7th Grade, CC2, Unit 3
arithmetic properties
Chapter Outline
Section 3.1: In this section, you will find strategies for grouping operations within number expressions so you can simplify them accurately. Section 3.2: This sections connects subtraction of integers to your earlier work with adding and multiplying integers. You will expand your knowledge of how to find differences and products. Section 3.3: In this section, you will extend your understanding of operations with fractions and decimals to include division. Vocabulary
additive inverse algebraic expression Associative Property Commutative Property evaluate integers multiplicative inverse numerical term Order of Operations quotient rational numbers reciprocals simplify substitution terms 
Guiding Questions
1. What strategy can I use? 2. How can I calculate it? 3. Is there another way to show it? Big Ideas

Standards
 7.NS.1d. Apply properties of operations as strategies to add and subtract rational numbers.
 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 realworld contexts.
 7.NS.2a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing realworld contexts.
 7.NS.2b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real world contexts.
 7.NS.2c. Apply properties of operations as strategies to multiply and divide rational numbers.
 7.NS.3. Solve realworld and mathematical problems involving the four operations with rational numbers. (complex fractions included)