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By the end of grade eight, students will
understand various numerical representations, including square roots, exponents
and scientific notation; use and apply geometric properties of plane figures,
including congruence and the Pythagorean theorem; use symbolic algebra to
represent situations and solve problems, especially those that involve linear
relationships; solve linear equations, systems of linear equations and
inequalities; use equations, tables and graphs to analyze and interpret linear
functions; use and understand set theory and simple counting techniques;
determine the theoretical probability of simple events; and make inferences from
statistical data, particularly data that can be modeled by linear functions. Instruction and assessment should include the
appropriate use of manipulatives and technology. Topics should be represented in
multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based,
graphical, and symbolic. Concepts should be introduced and used, where
appropriate, in the context of realistic phenomena. GEOMETRY
Students
will use and apply geometric properties of plane figures, including congruence
and the Pythagorean theorem. M8G1.
Students will understand and apply the properties of parallel and perpendicular
lines and understand the meaning of congruence. M8G2.
Students will understand and use the Pythagorean theorem.
ALGEBRA
Students
will use linear algebra to represent, analyze and solve problems. They will
use equations, tables, and graphs to investigate linear relations and
functions, paying particular attention to slope as a rate of change. M8A1.
Students will use algebra to represent, analyze, and solve problems. M8A2.
Students will understand and graph inequalities in one variable. M8A3.
Students will understand relations and linear functions. M8A4 LinearGraph
- Students will graph and analyze graphs of linear equations and inequalitites.
M8A5.
Students will understand systems of linear equations and inequalities and use
them to solve problems. DATA
ANALYSIS AND PROBABILITY Students
will use and understand set theory and simple counting techniques; determine
the theoretical probability of simple events; and make inferences from data,
particularly data that can be modeled by linear functions. M8D1.
Students will apply basic concepts of set theory. M8D2.
Students will determine the number of outcomes related to a given event. M8D3.
Students will use the basic laws of probability. M8D4.
Students will organize, interpret, and make inferences from statistical data M8P1.
Students will solve problems (using appropriate technology). M8P2.
Students will reason and evaluate mathematical arguments. M8P3.
Students will communicate mathematically. M8P4.
Students will make connections among mathematical ideas and to other disciplines.
M8P5.
Students will represent mathematics in multiple ways. |
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Copyright 2006-2007 Namita Jagtap, Kennesaw State University.
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