Solving Integer Equations with Number Line
(+3) + (+6)=
Use a number line to solve.
(+3) + (+6) = +9
One of the coldest places on Earth is Antartica, with an average annual temperature of about -58°C. This would be a ____________ integer.
Negative Integer
What sum does this set of tiles model?
3 yellow tiles and 4 red tiles
Equation: (+3) + (−4) = −1
Step 1: Represent the tiles.
🟨 🟨 🟨 (3 positive tiles)
🟥 🟥 🟥 🟥 (4 negative tiles)
Step 2: Combine the tiles and make zero pairs.
🟨 🟥 🟨 🟥 🟨 🟥 🟥
Step 3: Cancel out the 3 zero pairs.
Step 4: Count the remaining tiles.
🟥 (1 negative tile)
Answer: −1
Raelle bought a giant pumpkin for 30$ and sold it to Dongyeon for 15$. How much money did Raelle lose?
Raelle lost $15.
Integer equation: (−30) + (+15) = −15
What is Miss Lafontaine's favourite colour?
Pink
(-3) + (-7) =
Use a number line to solve.
(−3) + (−7) = −10
One of the hottest places of Earth is Ethiopia, with an avergae annual temperature of about +34°C. This would be a __________ integer.
Positive Integer
(-10) + (+10) =
use tiles to solve.
Step 1: Represent each integer using tiles.
🟥 🟥 🟥 🟥 🟥 🟥 🟥 🟥 🟥 🟥 (10 negative tiles)
🟨 🟨 🟨 🟨 🟨 🟨 🟨 🟨 🟨 🟨 (10 positive tiles)
Step 2: Combine all the tiles.
Step 3: Cancel out 10 zero pairs (🟥 🟨).
Step 4: Count the remaining tiles.
No tiles remain!
Answer: 0
Simpa mined 12 diamonds in Minecraft but lost 10 diamonds when he came face to face with a skeleton. What was his overall gain or loss of diamonds?
(+12) + (−10) = +2
Simpa gained 2 diamonds overall.
What is the Michif word for rain?
kimoowun
Zina deposits $15 then withdraws $3. Represent with an equation and find the sum. How much money does Zina have left in this scenario.
Use a number line to solve.
(+15) + (−3) = +12
Zina has $12.
If you saw these numbers without being in the form of an equation, for example -6 and +6, or -7 and +7. What about you call this?
Opposite Integers
Mariella earned $5 and spent $3. How much money does she have left from her earnings?
Write an equation and use tiles to solve.
Equation: (+5) + (−3) = +2
Using Tiles:
🟨 🟨 🟨 🟨 🟨 (5 positive tiles)
🟥 🟥 🟥 (3 negative tiles)
Cancel out 3 zero pairs (one yellow + one red).
Remaining: 🟨 🟨
Mariella has $2 left from her earnings.
Bradley collected 25 pieces of Halloween candy but ate 13. What was the overall change in Bradley's candy?
(+25) + (−13) = +12
The value of Wynnlee's super rare Needoh went up $10, then down $5. What was the final change in the value of the Wynnlee's super rare Needoh?
(+10) + (−5) = +5
(-8) - (+6) =
Use a number line to solve.
(−8) − (+6) = −14
One yellow tile can represent +1. One red tile can represent -1. Now what is we one red tile and one yellow tile which would equal 0. We can call this a .....
Zero Pair
(+3) - (-7) =
Solve using tiles.
(+3) − (−7) = +10
What are the steps?
(+4) + (−3) + (+1) =
(+4) + (−3) + (+1) = +2
How many cats does Miss Lafontaine have?
Two
(+4) - (-2) =
(+4) − (−2) = +6
What is the golden rule when subtracting integers?
Keep Change Change (Solve)
(+4) - (+5) =
Solve using tiles.
(+4) − (+5) = −1
What are the steps?
(-3) - (+1) + (+4) =
(−3) − (+1) + (+4) = 0
What are the FIVE rules of our classroom?
Be kind, own your choices, be respectful, have fun, and make it nice or make it twice.