few_shots: 
Example:
Concept/skill: 
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Answer: 
Yes. This problem solves a real-world problem involving mixing ingredients for cookies. A student doing this problem would need to reason about equivalent ratios of butter amounts to sugar amounts.

Now, assess whether the following problem or activity is 'aligned' with the given Common Core standard in Mathematics.

shot_info: fl_problem_000972_pos_0

6
standard_description: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
problem_activity: Problem 1
The formula for an explicit rule for an arithmetic sequence is given by
$${a_n=a_1+d(n-1)}$$
, where
$$d$$
is the common difference and
$$n$$
is the term number.
Write an explicit rule for the number of tiles in each pattern shown below.
a.
[IMG]
b.
[IMG]
c.
[IMG]
Problem 2
An arithmetic sequence is shown below.
$${29,\space 22,\space15,\space8,\space1,\space…}$$
Write a recursive formula to represent the sequence.
Write an explicit formula to represent the sequence.
Find the 10th term in the sequence.
Find the 100th term in the sequence.
Problem 3
An arithmetic sequence is described by either a recursive or explicit rule below. If given a recursive rule, provide the explicit rule. If given the explicit rule, give the recursive rule.
a.
$${f(n)=6(n-1)+1}$$
, for
$${n\geq1}$$
b.
$${a_{n+1}=a_n-{3\over2}}$$
,
$${a_1=10}$$


aligns: no