Additive inverse zero pairs absolute value
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The document discusses combining opposites in mathematics. It defines opposites as two numbers that are the same distance from 0 on a number line but in opposite directions. The document states that Bryan is correct that combining opposites gives you 0, as opposites are also called zero pairs because they cancel each other out when added together. It provides examples of opposites/zero pairs such as 1 and -1, 10 and -10, 1000 and -1000.
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Additive inverse zero pairs absolute value
This document provides instruction on teaching students about combining opposites. It includes definitions of key terms like opposite, zero pairs, and additive inverse. The document outlines learning targets for students to describe situations where opposites combine to make 0, define absolute value, and explain the connection between opposites and zero pairs. Sample problems are provided like 5 + -5 = 0 to demonstrate that combining opposites always equals zero.
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Additive inverse zero pairs absolute value
- 2. Read each statement about the topic “Combining Opposites.” Write down who you agree with and why. Alex – “Combining opposites is just doubling the number.” Bryan – “Combining opposites would give you 0.” Carrie – “I don’t know how to combine opposites.” You should start your sentence like this… I agree with Alex/Bryan/Carrie because…
- 3. Equations and Expressions Variables Equality and the equal sign Balance
- 4. Unit Plan Look at the first Learning Target Rank yourself – put a mark and the date underneath Students will learn to… Describe situations in which opposite quantities combine to make 0. Describe the connection between opposites, zero pairs and additive inverse. Define absolute value.
- 5. What do you know about a number line? 1 volunteer to write on the board Use the number line above to define the word opposite. Opposite numbers are… Share your definition with the group behind you. Class definition?
- 6. Two numbers that are the same distance from 0 on a number line, but in opposite directions, are opposites. Practice… Find the opposite of each number a. -8 b. 13 c. -22 a. 8 b. -13 c. 22
- 7. This is a definition from Learnzillion.com. What is absolute value? Create a human number line. Absolute Value is the distance from 0. Can’t be negative. ( How many hops to get to 0?)
- 8. What is their score? How can you represent this on a number line? How can you represent this mathematically?
- 9. What is the expression (math sentence) to solve this problems? 5 + -5 or -5 + 5 In either case, the answer is 0. When you combine opposites, is it always equal to zero? (think about the scale, does it balance??
- 10. You have discovered Additive Inverse The sum of a number and its additive inverse is 0. In other words, when you add a number and it’s opposite, you get 0. (Remember the Balance?) Sort of like canceling each other out.
- 11. These are also called Zero Pairs, because they combine to equal 0. 1 and -1 -10 and 10 -1000 and 1000
- 12. Opposites – Zero pairs – Additive Inverse -
- 13. If you agree with someone new, write your reasoning in your notebook.
- 15. Can you… Describe situations in which opposite quantities combine to make 0? Can you… Define opposites, zero pairs, and additive inverse and give examples of each?
Editor's Notes
- Key points: positive/negative, positive to right – negative to left, numbers get bigger to the right, smaller to the left, can be vertical or horizontal, part of a coordinate plane,
- Football… gained 3 yards, then lost 3 yards.Money – earned $10, bought something for $10.Verticals – 32 inch vertical, then comes down 32 inches