Honors Algebra 2 Learning Targets. Unit 1 - Equations and Inequalities Learning Target

Transcription

1 Honors Algebra 2 s I can Unit 1 - Equations and Inequalities 1. Describe the subsets of the real numbers and show how they are related to one another. 2. Use the properties of real numbers to justify the truth of algebraic statements A.1.a 3. Evaluate and simplify expressions Write and solve linear equations. 1.3,5 A.1.d 5. Rewrite and evaluate formulas and equations Write, solve, and graph linear inequalities. 1.6 A.1.d D.1.b 7. Write, solve, and graph absolute value equations and inequalities. 1.7 D.1.a Unit 2 Linear Equations and Functions 1. Represent relations as ordered pairs, tables, graphs, and mappings, and identify their domains and ranges. 2. Use the definition of a function to justify whether a relation is a function, and apply the Vertical Line Test. 3. Write and evaluate functions using function notation. 4. Graph and classify discrete and continuous functions ext 5. Calculate the slopes of lines and determine 2.2

2 whether two lines are parallel, perpendicular, or neither. 6. Explain the difference between constant and variable rates of change. 7. Graph linear equations in slope-intercept form and standard form A.1.g 8. Write equations of lines in slope-intercept form, 2.4 A.1.f point-slope form, and standard form. 9. Use transformations to write and graph absolute 2.7 E.2.b value functions and describe their properties. 10. Write and graph linear inequalities in two variables Explain the concept of a correlation coefficient and use it to describe sets of data. 12. Approximate a line of best fit by hand and by using linear regression on the graphing calculator Unit 3 Linear Systems 13. Solve linear systems in two variables by graphing, substitution, and elimination. 3.1,2 A.1.e 14. Solve systems of linear inequalities by graphing. 3.3 D.1.c 15. Solve systems of linear equations in three variables. 3.4 D.2.a Unit 4 - Matrices 1. Perform basic matrix operations including addition, subtraction, and scalar multiplication, and solve basic matrix equations. 3.5 I.1.a I.1.b I.1.f 2. Multiply matrices. 3.6 I.1.a I.1.b I.1.f 3. Evaluate determinants and find the area of a triangle on the coordinate plane. 3.7 I.1.c I.1.f

3 4. Solve systems of linear equations using inverse matrices. 3.8 I.1.d I.1.e 1.1.f Unit 5 Exponents and Factoring 1. Classify polynomial functions and identify their key properties, including leading coefficient, degree, and constant Add, subtract, and multiply polynomials. 5.3 A.1.b F.1.a 3. Simplify expressions using the properties of 5.1 exponents and scientific notation. 4. Factor polynomials completely. 4.3, 4.4, 5.4 A.1.c F.1.b Unit 6 Quadratics Part 1 1. Graph quadratic functions in standard, vertex, or intercept form and identify their key characteristics (vertex, axis of symmetry, intercepts). 4.1, 2 2. Convert quadratic equations to standard form Solve quadratic equations by factoring. 4.3,4 E.1.a 4. Simplify square roots by applying the square root properties and by rationalizing the denominator. 5. Solve quadratic equations using the square root method. 4.5 G.1.e 4.5 E.1.a

4 Unit 7 Quadratics Part 2 1. Define and provide examples of imaginary and 4.6 C.1.a complex numbers. 2. Perform operations and graph with complex numbers (add, subtract, multiply, divide, plot points, absolute value). 4.6 C.1.b C.1.c 3. Solve quadratic equations with complex solutions. 4.6 E.1.c 4. Solve quadratic equations by completing the square. 5. Convert quadratic equations from standard form to vertex form. 6. Solve quadratic equations using the quadratic formula. 7. Calculate the discriminant and use it to determine the type and number of solutions to a quadratics equation. 8. Identify the pros and cons of each of the five methods of solving quadratics equations, choosing the most efficient method in each situation. 9. Graph inequalities and systems of inequalities on the coordinate plane. 10. Solve quadratic inequalities algebraically and graphically. 11. Write quadratics functions, given identifying characteristics. 12. Use quadratic regression to find best-fitting models and make predictions from data. 4.7 E.1.a E.1.a 4.8 E.1.b E.1.c 4.9 E.1.d

5 Unit 8 Polynomials Part 1 1. Evaluate polynomial functions using direct substitution and synthetic substitution. 2. Describe the end behavior, degree, and leading coefficient of polynomial functions. 5.2 F.1.a Sketch graphs of polynomial functions. 5.2 F.2.d 4. Divide polynomials using long division. 5.5 F.1.b 5. Divide polynomials using synthetic substitution. 5.5 F.1.b 6. Solve polynomial equations by factoring completely using factoring techniques, long division, and/or synthetic division. 5.4,5 F.2.b Unit 9 Polynomials Part 2 1. Solve polynomial equations for all zeros using the following to help you: a. Rational Zero Theorem b. Location Principle c. Fundamental Theorem of Algebra d. Conjugates Theorem e. Descartes Rule of Signs f. Synthetic division, long division, methods of solving quadratic equations g. Graphing calculator 2. Sketch graphs of polynomial functions using the following to help you: a. Zeros, factors, solutions, and intercepts b. Turning points, local maxima and minima c. Degree d. Repeated zeros, multiplicity e. End behavior 3. Model higher-degree polynomial functions using properties of finite differences and regression. 5.6,7 F.2.a F.2.b 5.8 F.2.c 5.9

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