1. Reason abstractly and quantitatively. 2. Construct viable arguments and critique the reasoning of others. 3. Attend to precision. 4.
Look for and express regularity in repeated reasoning. 5. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero 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. 6. Solve real-world and mathematical problems involving the four operations with rational numbers. 7. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.