• Unit 1: Making Relevant Connections with the Number System

     

     

    7.NR.1.1 Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0.

     

    7.NR.1.2 Show and explain 饾憹 + 饾憺 as the number located a distance |饾憺| from 饾憹, in the positive or negative direction, depending on whether 饾憺 is positive or negative. Interpret sums of rational numbers by describing applicable situations.

     

    7.NR.1.3 Represent addition and subtraction with rational numbers on a horizontal or a vertical number line diagram to solve real-life problems.

     

    7.NR.1.4 Show and explain subtraction of rational numbers as adding the additive inverse,  饾憹 – 饾憺 = 饾憹 + (–饾憺). Show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in contextual situations.

     

    7.NR.1.5 Apply properties of operations, including part-whole reasoning, as strategies to add and subtract rational numbers.

     

    7.NR.1.6  Make sense of multiplication of rational numbers using realistic applications.

     

    7.NR.1.7 Show and explain that integers can be divided, assuming the divisor is not zero, and every quotient of integers is a rational number.

     

    7.NR.1.8 Represent the multiplication and division of integers using a variety of strategies and interpret products and quotients of rational numbers by describing them based on the relevant situation.

     

    7.NR.1.9 Apply properties of operations as strategies to solve multiplication and division problems involving rational numbers represented in a applicable scenario.

     

    7.NR.1.10 Convert rational numbers between forms to include fractions, decimal numbers and percents, using understanding of the part divided by the whole. Know that the decimal form of a rational number terminates in 0s or eventually repeats.

     

    7.NR.1.11 Solve multi-step contextual problems involving rational numbers, converting between forms as appropriate, and assessing the reasonableness of answers using mental computation and estimation strategies.