1 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 1 2 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 2 3 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. 3