#### 6.NSO-N: Number Sense

6.NSO-N.1: Explain the properties of and compute with rational numbers, expressed in a variety of forms.

6.NSO-N.2: Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.

6.NSO-N.3: Know that numbers and their opposites add to 0 and are on opposite sides and at equal distance from 0 on a number line; know that 0 is an integer that is neither negative nor positive.

6.NSO-N.5: Identify and determine common equivalent fractions, mixed numbers, decimals, and percentages.

6.NSO-N.6: Apply number theory concepts — including prime and composite numbers; prime factorization; greatest common factor; least common multiple; and divisibility rules for 2, 3, 4, 5, 6, 9, and 10 — to the solution of problems.

#### 6.NSO-C: Computation and Operations

6.NSO-C.8: Select and use appropriate operations to solve problems involving addition, subtraction, multiplication, division, and positive integer exponents with whole numbers and with positive fractions, mixed numbers, decimals, and percentages.

6.NSO-C.9: Know integer subtraction is the inverse of integer addition; use the number line to model addition and subtraction of integers and add and subtract integers.

6.NSO-C.10: Accurately and efficiently add, subtract, multiply, and divide (with multidigit divisors) whole numbers and positive decimals.

6.NSO-C.13: Calculate given percentages of quantities, and solve problems involving discounts at sales, interest earned, and tips.

6.NSO-C.14: Solve simple proportion problems using such methods as unit rate, scaling, finding equivalent fractions, and solving the proportion equation a/b = c/d.

6.NSO-C.15: Apply laws of exponents to multiply whole number powers with like bases.

6.NSO-C.17: Apply the Order of Operations for expressions involving addition, subtraction, multiplication, and division with grouping symbols.

#### 6.NSO-E: Estimation

6.NSO-E.18: Estimate results of computations with whole numbers and with positive fractions, mixed numbers, decimals, and percentages. Determine reasonableness of estimates.

#### 6.PRA: Patterns, Relations, and Algebra

6.PRA.1: Use the properties of equality to solve problems using letter name variables. (e.g., 1/4 + x = 7/12).

6.PRA.2: Write and solve one-step linear equations and check the answers.

6.PRA.5: Understand that adding or subtracting the same number to both sides of an equation creates a new equation that has the same truth values.

6.PRA.6: Understand that multiplying or dividing both sides of an equation by the same nonzero number creates a new equation that has the same truth values.

6.PRA.7: Distinguish between an algebraic expression and an equation.

6.PRA.8: Recognize when information given in a table, graph, or formula suggests a proportional or linear relationship.

6.PRA.9: Produce and interpret graphs that represent the relationship between two variables (x and y) in everyday situations.

#### 6.G: Geometry

6.G.1: Match three-dimensional objects and their two-dimensional representations (e.g., nets, projections, and perspective drawings).

6.G.2: Identify angles as vertical, adjacent, complementary, or supplementary; provide descriptions of these terms; and use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle.

6.G.3: Determine if two shapes are congruent by motions or series of motions (e.g., translations, rotations, and reflections); predict the results of transformations on unmarked planes and draw the transformed figure (e.g., predict how tessellations transform under translation, reflection, and rotation).

6.G.4: Graph points and identify coordinates of points on the Cartesian coordinate plane in all four quadrants.

#### 6.M: Measurement

6.M.1: Differentiate between and use appropriate units of measures for two- and three-dimensional objects (i.e., when finding perimeter, area, and volume).

6.M.2: Find areas of triangles and parallelograms. Recognize that shapes with the same number of sides but different appearances can have the same area.

6.M.3: Develop strategies to find the area and perimeter of complex shapes (e.g., subdividing them into basic shapes such as quadrilaterals, triangles, circles).

6.M.4: Solve problems involving proportional relationships and units of measurement (e.g., same system unit conversions, scale models, maps, and speed).

6.M.6: Identify, measure, describe, classify, and construct various angles, triangles, and quadrilaterals; measure the interior angles of various polygons.

6.M.7: Understand the concept of the constant pi; know the formulas for the circumference and area of a circle. Use the concepts to solve problems.

6.M.8: Know and use the formulas for the volumes and surface areas of cubes and rectangular prisms, given the lengths of their sides.

6.M.9: Find the sum of the angles in simple polygons (up to eight sides) with and without measuring the angles.

#### 6.DASP: Data Analysis, Statistics, and Probability

6.DASP.1: Describe and compare data sets using the concepts of median, mean, mode, maximum and minimum, and range.

6.DASP.3: Construct, label, and interpret stem-and-leaf plots.

6.DASP.4: Use tree diagrams and other models (e.g., lists and tables) to represent possible or actual outcomes of trials.

6.DASP.7: Use appropriate ratios between 0 and 1 to represent the probability of the outcome and associate the probability with the likelihood of the event; know that 0 probability means an event will not occur and that a probability of 1 means an event will occur.

Correlation last revised: 5/9/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.