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Standards for Algebra 2 Semester 1

Function Basics and Properties

1. I can graph linear functions in slope-intercept and standard form.

2. I can describe the domain and range of functions using inequalities or interval notation.

3. I can write equations of lines from given information or from a graph. Including horizontal and

vertical lines.

4. Given a graph, mapping, or chart, I can determine whether a relation is a function or not.

5. I can add, subtract, multiply, divide, and compose two or more functions.

6. I can graph absolute value functions.

7. I can write the equation of an absolute value function given information or a graph.

Quadratics

8. I can graph a quadratic function of the form f(x) = a(x-h)2 + k

9. I can write the equation of a quadratic function given information or a graph.

10. I can factor a quadratic with leading coefficient of 1.

11. I can factor a quadratic with leading coefficient other than 1.

12. I can solve a quadratic equation by factoring when possible.

13. I can use the quadratic formula to solve quadratic equations.

14. I can find imaginary solutions to a quadratic equation.

15. I can use the discriminant to determine the nature of solutions to a quadratic equation.

16. I can complete the square of a quadratic.

17. I can interpret and solve problems involving quadratic functions.

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Piecewise Functions, Inverses, and Properties

18. I can write graph piecewise functions involving linear, absolute value

19. I can describe the transformations of a functions including translations, reflections, and vertical

dilations.

20. I can determine whether two functions are inverse functions graphically and analytically.

21. Given a function or graph, I can determine whether a function will have an inverse function and

then find the inverse function, or graph the inverse function.

22. I can interpret, solve, and describe problems involving linear, piecewise, absolute value, and step

functions.

Polynomials

23. I can find an appropriate window and graph polynomials, describe the degree, leading

coefficient, and put it in standard form.

24. I can describe the end behavior of a polynomial.

25. I can find the zeros of a polynomial and verify roots using synthetic division.

26. Given the zeros of a functions or its graph, I can write a polynomial in factored form.

27. I can solve polynomial equations using graphs, the factor theorem, rational root theorem, and the

quadratic formula

28. I can solve polynomial inequalities.

29. I can describe function properties including one-to-one, continuity, relative and absolute extrema,

symmetry, and increasing and decreasing intervals.

30. Given a set of data, I can choose an appropriate model to make predictions about the data.

31. Given a set of data, I can use regression to find a modelling function and interpret problems

involving the function.

32. I can distinguish between real, complex, pure imaginary, rational, and irrational numbers.

33. I can graph and find the magnitude of complex numbers.

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34. I can add and subtract complex numbers

Systems of Equations and Matrices

35. I can solve a system of 2 equations and 2 unknowns graphically, by substitution, and by

elimination and interpret the solution.

36. I can identify matrix dimensions and add and subtract matrices.

37. I can determine whether two matrices can be multiplied, and then find the product or find a value

given the product.

38. I can find the determinant of a 2x2 matrix without a calculator and larger matrices with a

calculator.

39. I can find the inverse of a matrix and describe why a matrix does not have an inverse matrix.

40. I can solve a matrix equation using inverse matrices.

41. I can interpret a problem and write a system of 3 equations and 3 unknowns to represent that

situation and convert it into a matrix, and solve the problem.

Ungraded - From Teacher

1. I can use complete sentences to articulate mathematical or physical ideas.

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2. I can Independently verify solutions.

3. I can estimate or check the reasonableness of answers.

5. I can effectively collaborate with my peers.

6. I can neatly organize my progression towards a solution.

7. I ask meaningful questions.

8. Days absent. Excused or unexcused.

Ungraded - From Student

7. I often reflect on my progress in this class (This does not just mean that you check your grade on

edline)

9. I make a valid attempt to engage myself and take ownership for my learning.