# Virginia State Standards for Mathematics: Grade 6

6.1. The student will describe and compare data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.

6.2. The student will

6.3. The student will

6.3.a) identify and represent integers.

6.3.b) order and compare integers.

6.3.c) identify and describe absolute value of integers.

6.4. The student will demonstrate multiple representations of multiplication and division of fractions.

6.5. The student will investigate and describe concepts of positive exponents and perfect squares.

6.6. The student will

6.6.a) multiply and divide fractions and mixed numbers.

6.6.b) estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions.

6.7. The student will solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

6.8. The student will evaluate whole number numerical expressions, using the order of operations.

6.9. The student will make ballpark comparisons between measurements in the U.S. Customary System of measurement and measurements in the metric system.

6.9.a) Length-part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers;

6.9.b) Weight/mass-ounces, pounds, tons, grams, and kilograms;

6.9.c) Liquid volume-cups, pints, quarts, gallons, milliliters, and liters;

6.9.d) Area-square units.

6.10. The student will

6.11. The student will

6.12. The student will determine congruence of segments, angles, and polygons.

6.12.a) Solve problems involving the circumference and/or area of a circle when given the diameter or radius;

6.12.b) Derive approximations for pi from measurements for circumference and diameter, using concrete materials or computer models.

6.13. The student will describe and identify properties of quadrilaterals.

6.13.a) Estimate angle measures, using 45 degrees, 90 degrees, and 180 degrees as referents, and use the appropriate tools to measure the given angles;

6.13.b) Measure and draw right, acute, and obtuse angles and triangles.

6.14. The student, given a problem situation, will

6.15. The student will

6.16. The student will

6.17. The student will identify and extend geometric and arithmetic sequences.

6.18. The student will solve one-step linear equations in one variable involving whole number coefficients and positive rational solutions.

6.18.a) Line, bar, and circle graphs;

6.18.b) Stem-and-leaf plots; and

6.18.c) Box-and-whisker plots.

6.19. The student will investigate and recognize

6.20.a) Make a sample space for selected experiments and represent it in the form of a list, chart, picture, or tree diagram;

6.20. The student will graph inequalities on a number line.

6.20.b) Determine and interpret the probability of an event occurring from a given sample space and represent the probability as a ratio, decimal or percent, as appropriate for the given situation.

6.21. The student will investigate, describe, and extend numerical and geometric patterns, including triangular numbers, patterns formed by powers of 10, and arithmetic sequences.

6.22. The student will investigate and describe concepts of positive exponents, perfect squares, square roots, and, for numbers greater than 10, scientific notation. Calculators will be used to develop exponential patterns.

6.23. The student will

6.23.a) Model and solve algebraic equations, using concrete materials;

6.23.b) Solve one-step linear equations in one variable, involving whole number coefficients and positive rational solutions;

6.23.c) Use the following algebraic terms appropriately: variable, coefficient, term, and equation.