Textbook Lessons

Component Content

1. Students will be able to connect arithmetic and algebraic principles.
A. Students will translate life problems from mathematical to algebraic expressions.
B. Students will use the sign rules for addition and multiplication of real numbers.
C. Students will use the order of operations for evaluating mathematical expressions.
D. Students will use the properties of arithmetic as they apply to algebra.
E. Students will translate from the concrete level of thinking to the abstract level.

2. Students will be able to simplify expressions using real numbers.
A. Students will identify terms, variables, and coefficients.
B. Students will do four operations with real numbers.
C. Students will combine like terms.
D. Students will express fractional coefficients in lowest terms.
E. Students will use and apply order of operations.
F. Students will use associative, commutative, distributive properties.

3. Students will be able to determine, solve, and graph linear equations with one or more variables.
A. Students will use basic operations to isolate variables.
B. Students will translate words into algebraic symbols and equations.
C. Students will graph linear equations by plotting points.
D. Students will recognize and use the slope-intercept form of a line for graphing.

4. Students will be able to understand and use polynomials.
A. Students will identify, add, and subtract types of polynomials and their parts.
B. Students will identify and factor a common monomial factor.
C. Students will multiply and divide polynomials.
D. Students will recognize special binomials (square binomial, perfect squares, difference of squares).
E. Students will use the zero product property and know how to relate to factors of polynomials.

5. Students will be able to solve and graph linear inequalities.
A. Students will use number line, symbolism ( , <, >, , ).
B. Students will evaluate equalities and inequalities.
C. Students will solve inequalities.
D. Students will graph a line in a coordinate plane.
E. Students will multiply and divide by negative numbers, reversing the direction of inequalities.

6. Students will be able to solve equations which contain rational expressions.
A. Students will identify a rational expression.
B. Students will apply operations to rational expressions.
C. Students will identify and solve linear equations.
D. Students will identify and solve equations by substitution, factoring, and graphing.
E. Students will translate life problems into math language.

7. Students will be able to solve quadratic equations by factoring.
A. Students will recognize quadratic equations.
B. Students will recognize and use the distributive property of multiplication.
C. Students will find the greatest monomial factor.
D. Students will factor through reverse FOIL.
E. Students will apply the zero product property.
F. Students will solve linear equations.

Logic Exercises

Component Content

1. Students will be able to work and complete simple logic puzzles:
A. Students will evaluate simple, preconstructed logic puzzles.
B. Students will, given a scenario, construct appropriate simple logic tables and solve for missing information.



Calculator Activities

Component Content

1. Students will be able to effectively perform basic numeric and operation key stroke activities:
A. Students will continue to use and manipulate the calculator's order of operations to solve problems.
B. Students will continue to utilize the calculator's memory input and output functions to store, retrieve, and use values in the problem solving process.
C. Students will continue to utilize additional selected special operation keys (variable storage locations, power functions) to enhance the problem solving process.
D. Students will continue to engage in explorative calculator activities (individual and group games) that promote calculator skills and numerical literacy.
E. Students will utilize the basic data storage, analysis, and graphing capabilities of the programmable graphing calculator.
F. Students will develop a basic knowledge of the programming language of the programmable graphing calculator.