Download Algebra Tiles Method for Adding and Subtracting Integers and more Exercises Algebra in PDF only on Docsity!
Name: _____________________________ Date:_____________ Block: __________
NUMBER LINES
Examples:
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 and subtracting integers with number lines
and algebra tiles (charge method). SOL: 7.
6. -4 + 7 = _____
7. -7 + (-1) = _____
8. -6 + 8 = _____
9. 10 + (-8) = _____
10. 1 + (-5)= _____
11. -3 + 0 = _____
12. -9 + (-1) = _____
13. -3 + 9 = ______
- 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? _____
- 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)? _____
- 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? _____
- 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)? _____
- Why are some answers positive and some answers negative?
- How can you predict the sign of the sum (answer) before you actually “do the math”?
- Write a rule that works for adding integers with different signs.
Represent the following problems on the given number lines:
DATE: ______/_______/_______
NAME:__________________________
“ADDITION Integer MODELING”
Subtraction Modeling Lab
Date:^ Name:_______________________ _______________________
PART ONE -- NUMBER LINES
Examples : 5 – 8 = -
Use the below number lines to model the given subtraction problems:
- 4 – 3 = _____
- 7 – 9 = _____
- -6 – 3 = _____
- -4 – 2 = _____
- -2 – (-6)= _____
- -5 – (-3) = _____
- 8 – 2 = _____
- 7 – (-2) = _____
- 4 – 7 = _____
- 2 – (-5) = _____
End
Start
End
Start
PART TW0 – ALGEBRA TILES / Charge Method
Example: 8 – 6 = 2
Put 9 positive tiles on the mat. Take 2 positive tiles away.
How many do you have left? _______
- 7 – 5 Put 7 positive tiles on your mat. Take 5 positive tiles away. How many do you have left? _______
- -9 – (-3) Put 9 negative tiles on your mat.Take 3 negative tiles away.
How many do you have left? _______
- 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 betaken away. What’s left? Answer:
- (^) Put 1 positive tile on your mat. 1 – (- 2) Add zero pairs in order to take away 2 negative tiles. How many zero pairs did you add?_______ What do you have left? _______
- (^) Put 4 positive tiles on your mat. 4 – (- 3) Add zero pairs in order to take away3 negative tiles. How many zero pairs did you add? ________ What do you have left? ________
- (^) Put 7 positive tiles on your mat. 7 – (-5) Add zero pairs in order to take away5 negative tiles. How many zero pairs did you add? _________ What do you have left? _________
- Why are zero pairs important?
- Do you need zero pairs to solve the following: -2 – (-8)? Use a visual to support your answer.
- Write a rule that works for subtracting integers.
Represent the following problems on the given number lines:
DATE: ______/_______/_______
NAME:__________________________
“subtraction INTEGER MODELING”
