Eureka Math Algebra II Study Guide

129

Chapter 2

1. achievethecore.org. “The Common Core State Standards Shifts in Mathematics.”
   http://achievethecore.org/shifts-mathematics (accessed Nov. 24, 2015).


2. corestandards.org. “High School Publishers’ Criteria for the Common Core State
   Standards for Mathematics.” achievethecore.org (accessed Feb. 4, 2016).


3. Ibid.


4. achievethecore.org. “The Common Core Standards Shifts in Mathematics.”


5. Ibid.


6. Ibid.


7. Ibid.


8. Ibid.

Chapter 3

1. This standard will be 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 x^4 – y^4 as (x^2 )^2 – (y^2 )^2 , 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 (– 1, 0). See ()()xx

2

2

4

3

+

+ as

(( ))

()

x

x

2

++ (^231) + 3 , thus recognizing an opportunity to write
it as 1 +()()x (^21) + 3. Tasks include the sum or difference of cubes (in one variable) and
factoring by grouping.

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. Prove and apply.

Notes