7.NS.1 Add and Subtract Strings of Negatives - Integers Rational Numbers

7.NS.1 Add and Subtract Strings of Negatives - Integers Rational Numbers
7.NS.1 Add and Subtract Strings of Negatives - Integers Rational Numbers
7.NS.1 Add and Subtract Strings of Negatives - Integers Rational Numbers
7.NS.1 Add and Subtract Strings of Negatives - Integers Rational Numbers
7.NS.1 Add and Subtract Strings of Negatives - Integers Rational Numbers
7.NS.1 Add and Subtract Strings of Negatives - Integers Rational Numbers
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(344 KB|8 pages)
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  1. Start students off confidently with the 3 Tiers original Stack, Add or Subtract, Leader of the pack adding model. Then work through subtraction, absolute value, multiplication, and division, engaging fractions decimals and word problems throughout. Includes bonus set of flashcard / notes hybrid th
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  • StandardsNEW

Students learn to add a strings of multiple integers by sorting sets of positives and negatives and identifying opposites that cancel to zero.

After a mental warm up, the lesson uses the context of a credit card bill to classify numbers as either positive or negative, and then layered with creating opposites to speed up the process.

Since the credit card example relies on an addition model, the concept is then applied to subtraction, employing the rewriting method where subtraction is written as the addition of the opposite. The concept is then practiced with by the substitution of variables, finding a missing number, and finally to temperature word problems.

About the 3 TIERS MATH model:


We have analyzed and targeted the known struggles for this topic by scaffolding the lesson in 3 differentiated versions: Independent, Hints, and Guided. Word banks, answer keys, sentence starters, templates, hints, problem chunking and other strategies are used to provide a means for less confident students access the same curriculum and rigor, allowing all students to engage in one common learning experience.

This lesson is designed for students to work through in pairs or groups to discover the big ideas through guided inquiry. While some direct instruction is required, the structure empower students to be independent learners, where your role transitions to more of a mentor than teacher. It is the fourth lesson in the Neutralizing Negatives Unit for a 7th grade Common Core math class. There is a different lesson that is geared toward a 7th grade Accelerated Math class (not included).

Log in to see state-specific standards (only available in the US).
Apply properties of operations as strategies to add and subtract rational numbers.
Understand subtraction of rational numbers as adding the additive inverse, 𝘱 – 𝘲 = 𝘱 + (β€“π˜²). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Understand 𝘱 + 𝘲 as the number located a distance |𝘲| from 𝘱, in the positive or negative direction depending on whether 𝘲 is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Total Pages
8 pages
Answer Key
Included
Teaching Duration
50 minutes
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