Iowa K-12 Core Content Standards and Benchmarks Corresponding to the Iowa Tests: Math Content Standards	NAEP Grade 12 Mathematics Format: Contains both selected response and constructed response items (NAGB, not dated)		ITED Level 17/18 Mathematics: Concepts and Problem Solving (40 questions) Format: Contains selected response items only (ITP, 2003)		ICAM: Eleventh-Grade Mathematics includes 7 modules: Problem-Solving Strategies and Process; Number Concepts and Operations; Measurement; Geometry; Data Interpretation, Statistics, and Probability; Patterns, Functions, and Algebra; Solving Work-Related Math Problems Format: Contains both selected response and constructed response items (ICM, 2003)		ITED Constructed Response Supplement: Thinking about Mathematics, Level 17/18 Format: Contains constructed response items only (ITP, not dated)
A. Students can understand and apply a variety of math concepts.	Number Sense, Properties, and Operations	20%-50%	Numbers and Operations on Numbers	19 questions	Number Concepts and Operations	20 points	Concepts and Procedures	4 points
	Relate counting, grouping, and place value -Use place value to model and describe whole numbers and decimals -Use scientific notation in meaningful contexts		Understanding mathematical concepts and procedures: select appropriate procedures; identify examples and counterexamples of concepts (7 questions)		Understands number concepts associated with the real number system (Number Concepts and Operations, 1 point)
	Represent numbers and operations in a variety of equivalent forms using models, diagrams, and symbols -Use two- and three-dimensional region models to describe numbers -Use other models as appropriate -Read write, rename, order, and compare numbers				Understands the characteristics, properties, and uses of roots, exponents, and scientific notation and the relationships among them and their equivalent representations (3 points)
	Compute with numbers (that is, add, subtract, multiply, divide) -Apply basic properties of operations -Describe effect of operations on size and order of numbers -Describe features of algorithms -Select appropriate computation method				Understands the properties of operations with real numbers and the correct order of operations for performing arithmetic computations (Number Concepts and Operations, 1 point)
A1. Understand and apply number properties and operations. B. Students can understand and apply methods of estimations. B1. Students can understand and apply concepts and procedures of standard rounding, order of magnitude, and number sense. C. Students can solve a variety of math problems. C1. Students can solve math problems requiring multiple steps and operations. C2. Students can reason quantitatively.	Use computation and estimation in applications -Round whole numbers, decimals, and fractions in meaningful contexts -Make estimates appropriate to a given situation -Select appropriate method of estimation -Solve application problems involving numbers and operations using exact answers or estimates as appropriate -Interpret round-off errors using calculators/computers -Verify solutions and determine the reasonableness of results		Computation involving integers (9 questions) Computation involving decimals and percents (8 questions) Computation involving fractions (5 questions) Problem Solving: Reason quantitatively, evaluate reasonableness of solutions (19 questions)		Solves problems using number concepts (10 points) Problem-Solving Strategies and Process Understands the relationship between the language of mathematics and real-word situations (Problem-Solving Strategies and Process, 3 points) Uses strategies to understand and solve problems (Problem-Solving Strategies and Process, 7 points) Identifies relevant, irrelevant, and missing information needed to solve the problems (Problem-Solving Strategies and Process, 2 points) Understands the process of mathematical justification and constructs logical verifications or counterexamples to test conjectures (Problem-Solving Strategies and Process, 8 points) Solving Work-Related Math Problems Solves work-related mathematics problems using a variety of mathematical concepts and computations (Solving Work-Related Math Problems (20 points)	20 points 20 points	Solving Problems	10 points
	Apply ratios and proportional thinking in a variety of situation -Use ratios to describe situations -Use proportions to model problems -Use proportional thinking to solve problems -Understand the meaning of percentage -Solve problems involving percentages				Understands the concepts of fraction, ratio, proportion, and percent, the relationships among them, and their equivalent representations (Number Concepts and Operations, 5 points)
	Use elementary number theory -Describe odd and even numbers and their characteristics -Describe number patterns -Use factors and multiples to model and solve problems -Describe prime numbers -Use divisibility and remainders in problem settings (including simple modular arithmetic)
A3. Students can understand and apply concepts of geometry and measurement.	Measurement	15%			Measurement	18 points
	Estimate the size of an object with respect to a given measurement attribute (e.g., length or perimeter).
	Select and use appropriate measurement instruments such as ruler, meter stick, clock, thermometer, or other scaled instruments.
	Select and use appropriate units of measurement according type and size of unit
	Estimate, calculate or compare perimeter, area, volume, and surface area in meaningful contexts to solve mathematical and real-world problems -Solve problems involving perimeter and area -Solve problems involving volume and surface area				Solves problems involving perimeter, circumference, area, volume, and surface area of geometric shapes (Measurement, 5 points) Estimates quantities and measurements (Measurement, 1 point)
	Apply given measurement formulas for perimeter, area, volume, and surface area in problem settings
	Convert from one measurement to another within the same system
	Determine precision, accuracy, and error -Apply significant digits in meaningful contexts -Determine appropriate size of unit of measurement in problem situation -Apply concepts of accuracy of measurement in problem situations -Apply absolute and relative error in problem situations
	Make and read scale drawings
	Select appropriate methods of measurement (such as direct or indirect)				Selects and uses and appropriate direct or indirect method of measurement in a given situation (Measurement, 6 points)
	Apply the concept of rate to measurement situations				Solves problems involving rate as a measure (Measurement, 6 points)
A3. Students can understand and apply concepts of geometry and measurement.	Geometry	20%	Geometry/Measurement	7 questions	Geometry	20 points
	Describe, visualize, draw, and construct geometric figures -Draw or sketch a figure given a verbal description (open-ended items) -Given a figure, write a verbal description of its geometric qualities				Understands the properties of lines, angles, planes, and two- and three-dimensional figures and knows geometric language for describing and naming them (Geometry, 2-3 points)
	Investigate and predict results of combining, subdividing, and changing shapes
	Identify the relationship (congruence, similarity) between a figure and its image under a transformation -Use motion geometry -Use transformations
	Describe the intersection of two or more geometric figures -two dimensional -Planar cross-section of a solid
	Classify figures in terms of congruence and similarity, and informally apply these relationships using proportional reasoning where appropriate
	Apply geometric properties and relationship in solving problems -Use the Pythagorean relationship to solve problems -Apply properties of ratio and proportion with respect to similarity -Solve problems involving right triangle trigonometric applications				Uses the Pythagorean Theorem and its converse and properties of special right triangles to solve problems (Geometry, 6-7 points)
	Establish and explain relationships involving geometric concepts -Make conjectures -Validate and justify conclusions and generalizations -Use informal induction and deduction				Uses graphic representations to solve geometric problems involving the symmetry and transformations of figures or problems involving distance, midpoint, and slope (Geometry, 5 points)
	Represent problem situations with geometric models and apply properties of figures in meaningful contexts to solve mathematical and real-world problems				Solves problems using properties of and relationships among geometric figures (Geometry, 6 points)
	Represent geometric figures and properties algebraically using coordinates and vectors -Use properties of lines to describe figures algebraically -Algebraically describe conic sections and their properties -Use vectors in problem situations
A4. Students can understand and apply concepts in probability and statistics.	Data Analysis, Statistics, and Probability	20%	Data Analysis, Probability, and Statistics	10 questions	Data Interpretation, Statistics, and Probability	19 points	Interpreting Information	5 points
D. Students can interpret data presented in a variety of ways. D1. Students can make inferences based on data presented in a variety of ways.<