Jeremiah has been researching pattern recognition and considering how to clearly communicate his research to potential clients. Jeremiah is interested in the stock market and investing, so he starts watching an online video channel that features tutorials.

Question

One of the videos is about a type of math called business calculus, which analysts use to study trends in the market. He finds many of the symbols and definitions confusing, so he pauses on some parts that he understands and tries to work out a solution. He then plays the video to see if he got it right or to find where he made a mistake.
eremiah spends several weeks learning and practicing. Then he decides to make his own video on how to rewrite expressions.

Write a short script for Jeremiah to read while he shows an example problem. In the script, include cues for his actions along with the words he will say. Your goal is to communicate the information clearly for an audience by including the following:

descriptions and examples of the different properties
transitions that signal a new step is occurring in the process
active tense and action verbs that illustrate the steps to perform
memorable moments that engage and draw in the audience

Answer 1

[INTRO SCENE]
Jeremiah sits at a neatly organized desk, with a whiteboard behind him filled with colorful equations. A friendly smile on his face shows his enthusiasm for teaching.

Jeremiah: "Hello, everyone! I'm Jeremiah, and today we're diving into the world of rewriting expressions using math properties! This journey will not only enhance your understanding but will also sharpen your skills as you invest intelligently in the stock market!"

[ACTION CUE: Jeremiah picks up a marker and faces the whiteboard.]

Jeremiah: "Let's start with the Distributive Property. This states that a(b + c) equals ab + ac. In layman's terms, it means you distribute the outer number across the numbers inside the parentheses. Check this out!"

[ACTION CUE: He writes 3(x + 4) on the board.]

Jeremiah: "Here, we have 3 times the expression x plus 4. First, we identify the number outside the parentheses—that's our 3." [Pauses for emphasis] "Now, we multiply 3 by both x and 4."

[ACTION CUE: Jeremiah writes 3x and 12 under the original expression.]

Jeremiah: "So, we get 3x plus 12! Easy, right? Remember, distributing is like sharing your pizza—everyone gets a slice!" [He smiles, engaging the audience with a relatable analogy.]

[ACTION CUE: Jeremiah circles the new expression, highlighting the transformation.]

Jeremiah: "Next, let’s transition to the Commutative Property. This property tells us that we can swap numbers around in addition and multiplication without changing the result. For example, a + b = b + a."

[ACTION CUE: He writes a + b = b + a on the board.]

Jeremiah: "Let’s rewrite a specific addition problem: what if we have 5 + 2?" [Jeremiah writes it down.] "By the Commutative Property, we can easily flip it to 2 + 5!"

[ACTION CUE: He checks his note, then playfully draws a heart around the equal sign.]

Jeremiah: "It shows the love of numbers! Both sides equal 7! Let's remember that swapping doesn't change the outcome, just like switching your investment strategies!"

[ACTION CUE: Jeremiah looks directly at the camera with a playful grin.]

Jeremiah: "Now, let’s mix things up with the Associative Property. This one is about grouping! It states that the way we group numbers in addition or multiplication doesn't change their sum or product."

*[ACTION CUE: He writes (a + b) + c = a + (b + c).]

Jeremiah: "Imagine we have (3 + 4) + 2. Here, we can group the first two and find their sum: 7." [Jeremiah demonstrates the calculation.] "Now, we can switch our grouping: 3 + (4 + 2) equals 9. Both groups equal 9—a powerful property!"

[ACTION CUE: Jeremiah raises both hands in the air dramatically as if celebrating the victory of numbers.]

Jeremiah: "Remember, investing is about knowing the right groups of assets to maximize your returns! You can mix and match these properties to simplify like a pro!"

[ACTION CUE: He pauses and smiles warmly at the audience.]

Jeremiah: "As we wrap up today, remember these properties: the Distributive Property lets us share, the Commutative allows us to swap, and the Associative helps us group! Learning these will not only improve your math skills, but also empower you in your investing journey!"

[ACTION CUE: Jeremiah stands confidently, putting his hands on the desk, readying for the closing.]

Jeremiah: "Thanks for joining me! If you enjoyed this and want to learn more about rewriting expressions, subscribe and hit the bell for notifications. Now let's go out there and conquer those stock trends together!"

[ACTION CUE: Jeremiah waves goodbye as the camera fades out, displaying his YouTube channel details on the screen.]