 Download Download Presentation 1. Combine 2 red chips and 2 blue chips…what is their sum?

# 1. Combine 2 red chips and 2 blue chips…what is their sum?

Download Presentation ## 1. Combine 2 red chips and 2 blue chips…what is their sum?

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1. 1. Combine 2 red chips and 2 blue chips…what is their sum? 2. Make the above into an addition statement …use brackets. Add & Subtract Integers (Unit 9) Red Chips = +1 Blue Chips = -1

2. Are integers with the same numeral, but different signs (+ or -) …they are the same distance from zero, in opposite directions. Opposite Integers • For example: • (+1) and (-1) are opposite integers • (-3) and ( ) are opposite integers • (+14) and ( ) are opposite integers • (-659) and ( ) are opposite integers

3. Zero Pair: combining (+1) with (-1) (+1) + (-1) = 0 Zero Pairs • We can combine numerous zero pairs to solve problems: • For example: • (+1) + (-1) = • (-3) + (+3) = • (+11) + (-11) =

4. Grouping: combining “positives with positives” “positives with negatives” or “negatives with negatives” to allow us to solve Adding Integers Addition Statements: (+1) + (+2) = ______ (+5) + (- 4) = ______ • Your turn…apply “integer addition” • Draw the model for (-3) + (+ 4) • 2. Draw the model for (+11) + (-3)

5. Using Tiles to group + and – to find the answer….(great site!) http://nlvm.usu.edu/en/nav/frames_asid_161_g_2_t_1.html Using addition equations (small to large #’s) to find the answer. http://www.berghuis.co.nz/abiator/maths/sa/saintegeradd2.htmL VARIETY of GAMES: http://classroom.jc-schools.net/basic/math-integ.html Adding Integers GAMES

7. Model the scenario and create an addition statement to find your answer… FindThe Addition Statement Ray spent \$5 on bus fares to visit his Aunt. During the visit, her Aunt gave him \$12 for doing some yard work. How much money did Ray gain from the visit?

8. Page 313: # 5 abc, 8 ab, 9ac, 12 bc Page 314: # 14, 17 acef Extend Page 315: # 18, 19 Applying Integer Addition

9. Using aNumber Lineto Add Integers Start at zero and move the direction of the first number…then move the direction of the second number! Directions: Positive (+) andNegative (-) Move the DOT to it’s correct place using the addition statements below… 1. (+4) + (+3) 2. (-2) + (+5) 3. (+5) + (-11)

10. What is the “addition statement?” • The addition statement below is… • (+4) + (+3) • What do the colors of the arrows represent? • What do the length of the arrows represent?

11. What is the “addition statement?” • The addition statement below is… • (+4) + (+3) • What do the colors of the arrows represent? • What do the length of the arrows represent? • What is the total?

17. Finding Temperaturesusing a Number Line • Number lines can also be vertical (grids). • Top of the “y” axis is positive and bottom is negative. • Rightside of “x” axis is positive andleft side is negative. What are the 2 different addition statements?

19. ApplyInteger Addition The temperature in Yellowknife, Northwest Territories, on morning in October was – 4°C. The temperature increased by 9°C to reach the high temperature for that day. What was the high temperature? 5°C 0°C - 5°C

20. ApplyInteger Addition This morning it was ______°C and the temperature has gone up 12°C. What is the high temperature going to be today? 5°C 0°C - 5°C

21. Page 320: # 5ab, 6 bc, 7 ab, 10, 12 Page 321: # 14, 18, 20ab, 21 cd Extend Page 322: # 21ab, 22, 23 Applying Integer Addition

22. Subtract integers using integer chips… What is the subtraction expression for the model above? Take away 4 red chips from the original 6 red chips…what do you have left? Explore Integer Subtraction

23. Subtract integers using integer chips… What is the subtraction expression for the model above? Take away 3 blue chips from the original 7 blue chips…what do you have left? Explore Integer Subtraction

24. Model the equations below… (-5) – (-2) (+8) – (+3) Model it… Subtraction

25. Model the equations below… (-5) – (-2) (+8) – (+3) Model it… Subtraction What do you notice about each equation?

26. Model the equations below… (-5) – (+2) (+1) – (+4) CAN THESE BE SOLVED??? Model it… Subtraction

27. STRATEGY #1 “Move in – Move out” Model it… Subtraction

28. (+ 2) – (+5) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left

29. (-1) – (-6) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left

30. (-1) – (+4) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left

31. (-3) – (-7) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left

32. (+2) – (-6) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model the first integer • Move in enough to model the second integer • 3.Remove the chips asked in the subtraction statement • 4. What is left

33. STRATEGY #2 “Zero Pairs” Model it… Subtraction

34. (+ 2) – (- 4) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • Model what the question is asking • ZERO PAIRS: 2nd integer reversing the (+) or (-) of number… • 3.Remove the chips asked in the subtraction statement • 4. Then group the chips left over!

35. (- 2) – (- 3) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • 1. Model what the question is asking • ZERO PAIRS: 2nd integer reversing the (+) or (-) of number… • 3.Remove the chips asked in the subtraction statement • 4. Then group the chips left over!

36. (+5) – ( -3) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • 1. Model what the question is asking • ZERO PAIRS: 2nd integer reversing the (+) or (-) of number… • 3.Remove the chips asked in the subtraction statement • 4. Then group the chips left over!

37. (-4) – ( -8) What if the Integer #’s are different? Step 1 Step 2 Step 3 Step 4 • Steps to follow: • 1. Model what the question is asking • ZERO PAIRS: 2nd integer reversing the (+) or (-) of number… • 3.Remove the chips asked in the subtraction statement • 4. Then group the chips left over!

38. ( ) – ( ) Method #1: Finding the “Higher Minus Lower” • The morning temperature is - 5°C. This afternoon it will reach a • temperature of +6°C. How much higher is the afternoon • temperature than (difference) the morning temperature? • Model it… • Use the steps (Zero Pair, Remove, and then Group)

39. ( ) – ( ) Method #1: Finding the “Lower Minus Higher” • The morning temperature is - 5°C. This afternoon it will reach a • temperature of +6°C. How much lower is the morning • temperature than (difference) the afternoon temperature? • Model it… • Use the steps (Zero Pair, Remove, and then Group)

40. Page 328: # 7, 9ab, 10cd, 11ac Page 329: # 14, 16 Applying Integer Subtraction

41. STRATEGY #3 “Sub to Add” Model it… Subtraction

42. Use integer chips to find the answer to the subtraction statement below… (+4) – (+ 2) What happens when we change the subtraction statement to an addition statement? (+4) + (- 2) The answers are ____________________. Which of the two methods above are easier? Subtracting Integers

43. (- 5) – (- 3) (- 5) + (+ 3) The answers are ____________________. Which of the two methods above are easier? Do you see a pattern? Try it again!

44. (- 12) – (+ 5) (- 12) + (- 5) The answers are ____________________. Which of the two methods above are easier? Do you see a pattern? Try it again!

45. Use a number line to add & subtract. Subtract: (- 2) – (- 5) = ( ) + ( ) Solution…change the above statement into an addition statement. Then use the number line below to find your answer. Applying Integer Operations

46. Use a number line to add & subtract. Subtract: (+7) – (+3) = ( ) + ( ) Solution…change the above statement into an addition statement. Then use the number line below to find your answer. Applying Integer Operations

47. What do you notice about the signs (+ or -) when you change the subtracting statement to an adding statement? Changing subtraction to “addition”

48. Find the difference of the Caspian Sea (+ 217 m) elevation from the elevation of Lake Winnipeg (- 28 m)? Steps: Would you use chips or a number line? Change the subtraction statement to an addition statement. Model your answer. You may use a calculator to help find your answer. Changing subtraction to “addition” + 28 m + 245 m + 217 m 0 m

49. Page 333: # 5ab, 6bc, 7a, 8b, 9cd, 14 Page 334: # 19, 22 Changing subtraction to “addition”

50. Use the golf score chart below to find the addition or subtraction statements. Prize…what does the term “albatross” mean in a golf score? Applying Integer Operations • On hole #1 Rosa made an eagle and Samantha made a bogey. • How many more strokes did Samantha take than Rosa? • Would subtract or add? • Find the answer!