Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Glencoe Math AcceleratedChapter 2 Operations with Integers Use with Lesson 2 Preparation for 7.NS.1 1. Write an integer to represent an $8 withdrawal from an account. Then graph the integer on a number line. 2. Replace the in −9 −8 with >, <, or = to make the sentence true. 3. Evaluate −|17|. 4. Evaluate | −8| + |b| + a if a = 0 and b = TEST PRACTICE Five locations in California with elevations below sea level are shown in the table. What is the order of these elevations from least to greatest? A. −3, −5, −13, −43, −69 B. −3, −43, −69, −5, −3 C. −69, −13, −3, −5, −43 D. −69, −43, −13, −5, −3

Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Glencoe Math AcceleratedChapter 2 Operations with Integers ANSWERS 1. −8; 2. < 3. − D Use with Lesson 2 Preparation for 7.NS.1

What happens when you add, subtract, multiply, and divide integers? Rational Numbers and Exponents Lesson 2-2

How to add: integers with the same sign integers with different signs more than two integers Lesson 2-2 Rational Numbers and Exponents

7.NS.1 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. 7.NS.1a Describe situations in which opposite quantities combine to make 0. 7.NS.1b 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. Lesson 2-2 Rational Numbers and Exponents Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

7.NS.1d Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Lesson 2-2 Rational Numbers and Exponents Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Mathematical Practices 1Make sense of problems and persevere in solving them. 2Reason abstractly and quantitatively. 3Construct viable arguments and critique the reasoning of others. 4Model with mathematics. Lesson 2-2 Rational Numbers and Exponents Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

additive inverse Lesson 2-2 Rational Numbers and Exponents

Lesson 2-2 WordsTo add integers with the same sign, add their absolute values. The sum is: positive if both integers are positive. negative if both integers are negative. Examples–2 + (–4) = – = 9

Rational Numbers and Exponents Lesson 2-2 WordsTo add integers with different signs, subtract their absolute values. The sum is: positive if the positive integer’s absolute value is greater. negative if the negative integer’s absolute value is greater. Examples9 + (–4) = 5–9 + 4 = –5

Rational Numbers and Exponents Lesson 2-2 WordsThe sum of any number and its additive inverse is zero. Examples2 + (–2) = 0 Symbolsa + (–a) = 0

Lesson 2-2 Rational Numbers and Exponents What happens when you add, subtract, multiply, and divide integers? How did what you learned today help you answer the

Explain how to find the sum –3 + (–4) + 6. Lesson 2-2 Ratios and Proportional RelationshipsRational Numbers and Exponents