IXL - South Carolina eighth-grade math standards

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Skills available for South Carolina eighth-grade math standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
2007 South Carolina Curriculum Standards 2007 South Carolina Curriculum Standards

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8-1 Mathematical Processes

8-2 Number and Operations

8-2.1 Apply an algorithm to add, subtract, multiply, and divide integers.
8-2.2 Understand the effect of multiplying and dividing a rational number by another rational number.
8-2.3 Represent the approximate location of irrational numbers on a number line.
- Integers: Integers on number lines (Eighth grade - B.1)
- Rational numbers: Put rational numbers in order (Eighth grade - D.8)
8-2.4 Compare rational and irrational numbers by using the symbols "less than or equal to", "greater than or equal to", <, >, and =.
8-2.5 Apply the concept of absolute value.
8-2.6 Apply strategies and procedures to approximate between two whole numbers the square roots or cube roots of numbers less than 1,000.
8-2.7 Apply ratios, rates, and proportions.

8-3 Algebra

8-3.1 Translate among verbal, graphic, tabular, and algebraic representations of linear functions.
8-3.2 Represent algebraic relationships with equations and inequalities.
8-3.3 Use commutative, associative, and distributive properties to examine the equivalence of a variety of algebraic expressions.
8-3.4 Apply procedures to solve multistep equations.
8-3.5 Classify relationships between two variables in graphs, tables, and/or equations as either linear or nonlinear.
- Nonlinear functions: Identify linear and nonlinear functions (Eighth grade - W.1)
8-3.6 Identify the coordinates of the x- and y-intercepts of a linear equation from a graph, equation, and/or table.
- Linear functions: Graph a line from an equation (Eighth grade - V.7)
8-3.7 Identify the slope of a linear equation from a graph, equation, and/or table.

8-4 Geometry

8-4.1 Apply the Pythagorean theorem.
8-4.2 Use ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane.
8-4.3 Apply a dilation to a square, rectangle, or right triangle in a coordinate plane.
- Transformations: Dilations: graph the image (Eighth grade - R.8)
8-4.4 Analyze the effect of a dilation on a square, rectangle, or right triangle in a coordinate plane.
- Transformations: Dilations: find the coordinates (Eighth grade - R.9)

8-5 Measurement

8-5.1 Use proportional reasoning and the properties of similar shapes to determine the length of a missing side.
- Geometry: Similar and congruent figures (Eighth grade - Q.9)
- Geometry: Similar figures: side lengths and angle measures (Eighth grade - Q.10)
8-5.2 Explain the effect on the area of two-dimensional shapes and on the volume of three-dimensional shapes when one or more of the dimensions are changed.
- Geometry: Perimeter, area, and volume: changes in scale (Eighth grade - Q.32)
8-5.3 Apply strategies and formulas to determine the volume of the three-dimensional shapes cone and sphere.
- Geometry: Volume of pyramids and cones (Eighth grade - Q.28)
- Geometry: Volume and surface area of spheres (Eighth grade - Q.29)
8-5.4 Apply formulas to determine the exact (pi) circumference and area of a circle.
8-5.5 Apply formulas to determine the perimeters and areas of trapezoids.
8-5.6 Analyze a variety of measurement situations to determine the necessary level of accuracy and precision.
- Measurement: Precision (Eighth grade - L.5)
8-5.7 Use multistep unit analysis to convert between and within U.S. Customary System and the metric system.

8-6 Data Analysis and Probability

8-6.1 Generalize the relationship between two sets of data by using scatterplots and lines of best fit.
- Charts and graphs: Scatter plots (Eighth grade - N.13)
8-6.2 Organize data in matrices or scatterplots as appropriate.
8-6.3 Use theoretical and experimental probability to make inferences and convincing arguments about an event or events.
8-6.4 Apply procedures to calculate the probability of two dependent events.
- Probability: Probability of independent and dependent events (Eighth grade - AA.7)
8-6.5 Interpret the probability for two dependent events.
- Probability: Identify independent and dependent events (Eighth grade - AA.6)
8-6.6 Apply procedures to compute the odds of a given event.
8-6.7 Analyze probability using area models.
8-6.8 Interpret graphic and tabular data representations by using range and the measures of central tendency (mean, median, and mode).