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Algebra 1 GLCE's

Quantitative Literacy and Logic

1. TLW explain properties of integer, rational, and real number systems performing and analyzing operations within each number system. (Instructional Sequence 1)

Algebra and Functions

2. TLW develop algebraic expressions that may contain exponents and roots and evaluate by substituting values for variables to justify relationships. (Instructional Sequence 2)
3. TLW add, subtract, multiply, and divide polynomials, and factor algebraic expressions (using greatest common factor, grouping, difference of squares and cubes, and factorable trinomials). (Instructional Sequence 3)
4. TLW write and solve equations and inequalities that contain one variable and solve, justify, and interpret absolute value relationships. (Instructional Sequence 4)
5. TLW read, interpret, and use function notation in symbolic, graphic, and tabular forms; recognize and describe patterns involving functions; solve equations for a designated variable; identify the zeros (roots) of a function; and recognize and describe behavior as x approaches positive or negative infinity. (Instructional Sequence 5)
6. TLW graph lines and find the equation of a line in slope-intercept, point-slope, and standard forms; use parallel or perpendicular characteristics to find an equation of the line; and apply transformations to linear graphs. (Instructional Sequence 6)
7. TLW write and solve equations with two and three variables using graphing (two variable), linear combinations and substitution methods, and write and solve inequalities with two variables. (Instructional Sequence 7)
8. TLW use the matrix operations of addition, subtraction, multiplication, and scalar multiplication to evaluate matrix expressions, perform geometric transformations, and solve real-life situations. (Instructional Sequence 8)
9. TLW write the equation for and graph a parabola, identify its key elements and zeros, perform transformations, identify where a function is positive or negative, and describe the behavior of a function as x approaches positive or negative infinity. (Instructional Sequence 10)
10. TLW express quadratic functions in vertex, factored, and standard form, convert standard form to vertex form by completing the square, and solve quadratic equations using the quadratic formula. (Instructional Sequence 11)
11. TLW express directly and inversely proportional relationships as functions, identify and interpret the key features, apply transformations, and describe patterns. (Instructional Sequence 12)
12. TLW write, solve, graph, identify inverses, and analyze power, exponential, and radical functions; determine whether a function increases or decreases, describe the behavior of a function as x approaches positive or negative infinity, and apply in real-world situations. (Instructional Sequence 13)
13. TLW write, solve, graph, and analyze polynomial functions, determine whether a function increases or decreases, describe its behavior as x approaches positive or negative infinity, determine the relationship between x-intercepts and factored form, and apply transformations. (Instructional Sequence 14)
14. TLW identify a function as a member of a family of functions based on symbolic or graphical representation, recognizing that different families of functions have different behaviors at infinity, and model real-world situations appropriately to draw reasonable conclusions. (Instructional Sequence 15)

Geometry and Trigonometry

Statistics and Probability

15. Given a context, TLW create a scatterplot, identify correlations, distinguish correlation from causation, and visually find the least squares regression line to make predictions. (Instructional Sequence 9)

Subpages (1): Algebra 1 Terms