Objective

By the end of this lesson, you will be able to understand the basic concepts of calculus and apply them to solve simple problems, all while incorporating your interest in hocus pocus.

Materials and Prep

• Paper and pencil
• Calculator (optional)
• Basic knowledge of addition, subtraction, multiplication, and division

Activities

1. Magic Numbers: Choose a number, let's call it "x," and perform different mathematical operations on it. For example, add 5, subtract 3, multiply by 2, and divide by 4. See if you can predict the final result. This activity will introduce you to the concept of variables and how they can change in mathematical calculations.

2. Spells with Graphs: Draw a coordinate plane on a piece of paper. Create a spell by plotting points on the graph and connecting them with a line. For example, start at point (0,0), then move 3 units to the right and 5 units up, and connect the two points. This activity will help you understand how to read and interpret graphs.

3. Magical Rates of Change: Imagine you are a magician performing a disappearing act. You start with 10 cards, and every second, you make one card disappear. Create a table showing the number of cards you have at different time intervals (e.g., 0 seconds, 1 second, 2 seconds, etc.). This activity will introduce you to the concept of rates of change and how things can change over time.

Fourth Grade Talking Points

• "Calculus is a branch of mathematics that helps us understand how things change and how to solve problems related to change."
• "Variables are like magic numbers that can change in mathematical calculations. We use letters like 'x' to represent variables."
• "Graphs are like magical spells that show us how things are related. We can plot points on a graph and connect them to see patterns."
• "Rates of change tell us how things are changing over time. They can help us understand how fast or slow something is happening."