Nebraska State Standards for Mathematics: Grade 5
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NE.MA 5.1. Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 5.1.1. Number System: Students will represent and show relationships among positive rational numbers.
MA 5.1.1.a. Demonstrate multiple equivalent representations for whole numbers and decimals through the thousandths place (e.g., 3.125 is 3 + .1 + .02 + .005)
MA 5.1.1.b. Compare and order whole numbers, fractions, and decimals through the thousandths place
MA 5.1.1.c. Identify and name fractions in their simplest form and find common denominators for fractions
MA 5.1.1.d. Recognize and generate equivalent forms of commonly used fractions, decimals, and percents (e.g., one third, one fourth, one half, two thirds, three fourths)
MA 5.1.1.e. Classify a number as prime or composite
MA 5.1.1.f. Identify factors and multiples of any whole number
MA 5.1.1.g. Round whole numbers and decimals to any given place
MA 5.1.2. Operations: Students will demonstrate the meaning of arithmetic operations with whole numbers.
MA 5.1.2.a. Use words and symbols to explain the meaning of the identity properties for addition and multiplication
MA 5.1.2.b. Use words and symbols to explain the meaning of the commutative and associative properties of addition and multiplication
MA 5.1.2.c. Use words and symbols to explain the distributive property of multiplication over addition (e.g., 5 (y + 2) = 5y + 5 x 2)
MA 5.1.3. Computation: Students will compute fluently and accurately using appropriate strategies and tools.
MA 5.1.3.a. Add and subtract positive rational numbers (e.g., proper and improper fractions, mixed numbers, fractions with common and uncommon denominators, decimals through the thousandths place)
MA 5.1.3.b. Select, apply and explain the appropriate method of computation when problem solving (e.g., models, mental computation, paper-pencil, technology)
MA 5.1.3.c. Multiply decimals
MA 5.1.3.d. Divide a decimal by a whole number
MA 5.1.4. Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools.
MA 5.1.4.a. Estimate the sums and differences of positive rational numbers to check the reasonableness of such results
NE.MA 5.2. Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 5.2.1. Characteristics: Students will describe relationships among two-dimensional shapes and three-dimensional objects.
MA 5.2.1.a. Identify the number of edges, faces, and vertices of triangular and rectangular prisms
MA 5.2.1.b. Justify congruence of two-dimensional shapes
MA 5.2.1.c. Justify the classification of two-dimensional shapes (e.g., triangles by angles and sides)
MA 5.2.1.d. Identify degrees on a circle (e.g., 45, 90, 180, 270, 360)
MA 5.2.2. Coordinate Geometry: Students will identify locations using coordinate geometry.
MA 5.2.2.a. Plot the location of an ordered pair in the first quadrant
MA 5.2.3. Transformations: Students will identify and use simple transformations.
MA 5.2.3.a. Perform one-step transformations on two dimensional shapes (e.g., translation, rotation, reflection, of 90, 180, and 270)
MA 5.2.4. Spatial Modeling: Students will create and use geometric models to solve problems.
MA 5.2.4.a. Build or sketch a geometric model to solve a problem
MA 5.2.4.b. Sketch congruent shapes
MA 5.2.4.c. Build rectangular prisms using cubes
MA 5.2.5. Measurement: Students will apply appropriate procedures, tools, and formulas to determine measurements using customary and metric units.
MA 5.2.5.a. Select and use appropriate tools to measure perimeter and angles
MA 5.2.5.b. Identify correct unit (customary or metric) to the measurement situation (e.g., distance from home to school; measure length of a room)
MA 5.2.5.c. Estimate and measure length with customary units to the nearest 1/4 inch
MA 5.2.5.d. Measure capacity/volume with customary units
MA 5.2.5.e. Measure weight (mass) and temperature using metric units
MA 5.2.5.f. Determine the area of rectangles and squares
NE.MA 5.3. Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 5.3.1. Relationships: Students will represent, analyze, and generalize relationships.
MA 5.3.1.a. Describe, extend, apply rules, and make generalizations about numeric, and geometric patterns
MA 5.3.1.b. Create and analyze numeric patterns using words, tables, and graphs
MA 5.3.1.c. Communicate relationships using expressions and equations
MA 5.3.2. Modeling in Context: Students will create, use, and compare models representing mathematical situations.
MA 5.3.2.a. Model situations that involve the addition, subtraction, and multiplication of positive rational numbers using words, graphs, and tables
MA 5.3.2.b. Represent a variety of quantitative relationships using tables and graphs
MA 5.3.2.c. Compare different models to represent mathematical situations
MA 5.3.3. Procedures: Students will apply properties of simple positive rational numbers to solve one-step equations.
MA 5.3.3.a. Explain the addition property of equality (e.g., if a = b, then a + c = b + c)
MA 5.3.3.b. Use symbolic representations of the associative property (e.g., (2 + 3) + 4 = 2 + (3 + n), (2 * 3) * 4 = 2 * (3 * n))
MA 5.3.3.c. Evaluate numerical expressions by using parentheses with respect to order of operations (e.g., 6 + (3 * 5))
MA 5.3.3.d. Evaluate simple algebraic expressions involving addition and subtraction
MA 5.3.3.e. Solve one-step addition and subtraction equations involving common positive rational numbers
MA 5.3.3.f. Identify and explain the properties of equality used in solving one-step equations involving common positive rational numbers
NE.MA 5.4. Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 5.4.1. Display and Analysis: Students will organize, display, compare, and interpret data.
MA 5.4.1.a. Represent data using line graphs
MA 5.4.1.b. Represent the same set of data in different formats (e.g., table, pictographs, bar graphs, line graphs)
MA 5.4.1.c. Draw conclusions based on a set of data
MA 5.4.1.d. Find the mean, median, mode, and range for a set of whole numbers
MA 5.4.1.e. Generate questions and answers from data sets and their graphical representations
MA 5.4.2. Predictions and Inferences: Students will construct predictions based on data.
MA 5.4.2.a. Make predictions based on data to answer questions from tables, bar graphs, and line graphs
MA 5.4.3. Probability: Students will determine theoretical probabilities.
MA 5.4.3.a. Perform and record results of probability experiments
MA 5.4.3.b. Generate a list of possible outcomes for a simple event
MA 5.4.3.c. Explain that the likelihood of an event that can be represented by a number from 0 (impossible) to 1 (certain)