Name: Date: Block: PURPOSE: To practice adding and subtracting integers with number lines and algebra tiles (charge method). SOL: 7.3 Examples: NUMBER LINES 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)=
6. -4 + 7 = 7. -7 + (-1) = 8. -6 + 8 = 9. 10 + (-8) = 10. 1 + (-5)= 11. -3 + 0 = 12. -9 + (-1) = 13. -3 + 9 =
PART TWO Algebra Tiles/Charge Method ADDING SAME SIGNS: Same sign KEEP the sign and ADD Example: 7 + 12 = 19 COMBINE Key: = Positive = Negative 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.
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.
NAME: ADDITION Integer MODELING DATE: / / 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. 3 + 6 =. 10. -1 + (-6) =.
Algebra Tiles/Charge Method Addition Directions: Draw tiles onto below mats in order to model the given problems : Key: + = Positive - = Negative 1. 4 + (-3) = 2. -8 + (-4) = 3. 7 + 5 = 4. -12 + (3) = 5. 9 + (-2) = 6. -7 + (-6) =
Subtraction Modeling Lab Name: Date: PART ONE -- NUMBER LINES Start Examples : 5 8 = -3 End Start 3 (-3) = 6 Use the below number lines to model the given subtraction problems: End 1. 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) =
PART TW0 ALGEBRA TILES / Charge Method Example: 8 6 = 2 Start with 8. Circle what needs to be taken away. What s left? Answer: 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. -9 (-3) Put 9 negative tiles on your mat. 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?
Subtraction with Zero Pairs : Example: 8-10 = -2 Step One: Step Two: Step Three: NOW, take the 10 away! Do we have 10 positives to take away??... So, we have to add 2 zero pairs in order to make 10 positives! Answer: 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? 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. 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? 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.
NAME: subtraction INTEGER MODELING DATE: / / Represent the following problems on the given number lines: 1. 6 2 =.. 2. 3 7 =. 3. -6 3 =. 4. -1 5 =. 5. 2 (-4) =. 6. -2 (-5) =. 7. -8 1 =. 8. 5 (-2) =. 9. 3 6 =. 10. -1 (-6) =.
Algebra Tiles/ Charge Method Subtraction Directions: Draw tiles onto below mats in order to model the given problems. Remember, if you don t have the necessary tiles, you need to ADD zero pairs! Key: + = Positive 1. 4 2 = - = Negative 2. -8 (-4) = 3. -8 5 = 4. 10 (-3) = 5. -9 (-2) = 6. -7 9 =