few_shots: 
Example 1:
Concept/skill: 
Represent addition and subtraction with objects, fingers, mental images, drawings (Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards.)), sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

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.


Answer: 
Yes. This task involves representing addition with objects such as number cards and dice.

Example 2:
Concept/skill: 
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

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
$$-\frac{1}{4}$$


Answer: 
Yes. This problem involves understanding fractions and division to divide rational numbers, such as 1, -4, 4, and -1. This problem also involves an understanding of multiplication: if p and q are integers, then -(p/q) = (-p)/q = p/(-q).

Example 3:
Concept/skill: 
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

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


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

shot_info: im_task_001477_pos_0

K

fl_problem_001097_pos_0

7

fl_problem_001894_pos_0

HS_0
standard_description: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
problem_activity: Narrative
The purpose of this activity is for students to practice drawing and describing figures with points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.
Students draw two-dimensional figures and then describe it to their partner. Their partner attempts to draw the figure without seeing it, making it important to use precise language to communicate important features of the figure (MP6).
Representation: Develop Language and Symbols.
Provide students with access to definitions or reminders of recently learned terms, such as: ray, line segment, right angle, acute angle, obtuse angle, perpendicular lines, parallel lines.
Supports accessibility for: Memory, Conceptual Processing, Attention
Required Materials
Materials to Gather
Rulers or straightedges
Launch
Groups of 2
Activity
5 minutes: independent work time
8–10 minutes: partner work time
Monitor for diagrams that reflect a variety of geometric features.
Monitor for students who consider both geometric features and measurement in the description.
Student Facing
Create a two-dimensional shape that has at least 3 of the following:
ray
line segment
right angle
acute angle
obtuse angle
perpendicular lines
parallel lines
Without showing your partner, describe the figure so that your partner is able to draw it as best as possible.
Switch roles, and draw your partner’s shape based on their description.
Student Response
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Activity Synthesis
Invite previously selected students to share.
“What would have helped your partner make a more accurate drawing?” (If I described the measure of the angle, measure of the line segment, the location, a grid, using a straight edge)


aligns: yes