few_shots: 
Example 1:
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.

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

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_neg_0

K

fl_problem_001097_pos_0

7

fl_problem_001894_pos_0

HS_0
standard_description: Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
problem_activity: Narrative
The purpose of this activity is for students to create stories and relate the action in the stories to the action of adding or taking away counters. While in the first activity, the story was provided, in this activity students create the action in the story, which is an opportunity to hear what language students associate with addition and subtraction (MP6). Mats with pictures of each setting are provided to help students make connections between what they do with their cubes and what is happening in the story. The goal of the activity synthesis is to relate the action in the story to the action with counters and show students expressions that represent these actions (MP2).
MLR8 Discussion Supports.
Synthesis: Provide all students with an opportunity to produce these words and numbers by inviting students to chorally repeat the expression in unison 1-2 times. For example: “7 take away 3” and “
\(7 - 3\)
”.
Advances: Listening, Speaking
Representation: Internalize Comprehension.
Synthesis: First demonstrate, then invite students to name each action they take as they tell their stories. For example, “Four ducks are swimming in a lake. Two ducks fly away. When the ducks fly away, I take away 2 counters.”
Supports accessibility for: Conceptual Processing, Organization
Required Materials
Materials to Gather
Two-color counters
Launch
Groups of 2
“We have heard and acted out some stories about students playing at school. Where else in your community do you see people playing outside? Describe it to your partner.”
30 seconds: quiet think time
1 minute: partner discussion
Share and record responses.
Display images from the student book.
“Some of the places where we play and walk around outside are parks and playgrounds. These stories all take place in different parks and playgrounds. How are these pictures the same as parks and playground that you have been to? How are they different?”
Give each student a bag of 10 two-color counters.
“We’re going to use our counters to show what is happening in our stories, but this time, the stories aren’t finished yet.”
Activity
Display the student workbook page of a field and read the first question. Count out 7 counters and place them on the field.
“I’ve got 7 kids playing tag in the field. What do you think happens next in the story?”
30 seconds: quiet think time
1 minute: partner discussion
Share responses.
Choose one student response and demonstrate the action with the counters.
“Now it’s your turn. I’m going to read you the first part of the story. Your job is to think about what happens next in the story. Then tell the story to your partner and show them what happens with your counters.”
Read each question. Give students quiet think time and partner discussion time for each question.
Student Facing
There were 7 kids playing tag on the field.
[IMG]
There were 2 kids eating at the picnic table.
[IMG]
There were 4 ducks swimming in the lake.
[IMG]
There were 5 kids playing hopscotch.
[IMG]
Student Response
Teachers with a valid work email address can
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Advancing Student Thinking
If students represent the given sentence with counters but need encouragement to make up the rest of the story, consider asking:
“Can you use your counters to show me what happened first in the story?”
“What do you think happened next? Do you think more kids came to play tag or do you think some kids went home?”
Activity Synthesis
For each question, choose a student to share their story and demonstrate what happens with their counters. Record the action with words and numbers and an expression. For example: “7 take away 3” and “
\(7 - 3\)
”.
As each student shares, ask: “What do the counters represent?”


aligns: no