Mathematics Standards of Learning
Reprinted with permission from:

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Intro | Kindergarten | Grade 1 | Grade 2 | Grade 3 | Grade 4 | Grade 5 | Grade 6 | Pre Algebra | Algebra I | Geometry

Grade 6

Number Sense

• 6-1 read, write, and order positive and negative decimals to the nearest hundred-thousandth
• 6-2 write decimals in expanded form and write numbers in expanded form with scientific notation
• 6-3 round whole numbers to the nearest ten through million
• 6-4 round decimals (and decimal quotients) to the nearest whole number, tenth, hundredth, and thousandth
• 6-5 read and evaluate numerical expressions with exponents
• 6-6 identify powers of 10 to 10⁶
• 6-7 compare positive and negative decimals, mixed numbers, whole numbers and fractions with like and unlike denominators, using the signs <,>, and =, including scientific notation.

Decimals, Fractions, Ratios and Percents

• 6-8 estimate decimal sums, differences, products and quotients with rounding, and verify the solution
• 6-9 determine whether a number is a prime number or a composite number, and explain the concepts of prime and composite numbers
• 6-10 identify the reciprocal of a given fraction and know that the product of a given number and its reciprocal = 1
• 6-11 round fractions to the nearest whole number, 1/2, 1/3, 1/4, 1/5, 1/8, and 1/10
• 6-12 translate among percent, fractions and decimals, including repeating decimals
• 6-13 add and subtract positive and negative decimals, mixed numbers, whole numbers and fractions with like and unlike denominators
• 6-14 multiply and divide positive and negative decimals, mixed numbers, whole numbers and fractions, including dividing by a fraction
• 6-15 solve problems involving percent increase and decrease and with percent greater than 100%
• 6-16 solve problems that involve addition, subtraction, and/or multiplication with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators, and express their answers in simplest form
• 6-17 use estimation strategies to solve multi-step practical problems involving whole numbers, decimals, and fractions.
• 6-18 compare two values or variables as ratios using appropriate notations such as a/b, a to b, and a:b
• 6-19 solve proportions, including word problems involving proportions with one unknown
• 6-20 use ratios and proportions to interpret map scales and scale drawings
• 6-21 solve multi-step consumer application problems involving fractions and decimals
• 6-22 recognize probability as a measure of the likelihood that an event will happen and express probability of a given event as a fraction and as a ratio

Measurement

• 6-23 Associate prefixes used in metric system with quantities: kilo, hecto, deka, deci, centi, milli
• 6-24 compare and convert units of measures for length, weight/mass, and volume within the U.S. Customary system and within the metric system and estimate conversions between units in each system

Geometry

• 6-25 estimate angle measures to 30 degrees and use the appropriate tools to measure the given angles
• 6-26 identify and use signs that mean is congruent to, is similar to, is parallel to, and is perpendicular to
• 6-27 construct parallel lines and a parallelogram
• 6-28 know that, if two lines are parallel, any line perpendicular to one is also perpendicular to the other
• 6-29 know that two lines that are both perpendicular to another line are parallel to each other
• 6-30 bisect an angle
• 6-31 construct an angle congruent to a given angle
• 6-32 construct a figure congruent to a given figure, using reflection over a line of symmetry, and identify corresponding parts
• 6-33 Show how congruent plane figures can be made to correspond through reflection, rotation, and translation
• 6-34 know that sum of the measures of the angles of a triangle
• 6-35 identify congruent angles and sides, and axes of symmetry, in parallelograms, rhombuses, rectangles, and squares
• 6-36 find the area and perimeter of a rectangle, square, triangle, parallelogram, and circle
• 6-37 find the volume of rectangular solids and find a missing dimension given the volume
• 6-38 determine if geometric figures (quadrilaterals and triangles) are similar and write proportions to express the relationships between corresponding parts of similar figures

Algebra and Graphing

• 6-39 Recognize variables and solve linear equations in one variable
• 6-40 write and solve equations for word problems
• 6-41 create data summaries in graphic form (bar, line, and circle graphs)
• 6-42 solve problems requiring interpretation and application of graphically displayed data
• 6-43 plot points on a coordinate plane, using ordered pairs of positive and negative whole numbers
• 6-44 use the terms origin, x-axis, and y-axis working with the coordinate plane
• 6-45 graph simple functions and solve problems involving use of a coordinate plane