few_shots: Example 1:
Problem/activity:
Task
Materials
One 10-frame per pair of students (see example below)
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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.


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

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


Standard options: 
A. Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)
B. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
C. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.


Thought: 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).
Answer: B

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


Standard options: 
A. Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
B. Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.


Thought: 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. Solving this problem does not require use of the Pythagorean identity.
Answer: B

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

K

fl_problem_001097

7

fl_problem_001894

HS_0
options: Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length).

Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.

Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”
problem_activity: Narrative
The purpose of this activity is for students to describe and draw shapes. Students work in pairs to describe and draw a mystery shape. Students learn that they need to be precise in describing the shape in order for their partner to draw the shape accurately and have opportunities to use the language they have learned to describe shape attributes (MP6). There are also some shapes that students have not been introduced to the formal names of. Students can describe the attributes of these shapes but are not expected to name the shapes.
MLR8 Discussion Supports.
Invite students to begin partner interactions by repeating the partner’s description before drawing it. For example, “your shape has 3 sides and 3 corners.” This gives both students an opportunity to produce language.
Advances: Conversing
Action and Expression: Internalize Executive Functions.
Students might need quiet think time to come up with words they will use to describe the shape they picked. Ask students to give their partners time in between turns to think of words.
Supports accessibility for: Conceptual Processing, Language
Launch
Display the student book.
“In the last activity, we used dot paper. What is different about this dot paper?” (There are no red dots.)
Share responses.
“Draw lines on the dot paper to make some shapes.”
2 minutes: independent work time
“Today we’re going to play a new game called ‘Draw the Mystery Shape’. One partner will choose a shape and describe it. The other partner will draw the shape.”
“Let’s try it. I’m going to describe a shape. Draw the shape that I describe on the dot paper.”
“This shape has 3 sides and 3 corners.”
30 seconds: independent work time
“Did you and your partner draw the same shape?” (No. We drew shapes with 3 sides but they don’t look the same.)
Draw or display:
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“This was the shape I wanted you to draw. What else could I have said about the shape to help you know what to draw?” ( It is skinny. It is pointing to the side. Two sides are long and one side is short.)
Activity
“Pick a shape but don’t tell your partner which shape you picked. Tell your partner all about the shape so they can draw it.”
8 minutes: partner work time
Student Facing
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Student Response
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Activity Synthesis
“Which clues helped you figure out how to draw the shape?”


correct_option_index: 0

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