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WASL Grade 7 Benchmarks, Item Specifications and Grade Level Expectations
Matched to state on-line documents as of August 2005 This web document was compiled to enable matching state requirements with available curriculum materials. |
| 1. The student understands and applies the concepts and procedures of mathematics. | ||||||||||||||||||||||||||||||||||||||
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Content Strand 1: Number Sense
1.1. Understand and apply concepts and procedures from number sense—number and numeration, computation, and estimation. |
Content Strand 2: Measurement
1.2. Understand and apply concepts and procedures from measurement—attributes and dimensions, approximation and precision, and systems and tools. |
Content Strand 3: Geometric Sense
1.3. Understand and apply concepts and procedures from geometric sense—properties and relationships and locations and transformations |
Content Strand 4: Probability and Statistics
1.4. Understand and apply concepts and procedures from probability and statistics— probability, statistics, and prediction and inference. |
Content Strand 5: Algebraic Sense
1.5. Understand and apply concepts and procedures from algebraic sense—patterns, representations, and operations. |
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| Number and numeration | Computation | Estimation | Attributes and Dimensions | Approximation and Precision | System and Tools | Properties and Relationships | Locations and Transformations | Probability | Prediction and Inference | Patterns | Representations | Operations | ||||||||||||||||||||||||||
| 1.1.1 Understand the concept of rational numbers (integers, decimals, fractions). | 1.1.2 Understand the relative values of rational numbers. | 1.1.3 Apply properties of addition and multiplication including inverse properties to the rational number system. | 1.1.4 Understand the concept of direct proportion. | 1.1.5 Understand the meaning of addition and subtraction on integers. | 1.1.6 Apply computational procedures with fluency for multiplication and division on non-negative rational numbers. . | 1.1.7 Understand and apply strategies and tools to complete tasks involving addition and subtraction on integers and the four basic operations on non-negative rational numbers. | 1.1.8 Apply estimation strategies to predict or determine the reasonableness of answers in situations involving addition and subtraction of integers and the four basic operations on non-negative rational numbers. | 1.1.9 | 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. | 1.2.2 | 1.2.3 Understand how the unit of measure affects the precision of measurement. | 1.2.4 | 1.2.5 Apply formulas to find measurements of circles, triangles, and rectangular prisms. | 1.2.6 Understand and apply strategies to obtain reasonable estimates of circle measurements, right triangles, and surface area for rectangular prisms. | 1.2.7 | 1.2.8 | 1.3.1 Understand the concept of similarity. | 1.3.2 Apply understanding of the characteristics of rectangular prisms and circles. | 1.3.3 Understand the location of points on a coordinate grid in any of the four quadrants. | 1.3.4 Understand and apply combinations of translations (slides) and reflections (flips) to two-dimensional figures. | 1.3.5 | 1.3.6 | 1.3.7 | 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events | 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials. | 1.4.3 Apply data collection processes to inform, persuade, or answer questions. | 1.4.4 Understand how variations in data may affect the choice of data analysis techniques used. | 1.4.5 Understand and apply various data display techniques including box-and-whisker plots. | 1.4.6 Evaluate how different representations of the same set of data can support different points of view. | 1.4.7 | 1.4.8 | 1.4.9 | 1.5.1 Apply understanding of linear relationships to analyze patterns, sequences, and situations. | 1.5.2 Apply understanding of linear patterns in a table, graph, or situation to develop a rule. | 1.5.3 Understand relationships between quantities using squares and square roots. | 1.5.4 Apply understanding of equations, tables, and graphs to represent situations involving linear relationships | 1.5.5 Understand and apply procedures to evaluate expressions and formulas considering order of operations. | 1.5.6 Understand and apply a variety of strategies to solve two-step equations with one variable. |
| No GLEs | No GLEs | NoGLEs | No GLEs | |||||||||||||||||||||||||||||||||||
| NS01 (Number and Numeration) Demonstrate understanding of the concepts and symbolic representations of rational numbers including integers; demonstrate understanding of the relative values of rational numbers including integers; use properties of addition and multiplication with non-negative rational numbers; demonstrate understanding of the additive inverse property with integers (1.1.1, 1.1.2, 1.1.3) Item Specifications | NS02 (Ratio and Proportion) Demonstrate understanding of the concepts of ratio, percent, and direct proportion (1.1.4) Item Specifications | NS03 (Conceptual Understanding of Operations) Demonstrate understanding of the meaning of multiplication and division of non-negative decimals and fractions and addition and subtraction of integers (1.1.5) Item Specifications | NS04 (Computation) Add, subtract, multiply, and divide non-negative decimals and fractions using order of operations (1.1.6) Item Specifications | NS05 (Estimation) Identify when an approximation is appropriate; use estimation to determine the reasonableness of answers in situations involving addition, subtraction, multiplication, and division of non-negative decimals and fractions (1.1.8) Item Specifications | ME01 (Attributes and Dimensions) Demonstrate understanding of how a change in one linear dimension affects other linear and area measurements of rectangles, triangles, and circles; demonstrate understanding of the concepts of volume and surface area of rectangular prisms (1.2.1) Item Specifications | ME02 (Units and Systems) Explain how selection of a unit affects the precision of a measurement in a given situation; demonstrate understanding of the difference between square and cubic units (1.2.2, 1.2.3) Item Specifications | ME03 (Procedures): Use systematic procedures to measure, describe, and compare angle measurements or the volumes of rectangular prisms - identify the attribute to be measured, select and use appropriate unit of measurement, select and use a tool that matches the unit chosen, compare attribute to units on tool or count to determine the number of units; use formulas to determine missing measurements for circles, triangles, and rectangular prisms (1.2.4, 1.2.5) Item Specifications | ME04 (Estimated Measurements) Identify situations in which estimated measurements are sufficient; estimate measurements of circles and right triangles, and volume and surface area of rectangular prisms (1.2.6) Item Specifications | GS01 (Properties and Relationships) Demonstrate understanding of the concept of similarity and the characteristics of circles and rectangular prisms; use the characteristics of angles, polygons, circles, and rectangular prisms to draw, describe, and compare objects and figures (1.3.1, 1.3.2) Item Specifications | GS02 (Locations and Transformations) Describe locations of points on a coordinate grid in any of the four quadrants; rotate a simple 2-dimensional figure 90° or 180° about the center or a vertex of a figure; use combinations of translations and/or reflections to draw simple congruent figures (1.3.3, 1.3.4) Item Specifications | PS01 (Probability) Demonstrate understanding of the concepts of complementary and mutually exclusive events; demonstrate understanding that probability is a ratio between and including 0 and 1; determine all possible outcomes and/or probabilities for simple experiments and situations including complementary and mutually exclusive events (1.4.1, 1.4.2) Item Specifications | PS02 (Data Collection and Central Tendencies) Describe how a question, collection method, and/or population may affect the data collected; determine and use range and measures of central tendency to describe or interpret a set of data (1.4.3, 1.4.4) Item Specifications | PS03 (Data Representation and Interpretation) Read and interpret data represented in histograms, single line graphs, stem-and-leaf plots, scatter plots, and box-and-whisker plots and determine when using these graphs is appropriate; demonstrate understanding of how different representations of the same set of data can support different points of view (1.4.5, 1.4.6) Item Specifications | AS01 (Patterns and Functions) Recognize, extend, or represent linear patterns and sequences using tables; recognize or extend patterns and sequences that use two different arithmetic operations to move, alternating, from one term to the next; describe a rule and/or construct a table to represent a pattern with combinations of two arithmetic operations in the rule (1.5.1, 1.5.2) Item Specifications | AS02 (Symbols and Notations) Express relationships between quantities using =, ?, <, >, <=, >= ; use variables to write expressions, linear equations and inequalities that represent situations involving non-negative rational numbers (1.5.3, 1.5.4) Item Specifications | AS03 (Evaluating and Solving) Evaluate expressions and formulas considering order of operations; solve one- and two-step equations with one variable (1.5.5, 1.5.6) Item Specifications | ||||||||||||||||||||||
| 2. The student uses mathematics to define and solve problems. | |||||||||
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Process Strand 6: Solves Problems and Reasons Logically
2.1. Investigate situations by searching for patterns and using a variety of approaches. |
Process Strand 6: Solves Problems and Reasons Logically
2.2. Formulate questions and define the problem. |
Process Strand 6: Solves Problems and Reasons Logically
2.3. Construct solutions by organizing the necessary information and using appropriate mathematical tools. |
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| 2.1.1 Analyze a situation to define a problem. | 2.1.2 | 2.1.3 | 2.1.4 | 2.2.1 Apply strategies, concepts, and procedures to devise a plan to solve the problem. | 2.2.2 Apply mathematical tools to solve the problem. | 2.2.3 | 2.3.1 | 2.3.2 | 2.3.3 |
| No GLEs | No GLEs | No GLEs | |||||||
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SR01 (Define Problems) Identify questions to be answered in new situations; recognize when information is missing or extraneous; identify what is known and unknown in new situations (2.1.1, 2.1.2, 2.1.3) Item Specifications |
SR02 (Construct Solutions)
Select and organize relevant information; use appropriate concepts and
procedures from number sense, measurement, geometric sense, probability and
statistics, and algebraic sense; use a variety of strategies and approaches;
determine whether a solution is viable, mathematically correct, and answers the
question(s) asked (2.2.1, 2.2.2, 2.2.3, 2.2.4
?
)
Item Specifications
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| 3. The student uses mathematical reasoning. | ||||||||
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Process Strand 6: Solves Problems and Reasons Logically
3.1. Analyze information from a variety of sources; use models, known facts, patterns and relationships to validate thinking. |
Process Strand 6: Solves Problems and Reasons Logically
3.2. Predict results and make conjectures based on analysis of problem situations. |
Process Strand 6: Solves Problems and Reasons Logically
3.3. Draw conclusions and verify results—support mathematical arguments, justify results, and check for reasonableness of solutions. |
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| 3.1.1 Analyze information from a variety of sources to interpret and compare information. | 3.1.2 | 3.2.1 Apply prediction and inference skills to make or evaluate conjectures. | 3.2.2 Apply the skill of drawing conclusions and support those conclusions using evidence. | 3.2.3 Analyze procedures and results in various situations. | 3.3.1 Analyze procedures and information used to justify results using evidence. | 3.3.2 Analyze thinking and mathematical ideas using models, known facts, patterns, relationships, or counter examples. | 3.3.3 | 3.3.4 |
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No GLEs
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No GLEs | |||||||
| SR03 (Analyze Information) Interpret and compare numerical, measurement, geometric, probability and statistical, and/or algebraic information from a variety of sources (3.1.1) Item pecifications | SR04 (Conclude) Draw conclusions and support them using evidence; evaluate procedures and results in various situations (3.2.1, 3.2.2) Item Specifications | SR05 (Construct Solutions and Verify Results) Use a variety of strategies and appropriate concepts and procedures from number sense, measurement, geometric sense, probability and statistics, and algebraic sense to construct a solution; justify results using evidence; check for reasonableness of results; validate thinking and mathematical ideas using models, known facts, patterns, relationships, and/or counterexamples (2.2.2, 2.2.3, 3.3.1, 3.3.2, 3.3.3) Item Specifications | ||||||
| 4. The student communicates knowledge and understanding in both everyday and mathematical language. | |||||||
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Strand 7: Communicates Understanding
4.1. Gather information—read, listen, and observe to access and extract mathematical information. |
Strand 7: Communicates Understanding
4.2. Organize and interpret information |
Strand 7: Communicates Understanding
4.3. Represent and share information—express and explain mathematical ideas using language and notation in ways appropriate for audience and purposes. |
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| 4.1.1 Apply a planning process to collect information for a given purpose. | 4.1.2 Understand how to extract information from multiple sources using reading, listening, and observation. | 4.1.3 | 4.2.1 Apply organizational skills for a given purpose. | 4.2.2 Apply communication skills to clearly and effectively express or present ideas and situations using mathematical language or notation. | 4.2.3 | 4.3.1 | 4.3.2 |
| No GLE | No GLE | No GLE | |||||
| CU01 (Gathering Information) Develop a plan for collecting numerical, measurement, geometric, probability and statistical, and/or algebraic information for a given purpose; extract numerical, measurement, geometric, probability and statistical, and/or algebraic information from multiple sources using reading and/or observation (4.1.1, 4.1.2) Item Specifications | CU02 (Organize, Represent, and Share Information) Organize numerical, measurement, geometric, probability and statistical, and/or algebraic information for a given purpose; use everyday and mathematical language to clearly and effectively express or present ideas and information involving number sense, measurement, geometric sense, probability and statistics, and/or algebraic sense; explain and/or represent mathematical ideas and information in ways appropriate for audience and purpose in a context that is relevant to seventh grade students and involves number sense, measurement, geometric sense, probability and statistics, and/or algebraic sense (4.2.1, 4.2.2, 4.2.3) Item Specifications | ||||||
| 5. The student understands how mathematical ideas connect within mathematics, other subject areas, and real-life situations. | ||||||
| 5.1. Relate concepts and procedures within mathematics—use conceptual and procedural understandings among content strands and use equivalent models and representations. | 5.2. Relate mathematical concepts and procedures to other disciplines—identify and use mathematical patterns, thinking, and modeling in other subject areas. | 5.3. Relate mathematical concepts and procedures to real-life situations—understand the connections between mathematics and problem-solving skills used every day at work and at home. | ||||
| 5.1.1 Apply concepts and procedures from a variety of mathematical areas in a given problem or situation. | 5.1.2 Apply different mathematical models and representations to the same situation. | 5.2.1 Analyze mathematical patterns and ideas to extend mathematical thinking and modeling to other disciplines. | 5.2.2 Know the contributions of individuals and cultures to the development of mathematics. | 5.2.3 | 5.3.1 Understand that mathematics is used in daily life and extensively outside the classroom. | 5.3.2 Understand that mathematics is used within many occupations or careers. |
| No GLE | ||||||
| MC01 (Connect within Mathematics) Use concepts and procedures from two or more of the mathematics content strands in a given problem or situation; relate and use different mathematical models and representations of the same situation (5.1.1, 5.1.2) Item Specifications | ||||||