Algebra 2
Fall Semester | ||||
Unit Title | Unit 1: Systems of Linear Equations and Inequalities | Unit 2: Absolute Value Functions | Unit 3: Quadratic Functions | Unit 4: Quadratic Equations, Inequalities, and Complex Numbers |
Time | ~4 weeks | ~4 weeks | ~4 weeks | ~5 weeks |
Understandings | Accurate use of algebraic manipulation preserves equivalence while allowing the solution(s) of an equation or inequality to be determined.
solutions to a system of three linear equations represented graphically are all the point(s) of intersection for the combined graphs. This can include: ▪ an intersection point represented by an ordered triple (x, y, z) ▪ Infinite solutions (intersection is a line or all three planes coincide) ▪ no solution (parallel planes or only two planes intersecting)
| Absolute Value functions have key attributes that can be used to analyze, describe, write, graph, and solve functions related to real-world problems.
solutions to absolute value equations are the set of all values that make that equation true.
Absolute value equations can have two solutions, no solution, or only one solution.
Solutions can be extraneous and do not satisfy the original equation.
| Quadratic functions have key attributes that can be used to analyze, describe, write, graph, and solve functions related to real-world problems.
Quadratic equations can be written from their data values to represent real-world situations.
Quadratic functions can be models for real-world data, and can be used in determining solutions and making predictions.
| Quadratic solutions extend beyond the real number system and are used to represent real-world applications.
Systems of equations are algebraic representations for two or more events.
Quadratic equations can have one, two or complex solutions. Solutions should be verified by checking them in the original equation.
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TEKS | 2A.3 A, B, E, F, G | 2A.2 A 2A.6 C, D, E, F 2A. 7 I | 2A.4 A, B, E 2A.8 A, B, C
| 2A.3 A, C, D 2A.4 D, F, H 2A.7 A |
Process Standards | 2A.1 A, B, C, D, E, F, G | |||
Algebra 2
Spring Semester | ||||
Unit Title | Unit 5: Polynomial Functions | Unit 6: Rational Functions | Unit 7: Rational Exponents and Radical Functions | Unit 8: Exponential and Logarithmic Functions |
Time | ~5 weeks | ~4 weeks | ~4 weeks | ~5 weeks |
Understandings | Polynomial functions have key attributes that can be used to analyze, describe, write, graph, and solve functions related to real-world problems.
Polynomial graphs have varying increasing and decreasing intervals.
Polynomial functions are products of other functions of varying degrees. Polynomial expressions of degree three and four can be factored using a variety of methods.
| Polynomial functions have key attributes that can be used to analyze, describe, write, graph, and solve functions related to real-world problems.
Working with inverse variation involves determining the constant k, then using the value to relate other pairs of x and y values.
Algebraic manipulation is used when adding, subtracting, multiplying, and dividing rational expressions.
| Radical functions have key attributes that can be used to analyze, describe, write, graph, and solve functions related to real-world problems.
Changes made to the algebraic representation of the square root parent function result in a transformation of the graph and vice versa.
Roots and powers are inverses of each other. When solving equations with rational exponents can be rewritten with powers and roots.
| Exponential and Logarithmic functions have key attributes that can be used to analyze, describe, write, graph, and solve functions related to real-world problems.
generating a visual representation (scatterplot) of the data may be helpful in identifying the most appropriate model based on the shape.
exponential functions can be used to model data sets with a growth/decay pattern.
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TEKS | 2A.2 A 2A.6 A 2A.7 A, B, C | 2A.2 A 2A.6 C, H, I, J, K, L 2A.7 F, I | 2A.2 A, B, C, D, 2A.4 C, E, F, G 2A.6 A, B, 2A.7 B, G, H, I | 2A.2 A, B, C 2A.5 A, B, C, D, E 2A.7 I 2A.8 A, B, C |
Process Standards | 2A.1 A, B, C, D, E, F, G | |||