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NC.8.EE.Expressions and Equations
Expressions and Equations
Analyze and solve pairs of simultaneous linear equations.
NC.8.EE.8. Analyze and solve a system of two linear equations in two variables in slope-intercept form.
NC.8.EE.8.a. Understand that solutions to a system of two linear equations correspond to the points of intersection of their graphs because the point of intersection satisfies both equations simultaneously.
NC.8.EE.8.b. Solve real-world and mathematical problems leading to systems of linear equations by graphing the equations. Solve simple cases by inspection.
NC.8.EE.3. Use numbers expressed in scientific notation to estimate very large or very small quantities and to express how many times as much one is than the other.
Use functions to model relationships between quantities.
NC.8.F.4. Analyze functions that model linear relationships.
NC.8.F.4.a. Understand that a linear relationship can be generalized by ݑ = ưݑڰݑ + Űݑ.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
NC.8.F.4.b. Write an equation in slope-intercept form to model a linear relationship by determining the rate of change and the initial value, given at least two (ݑ, Űݑ) values or a graph.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
NC.8.F.4.d. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of the slope and ݑ-intercept of its graph or a table of values.
NC.8.G.2.b. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
NC.8.G.9. Understand how the formulas for the volumes of cones, cylinders, and spheres are related and use the relationship to solve real-world and mathematical problems.
Know that there are numbers that are not rational, and approximate them by rational numbers.
NC.8.NS.1. Understand that every number has a decimal expansion. Building upon the definition of a rational number, know that an irrational number is defined as a non-repeating, non-terminating decimal.
NC.8.NS.2. Use rational approximations of irrational numbers to compare the size of irrational numbers and locate them approximately on a number line. Estimate the value of expressions involving:
NC.8.NS.2.a. Square roots and cube roots to the tenths.
Investigate patterns of association in bivariate data.
NC.8.SP.1. Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Investigate and describe patterns such as clustering, outliers, positive or negative association, linear association, and n
NC.8.SP.4. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table.
NC.8.SP.4.a. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects.