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 and division and of fractions to multiply and divide rational numbers.

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


Concept/skill: 
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

Answer: 
No. This problem does not directly teach how side ratios in right triangles lead to definitions of trigonometric ratios. Instead, it involves solving a trigonometric function.

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_pos_0

7

fl_problem_001894_neg_0

HS_0
standard_description: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
problem_activity: Problem 1
Look at your yardstick and 12-inch ruler again.
Ms. Cole says that 1 foot is equivalent to
$$\frac{1}{3}$$
yard. Do you agree or disagree? Explain.
Using similar reasoning, determine what fraction of a foot an inch is.
Use your reasoning from Part (a) to solve the following conversions.
$$\frac{2}{3}$$
yard = ______ feet
$$2\frac{1}{3}$$
yards = ______ feet
$$\frac{5}{12}$$
foot = ______ inches
$$3\frac{1}{4}$$
feet = ______ inches
$$4\frac{1}{2}$$
yards = ______ inches
Problem 2
a.  Show or explain how you know
$${{1\over16}}$$
pound =
$$1$$
ounce.
b.  Show or explain how you know
$${1\over4}$$
pound =
$$4$$
ounces.
c.  Show or explain how you know
$$4{3\over8}$$
pounds =
$${67}$$
ounces.
Problem 3
Solve.
a.
$${{1\over4}}$$
gallon = ________ quart
b.
$${{3\over2}}$$
quarts = ________ pints
c.
$${4{1\over2}}$$
pints = ________ cups
d.
$${7{3\over4}}$$
cups = ________ fluid ounces
Problem 4
Solve.
a.
$${{1\over24}}$$
day = ________ hour
b.
$${{13\over60}}$$
hour = ________ minutes
c.
$${2{1\over4}}$$
minutes = ________ seconds
d.
$${3{1\over2}}$$
days = ________ minutes


aligns: no