PART ONE -- NUMBER LINES

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Presentation transcript:

PART ONE -- NUMBER LINES Name: _______________________ Date: _______________________ Addition Modeling Lab PURPOSE: To practice adding integers with both number lines and algebra tiles. PART ONE -- NUMBER LINES Examples: Use the below number lines to model the given addition problems: 4 + 3 = _____ 7 + (-3) = _____ -6 + (-3) = _____ -10 + 2 = _____ -2 + (-6)= _____

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

PART TWO – Algebra Tiles Example: 7 + 12 = 19 ADDING “SAME” SIGNS: 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= ______ What do you notice about all of your above answers? 6. In the space below, write a rule for adding two positive numbers.

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.

The zero pairs are circled. We remove zero pairs! Example: 6 + (-3) = 3 In your own words, define zero pair. 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. 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. What is the solution to -5 + 3? ____ ADDING “DIFFERENT” SIGNS: Key: = Positive = Negative The zero pairs are circled. We remove zero pairs! Step One: Step Two: Answer:

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. What is the solution to 2 + (-3) ? _____ 8. Represent -2 + 8 in the mat to the right. What is the solution to -2 + 8 ? _____ 9. Represent 3 + (-5) in the mat to the right. What is the solution to 3 + (-5) ? _____ 10. 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”? 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?

Math-7 PRACTICE “ADDITION MODELING” DATE: ______/_______/_______ NAME:__________________________ “ADDITION MODELING” 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) = ………. 5 + (-4) = ………. 3 + 6 = ………. -1 + (-6) = ……….

Algebra Tiles Addition Key: + = Positive - = Negative 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) = _____