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: Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
problem_activity: Problem 1
How many?
[IMG]
Problem 2
Determine the value of the unknown in each equation below.
a.
$$a = 7 \times 8$$
b.
$$42 \div b =7$$
c.
$$49 = 7 \times c$$
d.
$$d\div 7 = 9$$
Problem 3
Here is the partially filled-in multiplication table from Lessons 1 and 6.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "table-layout:fixed; width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color: rgb(51, 153, 255); text-align: center;"}, "b": [{"_value": "x"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "1"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "2"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "3"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "4"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "5"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "6"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "7"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "8"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "9"}]}, {"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "1"}]}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "1"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "2"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "3"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "4"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "5"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "6"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "7"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "8"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "9"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "10"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "2"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "2"}, {"_attributes": {"style": "text-align:center"}, "_value": "4"}, {"_attributes": {"style": "text-align:center"}, "_value": "6"}, {"_attributes": {"style": "text-align:center"}, "_value": "8"}, {"_attributes": {"style": "text-align:center"}, "_value": "10"}, {"_attributes": {"style": "text-align:center"}, "_value": "12"}, {"_attributes": {"style": "text-align:center"}, "_value": "14"}, {"_attributes": {"style": "text-align:center"}, "_value": "16"}, {"_attributes": {"style": "text-align:center"}, "_value": "18"}, {"_attributes": {"style": "text-align:center"}, "_value": "20"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "3"}]}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "3"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "6"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "9"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "12"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "15"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "18"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "21"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "24"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "27"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "30"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "4"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "4"}, {"_attributes": {"style": "text-align:center"}, "_value": "8"}, {"_attributes": {"style": "text-align:center"}, "_value": "12"}, {"_attributes": {"style": "text-align:center"}, "_value": "16"}, {"_attributes": {"style": "text-align:center"}, "_value": "20"}, {"_attributes": {"style": "text-align:center"}, "_value": "24"}, {"_attributes": {"style": "text-align:center"}, "_value": "28"}, {"_attributes": {"style": "text-align:center"}, "_value": "32"}, {"_attributes": {"style": "text-align:center"}, "_value": "36"}, {"_attributes": {"style": "text-align:center"}, "_value": "40"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "5"}]}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "5"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "10"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "15"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "20"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "25"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "30"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "35"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "40"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "45"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "50"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "6"}]}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "6"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "12"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "18"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "24"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "30"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "36"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "42"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "48"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "54"}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}, "_value": "60"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "7"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "7"}, {"_attributes": {"style": "text-align:center"}, "_value": "14"}, {"_attributes": {"style": "text-align:center"}, "_value": "21"}, {"_attributes": {"style": "text-align:center"}, "_value": "28"}, {"_attributes": {"style": "text-align:center"}, "_value": "35"}, {"_attributes": {"style": "text-align:center"}, "_value": "42"}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}, "_value": "70"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "8"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "8"}, {"_attributes": {"style": "text-align:center"}, "_value": "16"}, {"_attributes": {"style": "text-align:center"}, "_value": "24"}, {"_attributes": {"style": "text-align:center"}, "_value": "32"}, {"_attributes": {"style": "text-align:center"}, "_value": "40"}, {"_attributes": {"style": "text-align:center"}, "_value": "48"}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}, "_value": "80"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "9"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "9"}, {"_attributes": {"style": "text-align:center"}, "_value": "18"}, {"_attributes": {"style": "text-align:center"}, "_value": "27"}, {"_attributes": {"style": "text-align:center"}, "_value": "36"}, {"_attributes": {"style": "text-align:center"}, "_value": "45"}, {"_attributes": {"style": "text-align:center"}, "_value": "54"}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}, "_value": "90"}]}, {"td": [{"_attributes": {"style": "background-color: rgb(153, 204, 255); text-align: center;"}, "strong": [{"_value": "10"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "10"}, {"_attributes": {"style": "text-align:center"}, "_value": "20"}, {"_attributes": {"style": "text-align:center"}, "_value": "30"}, {"_attributes": {"style": "text-align:center"}, "_value": "40"}, {"_attributes": {"style": "text-align:center"}, "_value": "50"}, {"_attributes": {"style": "text-align:center"}, "_value": "60"}, {"_attributes": {"style": "text-align:center"}, "_value": "70"}, {"_attributes": {"style": "text-align:center"}, "_value": "80"}, {"_attributes": {"style": "text-align:center"}, "_value": "90"}, {"_attributes": {"style": "text-align:center"}, "_value": "100"}]}]}]}]}
Add the new facts you encountered in this lesson to your multiplication table.


aligns: no