PURPOSE: To Practice Adding And Subtracting Integers With .

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Name: Date:Block:PURPOSE: To practice adding and subtracting integers with number linesand algebra tiles (charge method).SOL: 7.3NUMBER LINESExamples: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 MethodADDING “SAME” SIGNS: Same sign KEEP the sign and ADDExample:7 12 19COMBINEKey: Positive NegativeDirections:Draw tiles onto below mats in order to model given problems (you may use “ ” signs forpositives and “-” signs for negatives:Adding Two Positives:1.Represent 2 5 in the mat below.2 5 2.Represent 8 3 in the mat below.8 3 3.Represent 9 0 in the mat below.9 0 4.Represent 4 6 in the mat below.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 AdditionDirections: 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

Name:Date:Subtraction Modeling LabPART ONE -- NUMBER LINESStartExamples : 5 – 8 -3EndStart3 – (-3) 6Use the below number lines to model the given subtraction problems: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) End

PART TW0 – ALGEBRA TILES / Charge MethodExample: 8 – 6 21.9–2Put 9 positive tiles on the mat.Take 2 positive tiles away.How many do you have left?2.7–5Put 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?Start with 8.Circle whatneeds to betaken away.What’s left?Answer:

Subtraction with “Zero Pairs”:Example:8 -10 -2Step One:Step Two:Step Three:NOW,take the10 away!Answer:Do we have10 positivesto takeaway?6. . . So, we haveto add 2 zeropairs in order tomake 10positives!-1 – 2Put 1 negative tile on your mat.Do you have 2 positive tiles to take away?How can you put 2 positive tiles on your matwithout 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 – 3Put 4 negative tiles on your mat.Add zero pairs in order to take away3 positive tiles.How many zero pairs did you add?What do you have left?8.-7 – 5Put 7 negative tiles on your mat.Add zero pairs in order to take away5 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 away2 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 away3 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 away5 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 SubtractionDirections: 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!1.4 – 2 2.-8 – (-4) 3.-8 – 5 4.10 – (-3) 5.-9 – (-2) 6.-7 – 9 Key: Positive- Negative

Subtraction with “Zero Pairs”: Example: 8 -10 -2 to take . . . So, we have make 10 6. -1 – 2 Put 1 negative tile on your mat. Do

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