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.


Standard options: 
A. 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.
B. For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.
C. 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).
D. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
E. Fluently add and subtract within 5.


Your response:
Thought: This task involves representing addition with objects such as number cards and dice.
Answer: A

Example 2:
Problem/activity:
Task
 Arrange the fractions in order from least to greatest. Explain your answer with a picture.
 $\frac{1}{5}, \frac{1}{7}, \frac{1}{3} $
 $\frac{2}{5}, \frac{2}{7}, \frac{2}{3} $
 $\frac{5}{6}, \frac{3}{6}, \frac{1}{6} $
 $\frac{5}{12}, \frac{8}{12}, \frac{4}{12} $

Standard options: 
A. Understand a fraction as a number on the number line; represent fractions on a number line diagram.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
B. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
C. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.


Your response:
Thought: By arranging the fractions in this problem, students learn to compare fractions by reasoning about their size.
Answer: B

Example 3:
Problem/activity:
Problem 1
Solve using the standard algorithm. If you get stuck, use an area model and/or the partial products algorithm to help. Then assess the reasonableness of your answer.
a.
$$5,803\times46$$
b.
$$63\times2,116$$
Problem 2
Dunkin' introduced a croissant doughnut in 2014. In the first three months of its debut, they sold 7,870 dozen of them per day. How many croissant doughnuts were sold in the first three months?


Standard options: 
A. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
B. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
C. Fluently multiply multi-digit whole numbers using the standard algorithm.


Your response:
Thought: This set of problems involves multi-digit whole numbers because the numbers in each problem are four and two digit integers, and the mathematical calculations involved in both problems focus on multiplication. The first problem explicitly asks the student to solve its subproblems using the standard algorithm.
Answer: C

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: im_task_001477

K

im_task_000157

3

fl_problem_000674

5
options: Compare two numbers between 1 and 10 presented as written numerals.

Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies (include groups with up to ten objects).
problem_activity: Narrative
The purpose of this activity is for students to learn stage 2 of the Less, Same, More center. Students compare groups of images in different arrangements. The activity synthesis highlights that numbers that are fewer than 5 come before 5 in the count sequence and numbers that are more than 5 come after 5 in the count sequence. This idea will be revisited in future sections and units. Students need repeated experiences comparing groups of objects, images, and numbers to be able to notice, articulate, and use the connection between the counting sequence and comparing the size of numbers (MP7, MP8).
The recording sheet is printed in the student book for this activity. There is a blackline master available for students to use during centers in future activities and lessons.
MLR8 Discussion Supports.
Remind students to use comparison language such as “fewer than,” “the same number as,” or “more than.”
Advances: Listening, Speaking
Required Materials
Materials to Copy
Less, Same, More Mat
Image Cards Grade K
Required Preparation
Create a T-chart labeled "Fewer than 5" and "More than 5".
Launch
Groups of 2
Give each group of students a set of cards.
“We are going to learn a new way to play the Less, Same, More center.”
Display the student page.
“How many dots are in the box?” (5)
30 seconds: quiet think time
Share responses.
Display an image card.
“How many dots are there?”
30 seconds: quiet think time.
Share responses.
“Are there fewer, the same, or more than 5? How do you know?”
Point to each part of the mat as you explain: “If it shows fewer than 5, put the card on the left. If it shows the same number, put the card in the middle. If it shows more, put the card on the right.”
“Choose a card, figure out how many things are on the card, and figure out if the image shows fewer, the same, or more than 5 images.”
Activity
7 minutes: partner work time
Student Facing
[IMG]
Student Response
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Activity Synthesis
Display t-chart labeled ‘Fewer than 5’ on the left and ‘More than 5’ on the right.
“Choose a card that shows fewer than 5. How many things are on your card?”
30 seconds: partner work time
Share responses.
Write the numbers on the left side of the t-chart as students share.
Repeat for cards that show more than 5.
Read the numbers on each side of the chart.
“What do you notice? What do you wonder?” (It sounds like you are counting. The numbers you say before 5 are all together on one side and the numbers you say after 5 are on the other side.)


correct_option_index: 1