Nebraska State Standards for Mathematics: Grade 5

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)