Oct 22 Integers

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October 22, 2008 © 2004 SMART Technologies Inc. All rights reserved. For further information, please seecopyright notice . How to use Notebook(TM) software Learn helpful tips and tricks for developing and presenting lesson activities. 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

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Transcript of Oct 22 Integers

Page 1: Oct 22 Integers

October 22, 2008

© 2004 SMART Technologies Inc. All rights reserved. For further information, please see copyright notice.

How to use Notebook(TM) softwareLearn helpful tips and tricks for developing and presenting lesson activities.

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

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October 22, 2008

Addition of Integers

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

Submitted by: Gerry-Lynn BorysRed Deer Catholic Regional Division: St.Patrick's Community School

Windows(R) operating system and Mac OS X operating system software

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means + 1

means -1

You can use algebra tiles to add integers.

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This is the same as saying (+3) + (-2) = +1

This is the same as saying(+2) + (-4) = -2

Example

=+1 = -2

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The zero principle states that when you add two opposites, their sum is equal to zero.

Zero principle

(+1) + (-1) = 0

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left with +1

left with -2

So, in our two examples

=0 =0 =0 =0

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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)

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Answers

(+5) + (-4)

(+3) + (-7)

(-4) + (-3)

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You can also use a number line to add integers.

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

(+3) + (-2) Start at +3 and move back 2 spaces

+ sign means move forward or to the right of zero - sign means move back or to the left of zero

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Solve the following questions using the number line.

(-3) + (-2)

(+5 ) + (-6)

(-7) + (+4)

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

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October 22, 2008

Answers

(-3) + (-2)

(+5 ) + (-6)

(-7) + (+4)

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

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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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(+4) + (-3)= _____

(-3) + (+6)= _____

(+5) + (+2)= _____

(-2) + (-5) = _____

(-4) + (+2)= _____

+1

+3

+7

-7

-2