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Virginia Standards

7th Grade Math SOL

All 15 Virginia math standards for 7th grade, each explained in plain English. The official wording is in Virginia Department of Education's document, linked at the end of this page.

15 standards

Number and Number Sense

3 standards
7.NS.1
Write negative powers of 10 as fractions or decimals, like 10⁻² = 1/100, switch positive numbers between scientific notation and decimals, and order up to four of them.
7.NS.2
Compare and order up to four rational numbers, positive or negative, mixing integers, fractions, decimals and percents, using number lines and benchmarks.
7.NS.3
Find the positive square root of any perfect square from 0 to 400, like the square root of 196 being 14, and explain how square roots undo squaring.

Computation and Estimation

2 standards
7.CE.1
Estimate, solve and justify multistep word problems using all four operations with positive and negative integers, fractions, mixed numbers and decimals.
7.CE.2
Solve proportion problems with ratio tables and equations like 3/4 = x/20, convert units using a given conversion factor, and estimate and find a percent of a number.

Measurement and Geometry

4 standards
7.MG.1
Derive and use formulas for cylinder volume and for prism and cylinder surface area, choose which a problem needs, and explain how scaling one edge of a box changes them.
7.MG.2
Match corresponding parts of similar triangles and quadrilaterals, test similarity with side ratios, and use proportions to find missing sides or read scale drawings.
7.MG.3
Sort parallelograms, rectangles, squares, rhombi and trapezoids by sides, angles, diagonals and symmetry, and use those properties to find a missing angle or side.
7.MG.4
Dilate a polygon about the origin by factors of 1/4, 1/2, 2, 3 or 4 on the coordinate plane, find and sketch the new vertices, and spot dilations in scale drawings.

Probability and Statistics

2 standards
7.PS.1
Find theoretical and experimental probabilities of an event, and explain why results from many trials or simulations drift toward the theoretical value.
7.PS.2
Pose a question, gather a large random sample, display the data in a histogram, explain how interval width changes its look, and compare it with other graph types.

Patterns, Functions, and Algebra

4 standards
7.PFA.1
Find the slope of a proportional relationship from a table, graph or story, write it as y = mx, graph the line, and tell if a slope is positive, negative or zero.
7.PFA.2
Simplify numerical expressions with exponents and absolute value, combine like terms in one-variable expressions, and evaluate expressions for given values.
7.PFA.3
Write and solve two-step equations like 2x + 5 = 17 using models and properties of equality, check solutions, and write equations and stories that match each other.
7.PFA.4
Solve one- and two-step inequalities, flipping the sign when multiplying or dividing by a negative, graph solutions on a number line, and write them for real situations.

The official Virginia documents

The plain-English lines on this page are EMStudio's own explanations of Virginia's standards, not the official wording, which Virginia Department of Education publishes in the documents above. Codes and strand names identify each standard.