PURPOSE: To practice adding and subtracting integers with ...

1 Name: _____ Date:_____ Block: _____ NUMBER LINES Examples: Use the below number lines to model the given ADDITION problems: + 3 = _____ + (-3) = _____ + (-3) = _____ + 2 = _____ + (-6)= _____ PURPOSE: To practice adding and subtracting integers with number lines and algebra tiles (charge method). SOL: 6. -4 + 7 = _____ 7. -7 + (-1) = _____ 8. -6 + 8 = _____ 9. 10 + (-8) = _____ 10. 1 + (-5)= _____ 11. -3 + 0 = _____ 12. -9 + (-1) = _____ 13. -3 + 9 = _____ 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.)

2 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= _____ 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/Charge Method Example: 7 + 12 = 19 Key: = Positive = Negative adding SAME SIGNS: Same sign KEEP the sign and ADD COMBINE 6.

3 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 ?

4 _____ 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. Represent the following problems on the given number lines: 1. -2 + 6 = .. 2. -4 + -2 = .. 3.

5 -5 + 3 = .. 4. 2 + 5 = .. 5. 9 + (-4) = .. 6. -3 + (-4) = .. 7. -8 + (-1) = .. 8. 5 + (-4) = .. + 6 = .. 10. -1 + (-6) = .. DATE: _____/_____/_____ NAME:_____ ADDITION Integer MODELING 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. -7 + (-6) = _____ Key: + = Positive - = Negative Algebra Tiles/Charge Method Addition Subtraction Modeling Lab Name:_____ Date: _____ PART ONE -- NUMBER LINES Examples : 5 8 = -3 3 (-3) = 6 Use the below number lines to model the given subtraction problems: 1.

6 4 3 = _____ 2. 7 9 = _____ 3. -6 3 = _____ 4. -4 2 = _____ 5. -2 (-6)= _____ 6. -5 (-3) = _____ 7. 8 2 = _____ 8. 7 (-2) = _____ 9. 4 7 = _____ 10. 2 (-5) = _____ End Start End Start PART TW0 ALGEBRA TILES / Charge Method Example: 8 6 = 2 1. 9 2 Put 9 positive tiles on the mat. Take 2 positive tiles away. How many do you have left? _____ 2. 7 5 Put 7 positive tiles on your mat. Take 5 positive tiles away. How many do you have left? _____ (-3) Put 9 negative tiles on your mat.

7 Take 3 negative tiles away. How many do you have left? _____ 4. -3 (-2) Put 3 negative tiles on your mat. Take 2 negative tiles away. How many do you have left? _____ Start with 8. Circle what needs to be taken away. What s left? Answer: Subtraction with Zero Pairs : Example: 8 -10 = -2 6. -1 2 Put 1 negative tile on your mat. Do you have 2 positive tiles to take away? _____ How can you put 2 positive tiles on your mat without changing the overall value (or charge ) of the mat?

8 How many zero pairs did you add?_____ Take away 2 positive tiles. What do you have left? _____ (This is the answer!) 7. -4 3 Put 4 negative tiles on your mat. Add zero pairs in order to take away 3 positive tiles. How many zero pairs did you add? _____ What do you have left? _____ 8. -7 5 Put 7 negative tiles on your mat. Add zero pairs in order to take away 5 positive tiles. How many zero pairs did you add? _____ What do you have left?

9 _____ Answer: Do we have 10 positives to take away?? Step Two: Step One: Step three : .. So, we have to add 2 zero pairs in order to make 10 positives! NOW, take the 10 away! 9. 1 (- 2) Put 1 positive tile on your mat. Add zero pairs in order to take away 2 negative tiles. How many zero pairs did you add?_____ What do you have left? _____ 10. 4 (- 3) Put 4 positive tiles on your mat. Add zero pairs in order to take away 3 negative tiles. How many zero pairs did you add?

10 _____ What do you have left? _____ 11. 7 (-5) Put 7 positive tiles on your mat. Add zero pairs in order to take away 5 negative tiles. How many zero pairs did you add? _____ What do you have left? _____ 12. Why are zero pairs important? 13. Do you need zero pairs to solve the following: -2 (-8) ? Use a visual to support your answer. 14. Write a rule that works for subtracting integers . Represent the following problems on the given number lines: 1.