NC.7.RP.2.d Use a graphical representation of a proportional relationship in context to:
NC.7.RP.2.d.1 Explain the meaning of any point (x, y).
NC.7.RP.2.d.2 Explain the meaning of (0, 0) and why it is included.
NC.7.RP.2.d.3 Understand that the y-coordinate of the ordered pair (1, r) corresponds to the unit rate and explain its meaning.
NC.7.RP.3 Use scale factors and unit rates in proportional relationships to solve ratio and percent problems.
NC.7.NS The Number System
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
NC.7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, using the properties of operations, and describing real-world contexts using sums and differences.
NC.7.NS.2 Apply and extend previous understandings of multiplication and division.
NC.7.NS.2.a Understand that a rational number is any number that can be written as a quotient of integers with a non-zero divisor.
NC.7.NS.2.b Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the product and quotient in real-world contexts.
NC.7.NS.2.c Use division and previous understandings of fractions and decimals.
NC.7.NS.2.c.1 Convert a fraction to a decimal using long division.
NC.7.NS.2.c.2 Understand that the decimal form of a rational number terminates in 0s or eventually repeats.
NC.7.NS.3 Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four operations.
NC.7.G.6 Solve real-world and mathematical problems involving:
NC.7.G.6.a Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
NC.7.G.6.b Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.
NC.7.SP Statistics and Probability
Use random sampling to draw inferences about a population.
NC.7.SP.1 Understand that statistics can be used to gain information about a population by:
NC.7.SP.1.a Recognizing that generalizations about a population from a sample are valid only if the sample is representative of that population.
NC.7.SP.1.b Using random sampling to produce representative samples to support valid inferences.
NC.7.SP.2 Generate multiple random samples (or simulated samples) of the same size to gauge the variation in estimates or predictions, and use this data to draw inferences about a population with an unknown characteristic of interest.
Make informal inferences to compare two populations.
NC.7.SP.3 Recognize the role of variability when comparing two populations.
NC.7.SP.3.a Calculate the measure of variability of a data set and understand that it describes how the values of the data set vary with a single number.
NC.7.SP.3.a.1 Understand the mean absolute deviation of a data set is a measure of variability that describes the average distance that points within a data set are from the mean of the data set.
NC.7.SP.3.a.2 Understand that the range describes the spread of the entire data set.
NC.7.SP.3.a.3 Understand that the interquartile range describes the spread of the middle 50% of the data.
NC.7.SP.3.b Informally assess the difference between two data sets by examining the overlap and separation between the graphical representations of two data sets.
NC.7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw comparative inferences about two populations.
NC.7.SP.6 Collect data to calculate the experimental probability of a chance event, observing its long-run relative frequency. Use this experimental probability to predict the approximate relative frequency.
NC.7.SP.8.b For an event described in everyday language, identify the outcomes in the sample space which compose the event, when the sample space is represented using organized lists, tables, and tree diagrams.
NC.7.SP.8.c Design and use a simulation to generate frequencies for compound events.