Social Studies Exploratory Jan. 26, 2015 Day B Exploratory Math English LUNCH Science locker Social Studies Exploratory

Activator: Take out your packet & H.W. Jan. 26, 2015 Day B Activator: Take out your packet & H.W. On pg. 52, complete the opening exercise. Record what you can conclude from the report.

Objective(s): SWBAT: Jan. 26, 2015 Day B Apply understanding of order and absolute value when examining real-world scenarios. Understand the order of numbers is either the same as the order of their absolute value (positive number) or is the opposite order of their absolute value (negative number) (6.NS.C.7 stem)

Opening Exercise Discussion The report is not specific enough to be conclusive because 10 degrees of change could mean an increase or decrease in temperature. A listener might assume the report says an increase in temperature; however, the word “changed” is not specific enough to conclude a positive or negative change. How could you change the report to make it more informative? Using words like “increased” or “decreased” In real-world contexts, descriptive words such as debt, credit, increase, and decrease help us indicate when a given magnitude is representative of a positive or negative value.

Example 1 pg. 52 A $25 credit and a $25 charge appear similar, yet they are very different. Describe what is similar about the two transactions. The transactions look similar because they are described using the same number. Both transactions have the same magnitude (or absolute value) and, therefore, result in a change of $25 to an account balance. How do the two transactions differ? The credit would cause an increase to an account balance, and therefore, should be represented by 25, while the charge would instead decrease an account balance and should be represented by -25. The two transaction represent changes that are opposites.

Exercises 1-4 pg. 52-53

Example 2 Jan. 26, 2015 Day B The captain of a fishing vessel is standing on the deck at 23 feet above sea level. He holds a rope tied to his fishing net that is below him underwater at a depth of 38 feet.

Jan. 26, 2015 How do you feel? topic.

Example 3 pg. 54.

Jan. 26, 2015 How do you feel? topic.

Homework complete pg. 55 Lesson Summary When comparing values in real-world situations, descriptive words will help you to determine if the number represents a positive or negative number. Making this distinction is critical when solving problems in the real world. Also critical is to understand how an inequality statement about an absolute value compares to an inequality statement about the number itself.

Ticket-to-go Loni and Daryl call each other from different sides of Watertown. Their locations are shown on the number line below using miles. Use absolute value to explain who is a further distance (in miles) from Watertown. How much closer is one than the other?

Opening Exercise pg. 48 Order your integers from least to greatest. Record your integer values on page 48 Explain your reasoning for the order.

Example 1 pg. 48 Are the absolute value of your integers in order? Circle the absolute values that are in increasing numerical order.

Jan. 26, 2015 How do you feel? topic.

Example 2 pg. 49 The order of negative numbers and their absolute values

Which integer(s) is represented by the longest arrow that you drew? Why? Which nonzero integer(s) is represented by the shortest arrow? Why? Is there an arrow for the integer 0? Explain. Do these “arrows” start at the same place on the number line? Why or why not?

Exercise 1 pg. 49 Complete exercise 1 independently or with your partner.

Jan. 26, 2015 How do you feel? topic.

Lesson Summary The absolute value of positive numbers will always have the same order as the positive numbers themselves. Negative numbers, however, have exactly the opposite order as their absolute values. The absolute value of numbers of the number line increase as you move away from zero in either direction.

Ticket-to-Go Answer on your paper Bethany writes a set of rational numbers in increasing order. Her teacher asks her to write the absolute values of these numbers in increasing order. When her teacher checks Bethany’s work, she is pleased to see that Bethany has not changed the order of her numbers. Why is this?

Lesson 13 and 12: Problem Sets Page S.55 and 51* Homework Lesson 13 and 12: Problem Sets Page S.55 and 51* *depending on time

Accommodations Read or reread presentation or activity directions, as needed or after prompting Use examples to model and act as a guide for emerging learners