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Name:________________________________________________________________________________Date:_____/_____/__________

Name: _______________________________________________________________________________ Date: _____/_____/__________ PART ONE -- NUMBER LINES Example: 2 + (-5) = -3 Use the below number lines to model the given addition problems: = _____ (-3) = _____ (-3) = _____ = _____ (-6)= _____ PURPOSE: To practice adding integers with both number lines and algebra tiles. PURPOSE: To practice adding integers with both number lines and algebra tiles.

= _____ (-1) = _____ = _____ (-8) = _____ (-5)= _____ = _____ (-1) = _____ = ______

Directions: Draw tiles onto below mats in order to model given problems (you may use “+” signs for positives and “-” signs for negatives: Adding Two Positives: 1.Represent in the mat below.2. Represent in the mat below = ______ 8 + 3= ______ 3. Represent in the mat below.4. Represent in the mat below = ______ 4 + 6= ______ 5.What do you notice about all of your above answers? 6. In the space below, write a rule for adding two positive numbers. PART TWO – Algebra Tiles Example: = 19 Key: = Positive = Negative ADDING “SAME” SIGNS: + -

Adding Two Negatives: 7. Represent in the mat below.8. Represent in the mat below = ______ = ______ 9. Represent in the mat below. 10. Represent in the mat below = ______ = ______ 11. What do you notice about all of the above answers? 12. In the space below, write a rule for adding two negatives. 13. Write a rule that works for both adding two positives and adding two negatives.

Example: 6 + (-3) = 3 1.In your own words, define zero pair. 2.When adding a positive # and a negative #, will you always have zero pairs? 3. Represent in the mat to the right. Circle the zero pair(s). How many zero pairs are in the problem ? ____ What is the solution to ? ____ 4. Represent 4 + (-1) in the mat to the right. Circle the zero pair(s). How many zero pairs are in the problem? ____ What is the solution to 4 + (-1 )? ____ 5. Represent in the mat to the right. Circle the zero pair(s). How many zero pairs are in the problem? ____ What is the solution to ? ____ Key: = Positive = Negative The zero pairs are circled. We remove zero pairs! Step One: Step Two: Answer:The answer is “3” because there are 3 positives left over. ADDING “DIFFERENT” SIGNS: + -

6. Represent in the mat to the right. Circle the zero pair(s). How many zero pairs are in the problem ? _____ What is the solution to ? _____ 7. Represent 2 + (-3) in the mat to the right. Circle the zero pair(s). How many zero pairs are in the problem ? _____ What is the solution to 2 + (-3) ? _____ 8. Represent in the mat to the right. Circle the zero pair(s). How many zero pairs are in the problem ? _____ What is the solution to ? _____ 9. Represent 3 + (-5) in the mat to the right. Circle the zero pair(s). How many zero pairs are in the problem ? _____ What is the solution to 3 + (-5) ? _____ 10. Why are some answers positive and some answers negative? 11. How can you predict the sign of the sum (answer) before you actually “do the math”? 12. Write a rule that works for adding integers with different signs. In your opinion, which method is better– number lines or algebra tiles? Why?

Exit Ticket ADDITION MODELING LAB NAME:___________________________________________________________________________________Date:_____/_____/__________ Evaluate the following problems (give answers), AND model the problems using the number line method: (-4) = _____ : (-1) =_____: Evaluate the following problems(give answer), AND model the problems using the “algebra tile” method: = _____ 4.In your own words, describe what a zero pair is. ____________________________________________________________________________________ ____________________________________________________________________________________ 5.Would the answer to 20 + (-25) be positive or negative? __________________ Why? ____________________________________________________________________________ ____________________________________________________________________________ Key: + = Positive - = Negative

Represent the following problems on the given number lines: = ……… = ……… = ……… = ……… (-4) = ……… (-4) = ……… (-1) = ……… (-4) = ………. 9. Math-7 Homework NAME:_______________________________________________________________________________DATE: _____/______/___________ “ADDITION MODELING”

Directions: Draw tiles onto below mats in order to model the given problems : (-3) = _____ (-4) = _____ = _____ (3) = _____ (-2) = _____ 6. Key: + = Positive - = Negative... continued