7th Grade, CC2, Unit 2
Fraction and Integer Addition
Section 2.1 In this section, you will look at numbers represented as fractions and decimals. You will investigate the question, "What makes some decimals repeat?:
Section 2.2 In this section, you will extend your understanding of length to help you add and multiply positive and negative integers and rational numbers.
Section 2.3 This section reviews your work with coordinate graphs from previous courses. You will plot and read points on graphs and learn how to scale them so that they are useful for showing the relationship that they represent.
fraction greater than one
- 7.NS.1a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
- 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.1d. Apply properties of operations as strategies to add and subtract rational numbers.
- 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 real-world contexts.
- 7.NS.2d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
- 7.RP.2a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
- 7.RP.2b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.