North Carolina Grade 6 Math

NC.6

• NC.6.RP.1Understand the concept of a ratio and use ratio language to:
• NC.6.RP.2Understand that ratios can be expressed as equivalent unit ratios by finding and interpreting both unit ratios in context
• NC.6.RP.3Use ratio reasoning with equivalent whole-number ratios to solve real-world and mathematical problems by:
• NC.6.RP.4Use ratio reasoning to solve real-world and mathematical problems with percents by:
• NC.6.NS.1Use visual models and common denominators to:
• NC.6.NS.2Fluently divide using long division with a minimum of a four-digit dividend and interpret the quotient and remainder in context
• NC.6.NS.3Apply and extend previous understandings of decimals to develop and fluently use the standard algorithms for addition, subtraction, multiplication and division of decimals
• NC.6.NS.4Understand and use prime factorization and the relationships between factors to:
• NC.6.NS.5Understand and use rational numbers to:
• NC.6.NS.6Understand rational numbers as points on the number line and as ordered pairs on a coordinate plane
• NC.6.NS.7Understand ordering of rational numbers
• NC.6.NS.8Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate
• NC.6.NS.9Apply and extend previous understandings of addition and subtraction
• NC.6.EE.1Write and evaluate numerical expressions, with and without grouping symbols, involving whole-number exponents
• NC.6.EE.2Write, read, and evaluate algebraic expressions
• NC.6.EE.3Apply the properties of operations to generate equivalent expressions without exponents
• NC.6.EE.4Identify when two expressions are equivalent and justify with mathematical reasoning
• NC.6.EE.5Use substitution to determine whether a given number in a specified set makes an equation true
• NC.6.EE.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem
• NC.6.EE.7Solve real-world and mathematical problems by writing and solving equations of the form:x+p=qin which p, q and x are all nonnegative rational numbers; andpx=qfor cases in which p, q and x are all nonnegative rational numbers
• NC.6.EE.8Reason about inequalities by:
• NC.6.EE.9Represent and analyze quantitative relationships by:
• NC.6.G.1Create geometric models to solve real-world and mathematical problems to:
• NC.6.G.2Apply and extend previous understandings of the volume of a right rectangular prism to find the volume of right rectangular prisms with fractional edge lengths. Apply this understanding to the context of solving real-world and mathematical problems
• NC.6.G.3Use the coordinate plane to solve real-world and mathematical problems by:
• NC.6.G.4Represent right prisms and right pyramids using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems
• NC.6.SP.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers
• NC.6.SP.2Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape
• NC.6.SP.3Understand that both a measure of center and a description of variability should be considered when describing a numerical data set
• NC.6.SP.4Display numerical data in plots on a number line
• NC.6.SP.5Summarize numerical data sets in relation to their context