Nebraska
Mathematics Standards
Grade 5
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
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 ¼
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
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 19
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
MAData Analysis 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)
