Appendix - Content Standards
Georgia Performance Standards
Georgia has created new mathematics performance standards. Due to the new performance standards, by the end of grade 8, students will have completed the equivalent of traditional first-year algebra and much of the traditional geometry course. The standards listed below for Number and Operations, and Algebra is listed in its partial form as it relates to the curriculum unit.
Mathematics Grade 8
Number and Operations
Students will understand the numeric and geometric meaning of square root, apply
properties of integer exponents and use scientific notation.
M8N1. Students will understand different representations of numbers including
square roots, exponents, and scientific notation.
a. Find square roots of perfect squares.
h. Distinguish between rational and irrational numbers.
i. Simplify expressions containing integer exponents.
j. Express and use numbers in scientific notation.
k. Use appropriate technologies to solve problems involving square roots,
exponents, and scientific notation.
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.
a. Represent a given situation using algebraic expressions or equations in one
variable.
b. Simplify and evaluate algebraic expressions.
c. Solve algebraic equations in one variable, including equations involving absolute
values.
d. Interpret solutions in problem contexts.
Process Standards
The following process standards are essential to mastering each of the mathematics
content standards. They emphasize critical dimensions of the mathematical proficiency
that all students need.
M8P1. Students will solve problems (using appropriate technology).
a. Build new mathematical knowledge through problem solving.
b. Solve problems that arise in mathematics and in other contexts.
c. Apply and adapt a variety of appropriate strategies to solve problems.
d. Monitor and reflect on the process of mathematical problem solving.
M8P3. Students will communicate mathematically.
a. Organize and consolidate their mathematical thinking through communication.
b. Communicate their mathematical thinking coherently and clearly to peers,
teacher's, and others.
c. Analyze and evaluate the mathematical thinking and strategies of others.
d. Use the language of mathematics to express mathematical ideas precisely.
M8P4. Students will make connections among mathematical ideas and to other disciplines.
a. Recognize and use connections among mathematical ideas.
b. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
c. Recognize and apply mathematics in contexts outside of mathematics.
M8P5. Students will represent mathematics in multiple ways.
a. Create and use representations to organize, record, and communicate mathematical ideas.
b. Select, apply, and translate among mathematical representations to solve problems.
c. Use representations to model and interpret physical, social, and mathematical phenomena.
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