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Negatives Review. Today’s Standard. NS 2.3 Solve addition, subtraction, multiplication, and division problems , including those arising in concrete situations that use positive and negative integers Objective: Correctly add, subtract, multiply, and divide positive and negative integers.
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Today’s Standard • NS 2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations that use positive and negative integers • Objective: Correctly add, subtract, multiply, and divide positive and negative integers. • How to show you have mastered this topic: • Correctly answer at least 3 out of 4 questions on the exit ticket.
We are going to fill out a graphic organizer to help remember the various rules for operations with negatives. • Start at the top and follow the correct answer to each box’s question to get to the problem-solving strategy.
Turn the subtraction sign into addition by adding the opposite of the second number. • What if the problem says to subtract?
This means the two numbers are combining. Add the numbers and keep the sign. • Examples:3 + 5 = • -7 + -4 = • Adding: Do the two numbers have the same sign?Yes 8 -11
This means the two numbers are canceling out. Subtract the numbers and keep the sign of the number farther from 0. • Examples:-7 + 1 = • 5 + -2 = • Adding: Do the two numbers have the same sign?No -6 3
The answer will be positive. • Examples:-9 × -2 = • 4× 3 = • Multiplying/Dividing: Do the two numbers have the same sign?Yes 18 12
The answer will benegative. • Examples:-5 × 4 = • 8 × -3 = • Multiplying/Dividing: Do the two numbers have the same sign?No -20 -24
-15 • -5 • 6 • -5 + -8 • -13 • 5 × -3 • 4 + -9 • -18 ÷ -3 • -5 - 8
Direct Station • We will get more practice with negatives, including word problems.
Collaborative Station: Card Game • There will be a deck of cards with various operations on it: add 4, multiply by -2, subtract 7, and so on. • The score starts at 1. • Each turn, a player plays one operation card, which changes the score. For example, if on the first turn a player puts down an “add 4” card, the new score would be 1 + 4 = 5. Then the next player plays a card. • Player A’s goal is to make the score equal 12. Player B’s goal is to make the score equal -12. If there is a Player C, his goal is to make the score 0. • Each player can only have 3 cards in their hand at a time. After they play one, they draw another from the deck.
Collaborative Station Example Player A plays an “Add 4” card. This means you add 4 to the current score, which in this case is 1. 1 + 4 = 5, so the new current score is 5.
Collaborative Station Example Now it is Player B’s turn. He plays a “Subtract 6” card. This mean to subtract 6 from the current score, which was 5. 5 – 6 = -1, the new current score.
Collaborative Station Example It is Player A’s turn again. He plays a “Multiply by -2” card. Multiply the current score, -1, by -2. -1 × -2 = 2, so 2 is the new current score.
Independent Station: ST Math • We are continuing our work on fractions and decimals.