Pre-Algebra
Course Goals:
- Students will investigate problem-solving strategies, how to use them, including critical thinking skills. (2.2,2.3)*
- Students will understand and use real number systems: natural, whole, integer, rational. (7.6aaa)
- Students will represent numbers in decimal or fraction form and in scientific notation, and graph numbers in the coordinate plane. (7.6bbb)
- Students will understand and use opposite, reciprocal, absolute value, raising to a power, and taking a root. (7.6ff)
- Students will dimensionless numbers (e.g., factors, proportions, and percents) and numbers with specific units of measure, including length, time, and rate units. (7.6gg)
- Students will compare numbers using order relations, differences, ratios, proportions, percents, and proportional change. (7.6hh)
- Students will understand the interrelationship of the four binary arithmetic operations, and using the properties of these operations in forming and working with algebraic expressions. (7.6i)
- Students will use quotient measures (e.g., slope and per unit amounts) and product measures (e.g., person-days). (7.7ddd).
- Students will know, use and derive formulas for area and volume of many kinds of figures. (7.7eee)
- Students will carry out unit conversions. (7.7ff)
- Students will use functions to represent patterns. (7.8aaa)
- Students will represent functional relationships in formulas, tables, and graphs especially linear functions. (7.8bbb)
- Students will define and use variables, parameters, constants, and unknowns in work with both functions and equations; solve equations both symbolically and graphically, especially linear equations. (7.8ccc)
- Students will understand the basic algebraic structure of number systems (7.8ddd)
- Students will understand rate relationships in constant rate situations. (7.8e)
- Students will produce solutions to mathematical problems requiring decisions about approach and presentation, so that final drafts are appropriate in terms of approach and reasoning, execution, observations and extensions, mathematical communication, and presentation. (2.5)
- Students will use technology as appropriate with all the above skills to represent information (1.18), to organize systems (1.19), to communicate data accurately (1.20), and to develop models (1.22).
*Number refers To Vermont State Standard
Evaluation:
Tests - 30%
Homework - 20%
Quiz and class - 25%
Notebook - 10%
Portfolio/Project – 5%
Class – 10%
The mid-term or final exam will count 20% of that respective semester’s grade.
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