Nebraska State Standards for Mathematics: Grade 6

NE.MA 6.1. Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 6.1.1. Number System: Students will represent and show relationships among positive rational numbers and integers.

MA 6.1.1.a. Show equivalence among common fractions and non-repeating decimals and percents

MA 6.1.1.b. Compare and order positive and negative integers

MA 6.1.1.c. Identify integers less than 0 on a number line

MA 6.1.1.d. Represent large numbers using exponential notation (e.g., 1,000 = 10^3)

MA 6.1.1.e. Identify the prime factorization of numbers (e.g., 12 = 2 x 2 x 3 or 2^2 x 3)

MA 6.1.1.f. Classify numbers as natural, whole, or integer

MA 6.1.2. Operations: Students will demonstrate the meaning of arithmetic operations with positive fractions and decimals.

MA 6.1.2.a. Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions

MA 6.1.2.b. Use drawings, words, and symbols to explain the meaning of addition and subtraction of decimals

MA 6.1.3. Computation: Students will compute fluently and accurately using appropriate strategies and tools.

MA 6.1.3.a. Multiply and divide positive rational numbers

MA 6.1.3.b. Select and apply the appropriate method of computation when problem solving (e.g., models, mental computation, paper-pencil, technology, divisibility rules)

MA 6.1.4. Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools.

MA 6.1.4.a. Use appropriate estimation methods to check the reasonableness of solutions for problems involving positive rational numbers

NE.MA 6.2. Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 6.2.1. Characteristics: Students will compare and contrast properties among two-dimensional shapes and among three-dimensional objects.

MA 6.2.1.a. Justify the classification of three dimensional objects

MA 6.2.2. Coordinate Geometry: Students will label points using coordinate geometry.

MA 6.2.2.a. Identify the ordered pair of a plotted point in the coordinate plane

MA 6.2.3. Transformations: Students will use and describe results of transformations on geometric shapes.

MA 6.2.3.a. Perform and describe positions and orientation of shapes under single transformations (translation, rotation, reflection) not on a coordinate plane

MA 6.2.4. Spatial Modeling: Students will use visualization of geometric models to solve problems.

MA 6.2.4.a. Identify two-dimensional drawings of three-dimensional objects

MA 6.2.5. Measurement: Students will apply appropriate procedures, tools, and formulas to determine measurements.

MA 6.2.5.a. Estimate and measure length with customary and metric units to the nearest 1/16 inch and mm

MA 6.2.5.b. Measure volume/capacity using the metric system

MA 6.2.5.c. Convert length, weight (mass), and liquid capacity from one unit to another within the same system

MA 6.2.5.d. Determine the perimeter of polygons

MA 6.2.5.e. Determine the area of parallelograms and triangles

MA 6.2.5.f. Determine the volume of rectangular prisms

NE.MA 6.3. Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 6.3.1. Relationships: Students will represent, analyze, and use relationships to make generalizations.

MA 6.3.1.a. Describe and create simple algebraic expressions (e.g., one operation, one variable) from words and tables

MA 6.3.1.b. Use a variable to describe a situation with an equation (e.g., one-step, one variable)

MA 6.3.1.c. Identify relationships as increasing, decreasing, or constant

MA 6.3.2. Modeling in Context: Students will create, use, and interpret models of quantitative relationships.

MA 6.3.2.a. Model contextualized problems using various representations (e.g., graphs, tables)

MA 6.3.2.b. Represent a variety of quantitative relationships using symbols and words

MA 6.3.3. Procedures: Students will apply properties to solve equations.

MA 6.3.3.a. Explain the multiplication property of equality (e.g., if a = b, then ac = bc)

MA 6.3.3.b. Evaluate numerical expressions containing multiple operations with respect to order of operations (e.g., 2 + 4 x 5)

MA 6.3.3.c. Evaluate simple algebraic expressions involving multiplication and division

MA 6.3.3.d. Solve one-step equations involving positive rational numbers

MA 6.3.3.e. Identify and explain the properties of equality used in solving one-step equations (e.g., addition, subtraction, division)

NE.MA 6.4. Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 6.4.1. Display and Analysis: Students will organize, display, compare, and interpret data.

MA 6.4.1.a. Represent data using stem and leaf plots, histograms, and frequency charts

MA 6.4.1.b. Compare and interpret data sets and their graphical representations

MA 6.4.1.c. Find the mean, median, mode, and range for a set of data

MA 6.4.1.d. Compare the mean, median, mode, and range from two sets of data

MA 6.4.2. Predictions and Inferences: Students will construct predictions based on data.

MA 6.4.2.a. Make predictions based on data and create questions to further investigate the quality of the predictions

MA 6.4.3. Probability: Students will apply basic concepts of probability.

MA 6.4.3.a. Describe the theoretical probability of an event using a fraction, percentage, decimal, or ratio

MA 6.4.3.b. Compute theoretical probabilities for independent events

MA 6.4.3.c. Find experimental probability for independent events