MMSD Mathematics Content Standard for Algebra - Grade 8
Introduction | Grade 6 | Grade 7 | Grade 8
Achievement of the following grade-level standards supports achievement of Wisconsin Model Academic Standards.
By the end of eighth grade, students will...
Demonstrate understanding of patterns, relations, and functions (WMAS F.8.2, F.8.3) by
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representing, generalizing, and analyzing a variety of patterns with tables, words, graphs, and symbolic rules;
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relating and comparing different forms of representation for a relationship;
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representing inequalities on a number line;
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analyzing change represented in tables, graphs, and equations;
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identifying functions as linear or nonlinear (including quadratic and exponential growth and decay) and contrasting their properties from tables, graphs, and equations.
Represent and analyze mathematical situations and structures using algebraic symbols (WMAS F.8.1, F.8.2) to
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develop a conceptual understanding of different uses of variables;
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develop appropriate symbolic representation skills, including the use of variables and exponents;
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evaluate expressions through numerical substitution;
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explore relationships between symbolic expressions and graphs, paying particular attention to the meaning of intercepts and slope;
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solve contextualized problems, especially those involving linear relationships.
Use mathematical models to represent and understand quantitative relationships (WMAS F.8.2, F.8.4)
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representing them with graphs, tables, equations, and algebraic expressions;
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writing them to represent problem situations and to express generalizations;
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describing a real-world phenomenon that a given graph represents.
Recognize and generate equivalent forms for simple algebraic expressions through (WMAS F.8.1, F.8.5) use of
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distributive property of multiplication over addition;
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commutativity and associativity of addition and multiplication;
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the order of operations.
Solve linear equations informally, graphically, and formally (WMAS F.8.1, F.8.4, F.8.5) through use of
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inverse and identity properties for addition and multiplication, transitive property, and additive and multiplicative properties of equations;
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a coordinate system;
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technology, especially graphing calculators, and methods without technology;
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student generated reasoning.
Introduction | Grade 6 | Grade 7 | Grade 8