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Adding Integers
Review
Bell Ringer
• A positive + a positive is (always, sometimes, never)
a positive.
• A positive + a positive is (always, sometimes, never)
a negative.
• A negative + a negative is
(always, sometimes, never) negative.
• A positive + a negative is
(always, sometimes, never) a positive.
Bell Ringer
• A positive + a positive is (always, sometimes, never)
a positive.
o POSITIVE
• A positive + a positive is (always, sometimes, never)
a negative.
o NEVER
• A negative + a negative is (always, sometimes,
never) negative.
o ALWAYS
• A positive + a negative is (always, sometimes,
never) a positive.
o SOMETIMES
Where we were…
• Adding integers
o Same signs…
o Opposite signs…
• Subtracting Integers
o Additive inverse
• Absolute value
Where we are…
• Students will learn to…
o Review the rules for adding integers.
Homework
Unit Plan
• I can… represent addition and subtraction on a
horizontal number or vertical number line.
o Rate yourself and date
• I can… solve real-world and mathematical
problems involving the four operations with rational
numbers.
o Rate yourself and date
Where we are going…
• Quiz on Friday
o Adding integers
o Subtracting integers
Adding Integers
• Power Write #1
o Describe the rules for adding integers with the same signs…
• Power Write #2
o Describe the rules for adding integers with opposite signs…
Adding Integers
• Power Write #1
o Describe the rules for adding integers with the same signs…
• Add the numbers, keep the common sign
• Power Write #2
o Describe the rules for adding integers with opposite signs…
• Subtract the numbers, keep the sign of the number with the larges
absolute value.
-10 + (-20)
• How do you know?
-10 + (-20)
• How do you know?
• - 30; add and keep the common sign
-20 + (-10)
• What property allows you to switch the order of
addition?
-20 + (-10)
• What property allows you to switch the order of
addition?
• - 30; commutative property
- ½ + (- ½ )
- ½ + (- ½ )
• - 1
15 + (-9)
15 + (-9)
• 6
-13 + 20
-13 + 20
• 7
-7 + ___ = 0
• What is this called?
-7 + ___ = 0
• What is this called?
• 7; zero pairs, additive inverse, opposites
-9 + 9 + (-14)
-9 + 9 + (-14)
• -14
Algebra
• The sum of a number and -20 = 40. What is the
number?
Algebra
• The sum of a number and -20 = 40. What is the
number?
• 60 + (-20) = 40
x + y
When: x = 5, y = -1
x + y
When: x = 5, y = -1
5 + (-1) = 4
Word Problem
• A football team gained 7 yards on the first play, lost
9 yards on the second play and gained 6 yards on
the third play. To get a first down, they must gain 10
yards on 4 plays.
• Write an addition expression that shows this
scenario.
• How many yards will the team need to gain on it’s
fourth play to get a first down?
Word Problem
• A football team gained 7 yards on the first play, lost
9 yards on the second play and gained 6 yards on
the third play. To get a first down, they must gain 10
yards on 4 plays.
• Write an addition expression that shows this
scenario.
o 7 + (-9) + 6
• How many yards will the team need to gain on it’s
fourth play to get a first down?
o They have gained 4 yards, so they need 6 more yards for a first down.
Homework
• Adding integers review worksheet
• Due tomorrow.

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Adding integers review web

  • 2. Bell Ringer • A positive + a positive is (always, sometimes, never) a positive. • A positive + a positive is (always, sometimes, never) a negative. • A negative + a negative is (always, sometimes, never) negative. • A positive + a negative is (always, sometimes, never) a positive.
  • 3. Bell Ringer • A positive + a positive is (always, sometimes, never) a positive. o POSITIVE • A positive + a positive is (always, sometimes, never) a negative. o NEVER • A negative + a negative is (always, sometimes, never) negative. o ALWAYS • A positive + a negative is (always, sometimes, never) a positive. o SOMETIMES
  • 4. Where we were… • Adding integers o Same signs… o Opposite signs… • Subtracting Integers o Additive inverse • Absolute value
  • 5. Where we are… • Students will learn to… o Review the rules for adding integers.
  • 7. Unit Plan • I can… represent addition and subtraction on a horizontal number or vertical number line. o Rate yourself and date • I can… solve real-world and mathematical problems involving the four operations with rational numbers. o Rate yourself and date
  • 8. Where we are going… • Quiz on Friday o Adding integers o Subtracting integers
  • 9. Adding Integers • Power Write #1 o Describe the rules for adding integers with the same signs… • Power Write #2 o Describe the rules for adding integers with opposite signs…
  • 10. Adding Integers • Power Write #1 o Describe the rules for adding integers with the same signs… • Add the numbers, keep the common sign • Power Write #2 o Describe the rules for adding integers with opposite signs… • Subtract the numbers, keep the sign of the number with the larges absolute value.
  • 11. -10 + (-20) • How do you know?
  • 12. -10 + (-20) • How do you know? • - 30; add and keep the common sign
  • 13. -20 + (-10) • What property allows you to switch the order of addition?
  • 14. -20 + (-10) • What property allows you to switch the order of addition? • - 30; commutative property
  • 15. - ½ + (- ½ )
  • 16. - ½ + (- ½ ) • - 1
  • 21. -7 + ___ = 0 • What is this called?
  • 22. -7 + ___ = 0 • What is this called? • 7; zero pairs, additive inverse, opposites
  • 23. -9 + 9 + (-14)
  • 24. -9 + 9 + (-14) • -14
  • 25. Algebra • The sum of a number and -20 = 40. What is the number?
  • 26. Algebra • The sum of a number and -20 = 40. What is the number? • 60 + (-20) = 40
  • 27. x + y When: x = 5, y = -1
  • 28. x + y When: x = 5, y = -1 5 + (-1) = 4
  • 29. Word Problem • A football team gained 7 yards on the first play, lost 9 yards on the second play and gained 6 yards on the third play. To get a first down, they must gain 10 yards on 4 plays. • Write an addition expression that shows this scenario. • How many yards will the team need to gain on it’s fourth play to get a first down?
  • 30. Word Problem • A football team gained 7 yards on the first play, lost 9 yards on the second play and gained 6 yards on the third play. To get a first down, they must gain 10 yards on 4 plays. • Write an addition expression that shows this scenario. o 7 + (-9) + 6 • How many yards will the team need to gain on it’s fourth play to get a first down? o They have gained 4 yards, so they need 6 more yards for a first down.
  • 31. Homework • Adding integers review worksheet • Due tomorrow.