Bryan Cazares duncan - Gizmo Worksheet: Add & Subtract Integers PDF

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very nice gizmo that will be telluing you about the non challant work of iron man and his dad...

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Adding and Subtracting Integers with Chips Name:

bryan cazares

Date:

Directions: Follow the instructions to go through the simulation. Respond to the questions and prompts in the orange boxes. TO OPEN THE GIZMO: 1) Go to this website: https://www.explorelearning.com 2) Select Login/Enroll and enter our Pre-Algebra Class Code (get this code from your teacher). 3) If you already have a Gizmos account, login with that account. If you do not have a Gizmos account, you will need to create one at this time. (Write down your username and password so you don’t forget!) 4) Once in your Gizmos account, select the “Adding and Subtracting Integers with Chips” Gizmo.

Gizmo Warm-up:

The Adding and Subtracting Integers with Chips Gizmo allows you to use chips to find sums and differences of positive and negative integers.

The answer to an addition problem. The answer to a subtraction problem. Whole numbers and their opposites (… -3, -2, -1, 0, 1, 2, 3, …) A 1 chip and a –1 chip. A zero pair sums to zero (1 + -1 = 0).

1. To get the Gizmo ready, select Explore.

Next, drag four of the yellow 1 chips and three of the red –1 chips into the Modeling Area. What is the sum that you have modeled? (You can find the sum in the blue bar towards the top of the Gizmo.) The sum is:

1

2. Drag a zero pair (a 1 chip and a –1 chip) from the center into the modeling area. Does this change the total value (the sum) of the chips in the area? Explain. no becausse those 2 chips cancel eachother out

3. Remove all of the zero pairs you can by dragging 1 chips over –1 chips. (Note: You can also remove zero pairs by selecting a whole region of zero pairs and then clicking inside the region.) Does removing zero pairs change the sum? Explain. no because the sum is still one i need to either add 1 positive chip or 1 negative to change the sum

Activity A: Adding Integers 1. To get the Gizmo ready, select Addition from the choices at top right. 2. Check that under Evaluate the problem is 5 + (–2). (If not, refresh your browser to restart the Gizmo.) Follow the Instructions to model 5 and –2 in the modeling area. Answer the questions below as you go: A. How many 1 chips did you use? How many –1 chips?

5 chips and -2 chips

B. Click Continue and remove the zero pairs. How many did you remove?

2

C. Click Continue and enter the sum. What is the sum of 5 and –2?

3

3. Click New. The problem should now be (–7) + 3. Model this sum using chips. A. How many 1 chips did you use? How many –1 chips?

3 one chips, 7 negative chips

B. Click Continue and remove the zero pairs. How many did you remove?

3 -4

C. Click Continue and enter the sum. What is the sum of –7 and 3?

YOU WILL NEED TO KNOW HOW TO TAKE A SCREENSHOT FOR THIS NEXT SECTION: To take a screenshot, click on the tools button at the bottom left and then click on the “Screen shot” button.

4. Practice 5 more addition problems using the Gizmo. Take a screenshot of each problem with its answer and paste it in the space below: Follow the instructions at the top of this assignment to enroll yourself in my class. I sent the access code for your class to your canvas email. im not in your class so i cant do this

5. Use what you have learned to solve the problems below. You can check your answers to parts A and B with the Gizmo. (You will need to use the Explore mode of the Gizmo.) A. –6 + (–5)

-11

B. 7 + (–12)

-5

C. –22 + 23

1

Activity B: Subtracting Integers 1. To get the Gizmo ready, select Subtraction from the choices at top right. 2. Check that under Evaluate the problem is (–4) – (–3). (If not, refresh your browser to restart the Gizmo.) Follow the Instructions to model –4 in the modeling area. Answer the questions below as you go: A. How many –1 chips did you use to model –4?

4 -1

B. Click Continue. To model subtraction, drag three of the –1 chips into the Subtraction Bin to the right. (You can also remove the chips by clicking on them.) How many –1 chips remain in the modeling area?

-1

C. Click Continue and enter the answer. What is (–4) – (–3) equal to?

3. Click New. The problem should now be 6 – (–2). Model this difference using chips. no

A. You should have six 1 chips in the modeling area. Is it possible to remove two –1 chips from the modeling area right now?

no

B. Add two zero pairs to the modeling area. Does this change the total value of the chips in the modeling area? C. Is it possible to remove two –1 chips from the modeling area now?

yes

D. Remove the –1 chips and click Continue. What is 6 – (–2)?

8

E. How could you write 6 – (–2) as an addition problem? (Use “Keep Change Change”)

6+2

adding adding a positive or a negative?

F. In general, subtracting a negative is the same as...?

4. Practice 5 more subtraction problems using the Gizmo. Take a screenshot of each problem with its answer and paste it in the space below:

5. Use what you have learned to solve the problems below. You can check your answers to parts A and B with the Gizmo. (You will need to use the Explore mode of the Gizmo.) A. –3 – (–5)

2

B. 8 – (–3)

11

C. –22 – 1

-21...