Common Core Math: Number System
From sixth to eighth grade, students build an understanding of the real number system. In sixth grade, students add, subtract, multiply and divide rational numbers, which include whole numbers, fractions and negative numbers. Their explorations of rational numbers lead them to find factors and multiples of whole numbers, perform operations with fractions and conceptualize negative numbers. By eighth grade, students extend their knowledge of rational numbers to include irrational numbers such as pi or the square root of 2. Taken together, the rational and irrational numbers define the full set of real numbers, which is foundational to future math courses. All along the way, students represent numbers visually by plotting numbers on number lines and ordered pairs in the coordinate plane.
Common Core Standards
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Perform arithmetic with integers, fractions and decimals, including with multiple operations in one expression.
Add and subtract rational numbers (CCSS.Math.Content.7.NS.A.1):
Recognize patterns in multiplication and division (CCSS.Math.Content.7.NS.A.2):
Perform multiple operations with rational numbers (CCSS.Math.Content.7.NS.A.2c):
Convert a rational number to a decimal (CCSS.Math.Content.7.NS.A.2d):
Perform arithmetic with, explore properties of and make plots of rational numbers.
Divide with fractions (CCSS.Math.Content.6.NS.A.1):
Perform arithmetic with decimals (CCSS.Math.Content.6.NS.B.3):
Calculate the greatest common factor (CCSS.Math.Content.6.NS.B.4):
Represent numbers on a number line (CCSS.Math.Content.6.NS.C.6c):
Plot ordered pairs as points (CCSS.Math.Content.6.NS.C.6b):
Find the distance between two points (CCSS.Math.Content.6.NS.C.8):
Classify irrational numbers and continue manipulating and ordering rational numbers.