Sign Strategists Slides Sign Strategists
Mastering the Rules of Integers
Positive
Negative
The Integer Lineup
-5
-4
-3
-2
-1
0
1
2
3
4
5
Positive Numbers
Go to the RIGHT on the number line.
Negative Numbers
Go to the LEFT on the number line.
Rule 1: Same Team Addition
Neg + Neg
-3 + (-2) = -5
-
-
-
-
-
Add the numbers, keep the sign!
"Join the Team!"
Rule 1: Guided Practice
-7 + (-4) =
-12 + (-8) =
Rule 2: Sign Battle
Pos + Neg
5 + (-3) = 2
Signs are DIFFERENT:
1. SUBTRACT .
2. KEEP the stronger sign.
Pairs cancel out!
Rule 2: Guided Practice
10 + (-6) =
-15 + 20 =
Rule 3: Double Negative Flip
Minus a Negative
5 - (-2)
5 + 2 = 7
Keep - Change - Change
Rule 3: Guided Practice
8 - (-3)
8 + 3 = ___
-4 - (-6)
-4 + 6 = ___
Rule 4: Taking Away Cold
Positive - Negative
2 - (-4) = 6
Higher & Warmer
Rule 4: Guided Practice
1 - (-10) =
15 - (-5) =
Watch Out! Mission Hazards
Wrong Idea
Thinking a minus sign ALWAYS means the answer is negative.
Right Strategy
Check the strengths! Sometimes subtracting a negative gives a positive.
Mission: Sign Battle
1
Form Squads
Work in pairs or groups of three.
2
Roll & Draw
Draw a challenge card.
3
Claim Victory
Explain your rule!
START BATTLE!
Sign Battle Cards Sign Battle Cards
Cut these cards out for the collaborative review activity. (Expanded Deck)
Same Team
-4 + (-7) = ___
Add the numbers, keep the sign!
Same Team
-12 + (-5) = ___
Negative + Negative = Bigger Negative
Same Team
-20 + (-30) = ___
Joining the negative team!
Same Team
-1 + (-15) = ___
Don't lose that minus sign!
Sign Battle
9 + (-4) = ___
Subtract and keep the stronger sign.
Sign Battle
-10 + 3 = ___
Who has more power? Pos or Neg?
Sign Battle
15 + (-20) = ___
Subtract: 20 - 15. Sign: Negative!
Sign Battle
-2 + 8 = ___
8 is stronger than 2!
Flip It
6 - (-3) = ___
Keep-Change-Change!
Flip It
-2 - (-8) = ___
Turn that sub into addition!
Flip It
0 - (-12) = ___
Subtracting a negative = adding!
Flip It
15 - (-5) = ___
Make it 15 + 5!
Ultimate
-15 - 5 = ___
Starting at -15, going back 5 more.
Ultimate
-1 + (-1) = ___
Same team double trouble!
Ultimate
20 + (-30) = ___
Negative team has more members.
Ultimate
-5 - (-5) = ___
Think! -5 + 5 = ?
Integer Mastery Worksheet Integer Independence
Name: ___________________________ Date: _________
Goal
Sign Master
Same Signs
Add the numbers, KEEP the sign.
Different Signs
Subtract, KEEP the stronger sign.
-5
-4
-3
-2
-1
0
1
2
3
4
5
1 Same Team Addition (Neg + Neg)
-3 + (-6) =
-12 + (-4) =
-1 + (-20) =
-8 + (-8) =
2 Sign Battles (Different Signs)
8 + (-5) =
-10 + 4 =
15 + (-20) =
-2 + 10 =
3 Double Negative Flip (Keep-Change-Change)
Flip the sign and the next number's sign!
7 - (-2)
7 + ____ = ____
-4 - (-6)
-4 + ____ = ____
10 - (-5)
10 + ____ = ____
-15 - (-5)
-15 + ____ = ____
0 - (-8)
0 + ____ = ____
-1 - (-1)
-1 + ____ = ____
Master Challenge
Mixed 1:
-15 + 10 = ____
Mixed 2:
-3 - (-3) = ____
Mixed 3:
0 - 7 = ____
Mixed 4:
-1 - (-5) = ____
Sign Mission Homework Sign Mission
Homework Lab
Name: _______________________
Date: ________________________
-10
-5
0
5
10
Team Work (Neg + Neg)
-6 + (-3) =
-1 + (-9) =
-15 + (-5) =
-2 + (-2) =
Sign Battle (Pos + Neg)
12 + (-4) =
-10 + 2 =
20 + (-30) =
-5 + 15 =
Flip Master (KCC)
5 - (-4) =
-2 - (-7) =
10 - (-10) =
-1 - (-1) =
Final Challenge
-8 - 2 =
0 - (-5) =
15 + (-25) =
-3 + (-3) =
Strategy Check:
Which rule was the easiest for you today? Why?
Integer Investigators Quiz Sign Master Quiz
Name: ___________________________ Date: _________
Score
/ 15
Strategy Tool: Number Line
-10
-5
0
5
10
Part 1: Signs in Battle
1. -5 + (-3) =
Answer:
2. 8 + (-2) =
Answer:
3. -10 + 4 =
Answer:
4. 7 - (-3) =
Answer:
5. -2 - (-8) =
Answer:
6. 12 - (-5) =
Answer:
7. -15 - 5 =
Answer:
8. 0 - (-10) =
Answer:
9. -4 + (-4) =
Answer:
10. 20 + (-30) =
Answer:
Part 2: Finding the Mean
The Rule:
1. ADD all numbers together.
2. DIVIDE by the count.
11. Find the mean: 4, 8, 0
Final Answer: ________________
12. Find the mean: 10, 20, 30, 40
Final Answer: ________________
13. Temperatures: 70°F, 72°F, and 74°F. Find the mean temperature.
Final Answer: ________________
14. Altitude readings: 100 ft, 200 ft, 300 ft, 400 ft. Find the mean altitude.
Final Answer: ________________
15. A bank account had four deposits: $20, $40, $30, $50. What was the mean deposit amount?
Show your complete work here (Addition and Division):
Final Mission Answer
________________