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  1. Bellwork Copy and Answer • 5 – 7 • 6 + -15 • -14 - -10 • 6 x -7 • -5 ÷ -5 • -10 x -10

  2. Tuesday 10/18

  3. 2-5 • Solving Equations Containing Integers • pg. 100

  4. Essential Question • How can you solve equations that contain integers?

  5. Who REMEMBERS? • Monday we talked about 3 steps to solve an equation. • What are the 3 steps? • I___________ • S___________ • C___________ 5

  6. Steps to Solving Equations: • Use the opposite operation to ISOLATE the variable to one side of the equation • SOLVE for the Variable • CHECK the answer to the equation by substituting the number in for the variable

  7. Equation Mat • Today we will use an Equation Mat and Integer Chips to model solving an equation. • LAB 7

  8. Equation Mat Directions… • Yellow=positive 1 • Red= negative 1 • Use the chips for our numbers. • If the equation is x+3=5…on your mat you should have • x + = • Then, use your red chips to solve the equation. • The red and yellow chips cancel out. • We are left with 2 yellow chips, so x=2.

  9. Equation Mat Equations  • x + 3=5 • x + 4=9 • x + 5=8 • x + 6=6 • x - 4=3 • x - 2=8 • x - 5=-5 • x - 7=0 X=2 X=5 X=3 X=0 X=7 X=10 X=0 X=7

  10. Wednesday 10/19

  11. 2-5 • Solving Equations Containing Integers • pg. 100

  12. Essential Question • How can you solve equations that contain integers?

  13. Algebra Geek Patrol The Pocket Protectors of Algebra

  14. My name is Buck Einstein, but you can call me Buck. Hello! Pick my nose to continue

  15. It’s that we on the Algebra Geek Patrol are… well…different. I have a secret to tell you. What is it? You might even say that we are the opposite of everyone else. Pick my nose to continue

  16. When you worry about what you wear, We worry about having our Pocket Protectors. Pick my nose to continue

  17. When you worry that you won’t meet your friends, We worry that we won’t have our calculators. Pick my nose to continue

  18. We are just a little bit opposite. That may be why we are so good at Algebra, because that is all Algebra is… …doing the opposite. Pick my nose to continue

  19. Think of some words that are opposites. For example, what do you think of as the opposite of word below. Old = ______ New Pick my nose to continue

  20. Now try some other ones. Make sure to write your answers on your paper, and when you are finished click on me. Up = __________ Out = __________ Small = __________ Stinky = __________ Pick my nose to continue

  21. Some possible answers are… Down Up = __________ In Out = __________ Big Small = __________ Fragrant Stinky = __________ (or non-stinky) Pick my nose to continue

  22. Now another set. Make sure to write your answers on your paper, and when you are finished click on me. Add = __________ Subtract = __________ Multiply = __________ Divide = __________ Pick my nose to continue

  23. Your answers should have been… Subtract Add = __________ Add Subtract = __________ Divide Multiply = __________ Multiply Divide = __________ Pick my nose to continue

  24. One last set. Make sure to write your answers on your paper, and when you are finished click on me. + = __________ - = __________ x = __________ ÷ = __________ Pick my nose to continue

  25. Your answers should have been… - + = __________ + - = __________ ÷ x = __________ x ÷ = __________ Pick my nose to continue

  26. Congratulations! You just did some ALGEBRA Scary, isn’t it! Pick my nose to continue

  27. One Step Equations Algebra Geek Patrol Now you are going to work on solving some Algebra problems. Don’t be afraid of the A-word (Algebra). Remember, it is all about being opposite. Pick my nose to continue

  28. One Step Equations Algebra Geek Patrol You will complete 5 sections. After each section you will be awarded a Geek Pen to put in your official AGP Pocket Protector. Geek Luck! Pick my nose to continue

  29. One Step Equations Algebra Geek Patrol X + 3 = 17 Click on the answer below that is the opposite of add 3. Add 3 Subtract 3 Multiply 3 Algebra Geek Patrol Divide 3

  30. One Step Equations Algebra Geek Patrol Close, but that’s not quite it. Remember, we are looking for the opposite of add 3. Click on Buck and give it another try. Algebra Geek Patrol

  31. One Step Equations Algebra Geek Patrol Good Job! The correct answer is subtract 3. Write the answer on your paper, next to the original problem, and then click on Buck. Algebra Geek Patrol

  32. One Step Equations Algebra Geek Patrol 4x = 20 Click on the answer below that is the opposite of multiply by 4. Add 4 Subtract 4 Multiply by 4 Algebra Geek Patrol Divide by 4

  33. One Step Equations Algebra Geek Patrol No, not really. Remember, we are looking for the opposite of multiply by 4. Click on Buck and give it another try. Algebra Geek Patrol

  34. One Step Equations Algebra Geek Patrol Nice! You’re halfway to your first Geek Pen. The correct answer is divide by 4. Write the answer on your paper next to the original problem, and then click on Buck. Algebra Geek Patrol

  35. One Step Equations Algebra Geek Patrol x 5 = 10 Click on the answer below that is the opposite of divide by 5. Add 5 Subtract 5 Multiply by 5 Algebra Geek Patrol Divide by 5

  36. One Step Equations Algebra Geek Patrol Uhh, in a word, no. Remember, we are looking for the opposite of divide by 5. Click on Buck and give it another try. Algebra Geek Patrol

  37. One Step Equations Algebra Geek Patrol Good!Are you sure you’re not a Geek? The correct answer is multiply by 5. Write the answer on your paper next to the original problem, and then click on Buck. Algebra Geek Patrol

  38. One Step Equations Algebra Geek Patrol X – 7 = 8 Click on the answer below that is the opposite of - 7. + 7 - 7 x 7 Algebra Geek Patrol ÷ 7

  39. One Step Equations Algebra Geek Patrol Almost Remember, we are looking for the opposite of - 7. Click on Buck and give it another try. Algebra Geek Patrol

  40. One Step Equations Algebra Geek Patrol Congratulations! And here is your first Geek Pen The correct answer is + 7. Write the answer on your paper next to the original problem, and then click on Buck. Algebra Geek Patrol

  41. One Step Equations Algebra Geek Patrol Alright, now you are going to actually solve some problems. This is nothing to be worried about, just remember one word… Opposite! Geek Luck! Pick my nose to continue

  42. One Step Equations X + 5 = 13 1 Click on the answer below that is the opposite of + 5. + 5 - 5 x 5 Algebra Geek Patrol ÷ 5

  43. One Step Equations C’mon, You know this. 1 Remember, we are looking for the opposite of + 5. Click on Buck and give it another try. Algebra Geek Patrol

  44. One Step Equations Click on +5 or -5 to cancel them. Good! X + 5 = 13 1 - 5 - 5 _________ X = 8 That’s right! Look at the right side. All we have left is 13 and – 5. So,what is 13 – 5? Now to the hard part. That’s right, zero. And zero is nothing, so let’s cancelout + 5 and -5. That just leaves X on the left side. So, let’s put – 5 on each side of the equation. Let’s look at the left side. What will you get when you combine + 5 and -5 ? Copy the entire problem and all the steps on your paper, then click on Buck. Just teasing! Click on the pen when you are ready. Algebra Geek Patrol

  45. One Step Equations Algebra Geek Patrol Congratulations,You just completed your first Algebra problem. See it wasn’t that bad. Now let’s try another. Pick my nose to continue

  46. Who REMEMBERS? • What are the 3 steps to solve a one step equation? • I___________ • S___________ • C___________ 46

  47. Steps to Solving Equations: • ISOLATE the variable by doing the opposite, Inverse, Operation. • SOLVE the equation. • CHECK your solution.

  48. One Step Equations X + 9 = 15 2 Click on the answer below that is the opposite of + 9. + 9 - 9 x 9 Algebra Geek Patrol ÷ 9

  49. One Step Equations Umm, I don’t think so. 2 Remember, we are looking for the opposite of + 9. Click on Buck and give it another try. Algebra Geek Patrol

  50. One Step Equations Nice Job! X + 9 = 15 2 _________ - 9 - 9 This time I am going to give you the steps, which you will need to write down, and then you will work the problem on your paper. X = 6 Second, cancel out one side. Third, combine the other side. Make sure you have copied all the steps on your paper and then click on Buck. First, put the opposite (- 9) on both sides. Write this on your paper, and work this part of the problem. Algebra Geek Patrol Click the pen to continue Pick my nose to continue