1. Name:________________________________________________________________________________Date:_____/_____/__________

2. Name: _______________________________________________________________________________ Date: _____/_____/__________ PART ONE -- NUMBER LINES Example: 2 + (-5) = -3 Use the below number lines to model the given addition problems: 1.4 + 3 = _____ 2.7 + (-3) = _____ 3.-6 + (-3) = _____ 4.-10 + 2 = _____ 5.-2 + (-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.

3. 6.-4 + 7 = _____ 7.-7 + (-1) = _____ 8.-6 + 8 = _____ 9.10 + (-8) = _____ 10. 1 + (-5)= _____ 11. -3 + 0 = _____ 12. -9 + (-1) = _____ 13. -3 + 9 = ______

4. 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 2 + 5 in the mat below.2. Represent 8 + 3 in the mat below. 2 + 5 = ______ 8 + 3= ______ 3. Represent 9 + 0 in the mat below.4. Represent 4 + 6 in the mat below. 9 + 0 = ______ 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: 7 + 12 = 19 Key: = Positive = Negative ADDING “SAME” SIGNS: + -

5. Adding Two Negatives: 7. Represent -3 + -4 in the mat below.8. Represent -1 + -8 in the mat below. -3 + -4 = ______ -1 + -8 = ______ 9. Represent -6 + -5 in the mat below. 10. Represent -9 + -7 in the mat below. -6 + -5 = ______ -9 + -7 = ______ 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.

6. 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 -2 + 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 -2 + 1? ____ 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 -5 + 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 -5 + 3? ____ 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: + -

7. 6. Represent -4 + 9 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 + 9 ? _____ 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 -2 + 8 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 + 8 ? _____ 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?

8. Exit Ticket ADDITION MODELING LAB NAME:___________________________________________________________________________________Date:_____/_____/__________ Evaluate the following problems (give answers), AND model the problems using the number line method: 1.6 + (-4) = _____ : 2.-2 + (-1) =_____: Evaluate the following problems(give answer), AND model the problems using the “algebra tile” method: 3. -8 + 3 = _____ 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

9. Represent the following problems on the given number lines: 1. -2 + 6 = ……….. 2. -4 + -2 = ………. 3. -5 + 3 = ………. 4. 2 + 5 = ………. 5. 9 + (-4) = ………. 6. -3 + (-4) = ………. 7. -8 + (-1) = ………. 8. 5 + (-4) = ………. 9. Math-7 Homework NAME:_______________________________________________________________________________DATE: _____/______/___________ “ADDITION MODELING”

10. Directions: Draw tiles onto below mats in order to model the given problems : 1. 4 + (-3) = _____ 2. -8 + (-4) = _____ 3. 7 + 5 = _____ 4. -12 + (3) = _____ 5. 9 + (-2) = _____ 6. Key: + = Positive - = Negative... continued