Eureka Math Algebra II Study Guide

Notes | 131

26. Combining functions also includes composition of functions.


27. In Algebra II, tasks may involve polynomial, exponential, logarithmic, and trigonometric
    functions. Tasks may involve recognizing even and odd functions.


28. In Algebra II, tasks will include solving multi-step problems by constructing linear and
    exponential functions.


29. Students learn terminology that logarithm without a base specified is base 10 and that
    natural logarithm always refers to base e.


30. Tasks have a real-world context. In Algebra II, tasks include exponential functions with
    domains not in the integers.

Chapter 6

1. This standard is assessed in Algebra II by ensuring that some modeling tasks (involving
   Algebra II content or securely held content from previous grades and courses) require
   the student to create a quantity of interest in the situation being described (i.e., this is
   not provided in the task). For example, in a situation involving periodic phenomena, the
   student might autonomously decide that amplitude is a key variable in a situation and
   then choose to work with peak amplitude.


2. In Algebra II, tasks are limited to polynomial, rational, or exponential expressions.
   Examples: see xy^44 - as ()xy^22 - ()^22 , thus recognizing it as a difference of squares that
   can be factored as ()xy^22 -+()xy^22. In the equation xx^22 ++ 21 +=y 9 , see an opportunity
   to rewrite the first three terms as ()x+ 12 , thus recognizing the equation of a circle with
   radius 3 and center (,- 10 ). See ()()xx
   2
   2
   4
   3

+

+ as

(( ))

()

x

x

2

2

31

3

++

+ , thus recognizing an opportunity to write it

as 1 +()()x (^21) + 3.

3. Tasks include problems that involve interpreting the remainder theorem from graphs and
   in problems that require long division.


4. In Algebra II, tasks include quadratic, cubic, and quartic polynomials and polynomials for
   which factors are not provided. For example, find the zeros of ()xx^22 -+ 11 ().


5. Tasks include rewriting rational expressions that are in the form of a complex fraction.


6. In Algebra II, tasks are limited to simple rational or radical equations.


7. In Algebra II, in the case of equations having roots with nonzero imaginary parts,
   students write the solutions as ab± i, where a and b are real numbers.


8. In Algebra II, tasks are limited to 3 ́ 3 systems.


9. This standard includes expressions where either base or exponent may contain
   variables.


10. This standard is assessed in Algebra II by ensuring that some modeling tasks (involving
    Algebra II content or securely held content from previous grades and courses) require
    students to create a quantity of interest in the situation being described (i.e., this is not
    provided in the task). For example, in a situation involving periodic phenomena, students
    might autonomously decide that amplitude is a key variable in a situation and then
    choose to work with peak amplitude.