few_shots: 
Example:
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?


Concept/skill: 
Recognize and represent proportional relationships between quantities.

Answer: 
No. Usually problems that teach recognizing and representing proportional relationships between quantities involve deciding whether two quantities are in a proportional relationship or identifying the constant of proportionality, and then representing proportional relationships by equations or explaining proportional relationship using coordinate graphs.

Now, does the problem or activity shown below enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_000972_neg_0

6
standard_description: Solve linear equations in one variable.
problem_activity: Problem 1
Each scenario on the left corresponds with a calculation on the right. Connect the scenarios and calculations and identify which features are most useful in connecting the representations:
{"table": [{"_attributes": {"align": "center", "class": ["table", "table-bordered"], "style": "table-layout:fixed; width:60%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Rolling once the number is an odd number or a number less than 3."}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${P(A\\space\\mathrm{and}\\space B) = \\left({3\\over6}\\right)\\left({1\\over6}\\right)}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Rolling once and the number is an odd number or 4."}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${P(A\\space\\mathrm{or}\\space B) = {3\\over6}+{2\\over6}-{1\\over6}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Rolling twice. The first roll is an odd number and the second roll is a number less than 3."}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${P(A\\space\\mathrm{and}\\space B) = \\left({3\\over6}\\right)\\left({2\\over6}\\right)}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Rolling twice. The first roll is an odd number and the second roll is a 4."}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${P(A\\space\\mathrm{or}\\space B) = {3\\over6}+{1\\over6}}$$"}]}]}]}]}]}
Problem 2
Below is a spinner with four quadrants, each labeled 1–4. Each outcome is equally likely.
[IMG]
Sam spins the spinner twice and doesn’t land on 4. What is the probability of this occurring?
Problem 3
Allison has put together a simple game. She put 6 cubes in a paper bag—3 yellow and 3 blue. Allison has determined that the rules are as follows:
Pull a cube from the bag and put it on the table.
Pull a second cube from the bag.
If the cubes are different colors, then Player A wins.
If the cubes are the same color, then Player B wins.
Is this game fair? How do you know?


aligns: no