few_shots: 
Example 1:
Problem/activity:
Task
Materials
One 10-frame per pair of students (see example below)
[IMG]
Counters, 10 per pair of students
Decks of number cards 0-5 (with 4 of each number) or two 0-5 dice
Setup
This activity is done in pairs. The students sit side by side with 10-frame and deck of cards or dice. If they have cards, the cards are shuffled and placed face down in front of them.
Action
Player 1 flips a card or rolls the die. They place that many counters on the 10-frame. Player 2 flips a card or rolls the die. They place that many more counters on the 10-frame next to the counters already on the ten frame. The students count the total together.
A recording sheet can be added when the students have been introduced to equations and number sentences. For those students who can handle higher numbers, a deck of 0-10 cards and two 10-frames can be used.
This game can also be played alone.


Concept/skill: 
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

Answer: 
No. Though this task involves addition, it does not involve any word problems.

Example 2:
Problem/activity:
For each pair of numbers, determine if the values are equivalent. Explain your reasoning for each one.
a.
$$-0.25$$
and
$$\frac{1}{-4}$$
b.
$$-\left ( \frac{1}{4} \right )$$
and
$$\frac{-1}{-4}$$
c.
$$\frac{-1}{4}$$
and
$$-\frac{1}{4}$$


Concept/skill: 
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Answer: 
No. The expressions shown in this problem do not involve multiplying fractions with other fractions, nor whole numbers with fractions.

Example 3:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Concept/skill: 
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

Answer: 
No. This problem does not directly teach how side ratios in right triangles lead to definitions of trigonometric ratios. Instead, it involves solving a trigonometric function.

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

shot_info: im_task_001477_neg_0

K

fl_problem_001097_neg_0

7

fl_problem_001894_neg_0

HS_0
standard_description: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) ^( )Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
problem_activity: Problem 1
Katia and Gerard are stocking shelves at the grocery store. Katia stocks 3 shelves with 7 boxes of cereal on each shelf. Gerard stocks 7 shelves with 3 boxes of cereal on each shelf.
Katia says they put the same number of cereal boxes on each shelf. Gerard says they didn’t, since they stocked a different number of boxes on each of a different number of shelves. Who do you agree with, Katia or Gerard? Explain.
Problem 2
Fill in the facts you know on the multiplication table below.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "table-layout:fixed; width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#3399ff; text-align:center"}, "strong": [{"_value": "\u00d7"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "1"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "2"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "3"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "4"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "5"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "6"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "7"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "8"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "9"}]}, {"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "1"}]}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "2"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "3"}]}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "4"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "5"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "6"}]}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}, {"_attributes": {"style": "background-color:#ffffff; text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "7"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "8"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "9"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "background-color:#99ccff; text-align:center"}, "strong": [{"_value": "10"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}]}]}]}
Problem 3
Solve.
a.
$$4 \times 8 =a $$
b.
$$18 = b \times 6$$
c.
$$c= 35 \div 7$$
d.
$$9 = 18 \div d$$


aligns: yes