Kansas Academic Standards
KS.7.NS. The Number System
Apply and extend previous understandings of operations with positive rational numbers to add, subtract, multiply, and divide all rational numbers.
7.NS.1. Represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.1e. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2. Apply and extend previous understandings of multiplication and division of positive rational numbers to multiply and divide all rational numbers.
7.NS.2a. Describe how multiplication is extended from positive rational numbers to all 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.
7.NS.2b. Explain 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. Leading to situations such that if p and q are integers, then –(p/q) = -p/q = p/-q.
7.NS.2c. Apply properties of operations as strategies to multiply and divide rational numbers.
KS.7.EE. Expressions and Equations
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.4. Use variables to represent quantities in a real-world or mathematical problem, and construct two-step equations and inequalities to solve problems by reasoning about the quantities.
7.EE.4a. Solve word problems leading to equations of the form pݑ+Űݑ =r, and p(ްݑ +Űݑ)=r where p, q, and r are specific rational numbers. Solve equations of these forms fluently (efficiently, accurately, and flexibly). Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?