information to determine the pay for a week in which you worked 20 hours? 4.) If the quantities in the table were graphed, would the point (0,0) be on that graph? What would it mean in the context of the problem? (what is the real world meaning) 5.) In this example, is pay proportional to the hours worked? How do you know? Discuss with students at the end of the 20 minutes: Yes, the amount of money is proportional to the number of hours worked because there is a number, 8, such that each measure of the first quantity multiplied by this same number, 8, gives the corresponding measure of the second quantity.

You must have a written explanation that defends your answer Examples 1-4 Pages S.9-S.10 Have students work on examples 1-3 with a shoulder partner or individually. Examples 1-4 For Examples 1-3, determine if is proportional to . Justify your answer. You must have a written explanation that defends your answer Complete Example 4 as a class, pausing to allow students to explain how they arrived at their answers.  What is the value of the constant? Explain how the constant was determined.

Optional If time permits: Follow – Up Activity: Have students work with a partner. Give each pair 2 3x5 index cards. On one index card, the students work together to create a table of two quantities that are proportional to one another. On the other index card, the students create a “story problem” that would generate the table. Once complete, the teacher collects all the table cards and all the story cards. The teacher displays the table cards around the room and randomly passes out story cards. Students are to match their story to the correct table representation.

Closing Answer the following question on your post it and place it on the door on your way out. How can you use a table to determine whether the relationship between two quantities is proportional?

Copy the following table on a piece of paper and answer the questions below individually, be prepared to hand it in.

Problem Set Homework... Due tomorrow Module 1 Lesson 3 Pages S.11 - S.12 Complete questions 1-9