Maryland College and Career-Ready Standards
MD.MA.7.NS. The Number System (NS)
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, and represent addition and subtraction on a horizontal or vertical number line diagram.
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.
7.NS.1b.1. Ability to build on prior experience with absolute value (see 6.NS.7).
7.NS.1b.2. Knowledge of absolute value to add and subtract rational numbers using a horizontal or a vertical number line.
7.NS.1c. Understand subtraction of rational numbers as adding the additive inverse, p–q = p+(–q). 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.
7.NS.1c.1. See the skills and knowledge that are stated in the Standard.
MD.MA.7.EE. Expressions and Equations (EE)
Solve real-life mathematical problems using numerical and algebraic expressions and equations.
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. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
7.EE.3.1. See the skills and knowledge that are stated in the Standard.