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# Oct 22 Integers

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### Oct 22 Integers

1. 1. October 22, 2008 Teacher Notes Subject: Maths Topic: Number operations Title: Addition of Integers Year Group(s): 7, 8 and 9 Curriculum-related themes: Non-specific Intended learning outcome(s) · Learn the rules for adding integers · Gain practice adding integers Recommended usage: Introduction / main activity How to use Notebook(TM) software Learn helpful tips and tricks for developing and presenting lesson activities. © 2004 SMART Technologies Inc. All rights reserved. For further information, please seecopyright notice.
2. 2. October 22, 2008 Addition of Integers Windows(R) operating system and Mac OS X operating system software Submitted by: Gerry-Lynn Borys Red Deer Catholic Regional Division: St.Patrick's Community School -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
3. 3. October 22, 2008 You can use algebra tiles to add integers. means + 1 means -1
4. 4. October 22, 2008 Example =+1 = -2 This is the same as This is the same as saying saying (+3) + (-2) = +1 (+2) + (-4) = -2
5. 5. October 22, 2008 Zero principle The zero principle states that when you add two opposites, their sum is equal to zero. (+1) + (-1) = 0
6. 6. October 22, 2008 So, in our two examples left with left with -2 +1 =0 =0 =0 =0
7. 7. October 22, 2008 Use the yellow (positive) tiles and red (negative)tiles to add each pair of integers, then write the addition sentence for each. (+5) + (-4) (+3) + (-7) (-4) + (-3)
8. 8. October 22, 2008 Answers (+5) + (-4) (+3) + (-7) (-4) + (-3)
9. 9. October 22, 2008 You can also use a number line to add integers. + sign means move forward or to the right of zero - sign means move back or to the left of zero (+3) + (-2) Start at +3 and move back 2 spaces -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
10. 10. October 22, 2008 Solve the following questions using the number line. (-3) + (-2) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 (+5 ) + (-6) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 (-7) + (+4) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
11. 11. October 22, 2008 Answers (-3) + (-2) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 (+5 ) + (-6) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 (-7) + (+4) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
12. 12. October 22, 2008 You can also add integers algebraically. Simply ignore the addition sign and do what the sign on the second integer tells you to do. Example (+4) + (-5) Ignore the addition sign and this question becomes 4 - 5 = -1
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16. 16. October 22, 2008 (+4) + (-3)= _____ +1 (-3) + (+6)= _____ +3 (+5) + (+2)= _____ +7 (-2) + (-5) = _____ -7 (-4) + (+2)= _____ -2