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: 
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

Answer: 
Yes. An initial step when solving for x in this problem requires the use of the addition formula for cosine on the left side of the equation.

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_pos_0

HS_0
standard_description: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
problem_activity: Narrative
The purpose of this activity is for students to build any object they want to. In the next activity, students focus only ;on rectangular prisms. As students count, they will need to make sure to count each cube once and only once. Monitor for these strategies:
Touch each cube as it is counted
Count the cubes by layer (including when there are different numbers of cubes in each layer)
Use addition or multiplication when the cubes are organized in layers
Required Preparation
Each group of 2 needs 24 connecting cubes.
Launch
Groups of  2
Give 24 connecting cubes to each group.
“In this activity, you will use unit cubes to build objects and describe how you would measure the volume.”
10 minutes: partner work time
Activity
As students work, monitor for students who build rectangular prisms to share during the synthesis.
Student Facing
Partner A: Build an object using 8–12 cubes and give the object to Partner B.
Partner B: Explain how you would count the number of cubes in the object.
Partner A: Explain if you would count the cubes in the same way or in a different way.
Switch roles and repeat.
Which objects were easiest to count? Why?
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Student Response
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for free access to Student Response.
Advancing Student Thinking
If students are counting all of the cubes one at a time, ask, “where do you see cubes that could be counted as a group?”
Activity Synthesis
Discuss responses to the last problem.
“Which objects were most challenging to count?” (Objects where I had to count each individual cube because it was a weird shape.)
“Which objects were the simplest to count?” (Organized shapes like towers, rectangles, cubes, or boxes.)
Invite selected students to share the rectangular prisms they built and how they counted the number of cubes.
“How did you count the cubes?” (I knew that there were 4 cubes in each layer and 2 layers so that’s 8 cubes.)
“We call these objects
rectangular prisms
. What were some ways you used to count the cubes in rectangular prisms?” (I counted the cubes in groups and then skip counted. I used multiplication to find the total.)


aligns: yes