Mathematics: Grade Eight

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Mathematics: Grade Eight (Supplemental Information)
Alignment of ARMT and SAT-10
ARMT Standard
SAT-10 Objective
NUMBER AND OPERATIONS
1.Use various strategies and operations to solve problems involving real numbers
Number Sense & Operations
 Compare & order real numbers
 Identify alternative representations of real numbers
 Identify & use order of operations rules
 Compare & order real numbers
 Solve problems using appropriate strategies
 Translate problem situations into symbolic notation
 Solve problems using numerical reasoning
 Solve problems using non-routine strategies
Computation with Whole Numbers, Decimals, Fractions, & Integers
 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
 Addition of decimals using symbolic notation and in context
 Subtraction of decimals using symbolic notation and in context
 Multiplication of decimals using symbolic notation and in context
 Division of decimals using symbolic notation and in context
 Addition of fractions using symbolic notation and in context
 Subtraction of fractions using symbolic notation and in context
 Multiplication of fractions using symbolic notation and in context
 Division of fractions using symbolic notation and in context
 Addition of integers using symbolic notation and in context
 Subtraction of integers using symbolic notation and in context
 Multiplication of integers using symbolic notation and in context
 Division of integers using symbolic notation and in context
Number Sense & Operations
 Identify alternative representations of real numbers
Patterns, Relationships, & Algebra
 Solve problems involving ratio or proportions
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2.Apply one or more of the laws of exponents to simplify expressions containing
natural number exponents
3.Use order of operations to evaluate and simplify algebraic expressions
5.Solve problems involving linear functions
6. Solve multi-step linear equations, including equations requiring the use of the
distributive property
7.Solve problems using the Pythagorean Theorem
Number Sense & Operations
 Simplify expressions containing exponents
 Identify numbers expressed in scientific notation
Patterns, Relationships, & Algebra
 Evaluate expressions
Identify equivalent algebraic expressions and equations
Patterns, Relationships, & Algebra

Solve linear equations

Identify equations of linear functions given tables of values, points,
or graphs
Patterns, Relationships, & Algebra
 Solve linear equations
Geometry & Measurement

Solve problems using the Pythagorean Theorem
8.Compare quadrilaterals, triangles, and solids using their properties and
characteristics
Geometry & Measurement

Solve problems using properties of geometric figures
9.Determine measures of special angle pairs, including adjacent, vertical,
supplementary, complementary angles, and angles formed by parallel lines cut by
a transversal
Geometry & Measurement

Classify angles

Solve problems using spatial
reasoning

Solve problems using properties of geometric figures
10.Determine the perimeter and area of regular and irregular plane shapes
Geometry & Measurement
 Solve problems involving perimeter, circumference, area, or volume
Geometry & Measurement
11.Determine surface area and volume of rectangular prisms, cylinders, and
pyramids

12.Determine lengths of missing sides and measures of angles in similar and
congruent shapes
13.Use given and collected data from samples or populations to construct graphs
and interpret data ( box-and-whisker plot, circle graph, scatter plot, stem-andleaf plot, double stem-and-leaf plot, double box-and-whisker plot)
14.Determine the theoretical probability of an event
Solve problems involving perimeter, circumference, area, or volume
Patterns, Relationships, & Algebra
Solve problems involving ratio or proportion
Data, Statistics, & Probability

Analyze data and draw inferences from tables and graphs

Determine and use measures of central tendency and dispersion
Data, Statistics, & Probability
 Find the probability of a simple or compound event
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SAT-10 STANDARDS/OBJECTIVES THAT DO NOT ALIGN TO
ARMT:
Number Sense & Operations
Solve problems using estimation strategies
Patterns, Relationships, & Algebra
Solve problems involving patterns
Solve linear inequalities
Solve problems using logical reasoning
Data, Statistics, & Probability
Determine combinations & permutations
Use statistical sampling to make predictions
Geometry & Measurement
Identify a radius, diameter, or chord of a given circle
Identify geometric transformations
Identify geometric transformations
Convert between units of measurement
Identify points on a coordinate grid
Stanford – 10 Subtests/Content & Process Clusters: Number of Items
Mathematics Problem Solving
Number Sense & Operations: 5 basic understanding / 13 thinking skills
Patterns, Relationships, & Algebra: 9 thinking skills
Data, Statistics, & Probability: 9 thinking skills
Geometry & Measurement: 2 basic understanding / 10 thinking skills
Communication and Representation: 6 basic understanding / 1 thinking skills
Estimation: 1 basic understanding / 8 thinking skills
Mathematical Connections: 18 thinking skills
Reasoning and Problem Solving: 14 thinking skills
Mathematics Procedures
Computation with Decimals: 2 basic understanding / 8 thinking skills
Computation with Fractions: 6 basic understanding / 8 thinking skills
Computation with Integers: 6 basic understanding / 2 thinking skills
Computation in Context: 16 thinking skills
Computation with Symbolic Notation: 14 basic understanding / 2 thinking skills
Sources:
Stanford Achievement Test Series-Tenth Edition: Compendium of Instructional Standards (AL Version). Harcourt Educational Measurement; pp. 169-171 and 180-182.
Alabama Course of Study: Mathematics. Alabama Department of Education; Bulletin 2009, pp. 43-46.
Alabama Reading and Mathematics Test Specifications. Alabama Department of Education; 2005, p. 13.
Curriculum Correlation Document. Alabama Department of Education; Classroom Improvement Section publication.
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