Numberless Word Problems

Melody Boyd

23 May 202104:42

Summary

TLDRIn this educational video, the instructor introduces a word problem involving Garrett, who had marbles in a jar. The jar was accidentally knocked over, resulting in some marbles being spilled and some remaining. The instructor emphasizes the concept of 'separating' in the context of the problem. Through a hands-on approach using snap cubes, the students are guided to visualize the initial 17 marbles, the 8 left in the jar, and deduce that 9 marbles were the 'change' or the ones that spilled out. The lesson aims to help students understand the process of separation and the relationship between the initial quantity, the result, and the change.

Takeaways

🧩 Garrett put some marbles in a jar.
🤦 Garrett accidentally knocked over the jar, causing some marbles to spill out.
🪣 There were still some marbles left in the jar after the spill.
🔍 The teacher highlights the word 'some' to emphasize the unknown quantity.
🔢 There are no specific numbers given in the initial problem.
🧠 Students are encouraged to visualize the story and identify key elements.
📚 The problem involves separating, as some marbles spilled out while others stayed in the jar.
🧮 Introducing numbers changes the problem: 17 marbles in the jar initially.
📉 After the spill, 8 marbles were left in the jar.
🤔 Students use snap cubes to model the problem and find the number of marbles that spilled out, which is 9.

Q & A

What is the main topic of the word problem discussed in the script?
-The main topic of the word problem is about Garrett, who had marbles in a jar and accidentally knocked it over, causing some marbles to spill out.
What did the word 'some' highlight in the script signify?
-The word 'some' highlighted in the script signifies an unspecified quantity of marbles that were affected by the incident of the jar being knocked over.
What is the key action that happened in the story according to the script?
-The key action in the story is that Garrett accidentally knocked over the jar containing marbles, resulting in some of them spilling out.
What was the initial condition of the marbles before the incident?
-The initial condition was that the marbles were all together in a jar.
What type of problem is this according to the script's discussion?
-According to the script, this is a separating problem because the marbles that were initially together got separated after the jar was knocked over.
What new information was introduced by removing the word 'some' and providing a number?
-The new information introduced was the total number of marbles that were initially in the jar, which was 17.
How many marbles were left in the jar after the incident?
-After the incident, there were eight marbles left in the jar.
What mathematical operation is implied by the script for solving the problem?
-The mathematical operation implied by the script is subtraction, to find out how many marbles spilled out by subtracting the number of marbles left in the jar from the total initial number.
What is the result of the change after the jar was knocked over?
-The result of the change is that nine marbles spilled out of the jar, as indicated by the subtraction of the marbles left from the total initial number.
What would be the likely question that the script is leading up to?
-The likely question the script is leading up to is 'How many marbles spilled out of the jar?'
What is the final answer to the problem based on the script's information?
-The final answer to the problem is that nine marbles spilled out of the jar.

Outlines

00:00

😀 Introduction to the Word Problem

The video script introduces a word problem involving a character named Garrett who has marbles in a jar. The instructor reads the problem, highlighting that Garrett accidentally knocks over the jar, causing some marbles to spill out while some remain. The problem presents a scenario of separation, not joining, and the instructor encourages the students to visualize the story and think about the quantities involved, even though no specific numbers are initially given.

🔍 Analyzing the Word Problem

The instructor and students analyze the word problem, focusing on the key elements: Garrett, the marbles in the jar, the accidental spill, and the marbles that remain. The instructor underlines the word 'sum' to emphasize the unknown quantity and uses hand motions to help students understand the concept of separation. The discussion aims to clarify the nature of the problem and prepare students for the introduction of numerical values.

📈 Introducing Numerical Values

The instructor introduces a numerical value to the problem by stating there were initially 17 marbles in the jar. This new information changes the nature of the problem from abstract to concrete, allowing the students to use snap cubes to represent the marbles and visualize the change. The instructor guides the students to move from the start (17 marbles) to the result (8 marbles left), emphasizing the concept of change and its impact on the initial quantity.

🧩 Solving the Word Problem

The final part of the script involves the students calculating the number of marbles that spilled out by subtracting the marbles left in the jar (8) from the original number (17). The instructor confirms that the change is 9 marbles and relates this to the question that might be asked, which is about the quantity of marbles that spilled out. The students are guided to understand that the change is a result of the separation and that it must be accounted for to maintain the integrity of the initial quantity.

Mindmap

Keywords

💡Word Problem

A word problem is a type of mathematical problem that is presented in a narrative form, requiring the solver to interpret the situation and apply mathematical concepts to find a solution. In the video, the word problem is central to the theme, involving a scenario where marbles are spilled from a jar, and the students are guided to understand and solve the problem using mathematical reasoning.

💡Marbles

Marbles are small spherical toys often used in games or as collectibles. In the context of the video, marbles serve as the objects of interest in the word problem, where the number of marbles before and after an event (knocking over a jar) is crucial to understanding the mathematical concept of subtraction.

💡Jar

A jar is a cylindrical container with a wide mouth, typically used for storage. In the video, the jar is the vessel that initially holds the marbles, and its accidental knocking over is the event that triggers the word problem's scenario, leading to a change in the number of marbles.

💡Accidentally

The term 'accidentally' refers to an action that occurs without intention or by mistake. In the video, the marbles are knocked over accidentally, which is a key detail that sets the stage for the problem-solving process, emphasizing that the action was not planned.

💡Spilled Out

To 'spill out' means to pour or flow out uncontrollably, often due to an accident. In the script, the marbles 'spill out' when the jar is knocked over, which is the action that results in a change in the quantity of marbles and is central to the word problem.

💡Numbers

Numbers are used to quantify and represent amounts. In the video, the absence of specific numbers initially is highlighted, and later, numbers are introduced to provide a concrete context for the word problem, such as the total number of marbles in the jar and the number left after the spill.

💡Sum

In mathematics, 'sum' typically refers to the result of adding two or more numbers together. In the video, the word 'sum' is underlined to draw attention to the total quantity of marbles, which is a critical piece of information needed to solve the problem.

💡Visualize

To 'visualize' is to form a mental image or picture of something. The video encourages students to visualize the story of the marbles and the jar to better understand the word problem and to engage with the mathematical concepts in a more concrete way.

💡Separating

Separating refers to the act of dividing or moving things apart. In the context of the video, the marbles are separated into two groups after the jar is knocked over—those that remain in the jar and those that spill out. This concept is essential for understanding the change in quantity.

💡Snap Cubes

Snap cubes are small, colorful, plastic blocks often used in educational settings to represent quantities and solve problems visually. In the video, snap cubes are suggested as a tool to help students physically manipulate the quantities involved in the word problem, aiding in the understanding of the mathematical concept.

💡Change

In the context of this video, 'change' refers to the difference in the number of marbles before and after the event of the jar being knocked over. The concept of change is fundamental to the problem-solving process, as it represents the result of the subtraction that needs to be performed.

💡Result

The 'result' in this video refers to the outcome or the final state after the change has occurred. Specifically, it is the number of marbles left in the jar after some have spilled out. Understanding the result is key to determining the amount that has been lost or changed.

Highlights

Introduction to a word problem about marbles in a jar

Garrett accidentally knocked over the jar of marbles

Some marbles spilled out, but some remained in the jar

The word 'some' is highlighted to indicate unknown quantities

No numbers are given in the problem

The story is about Garrett and his marbles

The marbles were initially together in the jar

After the jar was knocked over, the marbles got separated

The problem is identified as a separating problem

Introduction of a number - 17 marbles were initially in the jar

Eight marbles were left in the jar after the incident

The change is calculated as 17 - 8 = 9 marbles spilled out

The concept of 'start', 'change', and 'result' is introduced

Using snap cubes to visualize the problem

The importance of not changing the 'start' when calculating the 'change'

The question posed is 'How many marbles spilled out?'

The answer to the question is 9 marbles spilled out