Mathematics Standards Grade 8
| A. MATHEMATICAL PROCESSES Content Standard: Students in Wisconsin will draw on a broad body of mathematical knowledge and apply a variety of mathematical skills and strategies, including reasoning, oral and written communication, and the use of appropriate technology, when solving mathematical, real-world* and nonroutine* problems. PERFORMANCE STANDARDS: By the end of grade 8 students will: A.8.1 Use reasoning abilities to
A.8.2 Communicate logical arguments clearly to show why a result makes sense A.8.3 Analyze nonroutine* problems by modeling*, illustrating, guessing, simplifying, generalizing, shifting to another point of view, etc. A.8.4 Develop effective oral and written presentations that include
A.8.5 Explain mathematical concepts, procedures, and ideas to others who may not be familiar with them A.8.6 Read and understand mathematical texts and other instructional materials and recognize mathematical ideas as they appear in other contexts
B. NUMBER OPERATIONS AND RELATIONSHIPS Content Standard Students in Wisconsin will use numbers effectively for various purposes, such as counting, measuring, estimating, and problem solving. PERFORMANCE STANDARDS: By the end of grade 8 students will: B.8.1 Read, represent, and interpret various rational numbers* (whole numbers*, integers*, decimals, fractions, and percents) with verbal descriptions, geometric models*, and mathematical notation (e.g., expanded*, scientific*, exponential*) B.8.2 Perform and explain operations on rational* numbers (add, subtract, multiply, divide, raise to a power, extract a root, take opposites and reciprocals, determine absolute value) B.8.3 Generate and explain equivalencies among fractions, decimals, and percents B.8.4 Express order relationships among rational numbers using appropriate symbols (>, <, ³ , £ , ¹ )B.8.5 Apply proportional thinking in a variety of problem situations that include, but are not limited to
B.8.6 Model* and solve problems involving number-theory concepts such as
B.8.7 In problem-solving situations, select and use appropriate computational procedures with rational numbers such as
Content Standard: Students in Wisconsin will be able to use geometric concepts, relationships and procedures to interpret, represent, and solve problems. Note: Familiar mathematical content dealing with measurement of geometric objects (e.g., length, area, volume) is presented in "D. Measurement." PERFORMANCE STANDARDS: By the end of grade 8 students will: C.8.1 Describe special and complex two- and three-dimensional figures (e.g., rhombus, polyhedron, cylinder) and their component parts (e.g., base, altitude, and slant height) by
C.8.2 Identify and use relationships among the component parts of special and complex two- and three-dimensional figures (e.g., parallel sides, congruent* faces) C.8.3 Identify three-dimensional shapes from two-dimensional perspectives and draw two-dimensional sketches of three-dimensional objects preserving their significant features C.8.4 Perform transformations* on two-dimensional figures and describe and analyze the effects of the transformations on the figures C.8.5 Locate objects using the rectangular coordinate system*
D. MEASUREMENT Content Standard: Students in Wisconsin will select and use appropriate tools (including technology) and techniques to measure things to a specified degree of accuracy. They will use measurements in problem-solving situations. PERFORMANCE STANDARDS: By the end of grade 8 students will: D.8.1 Identify and describe attributes* in situations where they are not directly* or easily measurable (e.g., distance, area of an irregular figure, likelihood of occurrence) D.8.2 Demonstrate understanding of basic measurement facts, principles, and techniques including the following
D.8.3 Determine measurement directly* using standard units (metric and US Customary) with these suggested degrees of accuracy
D.8.4 Determine measurements indirectly* using
E. STATISTICS AND PROBABILITY Content Standard: Students in Wisconsin will use data collection and analysis, statistics and probability in problem-solving situations, employing technology where appropriate. PERFORMANCE STANDARDS: By the end of grade 8 students will: E.8.1 Work with data in the context of real-world situations by
E.8.2 Organize and display data from statistical investigations using
E.8.3 Extract, interpret, and analyze information from organized and displayed data by using
E.8.4 Use the results of data analysis to
E.8.5 Compare several sets of data to generate, test, and, as the data dictate, confirm or deny hypotheses E.8.6 Evaluate presentations and statistical analyses from a variety of sources for
E.8.7 Determine the likelihood of occurrence of simple events by
F. ALGEBRAIC RELATIONSHIPS Content Standard: Students in Wisconsin will discover, describe, and generalize simple and complex patterns and relationships. In the context of real-world problem situations, the student will use algebraic techniques to define and describe the problem to determine and justify appropriate solutions. PERFORMANCE STANDARDS: By the end of grade 8 students will: F.8.1 Work with algebraic expressions in a variety of ways, including
F.8.2 Work with linear and nonlinear patterns* and relationships in a variety of ways, including
F.8.3 Recognize, describe, and analyze functional relationships* by generalizing a rule that characterizes the pattern of change among variables. These functional relationships include exponential growth and decay (e.g., cell division, depreciation) F.8.4 Use linear equations and inequalities in a variety of ways, including
F.8.5 Recognize and use generalized properties and relations, including
Standards prepared by Wisconsin Department of Public Instruction |
02/27/06
| River Valley High School | 660 Varsity Blvd. | Spring Green, WI 53588 | 608-588-2554 |