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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.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 6.1.2. 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
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 6.2.5. 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.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 6.3.2. 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.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 6.4.3. 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
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