Grade 6 Math (Virginia SOL)

Number and Number Sense (NS)

• 6.NS.1 Use varied strategies to show equivalence and to compare and order fractions, mixed numbers, decimals, and percents.
• Estimate the percent shown by a model, including over 100% and under 1%.
• Show equivalence between decimals (through thousandths) and percents using number lines and models.
• Show equivalence between fractions, mixed numbers, and percents using number lines and models.
• Show equivalence among decimals, percents, fractions, and mixed numbers.
• Compare and order up to four positive rational numbers, justifying with strategies or models.
• 6.NS.2 Use varied strategies to represent, compare, and order integers, including in context.
• Represent integers with models and identify the integer shown by a point on a number line.
• Compare and order integers using a number line.
• Compare integers using the symbols <, >, and =.
• Describe absolute value as an integer's distance from zero on a number line.
• 6.NS.3 Recognize and represent patterns with whole-number exponents and perfect squares.
• Recognize and represent patterns with whole-number bases and exponents.
• Represent perfect squares using concrete and pictorial models.
• Justify whether a number between 0 and 400 is a perfect square.
• Represent powers of 10 with whole-number exponents by examining place-value patterns.

Computation and Estimation (CE)

• 6.CE.1 Estimate, demonstrate, solve, and justify operations with fractions and mixed numbers, including in context.
• Model multiplication and division of fractions and mixed numbers with multiple representations.
• Multiply and divide fractions and mixed numbers (denominators 12 or less), in simplest form.
• Explain how multiplying or dividing by a number between zero and one changes a value.
• Estimate and justify contextual fraction and mixed-number addition and subtraction problems.
• 6.CE.2 Estimate, demonstrate, solve, and justify integer operations, including in context.
• Model integer addition, subtraction, multiplication, and division with pictures or concrete materials.
• Add, subtract, multiply, and divide two integers.
• Simplify expressions with absolute value bars and one operation, and show the result on a number line.
• Estimate and justify one- and two-step contextual problems with integer operations.

Measurement and Geometry (MG)

• 6.MG.1 Identify the parts of a circle and solve problems involving circumference and area.
• Identify and describe chord, diameter, radius, circumference, and area of a circle.
• Describe relationships between diameter, radius, and circumference.
• Approximate pi (3.14) by comparing circumference with diameter.
• Develop the circumference formula from the relationships among diameter, radius, and pi.
• Solve circumference and area problems, including in context, given diameter or radius.
• 6.MG.2 Reason mathematically to solve area and perimeter problems for triangles and parallelograms.
• Develop area formulas for parallelograms and triangles using pictures and manipulatives.
• Solve perimeter and area problems for triangles and parallelograms, including in context.
• 6.MG.3 Describe the coordinate plane and graph ordered pairs.
• Identify and label the axes, origin, and quadrants of a coordinate plane.
• Identify the quadrant or axis of a point from its integer ordered pair.
• Graph ordered pairs in all four quadrants and on the axes.
• Identify ordered pairs for points in the quadrants and on the axes.
• Relate coordinates to distances from the axes and to points on the same horizontal or vertical line.
• Draw polygons from vertex coordinates, find side lengths, and apply this in context.
• 6.MG.4 Determine congruence of segments, angles, and polygons.
• Identify regular polygons.
• Draw lines of symmetry that divide regular polygons into two congruent parts.
• Determine congruence of segments and angles from their given properties.
• Determine whether polygons are congruent from their side and angle measures.

Probability and Statistics (PS)

• 6.PS.1 Apply the data cycle with circle graphs.
• Formulate questions that require collecting or acquiring data, with a circle-graph focus.
• Determine needed data and collect or acquire it (e.g. surveys, observations, experiments).
• Identify factors that make collected data a representative sample of a population.
• Organize and represent data in circle graphs, with or without technology.
• Analyze circle graph data by making observations and drawing conclusions.
• Compare circle graphs with other graphs and justify which representation fits the data best.
• 6.PS.2 Represent the mean as a balance point and determine how statistical measures change when data change.
• Represent the mean of a data set as a balance point on a line plot (dot plot).
• Determine how measures of center change when a single value is added, removed, or changed.
• Identify outliers and determine their effect on the mean, median, mode, or range.

Patterns, Functions, and Algebra (PFA)

• 6.PFA.1 Use ratios to represent relationships between quantities, including in context.
• Represent a relationship between two quantities using ratios.
• Represent a contextual comparison using fraction, a:b, or "a to b" notation.
• Represent part-to-part, part-to-whole, and whole-to-whole comparisons.
• Write a verbal relationship for a symbolic ratio.
• Create a table of equivalent ratios from a given ratio.
• Create a table of equivalent ratios from a contextual situation.
• 6.PFA.2 Identify and represent proportional relationships between two quantities with positive unit rates.
• Identify the unit rate from a table, context, or graph.
• Find a missing value in a ratio table using a unit rate.
• Determine whether a proportional relationship exists from a table, context, or graph.
• Given a context, find the unit rate and create a table or graph.
• Connect verbal descriptions, ratio tables, and graphs of the same proportional relationship.
• 6.PFA.3 Write and solve one-step linear equations in one variable, including in context.
• Identify and give examples of equation, variable, expression, term, and coefficient.
• Represent and solve one-step equations with manipulatives and pictorial models.
• Apply properties of equality to solve one-step equations with integer or unit-fraction coefficients.
• Confirm solutions to one-step equations using manipulatives and pictures.
• Write a one-step equation for a verbal or contextual situation.
• Create a verbal or contextual situation for a given one-step equation.
• 6.PFA.4 Represent a contextual situation with a one-variable linear inequality using symbols and number line graphs.
• Write the same inequality in two equivalent ways from a number line graph.
• Write an inequality for a contextual constraint or from a number line graph.
• Create a contextual situation or number line graph for a given inequality.
• Use substitution or a number line to justify whether a number makes an inequality true.
• Identify numerical values in the solution set of an inequality.