Nebraska Mathematics Learning Standards — Grade 5

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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.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.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

Estimate the sums and differences of positive rational numbers to check the reasonableness of such results

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

Plot the location of an ordered pair in the first quadrant

MA 5.2.3

Perform one-step transformations on two dimensional shapes (e.g., translation, rotation, reflection, of 90, 180, and 270)

MA 5.2.4.a

Build or sketch a geometric model to solve a problem

Sketch congruent

MA 5.2.4.c

Build rectangular prisms using cubes

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 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 5.3.1.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.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.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

MA 5.4.1.a

Represent data using line plots

MA 5.4.1.b

Represent the same set of data in different formats (e.g., table, pictographs, bar graphs, line plots)

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

Make predictions based on data to answer questions from tables, bar graphs, and line plots

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)