Alignment of ARMT and SAT-10 (Supplemental Information)
Fifth Grade Mathematics
ARMT (COS Standards)
SAT-10 Content Standards
1.
Demonstrate concepts of number sense by comparing,
ordering, rounding, and expanding whole numbers
through the millions place and decimals to the
thousandths place
Number Sense & Operations
 Compare and order rational numbers
 Round whole numbers to a specified place value
 Identify alternative representation of rational
numbers
2.
Solve problems involving operations on whole numbers,
including addition and subtraction of seven-digit
numbers, multiplication with two-digit multipliers, and
division with two-digit divisors
Number Sense & Operations
 Solve problems using numerical reasoning
 Solve problems using appropriate strategies
Computation with Whole Numbers
 Addition of whole numbers using symbolic notation
and in context
 Subtraction of whole numbers using symbolic
notation and in context
 Multiplication of whole numbers using symbolic
notation and in context
 Division of whole numbers using symbolic notation
and in context
Number Sense & Operations
 Solve problems using estimation strategies
 Solve problems using appropriate strategies
 Solve problems using appropriate strategies
 Solve problems using numerical reasoning
 Solve problems using appropriate strategies
Computation with Whole Numbers
 Addition of whole numbers using symbolic notation
and in context
 Subtraction of whole numbers using symbolic
notation and in context
 Multiplication of whole numbers using symbolic
notation and in context

3.
Solve word problems that involve decimals, fractions, or
money
Division of whole numbers using symbolic notation
and in context
Number Sense & Operations
 Solve problems using numerical reasoning
 Solve problems using appropriate strategies
Computation with Decimals
 Addition of decimals in context
 Subtraction of decimals in context
 Multiplication of decimals in context
 Division of decimals in context
 Addition of decimals using symbolic notation
 Subtraction of decimals using symbolic notation
 Multiplication of decimals using symbolic notation
 Division of decimals using symbolic notation
Computation with Fractions
 Addition of fractions using symbolic notation and
in context
 Subtraction of fractions using symbolic notation
and in context
4.
Determine the sum and difference of fractions with
common and uncommon denominators
Number Sense & Operations
 Solve problems using numerical reasoning
 Solve problems using appropriate strategies
 Identify factors or multiples of numbers
 Solve problems using estimation strategies
 Identify alternative representations of rational
numbers
Computation with Fractions

Multiplication of fractions using symbolic notation and
in context
5.
Identify numbers less than zero by extending the number
line
6.
Demonstrate the commutative, associative, and identity
properties of addition and multiplication of whole
numbers
Number Sense & Operations
 Identify and use field properties of addition and
multiplication
7.
Write a number sentence for a problem expressed in
words
Patterns, Relationships, & Algebra
 Translate problem situations into algebraic
equations and expressions
Number Sense & Operations

8.
Identify regular polygons and congruent polygons
9.
Construct components of the Cartesian plane, including
the x-axis, y-axis, origin, and quadrants
Translate between visual representations, sentences, and
symbolic notation
Geometry & Measurement

Solve problems using properties of geometric figures
10. Identify the center, radius, and diameter of a circle
11. Estimate perimeter and area of irregular shapes using
unit squares and grid paper
Geometry and Measurement
 Solve problems involving perimeter or area
12. Calculate the perimeter of rectangles from measured
dimensions
13. Convert a larger unit of measurement to a smaller unit of
measurement within the same customary or metric
system
14. Analyze data collected from a survey or experiment to
determine results and factors that affect results
15. Use fractions to represent the probability of events that
are neither certain nor impossible
Data, Statistics, & Probability
 Read and interpret tables and graphs
 Analyze tables and graphs
 Determine and use measures of central tendency
 Determine and use measures of central tendency
Data, Statistics, & Probability

Identify probabilities of simple events
SAT-10 Content Cluster/Standards
Not Aligned with ARMT
Number Sense & Operations
Identify the place value of a digit in a whole or decimal number
Identify and use order of operation rules
Translate numerical expressions into appropriate calculator sequences
Match pictorial models to fraction names and notation
Solve problems using nonroutine strategies
Patterns, Relationships, & Algebra
Solve problems involving patterns
Solve problems using ratio or proportion
Solve simple algebraic equations
Data, Statistics, & Probability
Identify possible outcomes
Determine combinations and permutations
Geometry & Measurement
Identify geometric transformations
Identify points on a coordinate grid
Solve problems using spatial reasoning
Determine measurements indirectly from scale drawings
Estimate capacity using customary or metric units
Identify appropriate units of measure
Estimate or measure length using customary or metric units
Stanford – 10 Subtests/Content & Process Clusters: Number of Items
Mathematics Problem-Solving
Number Sense & Operations: 5 basic understanding / 19 thinking skills
Patterns, Relationships, & Algebra: 6 thinking skills
Data, Statistics, & Probability: 1 basic understanding / 7 thinking skills
Geometry & Measurement: 1 basic understanding / 9 thinking skills
Communication and Representation: 5 basic understanding
Estimation: 2 basic understanding / 8 thinking skills
Mathematical Connections: 20 thinking skills
Reasoning and Problem Solving: 13 thinking skills
Mathematics Procedures
Computation with Whole Numbers: 5 basic understanding / 5 thinking skills
Computation with Decimals: 6 basic understanding / 6 thinking skills
Computation with Fractions: 5 basic understanding / 5 thinking skills
Computation in Context: 16 thinking skills
Computation with Symbolic Notation: 16 basic understanding