Alignment of ARMT and SAT-10: Grade 7 Mathematics (Supplemental Information) Alabama Course of Study (Standard)/ARMT 1. Demonstrate computational fluency with addition, subtraction, multiplication, and division of integers 2. Use order of operations to evaluate numerical expressions SAT-10 Content Standard Computation with Integers 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 and use order of operation rules Identify and use field properties of addition and multiplication Patterns, Relationships, & Algebra Evaluate expressions 3. Solve problems requiring the use of addition, subtraction, multiplication, and division of rational numbers 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 Computation with Decimals 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 Computation with Fractions 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 Computation with Integers 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 Solve problems using non-routine strategies Solve problems using numerical reasoning Solve problems using appropriate strategies 4. Write an algebraic equation that represents a pattern shown in a table, graph, or chart Patterns, Relationships, & Algebra Translate problem situations into algebraic expressions and equations Identify equations of linear functions given tables of values, points, or graphs Solve problems involving patterns Data, Statistics, & Probability Read & interpret tables and graphs Patterns, Relationships, & Algebra Identify equations of linear functions given tables of values, points, or graphs Solve problems involving patterns Solve problems involving ratio and proportion 5. Write verbal phrases as algebraic expressions and algebraic expressions as verbal phrases Patterns, Relationships, & Algebra Translate problem situations into algebraic expressions and equations 6. Solve one- and two-step equations Patterns, Relationships, & Algebra Solve algebraic equations Identify graphs of inequalities 8. Recognize geometric relationships among two-dimensional shapes and three-dimensional figures Geometry and Measurement Solve problems using properties of geometric figures 9. Solve problems involving circumference and area of circles Geometry and Measurement Solve problems involving perimeter, circumference, area, or volume Identify appropriate units of measurement Identify a radius, diameter, or chord of a given circle 10. Calculate the perimeter of polygons and the area of triangles and trapezoids Geometry and Measurement Solve problems involving perimeter, circumference, area, or volume 11. Solve problems involving ratios or rates, using proportional reasoning Patterns, Relationships, & Algebra Solve problems involving ratio or proportion Geometry & Measurement Convert between units of measurement Data, Statistics, & Probability Determine and use measures of central tendency and dispersion Read and interpret tables and graphs Data, Statistics, & Probability Find the probability of a simple or compound event 12. Determine measures of central tendency and range using a given set of data or graphs, including histograms, frequency tables, and stem-and-leaf plots 13. Determine the probability of a compound event SAT-10 Content Cluster/Standards (that do NOT align with ARMT) Number Sense & Operations Identify alternative representations of real numbers Identify numbers expressed in scientific notation Round decimal numbers to a specified place value Compare and order real numbers Identify least common multiple or greatest common factor for a set of numbers Solve problems using estimation strategies Translate between visual representations, sentences, and symbolic notation Patterns, Relationships, & Algebra Determine domain or range values for linear functions Data, Statistics, & Probability Determine combinations & permutations Identify possible outcomes Geometry & Measurement Classify angles Determine measurements indirectly from scale drawings Identify parallel and perpendicular lines Solve problems using spatial reasoning 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: 7 basic understanding / 2 thinking skills Estimation: 9 thinking skills Mathematical Connections: 17 thinking skills Reasoning and Problem Solving: 13 thinking skills Mathematics Procedures Computation with Whole Numbers: 4 thinking skills Computation with Decimals: 3 basic understanding / 7 thinking skills Computation with Fractions: 8 basic understanding / 6 thinking skills Computation with Integers: 4 basic understanding Computation in Context: 16 thinking skills Computation with Symbolic Notation: 15 basic understanding / 1 thinking skills