physics-ell

Designing scalable AI prompt architectures for diverse learning contexts, from K-12 chemistry scaffolding to undergraduate research assistance. This project validates custom prompts that maximize student self-efficacy, minimize factual error, and provide equitable linguistic support across educational levels.


Physics ELL Content Modification Template

This template helps you modify physics content, such as problem sets, diagrams, and lab procedures, for English Language Learners (ELLs) based on the REACH proficiency scale. It focuses on making abstract principles and mathematical concepts accessible.

# Physics ELL Content Modification Template

### **Teacher & Course Details**
| Detail | Information |
| :--- | :--- |
| **Role** | I am a high school physics teacher at Chicago Public Schools. |
| **Content Area** | Physics |
| **Grade Level(s)** | 11th Grade |

### **Lesson & Concept Details**
| Detail | Information |
| :--- | :--- |
| **Learning Target** | Students will be able to calculate the force, mass, or acceleration of an object using Newton's Second Law. |
| **Success Criteria** | Students can correctly solve 3 out of 4 problems involving Newton's Second Law (F=ma). |
| **Input Problem (Original)** | "A force of 100 N is applied to a box with a mass of 25 kg. What is the acceleration of the box?" |

### **Modification Instructions**
| Detail | Information |
| :--- | :--- |
| **Task** | Generate modified versions of the input content to support English Language Learners (ELLs) at different proficiency levels. |
| **Modification Focus** | Simplify the language in word problems, provide a glossary for key terms, and scaffold the problem-solving process with visual aids and explicit steps. |

***

## Modified Content for ELL Proficiency Levels (REACH Scale)

### 1. Level 1 (Entering)

The goal is to use **simple, high-frequency words** and present the problem using only the **variables and numbers**.

**Modified Problem:**
We **push** a **box** with a **force** ($\text{F}$) of 100 N. The box has a **mass** ($\text{m}$) of 25 kg.
**Find**: $\text{a}$ (acceleration). 

**Equation:** $\text{F} = \text{m} \times \text{a}$

**Question:** What is the **acceleration** ($\text{a}$)?

**Support/Scaffolding:**
* **Visual Aid:** A simple drawing showing the force arrow, the box, and the direction of acceleration.
* **Vocabulary:**
    * **Force (F):** A push or pull.
    * **Mass (m):** How much 'stuff' is in the box (weight).
    * **Acceleration (a):** How fast the box speeds up.

***

### 2. Level 2 (Beginning)

The goal is to use **short, simple sentences** and provide **step-by-step procedure** with a word bank.

**Modified Problem:**
A box has a **mass** of 25 kg. We put a **force** of 100 N on the box. The box starts to speed up.
**Calculate** (find the answer for) the **acceleration** of the box.

**Steps to Solve ($\text{F} = \text{m} \times \text{a}$):**
1.  **Write** the numbers you know: $\text{F} =$ \_\_\_\_\_\_ N, $\text{m} =$ \_\_\_\_\_\_ kg.
2.  **Write** the equation: $\text{F} = \text{m} \times \text{a}$.
3.  **Change** the equation to find $\text{a}$: $\text{a} = \text{F} \div \text{m}$.
4.  **Solve**: $\text{a} = \_\_\_\_\_\_ \div \_\_\_\_\_\_ = \_\_\_\_\_\_ \text{ m/s}^2$.

**Support/Scaffolding:**
* **Word Bank:** Force (N), Mass (kg), Acceleration ($\text{m}/\text{s}^2$), Calculate, Equation.
* **Color-Coding:** Highlight the word **Force** in the problem and the variable **F** in the equation with the same color.

***

### 3. Level 3 (Developing)

The goal is to introduce **some academic vocabulary** and **guide students to identify the known and unknown variables**.

**Modified Problem:**
Using **Newton's Second Law** ($\text{F}=\text{ma}$), determine the **acceleration** of an **object** given the following conditions:
* A **net force** of 100 Newtons ($\text{N}$) is applied.
* The object's **mass** is 25 kilograms ($\text{kg}$).

**Guide to Solving:**
1.  **Known Variables:** (What information is given?)
    * $\text{F} = $ \_\_\_\_\_\_
    * $\text{m} = $ \_\_\_\_\_\_
2.  **Unknown Variable:** (What do you need to find?)
    * $\text{a} = $ ?
3.  **Solve for 'a'**: Rearrange the equation $\text{F} = \text{ma}$ to solve for acceleration.

**Support/Scaffolding:**
* **Analogy:** **Force** is like the engine of a car; **mass** is like the car's weight; **acceleration** is the car's speed change.
* **Glossary:** **Object** (a thing), **Applied** (put on or used), **Determine** (find out).

***

### 4. Level 4 (Expanding)

The goal is to use **grade-level academic vocabulary** and provide a **graphic organizer** to formalize the problem-solving process.

**Modified Problem:**
An **external net force** of 100 Newtons is **exerted** on a 25-kilogram object. **Calculate** the resulting **rate of acceleration** in $\text{meters}/\text{second}^2$.

**Scaffolded Problem-Solving Organizer:**

| **Step** | **Procedure** | **Variable/Value** | **Equation Used** |
| :--- | :--- | :--- | :--- |
| 1. **Identify** | State the known $\text{F}$ and $\text{m}$. | $\text{F} = $ \_\_\_\_\_\_ $\text{N}$ $\text{m} = $ \_\_\_\_\_\_ $\text{kg}$ | $\text{F} = \text{ma}$ |
| 2. **Rearrange** | Isolate the unknown variable ($\text{a}$). | $\text{a} = $ \_\_\_\_\_\_ | \_\_\_\_\_\_ |
| 3. **Substitute** | Insert numerical values. | $\text{a} = $ \_\_\_\_\_\_ / \_\_\_\_\_\_ | |
| 4. **Calculate** | Solve and include the correct units. | $\text{a} = $ \_\_\_\_\_\_ $\text{m}/\text{s}^2$ | |

***

### 5. Level 5 (Bridging)

The goal is to present **content at or near the target proficiency level**, focusing on **complex phrasing** and **conceptual clarity**.

**Modified Problem:**
Based on the principles of **Newtonian mechanics**, specifically the relationship described by the **Second Law of Motion**, what is the resulting **magnitude** of **acceleration** when a **net external force** of 100 N is **applied** to an object possessing an **inertial mass** of 25 kg?

**Support/Scaffolding:**
* **Phrasing Clarification:** Review the meaning of terms like *magnitude* (size/amount) and *inertial mass* (mass as resistance to change in motion).
* **Conceptual Check:** Ask students to briefly explain *why* the force and acceleration are directly proportional (if force increases, acceleration increases).

***

### 6. Level 6 (Reaching)

**Modified Prompt:**
**Original Input:** "A force of 100 N is applied to a box with a mass of 25 kg. What is the acceleration of the box?"

**Focus:** Minimal to no modification needed. The content is presented in its original form. Students should be ready to independently solve, show all work, and potentially discuss a related conceptual problem (e.g., "How would the acceleration change if the force were doubled?").